Estimation of safety distances in the vicinity of fuel gas pipelines
Triangulation

TriangulationTriangulation Prior to the emergence of electronic distance measuring equipment, triangulation was the preferred and principal method for horizontal control surveys, especially if extensive areas were to be covered. Angles could be more easily measured compared with distances, particularly where long lines over rugged and forested terrain were involved, by erecting the very versatile Bilby towers. The method possesses a large number of inherent checks and closure conditions which help detect blunders and errors in field data and increase the possibility of meeting a high standard of accuracy.As implied by its name, triangulation utilizes geometric figures composed of triangles. Horizontal angles and a limited number of sides called base lines are measured. Using the angles and baseline lengths, triangles are solved trigonometrically and positions of stations (vertices) calculated.Different geometric figures have been employed for control extension by triangulation, but chains of quadrilaterals called arcs (Fig. 20-1) are most common. They are the simplest geometric figures permitting rigorous closure checks and adjustments of field observational errors, and they enable point positions to be calculated by two independent routes for computational checks. More complicated figures like that illustrated in Fig. 20-2 are frequently used to establish horizontal control by triangulation in a metropolitan area.Arcs of triangulation originate from one or more stations of known or fixed position and require the azimuth of line. If two or more stations are fixed, azimuth orientation of the network is automatically determined. Today, fixed starting stations and initial azimuths are normally available from other previous higher-order control surveys. The NGS established beginning positions and azimuths for the national network from astronomical observations which also are made at various intervals throughout extensive arcs to check and supplement angle and baseline measurements and help maintain true azimuth orientation. In Fig. 20-1 the arc of triangulation originates from fixed station A and employs the known azimuth of line AB and IJ have been measured. From this information, positions of stations of stations B through IJ were calculated.In executing triangulation surveys, it is general practice to locate a number of intersection stations as part of the project. They can be tall prominent objects in the area, such as church spires, smokestacks, or water towers visible from several triangulation stations.Triangulation Reconnaissance One of the most important aspects of any triangulation survey is the reconnaissance and selection of stations. Factors to be considered are (1) strength of figure, (2) station intervisibility, (3) station accessibility for the original triangulation observing part and surveyors who will subsequently use the stations, and (4) overall project efficiency. Careful attention must be given to each factor in planning and designing the optimum triangulation network; for a given project.Strength of figure deals with the relative accuracies of computed station positions that result from use of angles of various sizes in calculations. Triangulation computations are based on the trigonometric law of sines. The sine function changes significantly for angles near 0°and 180°so a small observational error in an angle close to these values produces a comparatively large difference in position calculations. Conversely, sines of angles near 90 change very slowly; thus,a small observational error in that region causes little change in the computed position since similar observational errors are expected for each angle, design of triangulation figures having favorable angle sizes increases overall triangulation accuracy.Rigorous procedures beyond the scope of this book have been developed for evaluating relative strengths of geometric figures used in triangulation. In general, angles approximately 90°are optimum, and if no angles smaller than 30°or larger than 150°are included in calculations, the figure should have sufficient strength. Locations of triangulation stations fix the angle sizzes so they must be planned carefully for maximum strength of figure. If local terrain or other conditions preclude use of figures having strong angles. More frequent base-line measurements are necessary.Station intervisibility is vital in triangulation because lines of sight to all stations within each figure must be clear for measuring angles. Preliminary decisions on station placement an be resolved from available topographic maps. Intervening ridges that might obstruct sight lines are checked by plotting profiles of the lines between stations. Trees on line and, for long lengths, the combined effects of earth curvature and refraction are additional factors affecting station intervisibility. After making a preliminary decision on station locations, a visual test should be made by visiting each proposed site. Stations are normally placed on the highest points in an area and,if necessary, towers erected to elevate the theodolite, observer, and targets above the ground stations. Because of the uncertainty of refraction near the ground, lines of sight should be kept at least 10 ft above it and not graze intervening ridges.Field Measurements for Triangulation As previously stated, the basic field measurements for triangulation are horizontal angles and base-line lengths. Angles can be measured suing repeating instruments, or more likely directional theodolite such as the Kern DKM-3 having a plate bubble sensitivity of 10-sec/2-mm division, or the Wild T-3 with a 7-sec bubble sensitivity. Both theodolite are suitable for first-order work and permit angles to be read by estimation to the nearest 0.1 sec.To reduce effects of atmospheric refraction on high-order triangulation, observations are made at night with lights for targets. At each station, several “positions”are read; a position consists of angles or directions distributed around the horizontal circle of the instrument in both the direct and plunged modes. With directional theodolite, to compensate for possible circle graduation errors, the circle is advanced by approximately 180°/n for each successive position, where n is the number of positions at the station. Angles should be computed in the field from the directions, checked for acceptable misclosure, and any rejected ones repeated before leaving the station. The average of all satisfactory values for each angle is used in the triangulation calculations.Base lines now preferably are measured by electronic methods, which produce excellent accuracies. Precise Invar tapes may also be used. Several measurements should be made in both directions. Slope distances must be reduced to horizontal and mean sea level lengths calculated, sea level distances are converted to grid lengths by applying scale factors.Triangulation Adjustment Errors that occur in angle and distance measurements require and adjustment. The most rigorous method utilizes least squares. In that procedure, all angle measurements plus distance or azimuth observations can be simultaneously included in the adjustment, and any configuration of quadrilaterals or more complicated figures handled to get station positions having maximum probability. The theory is beyond the scope of this text.Other approximate methods for triangulation adjustments, easily applied to standard figures such as quadrilaterals, also give satisfactory results and are described in advanced surveying books.。
矿井目标定位中移动信标辅助的距离估计新方法

矿井目标定位中移动信标辅助的距离估计新方法胡青松;耿飞;曹灿;张申【摘要】为了降低测距不准对矿井目标定位精度的影响,提出一种移动信标辅助的距离估计方法MBDisEst.该方法由安装有惯导设备或/和激光定位装置的瓦检员或矿车充当移动信标,它们通过与矿山物联网中的其他设备交换信息校准自身坐标.MBDisEst以移动信标和目标节点之间的相对运动和几何约束为基础,利用加权最小二乘法计算目标节点与虚拟信标的距离,可将静止和运动目标的距离估计统一在同一框架.仿真结果表明:MBDisEst的测距精度比TOA的测距精度高,其测距误差随移动信标速度的增大而增大,随移动信标通信半径的增加而减小,基于MBDisEst的定位方法具有较高的定位精度.%To mitigate the affection of the inaccurate distance measurement on the accuracy of the localization system in coal mines, an improved distance estimation method assisted by mobile beacons called MBDisEst was proposed. Some gas inspectors and mining cars equipped with inertial navigation equipment or/and laser positioning devices were selected as mobile anchors, which communicated with other devices for Internet of mine things to calibrate their own coordinates. MBDisEst computed the distances between target nodes and virtual anchors using weighted least square method based on their relative motion and geometrical restriction, and combined static and mobile target scenarios into a unified framework. The simulations show that the distance measurement accuracy of MBDisEst is larger than TOA's, and the measurement error grows up with the speed of mobile anchors and goes down with the communication range of mobile anchors. And thelocalization methods based on distance measurement of MBDisEst has larger accuracy.【期刊名称】《中南大学学报(自然科学版)》【年(卷),期】2017(048)005【总页数】7页(P1227-1233)【关键词】移动信标辅助;矿井目标定位;距离估计;定位精度【作者】胡青松;耿飞;曹灿;张申【作者单位】中国矿业大学信息与控制工程学院,江苏徐州,221008;矿山互联网应用技术国家地方联合工程实验室,江苏徐州,221008;国网北京经济技术研究院徐州勘测设计中心,江苏徐州,221005;中国矿业大学信息与控制工程学院,江苏徐州,221008;矿山互联网应用技术国家地方联合工程实验室,江苏徐州,221008;中国矿业大学信息与控制工程学院,江苏徐州,221008;矿山互联网应用技术国家地方联合工程实验室,江苏徐州,221008【正文语种】中文【中图分类】TD676矿井目标定位系统有助于煤矿企业合理地调配资源,在矿难发生时快速确定受困人员位置[1−2],是煤矿必须配备的安全避险设施之一。
油田生产设施环境安全距离理论与估算方法初探

油田生产设施环境安全距离理论与估算方法初探张 震1,李 巍1,王志强2,郭 霁2(1.北京师范大学环境学院环境模拟与污染控制国家重点联合实验室,北京100875;2.中国石油化工股份有限公司胜利油田技术检测中心,山东东营257000)摘 要:石油生产会带来各种不利的环境影响,甚至造成许多重大安全隐患,并由此对区域生态环境构成严重威胁。
对此笔者提出环境安全距离概念及其理论模型,并结合油田主要生产设施的环境影响分析,给出了油田生产过程中气体污染物排放、噪声污染、井喷、管线泄漏和火灾爆炸的环境安全距离估算方法,从而为减轻油田生产的潜在环境影响和损害,解决城市规划建设与油田已建设施之间的矛盾和确保油田生产的环境安全提供科学依据和管理对策。
关键词:油田;生产设施;风险;环境安全;距离中图分类号:TE687 文献标识码:A 文章编号:167121556(2005)0420095204Studies on the Theory and Estim ation Methods of E nvironmental S afety Distance of the Production F acilities in Oil FieldsZHAN G Zhen1,L I Wei1,WAN G Zhi2qiang2,GUO Ji2(1.S t ate J oi nt Key L aboratory of Envi ronment al S i m ul ation and Poll ution Cont rol,S chool of Envi ronment,B ei j i ng N orm al U ni versit y,B ei j i n g100875,Chi na;2.Technical Ex ami nation Center of S hengli Oil Fiel d,Chi na Pet rochemicalCor poration L imited,Dong y i n g257000,Chi na)Abstract:During t he p rocess of oil production,some negative environmental impact s are usually brought a2 bout toget her wit h environmental risks.Wit h t he develop ment of cities,especially t hose built originally upon t he oil fields,t he conflict s between urban planning of t hese cities and t he p roduction facilities of oil fields have become increasingly prot ruding,and even resulted in increased potential of environmental haz2 ards t hat in t urn constit ute serious t hreat s to t he ecological environment of t he cities.In order to ensure t he safe p roduction of oil fields and t he ecological security of cities,t he concept and t he t heoretical model of environmental safety distance are set up to prevent t he sensitive or valuable environmental component s f rom t he potential environmental impact s or hazards bro ught abo ut by t he p roduction facilities in oil fields. The met hods or models for estimating t he environmental safety distances are established in terms of t he major environmental pollutions or risks including exhaust s,noise,well blowout,leakage of pipes,fire and blast.They p rovide scientific bases and measures for developing environmental safety management,mitiga2 ting t he potential environmental hazards during t he oil p roduction and preventing t he conflict s.K ey w ords:oil fields;production facilities;risk;environmental safety;distance0 引 言随着国家能源需求的飞速增长,油田的开采和生产规模不断扩大。
双目视觉自动检测香蕉植株假茎茎高茎宽

affect the detection accuracy. In the short-distance measurement mode, the measurement accuracy at the 1.2 m distrom the true value reaches 0.8538, and the relative error is only 2.0%.
