Computing Green’s Function ofA Current Point Source in Layered Earths inA Closed Form by Multi-Exponential Series Approximation
详细信息
- 责任者：Weng Aihua (College of Geo-Exploration Science and Technology ; Jilin University ; Changchun 130026 ; China) ; Liu Yunhe
- 刊名：Journal of Jilin University
- 出版年：2011
- 卷期：41(1)
- 关键词：磁法勘探 ; magnetic prospecting ; 电法勘探 ; electrical exploration ; 格林函数 ; Green function
- 页码：p.258-264
- 图表：5 illus., 1 table, 25 refs.
- 分类号：1900
- issnNo：ISSN1671-5888
- isbnNo：CN22-1343/P
摘要
A novel method is developed to compute the Green’s function of a current point source buried in electrical conductive layered earths. In this method, the kernel function of Green’s function is firstly approximated by multi-exponential series with the fact that the function is real and mono-decay or mono-increase, and then with the help of Somerfeld-Lipschtz integration, the Green’s function can be expressed in a closed form of the summation of a finite series. Numerical results show that with the following optimized parameters, one can get a highly accurate computation of Green’s function: 1) λmin=10-6, λmax=10, with number of samples N=128, and λ sampled in logarithmic mode; 2) T2min=10-7, T2max=103, T2 is sampled in logarithmic mode with 64 samples; and 3) the most optimized regularization parameter α2 could be 10-5, and the simplest model is the preferred solution constraint.