视电阻率对模型电阻率的偏导数矩阵计算方法

A GENERATION METHOD OF THE PARTIAL DERIVATIVES OF THE APPARENTRESISTIVITY WITH RESPECT TO THE MODEL RESISTIVITY PARAMETER

按Trippetal.(1984)提出的理论 ,给出了一种视电阻率对模型电阻率的偏导数矩阵简便计算方法 ,它的核心是互换定理。只要得到所有供电和测量电极节点分别供单位电流时各有限元网格节点上的电位 。

Base on Tripp et al. (1984) sensitivity theorem, a generation method of the partial derivatives of the apparent Resistivity with respect to the model resistivity parameters by is given. The key point is that because of the reciprocity relationship between the source and receiver locations. The partial derivatives of the apparent Resistivity with respect to the model resistivity parameters equal to a linear combination of the forward electric potential responses in all net points of finite element method resulting from sources placed at the receiver sites.