基于电偶源的体积分方程法三维电磁反演

3D Electromagnetic Inversion by Volume Integral Equation Method Based on Current Dipole Source

利用体积分方程对电偶源激发时均匀导电半空间频率域三维电磁场进行正反演计算。计算中参考Eaton等提出的方法将雅可比矩阵分为线性和非线性偏微分项求解,然后利用阻尼最小二乘技术进行最优化迭代拟合。这种反演方法具有更广的适用范围和更高的计算精度,能够准确、稳定地得到较高分辨率的地下三维异常体电阻率分布图像。

Volume integral equation method has been used to calculate forward and inverse problems of 3D electromagnetic fields in homogeneous half-space. In the calculation, Eaton＇s method was first referenced to decompose the Jacobian matrix into linear and nonlinear partial differential terms, damped least square method was then applied to fit it optimized iteratively. Numerical results indicate that the algorithm is more accurate and stable in modeling 3D electromagnetic responses. The inversion algorithm can obtain high-resolution 3D anomaly body conductivity images.