3-D marine controlled-source electromagnetic modelling in an anisotropic medium using a Wavelet-Galerkin method with a secondary potential formulation

摘要

This paper presents a new algorithm for solving 3-D MCSEM modelling problems in an anisotropic medium using a Wavelet-Galerkin method (WGM) based on compactly supported Dau-bechies wavelets which are differentiable according to the requirement. In order to avoid the source singularity, we adopted a secondary potential formulation for the quasi-static Maxwell's equation. The primary field on the modelling domain is calculated using fast Hankel transform. The domain can be discretized by locally intensive nodes to deal with the model's complexity, which is observed to improve the accuracy of the solution. The sparse system of the WGM equations is solved using the direct solver MUMPS. This study's algorithm is then applied to calculate the response of the MCSEM in isotropic and anisotropic mediums. The results generated are verified against with solution obtained by FE method and confirmed the performance of the algorithm presented in this study.