双目视觉自动检测香蕉植株假茎茎高茎宽
摘要
实时快速的提取植物表型信息已经成为农业生产发展中极为关 键的一步,可以为植物的预测和检测提供帮助。香蕉作为广西重点发 展的水果,实时的测量香蕉假茎茎宽茎高可以为香蕉植株生长参数和 后期的产量评估的提取提供有效的帮助。
本文以香蕉植株为研究对象,通过双目立体视觉与级联分类器结 合的方法来实现香蕉植株假茎茎宽茎高的快速无损测量,设计了一种 基于双目相机的图像测量方法。主要的研究内容包括:
(3) 设计了一种香蕉假茎茎高茎宽联合估算方法。该方法主要针 对远距离测量方式下已获取得到完整的假茎主体的情况。在上一步同 样方法测量得到茎宽参数的同时,也通过两点的间的距离公式计算假 茎的的根部到最低叶片分支下最细的假茎处的置距离的方法得到茎 高的测量结果。结果表明,不同的测量距离会影响检测精度,1.8 m 距离处的香蕉植株假茎茎高茎宽测量精度最高,茎高的识别模型与真 实值的 R2 达到了 0.9717,相对误差仅为 3.1%;茎宽的识别模型与真 实值的 R2 达到了 0.9653,相对误差仅为 1.2%。
(1) The cascade classifier recognizes the pseudo-stem of bananas. According to different measurement purposes, two batches of experiments were carried out, using close distances (0.9 m, 1.2 m, 1.6 m, 1.9 m, some pseudo-stem can be photographed), and long distances (1.8
leg的英语俚语

leg的英语俚语The term "leg" in English slang can refer to a variety of different meanings and contexts. While the literal definition of a leg is one of the two lower limbs of the human body, the slang usage of this word has evolved to encompass all sorts of additional connotations. In this essay, we'll explore the many different ways the word "leg" is used in colloquial English speech and writing.One of the most common slang uses of "leg" is to describe a unit of distance or measurement. For example, someone might say they had to "walk a few legs" to get somewhere, meaning they had to walk a fair distance. This usage stems from the idea that the length of one's leg can be used as a rough estimation of measurement. In the same vein, a person could refer to the "legs" of a journey, meaning the different segments or stages of travel from one place to another.The word "leg" is also often used in sports and athletic contexts. In baseball, for instance, a "leg" can refer to a single base that a runner reaches safely. Getting a "pair of legs" would mean successfully advancing to two bases. Similarly, in horse racing, the differentsections of a race are sometimes called the "legs" of the competition.A horse that wins multiple "legs" of a race series is considered particularly impressive. Even non-sporting activities like hiking can involve "legs" - the different trail sections or converted distances covered during a hike.When it comes to slang related to the human body, "leg" takes on some more colorful connotations. Someone with "good legs" is often considered physically attractive, particularly in reference to a woman's legs. Complimenting a person's "gams" is a more old-fashioned way of commenting on their nice legs. On the flip side, a person who is perceived as unattractive or lacking in physical appeal might be described as having "bum legs."The word "leg" can also be used idiomatically to express other ideas. If someone is said to be "pulling your leg," they are joking or fibbing, trying to trick the listener. Asking someone to "leg it" is a way of telling them to hurry up and get moving. In gambling or gaming, a "leg up" refers to an advantage or head start. And if a plan or scheme is described as having "legs," it means it has longevity and staying power.Interestingly, "leg" has taken on some sexual connotations in slang as well. In this context, it can be used as a verb meaning to engage in sexual activity or flirtation with someone. A person might "leg"another individual at a party, for instance. The term "leg over" is an even more explicit sexual reference. While these usages tend to be considered quite crass, they illustrate how versatile and multifaceted the word "leg" can be in colloquial speech.Beyond just the human body, "leg" has also become a slang term in certain industries and subcultures. In aviation, for example, a "leg" refers to a single flight segment of a longer journey. Pilots and airline staff will often speak of the "legs" of a trip. In the world of crime and law enforcement, a "leg" is used to describe a lead or clue in an investigation. Detectives may pursue different "legs" of a case in search of answers.The slang use of "leg" is not limited to English either. Many other languages have adopted similar colloquial usages of this word. In Spanish, for instance, "la pata" (the leg) can be used informally to refer to a person's foot or lower limb. In French, "une jambe" (a leg) might be used to signify a portion or section of something. These linguistic parallels demonstrate how the slang application of "leg" has become a widespread phenomenon.Ultimately, the versatility of the word "leg" in English slang reflects the central importance of this body part in human experience and culture. From measuring distance to expressing sexuality, legs play a crucial role in our physical, spatial, and metaphorical understandingof the world. The many slang usages of this term highlight just how deeply embedded our conception of "legs" is in the fabric of everyday language and communication. Whether used literally or figuratively, the word "leg" continues to be a rich source of linguistic creativity and expression.。
理工英语3形考答案

理工英语3形考答案—Are you going on holiday for a long time? 正确答案是:No. Only a couple of days.—Do you mind if I smoke here? 正确答案是:Yes, better not. —Does she speak French or German? 正确答案是:either —How did you miss your train? 正确答案是:Well, I was caught in the traffic jam.—How is everything going? 正确答案是:As you can see—I suppose there'll be a lot of arguments. 正确答案是:I should imagine so.—I wish you success in your career. 正确答案是:The same to you.—I wonder if I could use your computer tonight? 正确答案是:Sure, go ahead.—I'd like to take a look first at those structural support beams that were going to be put in place on the second floor. 正确答案是:Certainly—If you invite a Muslim to dinner, what are you advised not to order for him? 正确答案是:pork.—I'm dog tired. I can't walk any further, Tommy. 正确答案是:Come on—I'm leaving for Shanghai tomorrow. 正确答案是:Have apleasant trip!—In what form will you take the investment? 正确答案是:We'll contribute a site and the required premises.—Is it more advisable to upgrade our present facilities than taking the risk of opening a new park? 正确答案是:I don't think so. —Is it possible for you to expand business there?正确答案是:Yes, I think so.—It's getting dark. I'm afraid I must be off now. 正确答案是:See you.—I've started my own software company. 正确答案是:No kidding! Congratulations!—Jack won't like the film, you know. 正确答案是:So what? —Sorry, I made a mistake again. 正确答案是:Never mind. —What vegetables are in season now? 正确答案是:I think —When do we have to pay the bill? 正确答案是:By—Who should be responsible for the accident? 正确答案是:as told—Would you like some more beer? 正确答案是:Just a little ______ these potential problems, two-way radios are preferable as they are extremely reliable for short distances and can broadcast to several people at once. 正确答案是:Given–__________ father took part in the charity activity in theneighbourhood yesterday? 正确答案是:Whose__________ important it is for kids to imagine freely! 正确答案是:How—________________ about it now? 正确答案是:What's being done A budget is an estimation of the _______ and _______ over a specified future period of time. 正确答案是:revenue; expensesA bus driver _______________ the safety of his passengers. 正确答案是:is responsible forA campus emergency ______ occur at any time of the day or night, weekend, or holiday, with little or no warning. 正确答案是:may。
古代没有尺子时人们测量长度英文作文
古代没有尺子时人们测量长度英文作文Firstly, the human body served as an inherent measuring device. The 'cubit', for instance, was a widely used unit derived from the distance between the elbow and the tip of the middle finger. Similarly, the 'foot' corresponded to the average length of an adult's foot, while the 'handspan' equaled the breadth of an outstretched hand. These body-based measurements offered a portable, readily accessible standard that could be easily replicated across diverse populations.Secondly, nature provided a wealth of reference points for length estimation. The height of a fully grown man or the length of a specific plant species, such as a stalk of wheat, served as fixed benchmarks. The distance covered by a certain number of paces or the time taken to walk a known route were also employed to estimate distances. Moreover, the shadow cast by a vertical object at a specific time of day, leveraging the principles of sundial, helped determine shorter lengths.Thirdly, primitive yet effective tools were devised to enhance precision. The 'knotted rope' or 'string line,'marked with uniform intervals, allowed for linear measurements. The 'groma,' an early surveying instrument, facilitated the alignment and measurement of right angles in construction projects. Additionally, the 'water level,' utilizing the principle of communicating vessels, enabled the leveling and measurement of horizontal distances.These methods, though seemingly rudimentary, were grounded in keen observation, empirical knowledge, and a deep understanding of the natural world. They fostered a communal sense of standardization, as individuals within a community would have similar bodily proportions and shared familiarity with local flora and environmental cues. Moreover, they were adaptable to various contexts and scalable through repetition or multiplication, ensuring a degree of reliability in construction, trade, and land division.In conclusion, the absence of modern-day rulers did not deter ancient civilizations from measuring lengths accurately. Instead, it prompted them to harness their innate physical attributes, tap into the timeless rhythms of nature, and devise innovative tools, thereby exemplifying human ingenuity and adaptability in the faceof adversity. These early measurement practices laid the groundwork for the development of standardized units and sophisticated instruments that we rely on today, serving as a testament to mankind's ceaseless pursuit of quantification and precision.。
Am. J. Epidemiol.-2006-Yasui-697-705
Practice of EpidemiologyFamilial Relative Risk Estimates for Use in Epidemiologic AnalysesYutaka Yasui 1,Polly A.Newcomb 2,3,Amy Trentham-Dietz 3,and Kathleen M.Egan 41Department of Public Health Sciences,School of Public Health,University of Alberta,Edmonton,Alberta,Canada.2Cancer Prevention Program,Division of Public Health Sciences,Fred Hutchinson Cancer Research Center,Seattle,WA.3University of Wisconsin Comprehensive Cancer Center,Madison,WI.4Vanderbilt University School of Medicine and Vanderbilt-Ingram Cancer Center,Nashville,TN.Received for publication August 7,2005;accepted for publication March 21,2006.Commonly used crude measures of disease risk or relative risk in a family,such as the presence/absence of disease or the number of affected relatives,do not take into account family structures and ages at disease oc-currence.The Family History Score incorporates these factors and has been used widely in epidemiology.How-ever,the Family History Score is not an estimate of familial relative risk;rather,it corresponds to a measure of statistical significance against a null hypothesis that the family’s disease risk is equal to that expected from reference rates.In this paper,the authors consider an estimate of familial relative risk using the empirical Bayes framework.The approach uses a two-level hierarchical model in which the first level models familial relative risk and the second considers a Poisson count of the number of affected relatives given the familial relative risk from the first level.The authors illustrate the utility of this methodology in a large,population-based case-control study of breast cancer,showing that,compared with commonly used summaries of family history including the Family History Score,the new estimates are more strongly associated with case-control status and more clearly detect effect modification of an environmental risk factor by familial relative risk.Bayes theorem;family;Poisson distribution;regression analysis;riskAbbreviations:AFB,age at first birth;CBCS II,Collaborative Breast Cancer Study II;FSIR,Familial Standardized Incidence Ratio;MLE,maximum likelihood estimator.Estimates of disease relative risk in families have impor-tant utilities in investigations of disease etiology.They are used to examine whether the disease of interest clusters in certain families and whether its etiology has a familial component.They are also used to adjust for familial ag-gregations when evaluating the effects of other nonfamilial etiologic factors in epidemiologic studies.Furthermore,familial relative risk estimates are used to examine effect modification of an etiologic factor according to levels of disease relative risk in families.Finally,a valid assessment of familial relative risk may have important clinical utility in triaging persons for more involved genetic screening and informing family members about potential risks.In spite of the important utilities,family history informa-tion is often handled rather crudely in epidemiologic analy-ses.A commonly used summary of family history is a binary indicator (yes/no)of whether study participants have af-fected family members,often gender specific,in first-or second-degree relatives.Another summary that carries a little more information is the number of affected family members.These crude summaries have two critical deficien-cies in view of their use as familial relative risk estimates.First,they do not account for family size,structure,or ages of family rger families and families with older members are naturally more likely to have members who have developed chronic diseases such as cancer.Second,theCorrespondence to Dr.Yutaka Yasui,Department of Public Health Sciences,University of Alberta,13-106J Clinical Sciences Building,Edmonton,Alberta T6G 2G3,Canada (e-mail:yyasui@ualberta.ca).697Am