基于故障树分析的堰塞湖溃坝概率估计方法

doi:10.12005/orms.2017.0172

摘要/Abstract

摘要： 堰塞湖排险的一个关键问题是如何针对实施不同应对措施情况下的堰塞湖溃坝概率进行估计,这是一个值得关注的重要研究课题。本文提出了一种基于故障树分析(FTA)的堰塞湖溃坝概率估计方法。首先,通过堰塞湖排险问题的实际背景分析,基于FTA构建了堰塞湖溃坝故障树的基本架构;然后,通过相关领域知识、历史案例分析、专家主观判断和多位专家主观判断信息的融合,可以确定实施某一应对措施情形下故障树中各基本事件在不同时段内发生的概率;进一步地,依据构建的故障树和基本事件发生的概率,给出了在不同时段内堰塞湖溃坝事件发生的概率的估计方法。最后,通过一个实例分析说明了本文所提出方法的可行性与有效性。

关键词: 堰塞湖排险, 溃坝概率估计, 故障树分析(FTA)

Abstract: A key problem with eliminating the damage of barrier lake is how to estimate the failure probability of barrier lake dam given that different response actions are carried out. It is an important research topic that deserves more attention. This paper proposes a method based on Fault Tree Analysis(FTA)for estimating the failure probability of barrier lake dam. First, by analyzing the practical backgrounds of eliminating the damages of barrier lakes, the basic framework of the fault tree for failures of barrier lake dams is constructed based on FTA. Then, according to the knowledge of related academic fields, the analysis of historical cases, the subjective judgments of experts and the fusion of the subjective judgments of multiple experts, and the probabilities of each basic event in the fault tree can be estimated with respect to different time periods and different response actions. Furthermore, according to the constructed fault tree and the probabilities of basic events, an approach is proposed for estimating the failure probabilities of the barrier lake dam in different time periods. Finally, a case study is given to illustrate the feasibility and validity of the proposed method.

Key words: eliminating the damage of barrier lake, estimating the failure probability of dam, fault tree analysis(FTA)

中图分类号:

C931.1

刘洋, 樊治平, 尤天慧, 王晓荣. 基于故障树分析的堰塞湖溃坝概率估计方法[J]. 运筹与管理, 2017, 26(7): 138-146.

LIU Yang, FAN Zhi-ping, YOU Tian-hui, WANG Xiao-rong. A FTA-Based Method for Estimating the FailureProbability of Barrier Lake Dam[J]. Operations Research and Management Science, 2017, 26(7): 138-146.

