层状介质点源电场正演解析及其应用  

THE FORWARD SOLUTION OF THE ELECTRICAL FIELD DUE TO A POINT SOURCE IN LAYERED MEDIA AND ITS APPLICATIONS

作　　者：葛为中[1] 

机构地区：[1]桂林工学院

出　　处：《地球物理学报》1994年第A02期534-541,共8页Chinese Journal of Geophysics

摘　　要：层状介质点源电场的正演解析是研究直立或水平多层介质、点电源位于地面或地下情况的电法勘探问题．推导出求电位积分式中待定系数的递推公式，借助Ｇａｕｓｓ－Ｌａｇｕｅｒｒｅ公式作数值积分，编制程序，快速计算多层地层的测量装置与界面正交、斜交或平行情况的视电阻率值．The forward solution of the electrical field due to a point source in layered media is used to either ground or underground electrical exploration for vertical or horizontal multilayered media.The recarrence formulas are derived which are used to calculate the undefined coefficients in the integral expressions for the electrical potential. The numerical integration of electrical potential can be carry out by means of Gauss-Laguerre formula. The programs designed can be used to fast calculate the apparent resistivity for any electrode configuration,any number of medium layers and arbitrary oricntation of electrode (normal to, oblique to and parallel with the interface strike).

关 键 词：电法勘探 正问题 递推公式 数值积分 点源电场 

分 类 号：P631.3[天文地球—地质矿产勘探]