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用交错网格有限差分法计算三维频率域电磁响应
引用本文:沈金松.用交错网格有限差分法计算三维频率域电磁响应[J].地球物理学报,2003,46(2):281-288.
作者姓名:沈金松
作者单位:石油大学盆地与油藏研究中心,北京 102249
基金项目:国家自然科学基金 (496742 33),留学回国人员科研启动基金 (J0 2 0 1 ) .
摘    要:用交错网格有限差分法(SFD),实现了三维频率域电磁场响应 的数值模拟. 该方法适用于任何方向的磁偶极子源. 经与解析方法、积分方程等 其他方法的计算结果对比表明,交错网格有限差分法结合散度校正和不完全乔累斯基分解预 处理的双共轭梯度迭代方法进行正演计算,速度快、精度高、结果稳定,能适应三维复杂介 质的数值模拟,为三维电磁反演奠定了基础.

关 键 词:交错网格有限差分  频率域电磁响应  双共轭梯度迭代  散度校正  不完全乔累斯基分解  
文章编号:0001-5733(2003)02-0281-08
收稿时间:2001-7-13
修稿时间:2002-7-18

MODELING OF 3-D ELECTROMAGNETIC RESPONSES IN FREQUENCY DOMAIN BY USING STAGGERED GRID FINITE DIFERENCE METHOD
SHEN JINSONG.MODELING OF 3-D ELECTROMAGNETIC RESPONSES IN FREQUENCY DOMAIN BY USING STAGGERED GRID FINITE DIFERENCE METHOD[J].Chinese Journal of Geophysics,2003,46(2):281-288.
Authors:SHEN JINSONG
Institution:Basin and Reservoir Research Center,Petroleum University, Beijing 1022 49,China
Abstract:In this study, the staggered-grid finite difference method is used to simulate the three dimensional electromagnetic responses. This method is suitable for the magnetic dipole in any direction. The obtained results are compared with analytic solution and those from integral equation and other means. It is shown that the staggered grid finite difference method combined with the Bi-conjugate gradient iterative solver processed with divergence correction and in-complete Cholesky decomposition procedures can efficiently improve the three dimensional electromagnetic calculation with high accuracy and stability.
Keywords:The staggered-grid finite difference method  Electromagnetic responses in frequency domain  Bi-conjugate gradient iterative solver  Divergence correction  In-complete Cholesky decomposition  
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