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边界积分方程用于电阻率Zohdy反演的初步研究
引用本文:毛先进,冯锐,鲍光淑.边界积分方程用于电阻率Zohdy反演的初步研究[J].地球物理学报,2000,43(4):574-579.
作者姓名:毛先进  冯锐  鲍光淑
作者单位:1. 云南省地震局,昆明650041; 2. 中国地震局地震数据信息中心,北京100045; 3. 中南工业大学,长沙410083
基金项目:云南省自然科学基金项目!(98D077M),中国有色地质总局基金项目!(98-D-6).
摘    要:研究利用边界积分方程进行电阻率Zohdy反演的有关技术,结果表明在探测区域划分为数千个单元的情况下,为节省正、反演过程中所需要的计算机内存和 CPU时间,可采取以下措施:(1)假定电位分块线性变化,可以使节点数目显著减少,这里每一块都包含若干个单元;(2)利用边界积分方程的特点,可事先计算并存储所有必要的边界积分值,供每一步迭代中调用;(3)利用边界积分方程所特有的数值延拓功能,可以进一步减少节点数目.为了说明这些手段的有效性,先给出了一个数值模拟成像结果,它清楚地表明基于边界积分方程的电阻率 Zohdy反演是快速而有效的,然后给出一个实测剖面的成像实例,成像结果经钻孔检验正确.

关 键 词:边界积分方程  Zohdy反演  电位分块线性变化  存储边界积分  数值延拓  
收稿时间:1999-08-26

PRIMARY RESEARCH ON ZOHDY INVERSION OF RESISTIVITY USING BOUNDARY INTEGRAL EQUATION
MAO XIAN-JIN,FENG RUI,BAO GUANG-SHU.PRIMARY RESEARCH ON ZOHDY INVERSION OF RESISTIVITY USING BOUNDARY INTEGRAL EQUATION[J].Chinese Journal of Geophysics,2000,43(4):574-579.
Authors:MAO XIAN-JIN  FENG RUI  BAO GUANG-SHU
Institution:1. Seismological Bureau of Yunan Province, Kunming 650041, China; 2. Center for Seismological Data and Information State Seismological Bureau, Beijing 100045, China; 3. Central South University of Technilogy, Changsha 410083,China
Abstract:Some skills related to Zohdy inversion of resistivity using boundary integral equation (BIE) have been suggested in this paper. The results show that when the exploration area is divided into many thousands of elements, the following skills are effective for saving memory and CPU time of computer in the iteration process of Zohdy inversion of resistivityt (1) suppose that potential varies linearly on every block which contains some elements; (2) calculate and save all necessary boundary integral values in memory of computer for use in iteration; and (3) take use of the function of numerical developing of BIE. A numerical example shows that those skills are effective, and a field data tomography example shows that the image got from inversion accords very well with drilling test.
Keywords:Boundary integral equation  Zohdy inversion method  Linear change of potential in each block containing some elements  Saving boundary integral valuse  Numerical developing  
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