参考文献

[1] Korup O, Strom A L, Weidinger J T. Fluvial response to large rock-slope failures: examples from the Himalayas, the tien shan, and the southern alps in new zealand[J]. Geomorphology, 2006, 78(1-2): 3-21.
[2] 石振明,李建可,鹿存亮,王友权,许强.堰塞湖坝体稳定性研究现状及展望[J].工程地质学报,2010,18(5):657-663.
[3] Costa J E, Schuster R L. The formation and failure of natural dams[J]. Geological Society of America Bulletin, 1988, 100(7): 1054-1068.
[4] 聂高众,高建国,邓砚.地震诱发的堰塞湖初步研究[J].第四纪研究, 2004, 24(3): 293-301.
[5] Sherali H D, Desai E, Glickman T S. Optimal allocation of risk-reduction resources in event trees[J]. Management Science, 2008, 54(7): 1313-1321.
[6] Sherali H D, Dalkiran E, Glickman T S. Selecting optimal alternatives and risk reduction strategies in decision trees[J]. Operations Research, 2011, 59(3): 631-647.
[7] Tamura H, Yamamoto K, Tomiyama S, Hatono I. Modeling and analysis of decision making problem for mitigating natural disaster risks[J]. European Journal of Operational Research, 2000, 122(2): 461-468.
[8] Hamalainen R P, Lindstedt M R K, Sinkko K. Multiattribute risk analysis in nuclear emergency management[J]. Risk Analysis, 2000, 20(4): 455-467.
[9] Liu Y, Fan Z P, Zhang Y. Risk decision analysis in emergency response: a method based on cumulative prospect theory[J]. Computers & Operations Research, 2014, 42(2): 75-82.
[10] 刘洋,樊治平,袁媛.突发事件应急响应的多属性风险决策方法研究[J].运筹与管理,2013,22(1):23-28.
[11] 刘宁.堰塞湖应急处置实践与认识[J].水科学进展,2010,21(4):541-549.
[12] 赵映东.堰塞湖排险过程中的水文计算探讨[J].水文,2009,29(2):62-63.
[13] 牛志攀,许唯临,张建民,李进,岳超.堰塞湖冲刷及溃决试验研究[J].四川大学学报(工程科学版),2009,41(3):90-95.
[14] 石振明,王友权,彭铭,许强.余震作用下堰塞坝体破坏及溃决过程大型振动台试验研究[J].工程地质学报,2014,22(1):71-77.
[15] 邓宏艳,孔纪名,王成华.不同成因类型堰塞湖的应急处置措施比较[J].山地学报,2011,29(4):505-510.
[16] 陈风光,姚海林,史卫国.模糊综合评价法在堰塞湖风险评估中的应用[J].上海交通大学学报,2011,45(Sup):67-70.
[17] 王绍玉,黄星.基于直觉模糊距离法的堰塞湖减灾方案选优[J].灾害学,2012,27(4):51-54.
[18] 方志耕,杨保华,陆志鹏,刘思峰,陈晔,陈伟,姚国章.基于Bayes推理的灾害演化GERT网络模型研究[J].中国管理科学,2009,17(4):102-107.
[19] 裘江南,刘丽丽,董磊磊.基于贝叶斯网络的突发事件链建模方法与应用[J].系统工程学报,2012,27(6):739-750.
[20] 王颜新,李向阳,徐磊.突发事件情境重构中的模糊规则推理方法[J].系统工程理论与实践,2012,32(5):954-962.
[21] 刘德海,王维国,孙康.基于演化博弈的重大突发公共卫生事件情景预测模型与防控措施[J].系统工程理论与实践,2012,32(5):937-946.
[22] 于超,刘洋,樊治平.突发事件情景概率估计的主客观信息集成方法[J].电子科技大学学报(社会科学版),2012,14(3):54-59.
[23] 仲秋雁,郭艳敏,王宁,薛慧芳,崔丽,王延章.基于知识元的非常规突发事件情景模型研究[J].情报科学,2012,30(1):115-120.
[24] Buzna L, Peters K, Helbing D. Modelling the dynamics of disaster spreading in networks[J]. Physica A: Statistical Mechanics and its Applications, 2006, 363(1): 132-140.
[25] Liu Y, Fan Z P, Yuan Y, Li H Y. A FTA-based method for risk decision-making in emergency response[J]. Computers & Operations Research, 2014, 42(2): 49-57.
[26] Feller W. An introduction to probability theory and its applications[M]. New York: Wiley, 1971.
[27] Lee W S, Grosh D L, Tillman F A, Lie C H. Fault tree analysis, methods, and applications: a review[J]. IEEE Transactions on Reliability, 1985, 34(3): 194-203.
[28] Kim C E, Ju Y J, Gens M. Multilevel fault tree analysis using fuzzy numbers[J]. Computers & Operations Research, 1996, 23(7): 695-703.
[29] Liu D X, Amari S V. Fault tree analysis. in: misra KB(Eds.). handbook of performability engineering[M]. Springer-Verlag London limited, 2008.
[30] Bertsche B. Reliability in automotive and mechanical engineering[M]. Springer-Verlag Berlin Heidelberg, 2008.
[31] Khan F I, Abbasi S A. Analytical simulation and PROFAT II: a new methodology and a computer automated tool for fault tree analysis in chemical process industries[J]. Journal of Hazardous Materials 2000, 75(1): 1-27.
[32] Cheng S R, Lin B S, Hsu B M, Shu M H. Fault-tree analysis for liquefied natural gas terminal emergency shutdown system[J]. Expert Systems with Application, 2009, 36(9): 11918-11924.
[33] 陈志诚,齐欢,魏军,冯亮.基于可靠性框图的可靠性建模研究[J].工程设计学报,2011,18(6):407-411.
[34] 程五一,李季.系统可靠性理论及其应用[M].北京:北京航空航天大学出版社,2012.
[35] Nowak M. Aspiration level approach in stochastic MCDM problems[J]. European Journal of Operational Research, 2007, 177(3): 1626-1640.
[36] Linstone H, Turloff M. The delphi method: techniques and applications[M]. London: Addison-Wesley, 1975.
[37] 孙红梅,高齐圣,朴营国.关于故障树分析中几种典型重要度的研究[J].电子产品可靠性与环境试验,2007,25(2):39-42.
[38] 李青,陆廷金.模糊重要度分析方法的研究[J].模糊系统与数学,2000,14(1):89-93.