大定源回线全区视电阻率平移算法与核函数算法的对比

为了更快、更准确地进行瞬变电磁一维正、反演，研究了中心回线装置计算全区视电阻率的平移算法和核函数算法。研究表明，均匀半空间大定源回线的瞬变响应曲线具有平移伸缩特性和核函数特点，可以运用平移算法和核函数算法计算。推导出全区视电阻率的计算公式，通过三层K型、4层KH型地电模型理论计算，对比分析了平移算法和核函数算法的运算速度和误差，结果表明：平移算法的运算速度为0.140 6 s，均方根误差为1.824×10^-2，核函数算法的运算速度为3.241 8 s，均方根误差为0.728×10^-2，两种方法均能计算大定源回线的全区视电阻率，各有优缺点。

A comparative study of the translation algorithm and kernel function algorithm for the large fixed loop

In order to forward and inverse faster and more accurately in transient electromagnetic methods, the translation algorithm and kernel function algorithm to calculate the apparent resistivity for central loop are studied in detail. The facts that the analytic expression curve in homogeneous half space for lager fixed loop has translation characteristics and kernel function characteristics. The all-time apparent resistivity for the large fixed loop can be calculated by using translation algorithm and kernel function algorithm. A new calculation equation of all-time apparent resistivity for large fixed loop is derived through the mathematical formulas. The operation speed and the percentage error are comparative analyzed between the translation algorithm and kernel function algorithm through the 3 layers K and 4 layers KH geoelectric models theoretical calculations. The operation speed of the translation algorithm is 0.140 6 s, and it's root mean square error is 1.824%. The operation speed of the kernel function algorithm is 3.241 8 s, and it's root mean square error is 0.728%. The advantages and disadvantages of the two algorithms in calculating the all-time apparent resistivity for large fixed loop were given in this paper.