%0 Journal Article
%T ALGEBRAIC MULTIGRID METHOD FOR 3D DC RESISTIVITY MODELLING<br>直流电阻率三维正演的代数多重网格方法
%A LU Jing-Jin
%A WU Xiao-Ping
%A Klaus Spitzer
%A <br>鲁晶津
%A 吴小平
%A Klaus Spitzer
%J 地球物理学报
%D 2010
%I 
%X Multigrid method is of high numerical efficiency in solving linear equations arisen from boundary value problem of partial differential equation(PDE).The usual geometrical multigrid has some defects which restrict its application in PDE with jumping coefficient.In this paper, algebraic multigrid (AMG) method is used to solve finite difference linear equations which are derived from 3D DC resistivity modelling.We solve the secondary potential to remove the singularity of the primary potential caused by source current, resulting in an accurate 3D resistivity modelling. Two models with high conductivity contrast are used to demonstrate convergence and efficiency of the AMG method.Our results show that AMG methods are very efficient and robust in comparison with incomplete cholesky conjugate gradient (ICCG) methods. Moreover, the AMG method becomes more efficient as the number of 3D grid nodes increases.
%K Algebraic multigrid
%K 3D resistivity modeling
%K Conductivity contrast<br>代数多重网格
%K 三维电阻率数值模拟
%K 电性差异
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=1E44AE713D8A6DE0&jid=14DC41C59CBF6770055A7D610D53AE46&aid=9F755DC180C1AF284A5D0E1D5A0C988C&yid=140ECF96957D60B2&vid=8E6AB9C3EBAAE921&iid=38B194292C032A66&sid=27A3D4EE1F52A91C&eid=E008F9AD6D4B96EF&journal_id=0001-5733&journal_name=地球物理学报&referenced_num=1&reference_num=42