J Epidemiol2006;164:697–705American Journal of EpidemiologyCopyright ª2006by the Johns Hopkins Bloomberg School of Public Health All rights reserved;printed in U.S.A.Vol.164,No.7DOI:10.1093/aje/kwj256Advance Access publication August 21,2006at :: on November 11, 2014/Downloaded fromcrude summaries do not take chance into account:families with identical familial relative risk levels,sizes,structures,and ages can yield different numbers of affected members by chance alone.Kerber (1)proposed the Familial Standardized Incidence Ratio (FSIR)as a measure of familial relative risk that ac-counts for family size,structure,or ages of family members.Boucher and Kerber (2)applied a linear empirical Bayes approach to log f 1þlog(1þFSIR)g with a normality as-sumption to its underlying true values.In this paper,we extend Kerber’s method for estimating familial relative risk levels,applying empirical Bayes estimation methods with a nonparametric discrete prior distribution to overcome the deficiencies of the crude summaries.Following a brief re-view of the Family History Score (3),which was proposed for the same reasons as described above,we explain why it is actually not an estimate of familial relative risk.The utility of the new method proposed here is shown in a large,population-based case-control study of breast cancer.Two main points are illustrated.First,the empirical Bayes esti-mates of familial relative risk are associated with case-control status more strongly than other summary measures of family history,including Family History Scores.Second,they detect an effect modification of an environmental risk factor according to the level of familial relative risk more clearly than do other summary measures.In the Discussion section of this paper,we outline the potential use of the empirical Bayes familial relative risk estimates in other areas of public health and clinical research.FAMILY HISTORY SCOREA method previously proposed to overcome the defi-ciencies of the crude summaries and used widely in epide-miologic analyses is the Family History Score (3).In thisapproach,an expected risk of the disease of interest is com-puted for each family member by using a set of external reference rates for the disease.For i th family’s j th member,the expected risk E ij is given by the cumulative risk of the disease under observation (4):E ij ¼1ÿexp ÿXkk k t ijk !;where k k is the external reference rate for the k th stratum(e.g.,age-sex-race–defined stratum)and t ijk is the length of time that i th family’s j th member spent under observation in the k th stratum.Ages of family members are accounted for in the computation of the expected risks.The Family His-tory Score Z i for i th family is defined byZ i ¼P j O ij ÿP j E ijPj E ij ð1ÿE ij Þn o ;where O ij is the disease indicator of i th family’s j th mem-ber.If the disease is rare,then E ij is approximately equal to Pk k k t ijk and E ij ð1ÿE ij Þ E ij ;resulting in a simpler formula:Z i ¼P j O ij ÿPj E ij Pj E ij1=2:The Family History Score Z i is in the form of a test sta-tistic,which suggests a measure of statistical significance against a null hypothesis that the disease risk for each family member is equal to the expected risk computed from the external reference rates.A Bernoulli random variable O ij has the ‘‘success probability’’E ij under the null hypothesis and,accordingly,we haveE XjO ij 2435¼X jE ij Var XjO ij 2435¼X jE ij ð1ÿE ij Þ;where the variance formula assumes that O ij ’s within each family are uncorrelated.The Family History Score Z i can then be seen as a test statistic in the form of ðX ÿE ½X Þ=ðVar ½X Þ1=2that usually leads to a standard normal large-sample distribution,where the large sample refers to the size of each family being large.A Family History Score is actually not an estimate of the familial relative risk level.It is a test statistic for a null hypothesis that the disease risk for each family member is equal to the expected risk computed from the external ref-erence rates.Statistical significance determined by the ob-served value of a test statistic is a function of a sample size (i.e.,family size,structure,and ages)as well as the degree of departure from the null hypothesis (i.e.,familial relative risk levels).Data for larger families tend to give higher statistical significance and therefore larger absolute values of Family History Scores given the same level of familial risk.Note also that the numeric values of Family History Scores cannot be interpreted directly.They suggest statis-tical significance levels determined according to a known probability distribution of the test statistic.In other words,Family History Scores order families by statistical signifi-cance against the null hypotheses,but their numeric values require a metric,the known probability distribution of the test statistic,in order to have interpretable numeric distances between them.These considerations have led us to a dif-ferent approach to estimating familial relative risk levels,which shares similarities with the methods of Kerber (1)and of Boucher and Kerber (2).EMPIRICAL BAYES ESTIMATES OF FAMILIAL RELATIVE RISKWe define the familial relative risk of the disease for i th family as the relative risk of the disease shared by the mem-bers of i th family relative to the external reference.Our model isE ½O ij ¼h i E ij ;698Yasui et al.Am J Epidemiol 2006;164:697–705at :: on November 11, 2014/Downloaded fromwhere O ij ’s are Bernoulli random variables conditionally independent given h i ’s.We may estimate h i by maximiz-ing the sum of the Bernoulli log-likelihood for i th family.The score equation that the maximum likelihood estimator(MLE)ˆhi satisfies is Pj ðO ij ÿˆh i E ij ÞP j ˆh ið1ÿˆh i E ij Þ¼0and the MLE can be simplified to ˆh i ¼P j O ij =P jE ij ;the standardized mortality (or incidence)ratio,under the rare disease assumption.The precision of the MLEs variesacross families,however,because ˆhi is based solely on i th family’s data,and family sizes,structures,and ages differ across families.Small families with Pj O ij 1could yieldextremely high values of ˆhi ’s just by chance alone.Similar difficulties with the MLEs can occur in other bio-statistical applications such as estimation of small-area dis-ease risks (5)and comparison of risk across hospitals for a given medical procedure (6).A common feature shared by these problems is that there are many parameters to be es-timated,each of which is indexed by one of the units of var-ious sizes (e.g.,families,small areas,and hospitals),and the data available from each unit are limited.As a consequence,extreme values of MLEs occur for small units corresponding to very large variances of MLEs.Such difficulties with MLEs can be alleviated by theuse of hierarchical models in which ˆhi ’s are considered random quantities and are modeled in an additional hier-archical layer.Specifically,the hierarchical model takes the formO ij ’s given h i ’s,are independent Bernoulli randomvariables with E ½O ij j h i ¼h i E ij h i ’s are independent following a common distribution G ;8<:where G denotes a probability distribution over positive real numbers.Let us call the layers for O ij j h i and h i the ‘‘observ-able level’’and the ‘‘latent level’’of the hierarchical model,respectively.The latent level assumes common stochastic features for h i ’s,which provide additional information on shared characteristics of h i ’s that are not used to compute MLEs.By adding the latent level,estimators of h i ’s can ‘‘borrow strength’’from other units (e.g.,families)by com-bining the information on each individual unit with that on the common characteristics of h i ’s.For the distribution G of h i ’s,we propose the use of a (nonparametric)discrete distribution with K levels of fa-milial relative risk f /k ;k ¼1;2;...;K g and their associ-ated probabilities f p k g .While G can be a (parametric)continuous distribution such as gamma or lognormal distri-butions,the nonparametric G has an advantage in its flex-ible shape,determined by the data.Maximum likelihood estimation of the nonparametric G has been discussed by a number of authors (7–9).To compute the MLE of G ,we used the C.A.MAN program (Computer Assisted Mixture ANalysis)of Bo ¨hning et al.(10)and their freeware (11).Once the MLE of G is computed,the empirical Bayes esti-mate of h i is given by the posterior mean of h i with the MLE f ˆ/kg ;f p ˆk g ;and K ˆ:ˆh i ¼P K ˆk ¼1ˆ/k p ˆk L ðo i ;ˆ/k ÞP K ˆk ¼1pˆk L ðo i ;ˆ/k Þ;where L ðo i ;ˆ/kÞis the probability of observing the realiza-tion vector o i ¼ðo i 1;o i 2;...Þgiven /k ¼ˆ/k :Note that ˆh i is of the form of a weighted average of f ˆ/kg :APPLICATION TO AN EPIDEMIOLOGICINVESTIGATION OF BREAST CANCER ETIOLOGYAs an example,we apply the proposed familial risk es-timates to a large,population-based case-control study ofbreast cancer.Two main points are illustrated.First,the empirical Bayes estimates of familial relative risk are asso-ciated with case-control status more strongly than other summary measures of family history,including Family His-tory Scores.Second,these estimates detect an effect modi-fication of an environmental risk factor according to the level of familial relative risk more clearly than do other summary measures.Collaborative Breast Cancer Study IIThe data used in this illustration were derived from the Collaborative Breast Cancer Study II (CBCS II);the CBCS II study protocol was approved by the institutional review boards of the participating institutions (12,13).Briefly,CBCS II was a case-control study of breast cancer in which cases were female residents of Wisconsin,Massachusetts (excluding metropolitan Boston),and New Hampshire with a new diagnosis of invasive breast cancer reported to each state’s cancer registry from January 1992through December 1994and aged 50–79years at the time of diagnosis.Of the 6,839eligible cases,5,685completed the standardized telephone interview (83percent).Community controls were randomly selected in each state by using two sampling frames:those 50–64years of age were selected from lists of licensed drivers,and those 65–79years of age were chosen from rosters of Medicare beneficiaries.The controls were selected at random within age strata to yield an age distri-bution similar to that of the cases within each state.Of the 7,655potential controls,5,951completed the telephone interview (78percent).A 40-minute telephone interview elicited information on the number of sisters and daughters for each participant,their current ages,and the age of their mother.If these fe-male relatives were deceased,the interview inquired about their age at death.Participants were asked whether these first-degree female relatives were ever diagnosed with can-cer (including breast cancer)and,if so,the type of cancer and age at diagnosis.The interview also covered reproduc-tive history,physical activity,selected dietary items,alcohol consumption and tobacco use,use of exogenous hormones,body height and weight,personal medical history,and de-mographic factors.Familial Relative Risk Estimates 699Am J Epidemiol 2006;164:697–705at :: on November 11, 2014/Downloaded fromEmpirical Bayes estimates of familial relative risk of breast cancerUsing the first-degree female family history data col-lected in CBCS II,we estimated familial relative risk lev-els of breast cancer by using the empirical Bayes method.For each first-degree female family member,we calculated her person-years at risk of breast cancer incidence stratify-ing by 5-year age segments from birth to the earlier occur-rence of death or the reference date of her family’s enrolled subject.Reference dates for study subjects were defined as the date of diagnosis for breast cancer cases and,for con-trols,the date randomly sampled from the dates of diagnosis among cases within the same 5-year age stratum (on aver-age,1year prior to interview).We then multiplied each person-time segment by the corresponding age-specific ref-erence rate of breast cancer incidence among White females taken from the data of the Surveillance,Epidemiology,and End Results Program registry (14).Summing the products of the above multiplication for each family member yielded each participant’s expected risk E ij of developing breast cancer.Since it is reasonable to assume the rare disease condition for breast cancer,we were able to approximate the model byO i ð¼Pj O ij Þ’s given h i ’s,are independent Poisson random variables with E ½O i j h i ¼h i P j E ijh i’s are independent following a common nonparametric discrete distribution G :8>><>>:We fitted this model by using the vertex exchange algo-rithm with the Newton-Raphson full-optimization step-length procedure in the C.A.MAN program (UNIX version)(10,11).The initial parameter grid was chosen as 10equally spaced points between a relative risk of 0.1and 5.0.The algorithm was stopped based on the maximum directional derivative with an accuracy level of 0.00001.The C.A.MANprogram identified seven grid points (Kˆ¼7)with positive support,which was then refined with the program’s EM algorithm.The resulting nonparametric MLE of G is shown in figure 1.Three of the seven points were very close to each other around a relative risk of 2.6because the EM algo-rithm was stopped by any practical convergence criterion (10):it stopped at the 806th step.However,this does not have any important consequences,as evident from several examples in the paper that described the C.A.MAN pro-gram in detail (10).Specifically,we can interpret figure 1as showing five relative risk clusters,instead of seven,andFIGURE 1.Nonparametric maximum