一个扰动土柱试验模型及参数反演的数值模拟  

A mathematical model for a disturbed soil-column experiment and numerical simulations for parameters inversion

作　　者：魏镇[1,2] 李功胜[1] 池光胜[1] 

机构地区：[1]山东理工大学应用数学研究所,山东淄博255049 [2]山东理工大学交通与车辆工程学院,山东淄博255049

出　　处：《山东理工大学学报（自然科学版）》2009年第2期1-6,共6页Journal of Shandong University of Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(10471080);山东省自然科学基金资助项目(Y2007A29)

摘　　要：采用细砂(粒径约2mm)均匀填充土柱,用配置的与煤系矿坑水成份相似的淋滤液进行扰动土柱试验.通过对试验过程及穿透数据的分析,建立了一个描述淋滤液中各离子迁移行为的数学模型,并应用一种最佳摄动量迭代算法对未知的模型参数进行了数值反演模拟.结果表明,所用算法对于文中扰动土柱试验模型的参数反演是有效的.By filling fine sands with diameter of 2mm into a column uniformly, and infiltrating with artificial coal-mine water from the top of the column, the disturbed soil-column experiment was carried out and 23 water samples were collected at the bottom of the column. Based on the analysis of the experimental processes and the measured breakthrough data, a mathematical model describing transport behaviors of the solute ions in the column was established. Furthermore, numerical simulations for the unknown parameters inversion were carried out by applying an optimal perturbation iteration algorithm. These results show that the optimal perurbation iteration algorthm is efficient to the parameters inversion for the disturbed soil-column experiment .

关 键 词：扰动土柱试验 数学模型 参数反演 最佳摄动量迭代算法 数值模拟 

分 类 号：X523[环境科学与工程—环境工程] P641[天文地球—地质矿产勘探]