Cauchy data requirement of the inverse problem of the mean age equation

被引:3
|
作者
Nassar, Mohamed K. [1 ,2 ]
Ginn, Timothy R. [1 ]
机构
[1] Univ Calif Davis, Dept Civil & Environm Engn, Davis, CA 95616 USA
[2] Univ Sadat City, Environm Studies & Res Inst, Sadat, Minufiya, Egypt
基金
美国国家科学基金会;
关键词
inverse; Cauchy; groundwater flow; groundwater age; GROUNDWATER AGE; FLOW; SIMULATION; MEDIA;
D O I
10.1002/2013WR014674
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
A classical theoretical inverse problem in groundwater hydraulics is the calibration of a heterogeneous isotropic hydraulic conductivity field using known hydraulic head data at each point in the domain. It has been long known that a necessary condition for the uniqueness of the solution to this theoretical inverse problem is the Cauchy data, i.e., the hydraulic conductivity values (or, equivalently, flux) along a line crossing all streamtubes in the entire domain. This result has been cited in identifying the value of boundary flux data in practical inverse problems, although in general such data are generally not available. In this work, we show that groundwater mean age data replace this Cauchy data requirement.
引用
收藏
页码:3583 / 3588
页数:6
相关论文
共 50 条