基于全区视电阻率的瞬变电磁一维Occam反演中雅克比矩阵的解析算法

Analytical algorithms of Jacobian matrix in one-dimensional Occam inversion of central loop transient electromagnetism based on all-time apparent ressivivity

在目前的工程应用中,瞬变电磁测深一维反演结果依然是地质解释的重要依据。为提高一维反演的计算效率和计算精度,解析推导出一维正演的雅克比矩阵就非常必要。本文详细推导了中心回线装置下瞬变电磁一维正演全区视电阻率的雅克比矩阵的解析计算公式,并通过Occam反演测试理论模型和实测数据,证明该推导正确,值得采用。

In the current engineering application,one-dimensional inversion result of TEM sounding is still an important basis for geological interpretation.In order to improve the computational efficiency and accuracy of one-dimensional inversion,it is necessary to analytically derive Jacobian matrix of one-dimensional forward.In this paper,the analytical formulas of Jacobian matrix in one-dimensional forward of central loop transient electromagnetic based on all-time resisitivity are derived in detail.It is proved that the formulas are correct and worth adopting,as shown by testing one-dimensional Occam inversion of theoretical model and measured data.