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井地直流电法三维数值模拟中若干问题研究
引用本文:王志刚,何展翔,魏文博. 井地直流电法三维数值模拟中若干问题研究[J]. 物探化探计算技术, 2006, 28(4): 322-327
作者姓名:王志刚  何展翔  魏文博
作者单位:1. 中国地质大学,北京,100083;东方地球物理公司,河北,涿州,072751;地下信息探测技术与仪器,教育部重点实验室,北京,100083
2. 东方地球物理公司,河北,涿州,072751
3. 地下信息探测技术与仪器,教育部重点实验室,北京,100083
摘    要:
讨论了地下垂直线源分段计算和场叠加的方法,并实现了在套管上供直流电的三维数值模拟。讨论了大型容量矩阵的压缩存储方式,采用数组和结构体相结合的方法实现容量矩阵的一维链表式压缩存储。在求解超大型稀疏线形方程组时引入不完全Cholesky分解稳定化的双共轭梯度算法(ICBG),通过与均匀半空间垂直线源解析解的对比,证明了该算法是准确可靠的。

关 键 词:井地直流电法  压缩存储  三维有限差分法  双共轭梯度法  不完全Cholesky分解
文章编号:1001-1749(2006)04-0322-06
收稿时间:2005-11-02
修稿时间:2005-11-02

Study on some problems upon 3D modeling of DC borehole-ground method
WANG Zhi-gang,HE Zhan-xiang,WEI Wen-bo. Study on some problems upon 3D modeling of DC borehole-ground method[J]. Computing Techniques For Geophysical and Geochemical Explorationxploration, 2006, 28(4): 322-327
Authors:WANG Zhi-gang  HE Zhan-xiang  WEI Wen-bo
Abstract:
The paper discusses the calculation method of field induced by vertical line sources by segments and field stacking.The method realizes 3D modeling of field induced by DC in cased well.The paper analyzes compress storage of large coefficient matrix which realizes 1D chain compress storage of coefficient matrix by combination of array and structure.During solution of supper-large sparse system of linear equations,incomplete Cholesky factorization of stabilized biconjugate gradient(ICBG) method is applied.Comparing of the analytic solutions and numerical ones of line sources in homogeneous half-space indicates that the method is accurate and reliable.
Keywords:DC borehole-ground method  compress storage  3D finite difference method  biconjugate gradient method  incomplete cholesky factorization
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