likelihood estimates of the familial relative risk distribution of breast cancer in the Collaborative Breast Cancer Study II (Wisconsin;Massachusetts,excluding metropolitan Boston;and New Hampshire,1992–1994).700Yasui et al.Am J Epidemiol 2006;164:697–705at :: on November 11, 2014/Downloaded fromFIGURE 2.Empirical Bayes familial relative risk estimates of breast cancer for participants in the Collaborative Breast Cancer Study II (Wisconsin;Massachusetts,excluding metropolitan Boston;and New Hampshire,1992–1994)according to the expected number of affected familymembers.FIGURE 3.Family History Scores of breast cancer for participants in the Collaborative Breast Cancer Study II (Wisconsin;Massachusetts,excluding metropolitan Boston;and New Hampshire,1992–1994)according to the expected number of affected family members.Familial Relative Risk Estimates 701Am J Epidemiol 2006;164:697–705at :: on November 11, 2014/Downloaded fromthe numerical values of the empirical Bayes estimates f ˆhi g would have changed negligibly if the algorithm had run for a longer time.With this nonparametric MLE of G ,the empirical Bayesestimate ˆhi of the familial relative risk level for the i th participant was calculated by the posterior-mean equation.Figure 2displays the empirical Bayes familial relative risk estimates f ˆh i g according to the expected counts f P j E ij g of breast cancer cases in the families.The empirical Bayes familial relative risk estimates are lower for families with larger expected counts for a given observed count of affected family members,P j O ij :This is sensible because,for a given observed count of affected family members,P j O ij ;true familial relative risk should tend to be lower with a larger expected count of affected family members.For CBCS II participants with no family history of breast cancer ðP j O ij ¼0Þ;the empirical Bayes estimates are all less than 1.0.To contrast with the empirical Bayes estimates,the Family History Score values were plotted (figure 3).Recall that Family History Scores are indicators of statistical signifi-cance,not estimates of familial relative risk.Very small dif-ferences in the expected count of affected family members,Pj E ij ;can lead a range of observed counts of affected fam-ily members,P j O ij ;to the same Family History Score;for example,a Family History Score of 6can arise from fam-ilies with ðPj O ij ;P j E ij Þ¼(1,0.03),(2,0.10),(3,0.22),and (4,0.37).Extremely large Family History Score values were observed among the families with the smallest ex-pected counts.These features of Family History Scores are clearly unsuitable for use as estimates of familial relative risk levels.Main effects of family history on disease riskWe examined the degree of association between the case-control status of the CBCS II participants and their familial relative risk estimates to assess the strength of evidence for familial aggregation.We fitted a conditional logistic regres-sion model,conditioned on age group and US state (corre-sponding to the study design),to the case-control data of theTABLE 1.Model deviance and odds ratio estimates with 95%confidence intervals from conditional logistic regression analyses of Collaborative Breast Cancer Study II data (Wisconsin;Massachusetts,excluding metropolitan Boston;and New Hampshire,1992–1994)using various summary measures of familial risk of breast cancer as covariatesSummary measures of familial riskdfUnadjusted *Adjusted y Deviance explainedOdds ratio estimate95%confidenceintervalDeviance explainedOdds ratio estimate95%confidenceintervalFamily historyindicator 1111.5113.6No 1.00 1.00Yes1.731.56,1.92 1.791.60,1.99Observed count(continuous)1116.1 1.591.46,1.73119.8 1.631.49,1.78Observed count 4120.2122.60 1.00 1.001 1.67 1.50,1.87 1.71 1.53,1.922 1.99 1.49,2.66 2.18 1.61,2.963 5.40 2.09,13.93 5.34 2.05,13.9144.260.49,37.07 4.380.50,38.44Family History Score(continuous)187.8 1.141.11,1.1891.5 1.161.12,1.20Family History Score 4118.6118.7<0 1.00 1.00[0,1.305)z 1.42 1.17,1.72 1.54 1.26,1.87[1.305,1.938)z 1.78 1.47,2.16 1.87 1.53,2.28[1.938,2.910)z 1.81 1.49,2.19 1.75 1.43,2.15 2.910z 1.981.63,2.412.071.68,2.55Empirical Bayesestimates (continuous)1123.9 2.50 2.12,2.94122.0 2.58 2.18,3.06*Conditional logistic regression analysis conditional on age and state of residence.y Conditional logistic regression analysis conditional on age and state of residence,adjusting for age at menar-che,parity,age at first birth,age at menopause,body mass index,exogenous hormone use,alcohol consumption,and educational level.z Quartiles of positive Family History Scores.702Yasui et al.Am J Epidemiol 2006;164:697–705at :: on November 11, 2014/Downloaded fromCBCS II with their familial relative risk estimates as a sole covariate(unadjusted analysis)and with a set of adjustment variables(adjusted analysis).The adjustment variables in-cluded participants’age at menarche,parity,age atfirst birth (AFB),age at menopause,body mass index,exogenous hormone use,alcohol consumption,and educational level. Matching on age and the state of residence in the design of the CBCS II was accounted for in the analysis as strata of the conditional logistic regression.Table1presents the deviance explained and odds ratio estimates by each type of familial relative risk estimate in the unadjusted and adjusted condi-tional logistic regression analyses.The amount of deviance explained was used to measure the strength of association between disease status and familial relative risk estimates. Empirical Bayes estimates explained the largest amount of deviance in the unadjusted analysis and nearly the largest in the adjusted analysis using only1degree of freedom,close to the categorical observed counts that used4degrees of freedom.Family History Scores did not show as strong asso-ciations as empirical Bayes estimates,even when the scores were categorized intofive groups(negative and quartiles of positive scores).Thisfinding was consistent with our de-scription earlier that Family History Scores are not estimates of familial relative risk.The results shown in table1suggest that empirical Bayes estimates of familial relative risk pro-vide higher power in the assessment of the main effects of family history(familial aggregation)on disease risk than either the crude summaries or Family History Scores. Examination of an indication of gene-environmental interactionColditz et al.(15)and Egan et al.(16)reported that the effects of reproductive factors on breast cancer risk were modified by family history.Following this intriguingfind-ing,we assessed the effect modification of parity/AFB ef-fects according to familial relative risk levels.We created a covariate of parity and AFB by forming four categories of reproductive patterns:1)nulliparous,2)AFB before age 20years,3)AFB at age20–29years,and4)AFB at age 30years or ing the same conditional logistic re-gression models as those described above(unadjusted and adjusted analyses),we tested an interaction of the parity-AFB covariate with familial relative risk estimates.Three types of familial relative risk estimates were examined,and the results of the unadjusted analysis are shown in table2 (the adjusted analysis gave very similar odds ratio estimates, which are not shown in the tables).The top third of table2shows the odds ratio estimates and95percent confidence intervals for each category of the parity-AFB covariate by presence/absence of family history. The interaction of the parity-AFB covariate and family his-tory was not clear from the odds ratio estimates and was notstatistically significant:v2¼1.74with3degrees of freedom yielding p¼0.63in the unadjusted analysis(p¼0.78in the adjusted analysis).The middle third of this table shows the interaction of the parity-AFB covariate with whether the number of affectedfirst-degree female relatives was two or more.The odds ratio estimates suggest the presence of an effect modification,but the test for interaction was not statistically significant:v2¼4.60with3degrees of freedom yielding p¼0.20in the unadjusted analysis(p¼0.30in the adjusted analysis).The bottom third of table2shows the interaction of the parity-AFB covariate with whether the empirical Bayes es-timate of familial relative risk was1.75or more(i.e.,top 2percent).The odds ratio estimates suggest a pattern of the TABLE2.Odds ratio estimates with95%confidence intervals for parity/age atfirst birth according to various summary measures of familial risk or breast cancer from conditional logistic regression analyses of Collaborative Breast Cancer Study II data(Wisconsin;Massachusetts,excluding metropolitan Boston;and New Hampshire,1992–1994) Familial risk variable andage atfirst birth(years)Odds ratioestimate95%confidenceinterval Family history¼no<20 1.0020–29 1.51 1.26,1.8030 1.47 1.22,1.79Nulliparous 1.28 1.12,1.45 Family history¼yes<20 1.98 1.43,2.7420–29 2.01 1.42,2.8430 1.690.49,1.91Nulliparous 1.62 1.23,2.15Interaction test v2¼1.74(df¼3),p¼0.63<2affectedfirst-degreefemale relatives<20 1.0020–29 1.31 1.16,1.4730 1.58 1.22,1.88Nulliparous 1.57 1.12,1.842affectedfirst-degreefemale relatives<20 3.16 1.43,6.6220–29 1.80 1.42,2.4830 1.940.49,6.19Nulliparous 5.51 1.23,20.55Interaction test v2¼4.60(df¼3),p¼0.20 Empirical Bayesestimate<1.75<20 1.0020–29 1.31 1.17,1.4830 1.58 1.32,1.88Nulliparous 1.57 1.34,1.85 Empirical Bayesestimate 1.75<20 4.80 1.96,11.7220–29 1.59 1.12,2.2430 3.030.64,14.51Nulliparous 5.04 1.33,19.13Interaction test v2¼8.26(df¼3),p¼0.04Familial Relative Risk Estimates703Am J Epidemiol2006;164:697–705 at :: on November 11, 2014 / Downloaded from。
manifold-based method
manifold-based methodManifold-based methods refer to a class of algorithms used in machine learning and computer vision that aim to capture the underlying structure of high-dimensional data by modeling it as a low-dimensional manifold embedded in a higher dimensional space. These methods have gained popularity in recent years due to their ability to efficiently handle high-dimensional and complex data.One of the main benefits of manifold-based methods is that they can effectively deal with the curse of dimensionality. As the dimensionality of data increases, traditional algorithms may suffer from overfitting and become less efficient in capturing the underlying data structure. Manifold-based methods overcome this limitation by assuming that the data lies on a low-dimensional manifold, allowing for efficient representation and analysis of high-dimensional data.One widely used manifold-based method is manifold learning, which aims to discover the intrinsic geometric structure of the data manifold from the given high-dimensional data points. This approach is particularly useful when dealing with nonlinear and non-Gaussian data distributions. Common manifold learning algorithms include Isomap, Locally Linear Embedding (LLE), and t-Distributed Stochastic Neighbor Embedding (t-SNE).Isomap is a technique that uses geodesic distances to construct a neighborhood graph, allowing for the estimation of the low-dimensional embedding. It preserves the global geometry of the data manifold and is often used for visualization tasks. LLE, on theother hand, focuses on preserving the local structure of the data manifold by reconstructing each data point as a linear combination of its neighbors. It generates a lower-dimensional representation that reflects the intrinsic structure of the data manifold.t-SNE, a more recently developed technique, is particularly useful for visualizing high-dimensional data. It uses a probabilistic approach to construct a lower-dimensional embedding that preserves pairwise similarities between data points. It is widely used in tasks such as visualizing word embeddings in natural language processing and clustering analysis.In addition to manifold learning, manifold-based methods also include other techniques such as manifold regularization and manifold alignment. Manifold regularization aims to incorporate the manifold structure into traditional learning algorithms by adding a regularization term to the objective function. This encourages the learned model to respect the manifold structure and improves generalization performance. Manifold alignment, on the other hand, aims to align multiple data manifolds in different domains by finding a common low-dimensional subspace that captures the shared structure among them.Overall, manifold-based methods provide powerful tools for analyzing high-dimensional and complex data. By leveraging the underlying manifold structure, these methods facilitate efficient representation, visualization, and analysis of data. They have been successfully applied in various domains, including computer vision, natural language processing, and bioinformatics, leading to improved performance in a wide range of machine learning tasks.。
[孙子兵法].The.Art.of.War.英文文字版
