基于阻尼最小二乘的二维高密度电阻率CT层析成像研究

Study on 2D resistivity tomography based on damped least squares

高密度电阻率法是集中了电剖面法和电测深法,观测中采用组合不同极距组成的一种阵列勘探方法。本文首先采用有限差分求解电位实现二维高密度电阻率正演计算;其次采用非线性adjoint方法求取雅克比矩阵;并采用最小二乘实现电阻率二维反演;通过与商业软件比较,在算法稳定性及异常分辨上均取得较好效果。

Electrical resistivity tomography combined profile method and electric sounding method. The difference between high density electrical resistivity with ordinary quadrupole resistivity method is the high density electrical resistivity in the observation combined different pole pitch an array of prospecting. First we use finite difference solving the potential implementation of two-dimensional high-density resistivity forward modeling; Secondly using nonlinear adjoint method to calculate Jacobi matrix; And the resistivity two-dimensional inversion is realized by using least squares method. Through compared with commercial software, on the stability of the algorithm and anomaly resolution has achieved good effect.