A Multi-resolution Approach to 3D Controlled-source Electromagnetic Modeling

Abstract

We have introduced a multi-resolution sampling approach for 3D finite-difference controlled-source electromagnetic forward modeling. Inside this scheme, the discrete operators are constructed based on the original sampling points. At the same time, the algorithm reduces the number of discrete electromagnetic fields instead of the number of cells. To avoid the deterioration of the condition number of the coefficient matrix caused by multiplying by different levels of sparse operators, we introduce a novel technique to optimize the condition number of the coefficient matrix. The results show that the new approach improves computational efficiency without compromising the accuracy of the solution.