/SUN TZU.THE Art of WarTranslated from the chinese by:..LIONEL GILES, M.A. ..[This is the basic text of Sun Tzu on the Art of War. It was extracted from Mr. Giles’ co I. LAYING PLANSSun Tzu said: The art of war is of vital importance to the State.It is a matter of life and death, a road either to safety or to ruin. Hence it is a subjec The art of war, then, is governed by five constant factors, to be taken into account in on These are:-1The Moral Law;-2Heaven;-3Earth;-4The Commander;-5Method and discipline.The Moral Law causes the people to be in complete accord with their ruler, so that they wi Heaven signifies night and day, cold and heat, times and seasons.Earth comprises distances, great and small; danger and security; open ground and narrow pa The Commander stands for the virtues of wisdom, sincerely, benevolence, courage and strict By method and discipline are to be understood the marshaling of the army in its proper sub These five heads should be familiar to every general: he who knows them will be victorious Therefore, in your deliberations, when seeking to determine the military conditions, let t -1Which of the two sovereigns is imbued with the Moral law?-2Which of the two generals has most ability?-3With whom lie the advantages derived from Heaven and Earth?-4On which side is discipline most rigorously enforced?-5Which army is stronger?-6On which side are officers and men more highly trained?-7In which army is there the greater constancy both in reward and punishment?By means of these seven considerations I can forecast victory or defeat.The general that hearkens to my counsel and acts upon it, will conquer: let such a one be While heading the profit of my counsel, avail yourself also of any helpful circumstances o According as circumstances are favorable, one should modify one’s plans.All warfare is based on deception.Hence, when able to attack, we must seem unable; when using our forces, we must seem inact Hold out baits to entice the enemy. Feign disorder, and crush him.If he is secure at all points, be prepared for him. If he is in superior strength, evade h If your opponent is of choleric temper, seek to irritate him. Pretend to be weak, that he If he is taking his ease, give him no rest. If his forces are united, separate them.Attack him where he is unprepared, appear where you are not expected.These military devices, leading to victory, must not be divulged beforehand.Now the general who wins a battle makes many calculations in his temple ere the battle is II. WAGING WARSun Tzu said: In the operations of war, where there are in the field a thousand swift cha When you engage in actual fighting, if victory is long in coming, then men’s weapons wil Again, if the campaign is protracted, the resources of the State will not be equal to the Now, when your weapons are dulled, your ardor damped, your strength exhausted and your tr Thus, though we have heard of stupid haste in war, cleverness has never been seen associa There is no instance of a country having benefited from prolonged warfare.It is only one who is thoroughly acquainted with the evils of war that can thoroughly und The skillful soldier does not raise a second levy, neither are his supply-wagons loaded m Bring war material with you from home, but forage on the enemy. Thus the army will have f Poverty of the State exchequer causes an army to be maintained by contributions from a di On the other hand, the proximity of an army causes prices to go up; and high prices causeWhen their substance is drained away, the peasantry will be afflicted by heavy exa13, With this loss of substance and exhaustion of strength, the homes of the people will b Hence a wise general makes a point of foraging on the enemy. One cartload of the enemy’s Now in order to kill the enemy, our men must be roused to anger; that there may be advant Therefore in chariot fighting, when ten or more chariots have been taken, those should be This is called, using the conquered foe to augment one’s own strength.In war, then, let your great object be victory, not lengthy campaigns.Thus it may be known that the leader of armies is the arbiter of the people’s fate, the III. ATTACK BY STRATAGEMSun Tzu said: In the practical art of war, the best thing of all is to take the enemy’s Hence to fight and conquer in all your battles is not supreme excellence; supreme excelle Thus the highest form of generalship is to balk the enemy’s plans; the next best is to p The rule is, not to besiege walled cities if it can possibly be avoided. The preparation The general, unable to control his irritation, will launch his men to the assault like sw Therefore the skillful leader subdues the enemy’s troops without any fighting; he captur With his forces intact he will dispute the mastery of the Empire, and thus, without losin It is the rule in war, if our forces are ten to the enemy’s one, to surround him; if fiv If equally matched, we can offer battle; if slightly inferior in numbers, wecan avoid the enemy; if quite unequal in every way, we can flee from him.Hence, though an obstinate fight may be made by a small force, in the end it must be capt Now the general is the bulwark of the State; if the bulwark is complete at all points; th There are three ways in which a ruler can bring misfortune upon his army:---1By commanding the army to advance or to retreat, being ignorant of the fact that it canno -2By attempting to govern an army in the same way as he administers a kingdom, being ignora -3By employing the officers of his army without discrimination, through ignorance of the mi But when the army is restless and distrustful, trouble is sure to come from the other feu Thus we may know that there are five essentials for victory:-1He will win who knows when to fight and when not to fight.-2He will win who knows how to handle both superior and inferior forces.-3He will win whose army is animated by the same spirit throughout all its ranks.-4He will win who, prepared himself, waits to take the enemy unprepared.-5He will win who has military capacity and is not interfered with by the sovereign.Hence the saying: If you know the enemy and know yourself, you need not fear the result oIV. TACTICAL DISPOSITIONSSun Tzu said: The good fighters of old first put themselves beyond the possibility of def To secure ourselves against defeat lies in our own hands, but the opportunity of defeatin Hence the saying: One may know how to conquer without being able to do it.Security against defeat implies defensive tactics; ability to defeat the enemy means taki Standing on the defensive indicates insufficient strength; attacking, a superabundance of The general who is skilled in defense hides in the most secret recesses of the earth; he To see victory only when it is within the ken of the common herd is not the acme of excel Neither is it the acme of excellence if you fight and conquer and the whole Empire says, To lift an autumn hair is no sign of great strength; to see the sun and moon is no sign o What the ancients called a clever fighter is one who not only wins, but excels in winning Hence his victories bring him neither reputation for wisdom nor credit for courage.He wins his battles by making no mistakes. Making no mistakes is what establishes the cer Hence the skillful fighter puts himself into a position which makes defeat impossible, an Thus it is that in war the victorious strategist only seeks battle after the victory has The consummate leader cultivates the moral law, and strictly adheres to method and discip In respect of military method, we have, firstly, Measurement; secondly, Estimation of qua Measurement owes its existence to Earth; Estimation of quantity to Measurement; Calculati A victorious army opposed to a routed one, is as a pound’s weight placed in the scale ag The onrush of a conquering force is like the bursting of pent-up waters into a chasm a thV. ENERGYSun Tzu said: The control of a large force is the same principle as the control of a few Fighting with a large army under your command is nowise different from fighting with a sm To ensure that your whole host may withstand the brunt of the enemy’s attack and remain That the impact of your army may be like a grindstone dashed against an egg--this is effe In all fighting, the direct method may be used for joining battle, but indirect methods w Indirect tactics, efficiently applied, are inexhaustible as Heaven and Earth, unending as There are not more than five musical notes, yet the combinations of these five give rise There are not more than five primary colors (blue, yellow, red, white, and black), yet in There are not more than five cardinal tastes (sour, acrid, salt, sweet, bitter), yet comb In battle, there are not more than two methods of attack--the direct and the indirect; ye The direct and the indirect lead on to each other in turn. It is like moving in a circle- The onset of troops is like the rush of a torrent which will even roll stones along in it The quality of decision is like the well-timed swoop of a falcon which enables it to striTherefore the good fighter will be terrible in his onset, and prompt in his decisiEnergy may be likened to the bending of a crossbow; decision, to the releasing of a trigg Amid the turmoil and tumult of battle, there may be seeming disorder and yet no real diso Simulated disorder postulates perfect discipline, simulated fear postulates courage; simu Hiding order beneath the cloak of disorder is simply a question of subdivision; concealin Thus one who is skillful at keeping the enemy on the move maintains deceitful appearances By holding out baits, he keeps him on the march; then with a body of picked men he lies i The clever combatant looks to the effect of combined energy, and does not require too muc When he utilizes combined energy, his fighting men become as it were like unto rolling lo Thus the energy developed by good fighting men is as the momentum of a round stone rolledVI. WEAK POINTS AND STRONGSun Tzu said: Whoever is first in the field and awaits the coming of the enemy, will be f Therefore the clever combatant imposes his will on the enemy, but does not allow the enem By holding out advantages to him, he can cause the enemy to approach of his own accord; o If the enemy is taking his ease, he can harass him; if well supplied with food, he can st Appear at points which the enemy must hasten to defend; march swiftly to places where you An army may march great distances without distress, if it marches through country where t You can be sure of succeeding in your attacks if you only attack places which are undefen Hence that general is skillful in attack whose opponent does not know what to defend; and O divine art of subtlety and secrecy! Through you we learn to be invisible, through you i You may advance and be absolutely irresistible, if you make for the enemy’s weak points; If we wish to fight, the enemy can be forced to an engagement even though he be sheltered If we do not wish to fight, we can prevent the enemy from engaging us even though the lin By discovering the enemy’s dispositions and remaining invisible ourselves, we can keep o We can form a single united body, while the enemy must split up into fractions. Hence the And if we are able thus to attack an inferior force with a superior one, our opponents wi The spot where we intend to fight must not be made known; for then the enemy will have to For should the enemy strengthen his van, he will weaken his rear; should he strengthen hi Numerical weakness comes from having to prepare against possible attacks; numerical stren Knowing the place and the time of the coming battle, we may concentrate from the greatest But if neither time nor place be known, then the left wing will be impotent to succor the Though according to my estimate the soldiers of Yueh exceed our own in number, that shall Though the enemy be stronger in numbers, we may prevent him from fighting. Scheme so as t Rouse him, and learn the principle of his activity or inactivity. Force him to reveal him Carefully compare the opposing army with your own, so that you may know where strength is In making tactical dispositions, the highest pitch you can attain is toconceal them; conceal your dispositions, and you will be safe from theprying of the subtlest spies, from the machinations of the wisest brains.How victory may be produced for them out of the enemy’s own tactics--that is what the mu All men can see the tactics whereby I conquer, but what none can see is the strategy out Do not repeat the tactics which have gained you one victory, but let your methods be regu Military tactics are like unto water; for water in its natural course runs away from high So in war, the way is to avoid what is strong and to strike at what is weak.Water shapes its course according to the nature of the ground over which it flows;Therefore, just as water retains no constant shape, so in warfare there are no constant c He who can modify his tactics in relation to his opponent and thereby succeed in winning, The five elements (water, fire, wood, metal, earth) are not always equally predominant; tVII. MANEUVERINGSun Tzu said: In war, the general receives his commands from the sovereign.Having collected an army and concentrated his forces, he must blend and harmonize the dif After that, comes tactical maneuvering, than which there is nothing more difficult. The d Thus, to take a long and circuitous route, after enticing the enemy out of the way, and t Maneuvering with an army is advantageous; with an undisciplined multitude, most dangerous If you set a fully equipped army in march in order to snatch an advantage, the chances ar Thus, if you order your men to roll up their buff-coats, and make forced marches without The stronger men will be in front, the jaded ones will fall behind, and on this plan only If you march fifty LI in order to outmaneuver the enemy, you will lose the leader of your If you march thirty LI with the same object, two-thirds of your army will arrive.We may take it then that an army without its baggage-train is lost; without provisions it We cannot enter into alliances until we are acquainted with the designs of our neighbors. We are not fit to lead an army on the march unless we are familiar with the face of the c We shall be unable to turn natural advantage to account unless we make use of local guide In