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确定地下水污染强度的反问题方法
引用本文:李功胜,谭永基,王孝勤. 确定地下水污染强度的反问题方法[J]. 应用数学, 2005, 18(1): 92-98
作者姓名:李功胜  谭永基  王孝勤
作者单位:1. 山东理工大学数学学院应用数学所,山东,淄博,255049
2. 复旦大学数学研究所,上海,200433
3. 淄博市水资源管理办公室,山东,淄博,255032
基金项目:山东省自然科学基金(Y200lE03)
摘    要:探讨了山东省淄博市张店区沣水南部区域地下水的硫酸污染问题 .根据观测井点的浓度数据 ,将硫酸污染强度的识别问题作为一个已知终值数据的源项反问题 .应用积分恒等式方法分析了未知源函数与已知数据间的数据相容性 ,进而基于最优化策略进行了数据反演 ,计算结果与实际估计值基本吻合

关 键 词:地下水污染  源项反问题  对流弥散方程  数据相容性  数值计算
文章编号:1001-9847(2005)01-0092-07
修稿时间:2004-02-19

Inverse Problem Method on Determining Magnitude of Groundwater Pollution Sources
LI Gong sheng ,TAN Yong ji ,WANG Xiao qin. Inverse Problem Method on Determining Magnitude of Groundwater Pollution Sources[J]. Mathematica Applicata, 2005, 18(1): 92-98
Authors:LI Gong sheng   TAN Yong ji   WANG Xiao qin
Affiliation:LI Gong sheng 1,TAN Yong ji 2,WANG Xiao qin 3
Abstract:In this paper,a problem of determining magnitude of vitriol pollution in groundwater in Fengshui,Zibo,Shandong is concerned as an inverse source problem according to some additional measured data of concentration.Compatibilities between the known data and the unknown source function are analyzed by applying integral identity method,and then an admissible set of the unknown source terms is obtained,which gives a definite range for the unknown.Furthermore,numerical computation based on an optimal approach is performed,and the results basically coincide with the actually estimated data.
Keywords:Groundwater pollution  Inverse problem of determination of source term  Data compatibility  Advection dispersion equation  Numerical computation
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