单纯形模拟退火算法反演地下水污染源强度  

Groundwater Contaminant Identification by Hybrid Simplex Method of Simulated Annealing

作　　者：江思珉[1] 张亚力[1] 蔡奕[1] 郑茂辉[2] 

机构地区：[1]同济大学土木工程学院,上海200092 [2]同济大学上海防灾救灾研究所,上海200092

出　　处：《同济大学学报（自然科学版）》2013年第2期253-257,共5页Journal of Tongji University:Natural Science

基　　金：国家自然科学青年基金(41002078)

摘　　要：基于单纯形模拟退火混合算法(SMSA混合算法),结合污染物迁移问题的解析解反演地下水污染源的强度变化历时曲线.SMSA混合算法结合了单纯形法的确定性搜索和模拟退火算法的全局概率搜索机制,是一种高效的混合优化算法;同时采用Yeh提出的解析解,它具有可靠性强、易于编程实现和扩展性强的特点.计算结果显示,1维、2维、3维情形下点污染源的反演浓度均较好地再现了真实的污染物释放过程,这表明基于SMSA混合算法和Yeh解析解的反演方法是一种有效的地下水污染源重建方法.A hybrid simplex-simulated annealing method is adopted and incorporated with the analytical solutions of the contaminant transport equation to recover the history of groundwater contaminant. The hybrid simplex method of simulated annealing（SMSA） algorithm, which incorporates the deterministic search pattern of simplex method and the global probabilistic search mechanism of simulated annealing algorithm, proves to be a robust hybrid optimization algorithm. Meanwhile, the analytical solution to contaminant transport equation proposed by Yeh is adopted, for it is easy to programme, reliable and scalable. As shown by the calculation results, the recovered release history obtained by hybrid SMSA method and Yeh＇s analytical solution well reproduces the real process of contaminant release. It is further concluded that hybrid SMSA method and its incorporation with Yeh＇s analytical solutions can be widely used in reconstructing the release history of groundwater contaminant.

关 键 词：污染源反演 地下水逆问题 单纯形法 模拟退火算法 

分 类 号：P641.2[天文地球—地质矿产勘探] P641.8[天文地球—地质学]