war, practice dissimulation, and you will succeed.Whether to concentrate or to divide your troops, must be decided by circumstances.Let your rapidity be that of the wind, your compactness that of the forest.In raiding and plundering be like fire, is immovability like a mountain.Let your plans be dark and impenetrable as night, and when you move, fall like a thunderb When you plunder a countryside, let the spoil be divided amongst your men; when you captu Ponder and deliberate before you make a move.He will conquer who has learnt the artifice of deviation. Such is the art of maneuvering. The Book of Army Management says: On the field of battle, the spoken word does not carry Gongs and drums, banners and flags, are means whereby the ears and eyes of the host may b The host thus forming a single united body, is it impossible either for the brave to adva In night-fighting, then, make much use of signal-fires and drums, and in fighting by day, A whole army may be robbed of its spirit; a commander-in-chief may be robbed of his prese Now a soldier’s spirit is keenest in the morning; by noonday it has begun to flag; and i A clever general, therefore, avoids an army when its spirit is keen, but attacks it when Disciplined and calm, to await the appearance of disorder and hubbub amongst the enemy:-- To be near the goal while the enemy is still far from it, to wait at ease while the enemy To refrain from intercepting an enemy whose banners are in perfect order, to refrain from It is a military axiom not to advance uphill against the enemy, nor to oppose him when he Do not pursue an enemy who simulates flight; do not attack soldiers whose temper is keen. Do not swallow bait offered by the enemy. Do not interfere with an army that is returning When you surround an army, leave an outlet free. Do not press a desperate foe too hard.Such is the art of warfare.VIII. VARIATION IN TACTICSSun Tzu said: In war, the general receives his commands from the sovereign, collects his When in difficult country, do not encamp. In country where high roads intersect, join han There are roads which must not be followed, armies which must be not attacked, towns whic The general who thoroughly understands the advantages that accompany variation of tactics The general who does not understand these, may be well acquainted with the configuration So, the student of war who is unversed in the art of war of varying his plans, even thoug Hence in the wise leader’s plans, considerations of advantage and of disadvantage will b If our expectation of advantage be tempered in this way, we may succeed in accomplishing If, on the other hand, in the midst of difficulties we are always ready to seize an advan Reduce the hostile chiefs by inflicting damage on them; and make trouble for them, and ke The art of war teaches us to rely not on the likelihood of the enemy’s not coming, but o There are five dangerous faults which may affect a general:-1Recklessness, which leads to destruction;-2cowardice, which leads to capture;-3a hasty temper, which can be provoked by insults;-4a delicacy of honor which is sensitive to shame;-5over-solicitude for his men, which exposes him to worry and trouble.These are the five besetting sins of a general, ruinous to the conduct of war.When an army is overthrown and its leader slain, the cause will surely be found among the IX. THE ARMY ON THE MARCHSun Tzu said: We come now to the question of encamping the army, and observing signs of t Camp in high places, facing the sun. Do not climb heights in order to fight. So much for After crossing a river, you should get far away from it.When an invading force crosses a river in its onward march, do not advance to meet it in If you are anxious to fight, you should not go to meet the invader near a river which he Moor your craft higher up than the enemy, and facing the sun. Do not move up-stream to me In crossing salt-marshes, your sole concern should be to get over them quickly, without a If forced to fight in a salt-marsh, you should have water and grass near you, and get youIn dry, level country, take up an easily accessible position with rising ground toThese are the four useful branches of military knowledge which enabled the Yellow Emperor All armies prefer high ground to low and sunny places to dark.If you are careful of your men, and camp on hard ground, the army will be free from disea When you come to a hill or a bank, occupy the sunny side, with the slope on your right re When, in consequence of heavy rains up-country, a river which you wishto ford is swollen and flecked with foam, you must wait until it subsides.Country in which there are precipitous cliffs with torrents running between, deep natural While we keep away from such places, we should get the enemy to approach them; while we f If in the neighborhood of your camp there should be any hilly country, ponds surrounded b When the enemy is close at hand and remains quiet, he is relying on the natural strength When he keeps aloof and tries to provoke a battle, he is anxious for the other side to ad If his place of encampment is easy of access, he is tendering a bait.Movement amongst the trees of a forest shows that the enemy is advancing. The appearance The rising of birds in their flight is the sign of an ambuscade. Startled beasts indicate When there is dust rising in a high column, it is the sign of chariots advancing; when th Humble words and increased preparations are signs that the enemy is about to advance. Vio When the light chariots come out first and take up a position on the wings, it is a sign Peace proposals unaccompanied by a sworn covenant indicate a plot.When there is much running about and the soldiers fall into rank, it means that the criti When some are seen advancing and some retreating, it is a lure.When the soldiers stand leaning on their spears, they are faint from want of food.If those who are sent to draw water begin by drinking themselves, the army is suffering f If the enemy sees an advantage to be gained and makes no effort to secure it, the soldier If birds gather on any spot, it is unoccupied. Clamor by night betokens nervousness.If there is disturbance in the camp, the general’s authority is weak. If the banners and When an army feeds its horses with grain and kills its cattle for food, and when the men The sight of men whispering together in small knots or speaking in subdued tones points t Too frequent rewards signify that the enemy is at the end of his resources; too many puni To begin by bluster, but afterwards to take fright at the enemy’s numbers, shows a supre When envoys are sent with compliments in their mouths, it is a sign that the enemy wishes If the enemy’s troops march up angrily and remain facing ours for a long time without ei If our troops are no more in number than the enemy, that is amply sufficient; it only mea He who exercises no forethought but makes light of his opponents is sure to be captured b If soldiers are punished before they have grown attached to you, they will not prove subm Therefore soldiers must be treated in the first instance with humanity, but kept under co If in training soldiers commands are habitually enforced, the army will be well-disciplin If a general shows confidence in his men but always insists on his orders being obeyed, tX. TERRAINSun Tzu said: We may distinguish six kinds of terrain, to wit:-1Accessible ground;-2entangling ground;-3temporizing ground;-4narrow passes;-5precipitous heights;-6positions at a great distance from the enemy.Ground which can be freely traversed by both sides is called accessible.With regard to ground of this nature, be before the enemy in occupying the raised and sun Ground which can be abandoned but is hard to re-occupy is called entangling.From a position of this sort, if the enemy is unprepared, you may sallyforth and defeat him. But if the enemy is prepared for your coming, andyou fail to defeat him, then, return being impossible, disaster will ensue.When the position is such that neither side will gain by making the first move, it is cal In a position of this sort, even though the enemy should offer us an attractive bait, it With regard to narrow passes, if you can occupy them first, let them be strongly garrison Should the army forestall you in occupying a pass, do not go after him if the pass is ful With regard to precipitous heights, if you are beforehand with your adversary, you should If the enemy has occupied them before you, do not follow him, but retreat and try to enti If you are situated at a great distance from the enemy, and the strength of the two armie These six are the principles connected with Earth. The general who has attained a respons Now an army is exposed to six several calamities, not arising from natural causes, but fr -1Flight;-2insubordination;-3collapse;-4ruin;-5disorganization;-6rout.Other conditions being equal, if one force is hurled against another ten times its size, When the common soldiers are too strong and their officers too weak, the result is insubo When the higher officers are angry and insubordinate, and on meeting the enemy give battl When the general is weak and without authority; when his orders are not clear and distinc When a general, unable to estimate the enemy’s strength, allows an inferior force to eng These are six ways of courting defeat, which must be carefully noted by the general who h The natural formation of the country is the soldier’s best ally; but a power of estimati He who knows these things, and in fighting puts his knowledge into practice, will win his If fighting is sure to result in victory, then you must fight, even though the ruler forb The general who advances without coveting fame and retreats without fearing disgrace, who Regard your soldiers as your children, and they will follow you into the deepest valleys; If, however, you are indulgent, but unable to make your authority felt; kind-hearted, but If we know that our own men are in a condition to attack, but are unaware that the enemy If we know that the enemy is open to attack, but are unaware that our own men are not in If we know that the enemy is open to attack, and also know that our men are in a conditio Hence the experienced soldier, once in motion, is never bewildered; once he has broken ca Hence the saying: If you know the enemy and know yourself, your victory will not stand inXI. THE NINE SITUATIONSSun Tzu said: The art of war recognizes nine varieties of ground:-1Dispersive ground;-2facile ground;-3contentious ground;-4open ground;-5ground of intersecting highways;-6serious ground;-7difficult ground;-8hemmed-in ground;-9desperate ground.When a chieftain is fighting in his own territory, it is dispersive ground.When he has penetrated into hostile territory, but to no great distance, it is facile gro Ground the possession of which imports great advantage to either side, is contentious gro Ground on which each side has liberty of movement is open ground.Ground which forms the key to three contiguous states, so that he who occupies it first h When an army has penetrated into the heart of a hostile country, leaving a number of fort Mountain forests, rugged steeps, marshes and fens--all country that is hard to traverse: Ground which is reached through narrow gorges, and from which we can only retire by tortu Ground on which we can only be saved from destruction by fighting without delay, is despe On dispersive ground, therefore, fight not. On facile ground, halt not. On contentious gr On open ground, do not try to block the enemy’s way. On the ground of intersecting highw On serious ground, gather in plunder. In difficult ground, keep steadily on the march. On hemmed-in ground, resort to stratagem. On desperate ground, fight.Those who were called skillful leaders of old knew how to drive a wedge between the enemy When the enemy’s men were united, they managed to keep them in disorder.When it was to their advantage, they made a forward move; when otherwise, they stopped st If asked how to cope with a great host of the enemy in orderly array and on the point of Rapidity is the essence of war: take advantage of the enemy’s unreadiness, make your way The following are the principles to be observed by an invading force: The further you pen Make forays in fertile country in order to supply your army with food.Carefully study the well-being of your men, and do not overtax them. Concentrate your ene Throw your soldiers into positions whence there is no escape, and they will prefer death Soldiers when in desperate straits lose the sense of fear. If there is no place of refuge Thus, without waiting to be marshaled, the soldiers will be constantly on the qui vive; w Prohibit the taking of omens, and do away with superstitious doubts. Then, until death it If our soldiers are not overburdened with money, it is not because they have a distaste f On the day they are ordered out to battle, your soldiers may weep, those sitting up bedew The skillful tactician may be likened to the shuai-jan. Now the shuai-jan is a snake that Asked if an army can be made to imitate the shuai-jan, I should answer, Yes. For the men Hence it is not enough to put one’s trust in the tethering of horses, and the burying of The principle on which to manage an army is to set up one standard of courage which all m How to make the best of both strong and weak--that is a question involving the proper use。
