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点源二维电场中纵剖面上电位的计算
引用本文:徐世浙,刘斌.点源二维电场中纵剖面上电位的计算[J].地球物理学报,1996,39(4):551-560.
作者姓名:徐世浙  刘斌
作者单位:青岛海洋大学地质地球物理研究所, 青岛 266003
摘    要:将总电位ν分解为正常电位.uo和异常电位u·本文绘出点源二维电场中,异常电位u的傅氏变换U的变分方程,以及点源二维电场地形影响的异常电位u的傅氏变换U的积分方程,前者可用有限单元法求解,后者可用边界单元法求解.根据电源点的U的傅氏反交换,解决了前人尚未解决的直接计算点源二维电场中纵剖面(通过电源点、平行走向的剖面)的电位问题.

关 键 词:电阻率法  点源二维电场  异常电位  纵剖面  
收稿时间:1991-01-09

THE CALCULATION OF POTENTIALS AT LONGITUDINAL SECTION IN 2-D ELECTRICAL FIELD WITH POINT SOURCE
XU SHI-ZHE,LIU BIN,ZHOU HUI.THE CALCULATION OF POTENTIALS AT LONGITUDINAL SECTION IN 2-D ELECTRICAL FIELD WITH POINT SOURCE[J].Chinese Journal of Geophysics,1996,39(4):551-560.
Authors:XU SHI-ZHE  LIU BIN  ZHOU HUI
Institution:Institute of Geology and Geophysics, Ocean University of Qingdao, Qingdao 266003, China
Abstract:Total potentials v are divided into normal potential uo and anomaly potential u.This paper gives:1)the variational equation of Fourier transformed potential U rom anomaly potential u in 2-D electrical field with point source,and 2)the integral equation of Fourier transformed potential U from anomaly potential u caused by terrain. The finite element method is used to solve the variational equation,and the boundary element method Is used to solve the integral equation.From the inverse Fourier information of U at point source, We can directly calculate the potentials at longitudinal section pass through the point source.
Keywords:Resistivity surveys  2-D electrical field  with  point  source  Anomaly potential  Longitudinal section  
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