Solution strategies for two- and three-dimensional magnetotelluric forward problems

摘要

We analyse a variety of solution strategies for two-dimensional(2D) and three-dimensional(3D) magnetotelluric forward problems. To impose efficient strategies on the problem, the finite-element equations arising from Maxwell equations are employed in the magnetotelluric forward problem.Krylov subspace methods are then used to solve the resulting kernel for solving 2D and 3D forward problems, where multiple solutions of the forward problem are required. In there, the Bi-CGSTAB algorithm with incomplete LU decomposition for preconditioning was used to solve this system linear equation, with advantages of high speed, high precision and stability. By numerical simulation, we verified the correctness of the 2D/3D magnetotelluric forward method.