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Estimation of safety distances in the vicinity of fuel gas pipelinesSpyros Sklavounos,Fotis Rigas*School of Chemical Engineering,National Technical University of Athens,15700Athens,GreeceReceived2November2004;received in revised form19April2005;accepted10May2005AbstractIn this paper,safety distances around pipelines transmitting liquefied petroleum gas and pressurized natural gas are determined considering the possible outcomes of an accidental event associated with fuel gas release from pressurized transmission systems.Possible outcomes of an accidental fuel gas release were determined by performing the Event Tree Analysis approach.Safety distances were computed for two pipeline transmission systems of pressurized natural gas and liquefied petroleum gas existing in Greece using real data given by Greek Refineries and the Greek Public Gas Enterprise.The software packages CHETAH and BREEZE were used for thermochemical mixture properties estimation and quantitative consequence assessment,respectively.Safety distance determination was performed considering jetfire and gas dispersion to the lowerflammable limit as the worst-case scenarios corresponding to immediate and delayed cloud ignition.The results showed that the jetfire scenario should be considered as the limiter for safety distances determination in the vicinity of natural and petroleum gas pipelines.Based on this conclusion,the obtained results were further treated to yield functional diagrams for prompt safety distance estimation.In addition,qualitative conclusions were made regarding the effect of atmospheric conditions on possible events.Thus,wind velocity was found to dominate during a jetfire event suppressing the thermal radiation effect,whereas gas dispersion was found to be affected mainly by solar radiation that favors the faster dissolution of fuel gas below the lowerflammable limit.q2005Elsevier Ltd.All rights reserved.Keywords:Safety distance;Event Tree Analysis;Consequence modeling;Jetfire;Gas dispersion;Pipeline safety1.IntroductionIn recent years,a great deal of effort has been dedicated not only to accident prevention,but also to the mitigation of accident consequences.In Directive96/61/EEC,article3.e, as a general mitigation principle,the necessary measures are indicated that must be taken to limit accident consequences, while in the Directive96/82/EEC(December2001 Amendment)the compliance with appropriate distances between establishments of dangerous substances and residential areas or areas of public use is imposed(article 12.1),in order to limit the effects of a potential accident on people and human property(EEC,1996a,b).Indeed,USA Federal Office of Pipeline Safety(OPS)is going to issue new regulations for gas pipeline integrity management in high consequence areas,which will identify the vulner-ability zones along the length of pipeline installations (DeWolf,2003).Petroleum gas(PG)was always of great importance, used in chemical processes or for domestic service,while natural gas(NG)use has increased rapidly replacing ordinary fuels and electricity not only for environmental but also for economical reasons.As a result,new storage units are constructed and larger amounts of petroleum and especially natural gas are stored and transported worldwide. In addition to sea transport,fuel gases are transmitted through pipeline systems,which is the point of interest of this work.Pipelines transporting fuel gases for commercial purposes have many times been involved in major accidents (IChemE,2000;Khan&Abbasi,1999).Indeed,pipe failure rates assessed from recent European data range from2.1! 10K4(for small diameters)to7.7!10K4(for large diameters)per km per year,being much greater than the standard acceptable failure probability of10K6(Taylor, 1994).It is worth mentioning that a recent work of Yuhua and Datao(2005)based on Fault Tree AnalysisconcludesJournal of Loss Prevention in the Process Industries19(2006)24–31/locate/jlp0950-4230/$-see front matter q2005Elsevier Ltd.All rights reserved.doi:10.1016/j.jlp.2005.05.002*Corresponding author.Address:School of Chemical Engineering,National Technical University of Athens,15780Athens,Greece.Tel.:C302107723267;fax:C302107723163.E-mail address:rigasf@central.ntua.gr(F.Rigas).that an approximate failure probability of a transmission pipeline is6.25!10K2.Safety distances estimated in this work are based on real data given by Greek Refineries and the Greek Public Gas Enterprise concerning two pipeline systems transmitting liquefied petroleum and natural gas,respectively.In order to indicate the plausible accident outcomes of an accidental gas release,the Event Tree Analysis method(CCPS,1992) was applied.Eventually,jetfire event and gas dispersion to the lowerflammable limit were considered purposeful for further examination.Aiming at the investigation of atmospheric conditions effect on probable outcomes,weather conditions were also taken into account in the computations considering the Pasquill–Gifford stability categories(CCPS,1995c).Since pipe diameter and internal pressure are the major factors that determine the magnitude of a potential release(Bartenev, Gelfand,Makhviladge,&Roberts,1996),these parameters were assumed as independent variables in the construction of diagrams suitable for providing direct safety distance putational results for the thermal radiation resulting from a jetfire,as well as for the Lower Flammable Limit(LFL)distance resulting from gas dispersion,would clarify the role of atmospheric conditions(wind speed and solar radiation)in the accident evolution.2.Historical survey of petroleum and natural gas pipeline accidentsSevere accidents associated with NG and PG trans-mission systems have occurred in the past.The main causes initiating a pipeline accidental event may be classified in five categories(Papadakis,1999):†External interference or third party activity†Corrosion†Construction defect and mechanical or material failure †Ground movement or generally natural hazards†Other or unknown causesIt is worth to mention that recent statistical data(OPS, 2005)reveal that during the last20years,natural pipeline accident rates still remain in the same level,in spite of increased safety measures and advanced safety systems applied in practice.Typical examples of such accidents with catastrophic effects on people and property are quoted below: 2.1.NG pipeline explosion andfireOn March241994,at New Jersey,USA,an explosion of an underground natural gas pipeline was followed by a crater of approximately50m diameter and massiveflames which could be seen more than80km away.The accident resulted in1death and50injuries.Subsequent investi-gations revealed that the pipeline had been damaged by excavation works.Probably,a mechanically induced crack grew to size as a result of enhanced fatigue leading to material failure.2.2.NG pipeline explosionOn September281993,at Las Tejerias,Venezuela,an explosion of a natural gas pipeline occurred underneath a highway.The line ruptured while a state telephone company was installingfiber optic cables.The result was40injured people and50dead.2.3.PG pipeline explosionOne of the most severe chemical accidents that ever happened took place on June41989,at Siberia,Russia.A PG pipeline was commissioned in1985to carry mixed PG (propane,butane,pentane,methane and ethane)to feed an industrial city.Subsequently,it was reported that there had been a leakage for several days and that a heavy smell of gas had been reported a few hours before the explosions and fire.Instead of investigating the complaints,the responsible engineers had responded by increasing the pumping rate in order to maintain the required pressure in the pipeline.The leakage point was found about1/2mile away from the side of a railway.The smell of escaping gas was reported from valley habitants in the area and it is also stated that the escaping liquefied gas formed large pockets in low lying areas along the railway line.The gas cloud is reported to have drifted a distance of5miles away.Some hours later, two passenger trains traveling in opposite directions, approached the area.The imminent turbulence due to their motion mixed up PG mist and vapor with the overlying air to form aflammable cloud mixture.One train sparked off the cloud causing an initial explosion.Two explosions took place in quick succession followed by a wall offire that was about1mile wide.A considerable part of each train was derailed,while trees wereflattened and windows were broken within a radius of2.5and8miles,respectively. Totally462people died and706were injured.3.Methodology3.1.Event Tree AnalysisEvent Tree Analysis(ETA)used in this work is a formal technique and one of the standard approaches when performing industrial incidents investigation as well as pipeline risk assessment(Muhlbauer,1996).ETA is a logic sequence that graphically portrays the combination of events and circumstances in an accident sequence.It is an inductive method,which begins with an initiating undesir-able event and works towards afinal result(outcome);each branch of the Event Tree represents a separate accidentS.Sklavounos,F.Rigas/Journal of Loss Prevention in the Process Industries19(2006)24–3125sequence (CCPS,1992).The general procedure for ETA includes the following steps:1.Determination of the initiating events that can result in certain types of accidents.2.Identification of the critical factors that may affect the initiating event evolution.3.Construction of the Event Tree taking into account the interaction between critical factors and the initiating event.4.Designation and evaluation of resulting accidental events.Generally,the ETA is very useful for providing scenarios on possible failure modes,while the final outcomes can be ranked on the basis of their severity by the use of consequence models.3.2.Worst case scenariosLarge amounts of flammable gases released in the open-air pose a significant hazard for the surroundings,due to their ability to yield disastrous fires and explosions.In this work,in which natural and liquefied petroleum gas pipelines were the point of interest,the purpose of safety distance estimation was achieved following the simplified method of Fig.1.The relevant Event Tree (Fig.2)was constructed to indicate all possible outcomes of an accidental fuel gas release (CCPS,1995a )on the basis of the main critical factors that affect substantially the accident evolution:the time of ignition of the resulting cloud and the degree of confinement provided by the surroundings.The former is related to the mixing of escaping fuel gas with the air.When immediate ignition occurs,gas cloud mixing with atmospheric oxygen is still limited;thus,the ignition takes place on the outer layer,which is between the flammable limits,whereas the inner core of the cloud istooFig.1.Logic diagram for safety distancedetermination.Fig.2.Event Tree Analysis adapted to accidental fuel gas release.S.Sklavounos,F.Rigas /Journal of Loss Prevention in the Process Industries 19(2006)24–3126rich in fuel to ignite.As buoyancy forces of the hot gases begin to dominate,the burning cloud rises and becomes more spherical in shape forming a ball intoflames.That elevation causes gradually further mixing of the gas with oxygen,which brings new volumes of gas intoflammable limits sustaining thefire.Fireballs of this kind have been recorded to travel hundreds of meters until fully burned.On the contrary,when delayed ignition occurs,the fuel cloud can be adequately mixed with air,so that after ignition it flashes back.It differs fromfireball since it proceeds faster and can burn from inner to outerflammable layers provided that a proper ignition source is found there.If sufficiently mixed with air,fast burning occurs initially with a medium increase of pressure.This subsonic burning is known as deflagration and is possible when the fuel–air mixture is withinflammability limits,yet far from stoichiometry.If considerable confinement exists and in addition the oxygen content within the cloud is around the Zero Oxygen Balance(stoichiometric fuel–air mixture),the flame propagation speed increases rapidly producing a blast wave(Phillips,1994).In this case,theflame front propagates at a supersonic velocity and a strong shock wave develops in the cloud,which is characterized by an abrupt high overpressure front.The general term for explosions in which a shockwave develops is called detonation.Especially for gaseous mixtures exploding in confined spaces the term Confined Vapor Cloud Explosion (CVCE)is used,in which either a detonation or a deflagration takes place.In a very poor or very rich fuel mixture,but one that is still withinflammable limits,the flame front travels the cloud in low velocity and insignificant pressure increase,a phenomenon known asflashfire.Consequently,buildings inside the LFL radius could be severely damaged due to the potential of a confined vapor cloud explosion.Moreover,if the escaping gas is not trapped and immediate ignition occurs,then a long-lasting jetfire would pose the most significant hazard,due to the high thermal radiation levels(Jo&Ahn,2002).These two outcomes were considered as the dominant hazards for a pipeline fuel gas release event and reckoned as requiring further investigation.putational toolsHydrocarbons are practically non-toxic;even for chronic occupational exposure,systemic effects have not been reported(Hathaway,Proctor,&Hughes,1996).Therefore, in the subsequent investigation the gas concentration prediction during cloud dispersion is limited in gas concentration above the Lower Flammable Limit(LFL). The distance from the point of incident at which concentration value drops below the LFL(LFL distance) is a limiting distance,beyond whichfire or explosion hazard