长偏移距瞬变电磁法全区视电阻率的二分搜索数值算法

The all-time apparent resistivity bisearch numerical algorithm based on long offset transient electromagnetic method

本文分析研究了长偏移距瞬变电磁法感应电动势曲线随电阻率变化的规律,认识到感应电动势在任意时刻随电阻率的增大而具有分区单调的特性。据此,设计出了计算全区视电阻率的二分搜索数值算法。该算法可以利用感应电动势数据直接计算不同时刻的视电阻率值。理论数据的计算表明,该算法非常精确,相对误差在0.1%内,文中还给出了二分搜索算法的基本思想和详细步骤、以及流程图。

The rule of induced electromotive force curve with resistivity change in long offset transient electromagnetic method was studied and analyzed in this paper,it is understood that at any moment the increase of the induced electromotive force with resistivity shows a piecewise monotone feature. Based on the feature the bisearch numerical algorithm which calculates all-time apparent resistivity was designed in this paper. By utilizing induced electromotive force data the algorithm directly calculates apparent resistivity values at different moments,The calculation for theoretical data shows that the algorithm is very accurate,its relative error is less than 0.1 percent,the basic idea,detailed steps and exact flowchart for the bisearch numerical algorithm were introduced in this paper.