用边界积分方程法对地下目标体基本定位

来源期刊：中南大学学报(自然科学版)2000年第2期

论文作者：鲍光淑 孙紫英

文章页码：102 - 105

关键词：边界积分方程;视电阻率响应;电测深;空间定位

Key words：boundary integral equation; response of apparent resistivity; sounding; space location

摘    要：利用边界积分方程数值模拟法研究了均匀半空间(地下)多个三维体条件下的地表视电阻率响应.此外,在微分测深、温纳尔测深及耦极-耦极测深装置下,分析了三维地质体的地表视电阻率响应及异常形态与地质体几何参数的对应关系.通过数值模拟得出了地面各类装置的测深资料特征与地下(电性)不均匀体几何参数的基本对应规律以及进行空间定位的方法,为目标体成像奠定了基础.

Abstract: This paper details the study about apparent resistivity response on the surface of ground to multi-3-dimensional objects under ground in homogeneous half-space using numerical modeling of boundary integral equation method. First,the boundary integral equation group, which was satisfied by the potential on the ground surface at the status of (direct-current source) 3-electrod-device, was deduced and distributed. Then, it is obtained that the (surface) potential distribution and apparent resistivity response with numerical integral on every device. Based on the above,with three different types of sounding devices, we sdudied the surface apparent resistivity response to 3-dimensional bodies and the relationship between the shape of anomaly and the geometrical parameters of the geological bodies. Through numerical method,the contrast of relationship between characters of every kind of sounding material and geometrical parameter of the objects under ground was given with some computing examples, which was the preparation for object topography.