is eliminated.Consequently,a model is needed for predicting gas dispersion,in combination with a model suitable for performing source-term analysis.Furthermore, a quantitative model for calculating thermal radiation effect of jetfire is required.Petroleum and natural gas are not particular compounds but mixtures constituted from several chemical molecules. On the other hand,consequence modeling computations demand the knowledge of some thermochemical properties of the mixtures.For this purpose,another computer program capable of calculating gas mixtures properties was utilized. Each one of the above models is described below.4.1.CHETAH programCHETAH is a computing tool developed by ASTM for predicting both thermochemical properties and certain reactive substance hazards associated with a pure chemical, a mixture of chemicals,or a chemical reaction.This is accomplished through the knowledge of just the molecular structures of the components and mixture composition. CHETAH is useful for classifying materials for their ability to decompose with violence,estimating heats of combustion (used infire models),calculating LFLs(used in dispersion models)and providing hazard potential classification (CCPS,1995b;Shanley&Melhem,1995).4.2.EXPERT modelDispersion models require data related to the source of the release.Such data are the temperature and density at the orifice area and the release rate with which a gas or aerosol escapes into the atmosphere.The EXPERT model calculates these source-term parameters based on user-specified chemical property data of the escaping substance,type of storage equipment,storage conditions and opening size (Grosch&Miller,1998).4.3.SLAB and AFTOX modelSLAB computer model simulates the dispersion of denser-than-air releases.Therefore,it was used for LFL distance calculation resulting from an LPG release,in addition to high pressure(50bar)natural gas release,in which gas density was calculated to be significantly higher (1.75kg/m3)than that of air(1.19kg/m3).It is a slab model with properties averaged in the horizontal and vertical directions thus being a one-dimensional model.The model is based on a set of six differential equations,for the conservation of total mass,material released mass, momentum and energy(Lees,1996).It does not take into account the presence of obstacles in theflowfield assuming a non-sloping unobstructed terrain.AFTOX model is a Gaussian puff model for uniform terrain and wind conditions.It has been designed to simulate lighter-than-air releases and it assumes a non-sloping unobstructed dispersion terrain,while it was usedS.Sklavounos,F.Rigas/Journal of Loss Prevention in the Process Industries19(2006)24–3127for the LFL distance estimation resulting from intermedi-ate(19bar)and low(4bar)natural gas release.4.4.JET FLAME modelThe JET FLAME radiation model predicts the radiation flux of gaseous jetflames resulting from pressurized pipeline accidents,in which the escapingflammable gas is ignited.Thus,it calculates the distance in which a particular thermal radiation intensity value is developed.The model assumes that theflame shape is cylindrical,while it takes into account the internal pipe conditions(pressure and temperature),in addition to atmospheric conditions(CCPS,1995c).EXPERT,JET FLAME,SLAB and AFTOX models are included in BREEZE HAZARD software package,which has been effectively put in practice in previous consequence analysis procedures(Rigas&Sklavounos,2002),while SLAB and AFTOX have been approved by US EPA’s Risk management program for Offsite Consequence Analysis Guidance.However,all of them are based on simplified assumptions that strongly affect the results.Thus,SLAB model computes mass,momentum and energy balances only in one direction(downwind)and assumesflat terrain with no obstructions or slope.Likewise,JET FLAME model does not take into account obstacles intervening between flames and target that actually decrease the thermal radiation impact.Consequently,the results presented hereinafter should be considered conservative.5.Material properties computationEstimations of thermochemical properties of a gas mixture like heat of combustion and physical quantities such as the lowerflammable limit provide useful input data for the operation of consequence models.The above requirements were obtained by using the CHETAH program described previously.In Table1,typical compositions of petroleum and natural gas are given.Since the ratio of secondary components in NG mixture is very low(approximately2%),NG physical properties may be identified with the properties of methane. In contrast,PG mixture consists of more than one component in considerable concentrations(propane and butane)that cannot be merged.Providing the appropriate data of the mixture molar composition,CHETAH code calculated PG combustion heat and lowerflammable limit as shown in Table2.6.Safety distance estimations6.1.Input variablesNominal and operating conditions,as well as the sizes of LPG and NG pipelines studied in this work are shown in Table3.The primary goal of hazard zones determination and hence safety distances assessment is accomplished using consequence analysis models for the worst case scenarios mentioned in Section3.2.Regarding the input data introduced in these models,it is of vital importance to highlight the following:†The wind and particularly its turbulent nature plus solar radiation are significant factors in gas dispersion.The vigorous whirling molecular motion dominating in the atmospheric environment results in gas agitation that may bring faster the cloud into theflammable range (Deaves,1992).Moreover,the shape and size of the jet fire(and hence the thermal radiation emitted)is strongly affected by the wind speed(Arnaldos,Casal,Montiel, Sanchez-Carricondo,&Vilchez,1998).Therefore, atmospheric conditions were taken into account in the computations in the form of the so-called Pasquill–Gifford stability categories.Three discernible classes were reckoned to be significant:A—unstable conditionsTable1Typical composition of natural and petroleum gasGas mixture Components Content(%v.v.)NG(Russian natural gas)Methane98 Ethane0.6 Propane0.2 Butane0.2 Pentane and heavier hydrocarbons0.1 Nitrogen0.8 Carbon dioxide0.1LPG(refinery product)Ethane0.8Propane20.1Butane78.6Pentane and heavierhydrocarbons0.5Table2Petroleum gas combustion heat and LFL calculated with CHETAH codeLPG property Calculated value Input dataCombustion heat45826kJ/kg JET FLAME(jetfiremodel)Lowerflammablelimit1.78%v/v SLAB and AFTOX(dispersion models)Table3Data on operating conditions and internal diameters of LPG and NGpipelinesFuelgasPipeline system Pressure(bar)Diameter(cm)Nominal OperatingNG Internationaltransportation705025–91Interstate transportation191924Regional distribution449–16LPG Regional distribution312436 S.Sklavounos,F.Rigas/Journal of Loss Prevention in the Process Industries19(2006)24–3128attributed to strong solar radiation and low wind speed;D—neutral conditions identified with moderate to strong winds with significant cloud cover and hence low solar radiation;F—stable conditions,corresponding to rela-tively light winds and nights of clear sky (no solar radiation).†For the purpose of safety distance determination concerning the jet fire scenario,maximal permissible levels for thermal radiation intensity must be set.Among relative data (CCPS,1994;Green Book,1989)the more conservative values were adopted (Table 4).With reference to cloud dispersion scenario,the LFL distance was determined.6.2.Results and discussionThe burning of a flammable gas issuing from a pipe or other orifice at the point of exit forms a jet fire.In fact,release sizes range from small leaks to the full loss of contents giving a wide range of gas release rates,which go up to some hundred of kilogram/second with regard to high pressure pipelines (Olorunmaiye &Imide,1993).Initially,release magnitudes were studied for the range of small cracks to full-bore pipe rupture.Typical example demon-strating safety distance change with crack size in different weather conditions (A,F,and D)for the high pressure (50bar)NG pipeline is presented in Fig.3.It is obvious that thermal radiation impact is mainly affected by the wind speed:the lower the wind speed,the greater the radius ofrisk.The conclusion still remains the same for the LPG pipeline (Fig.4),namely the safety distance is maximized for the air stability category A.In contrast,LFL distance is most affected by solar radiation (Fig.5).In particular,the lower the solar radiation,the greater the LFL distance.This conclusion may be qualitatively drawn from Fig.6,in which safety distance has been plotted against wind speed and pipe diameter.It is evident that safety distance is maximized for intermediate wind speed,namely for atmospheric stability category F that corresponds to complete absence of solar radiation.In Fig.7a and b,where jet fire and dispersion scenarios are compared with regard to the resulting safety distances,it is clear that jet fire scenario entails higher safety distances than that of dispersion scenario.Indeed,safety distances are higher when related to human effect rather than to property damage.The latter was expected,since the threshold value for human injury is lower than that of property damage (Table 4).As a result,the jet fire scenario should be considered as the limiter for safety distance determination.The utilization of the results obtained through the jet fire safety distance calculation (considering atmospheric stab-ility category A,full-bore rupture and the pipe diameters and pressures shown in Table 3)yielded the diagramsTable 4Thermal radiation threshold limit values for acceptable damage on people and property Damaged entity Thermal radiation critical value (kW/m 2)Exposure duration Foreseen effectProperty4Not too short(R 30min)Rupture of glassPeople 1.560s1%probability of 1st degreeburnsFig.3.Safety distance for the 0.91m and 50bar NG pipeline related to the jet fire scenario and atmospheric stability categories A,F and D,calculated for small releases to full-borerupture.Fig.4.Safety distance for the LPG pipeline related to the jet fire scenario and atmospheric stability categories A,F and D,calculated for small releases to full-borerupture.Fig.5.Safety distance for the 0.91m and 50bar NG pipeline related to the cloud dispersion scenario and atmospheric stability categories A,F and D,calculated for small releases to full-bore rupture.S.Sklavounos,F.Rigas /Journal of Loss Prevention in the Process Industries 19(2006)24–3129illustrated in Figs.8and 9.Thus,from these Figures,safety distance may be directly determined,when internal pipe pressure and diameter are known.As one can see,safety distance increases when the internal diameter or the operating pressure of the pipeline increases.Nevertheless,safety distance seems to be more sensitive with pipe size rather than operating pressure.As an example,let us consider an internal pipe diameter equal to 60cm (Fig.8).Then for the operating pressure range from 20to 70bar,the safety distance varies between 450and 750m,namely a range of 300m.In contrast,considering a pressure value equal to 50bar,the safety distance variesbetween 325and 925m when the diameter changes from 25to 91cm,namely a range of 600m.This conclusion is to be found in agreement with that of Jo and Ahn (2002).7.ConclusionsFlammable gas transmission pipelines pose major risk for the surroundings,due to the probability of rupture and release of the content to the atmosphere with the potential of a fire or/and explosion.In this work,a methodology for estimating safety distances in the vicinity of petroleum and natural gas pipelines is proposed,with the perspective to find application in emergency response planning.In summary,the following remarks may bereferred:Fig.6.Safety distance plot against wind speed and pipe diameter for the 0.91m and 50bar NG pipeline according to cloud dispersion scenario for full-bore piperupture.Fig.7.Safety distance for both jet fire and dispersion scenarios assuming full-bore rupture of 50bar (a)and 4bar (b)NG pipelines.The stability categories adopted were:A for the thermal radiation safety distance and F for the LFLdistance.Fig.8.Safety distance isopleths (m)against operating pressure and pipe diameter for the 50bar pipeline,assuming atmospheric stability category A,1.5kW/m 2thermal radiation intensity and full-bore piperupture.Fig.9.Safety distance isopleths (m)against operating pressure and pipe diameter for the 4bar pipeline,assuming atmospheric stability category A,1.5kW/m 2thermal radiation intensity and full-bore pipe rupture.S.Sklavounos,F.Rigas /Journal of Loss Prevention in the Process Industries 19(2006)24–3130†The jetfire scenario should be considered as the limiter for safety distances determination in the vicinity of natural and petroleum gas pipelines.†Safety distances are more sensitive to pipeline size than operating pressure.†The thermal effect of a jetfire event,as well as the distance that fuel gas travels from source to its lower flammable limit position,strongly depends on atmos-pheric conditions.Indeed,different weather conditions favor each type of accident:the impact radius thermal radiation is mainly affected by wind speed and increases when wind speed decreases,whereas gas dispersion in mainly affected by solar radiation and LFL distance increases when solar radiation decreases.†Safety distances in the vicinity of fuel gas pipelines may be plotted in diagrams against independent variables.These diagrams could be 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