三维直流电场标量拟解析近似法数值模拟精度分析与评价  

ANALYSIS AND ESTIMATION OF ACCURACY OF THE SCALAR QUASI-ANALYTICAL METHOD FOR THE 3D D.C. ELECTRIC FIELD MODELING

作　　者：张金会[1,2,3] 孙建国[1,2] 

机构地区：[1]吉林大学地球探测科学与技术学院,吉林长春130026 [2]国土资源部应用地球物理综合解释理论开放实验室,吉林长春130026 [3]安徽省勘查技术院综合物探分院,蚌埠233005

出　　处：《物探化探计算技术》2010年第6期607-612,共6页Computing Techniques For Geophysical and Geochemical Exploration

基　　金：国家高技术研究发展计划(863)(2006AA06Z109);国家自然科学基金项目(40574052);国家重点基金研究发展计划(973)课题(2007CB209603)

摘　　要：拟解析近似方法是一种可以处理强散射或大扰动问题的求解积分方程的近似方法,该方法可以避免用传统数值方法解决问题时,所遇到的大型矩阵或大型代数方程组问题。根据孙建国在文章[14]中的求解异常电场积分方程的标量拟解析近似理论公式,对标量拟解析近似进行研究。对均匀场中的异常球体标量拟解析近似解进行计算,并与理论解进行了对比,验证了其精度,证明拟解析近似方法求解直流电场积分方程是可行的。通过对标量拟解析近似方法在直流电场数值模拟的研究,为三维直流电场快速正反演模拟打下了基础。The quasi-analytical is a method which can deal with strong scattering or large perturbation problems and is used to solve integral equations.This paper is to study the scalar quasi-analytical method based on the quasi-analytical method which was introduced in Sun J'paper published on 2005.Through the numerical analysis of the scalar quasi-analytical result about the anomalous sphere in the uniform field,and comparison of the results with the analytical results,we validate the precision of the Quasi-analytical Method.It paves the foundation of the quasi-analytical method using in fast forward and inverse modeling by the study of the scalar quasi-analytical method used in the D.C electrical field modeling.

关 键 词：积分方程 拟解析近似 直流电场 

分 类 号：O175.5[理学—数学]