Application of Bayesian network and non-additivity principle in analyzing dam break risk

Yu Chen
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Abstract

The dam break risk analysis, especially for that under the composite action of multiple risk sources, is highly important for implementing dam safety management. To study the complex system problem, this research taken dams in the Dadu river basin as the study case, and combined Bayesian network (BN) and the non-additivity principle to analyze the dam break risk under prominent dam break causes of flood and earthquake. During the research process, literature analysis, historical data, and expert knowledge have been taken firstly to identify the related factors affecting the dam break risk. Furthermore, determine variable nodes of the dam break risk, build a Bayesian network directed acyclic topology model about the dam break risk according to the causal relationship between risk factors, and construct the prior probabilities and conditional probabilities of corresponding nodes. Finally, calculate the risk probabilities under the condition of the same input variables and different variables by using based on Bayesian network reasoning. The results illustrate that the usage of BN in analyzing non-additivity is applicable, and non-additive effects exist when multiple risk factors impact a dam break simultaneously.
贝叶斯网络和非加性原理在溃坝风险分析中的应用
溃坝风险分析,特别是多风险源复合作用下的溃坝风险分析,对实施大坝安全管理具有重要意义。为研究复杂系统问题,以大渡河流域大坝为研究对象,结合贝叶斯网络(BN)和非加性原理,分析了洪水和地震等突出溃坝原因下的溃坝风险。在研究过程中,首先采用文献分析、历史资料和专家知识来确定影响溃坝风险的相关因素。进而确定溃坝风险的变量节点,根据风险因素之间的因果关系,建立溃坝风险的贝叶斯网络有向无环拓扑模型,构造相应节点的先验概率和条件概率。最后,利用基于贝叶斯网络推理的方法,计算相同输入变量和不同输入变量条件下的风险概率。结果表明,利用BN分析非加性是可行的,当多个危险因素同时影响溃坝时,存在非加性效应。
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