带装置系数的一维电测深数值模拟方法  

A calculation of apparent resistivity with device coefficient in 1D resistivity sounding

作　　者：王紫郡 刘云[1] 吴夏涛 段跃权 WANG Zijun;LIU Yun;WU Xiatao;DUAN Yuequan(School of earth sciences,Yunnan University,Kunming 650500,China;Yunnan Copper Mineral Resources Exploration and Development Co.,Ltd.Kunming 650051,China)

机构地区：[1]云南大学地球科学学院,昆明650500 [2]云南铜业矿产资源勘查开发有限公司,昆明650051

出　　处：《物探化探计算技术》2022年第5期590-596,共7页Computing Techniques For Geophysical and Geochemical Exploration

基　　金：国家重点研发计划项目(2016YFC0600505)。

摘　　要：常规的一维电测深数值模拟方法,采用不带装置系数的J_(1)型Hankel积分方法计算视电阻率和视极化率。这种数值模拟方式假设接收电极距MN无限小,仅考虑供电极距AB。显然常规的电测深数值模拟方法,适用于供电极距相对于接收电极距较小的情况。当接受电极距MN大小不能忽略时,这种数值模拟方法不再符合野外实际测量装置,这为后续反演带来了误差和不确定性。为了更加精确地模拟实测视电阻率和视极化率,这里采用J_(0)型Hankel积分数值计算点源场的测量电极电位,在计算视电阻率时引入4个电极的装置系数,并采用Seigel体激发极化理论计算视极化率。算例表明,采用带装置系数的J_(0)型Hankel积分的电测深数值模拟方法,对一维层状介质的电性分界面的定位能力较高;通过与二维电阻率测深数值模拟比较,可见改进的一维电测深数值模拟方法更符合野外实际测量情况。The conventional 1D electrical sounding numerical simulation method uses the J_(1) Hankel integral method without device coefficients to calculate apparent resistivity and apparent polarizability.This method assumes that the receiving electrode distance MN is infinitely close,and only the power supply electrode distance AB is considered.Obviously,the conventional numerical simulation method of electrical sounding is suitable for the case that the distance between the power supply electrode relative to receiving electrode is close.When the receiving electrode distance MN cannot be ignored,this method is not suitable for the actual field measurement device,which brings error and uncertainty to the inversion.In order to more accurately simulate the measured apparent resistivity and apparent polarizability,the measured electrode potential of point source field is numerically calculated by J_(0) Hankel integral.The device coefficients of four electrodes are introduced in the calculation of apparent resistivity,and the apparent polarizability is calculated according to Seigel volume polarization theory.The example shows that the numerical simulation method of electrical sounding with J_(0) Hankel integral with device coefficient resolute the electrical interface of one-dimensional layered medium more accurate.Compared with the two-dimensional numerical simulation,it can be seen that the improved one-dimensional electrical sounding numerical simulation method is more suitable for the actual field measurement.

关 键 词：电测深法 视电阻率 视极化率 装置系数 

分 类 号：P631.3[天文地球—地质矿产勘探]