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In view of the problem that widespread existing undulating terrain and anisotropic in the actual geophysical prospecting, we propose a numerical simulation method which only needs discrete nodes to construct the shape function. Assuming the electrical spindle axis of underground anisotropic medium is perpendicular to the plane, another is parallel to the plane, we construct the conductivity tensor model. From the 2-D anisotropic magnetotelluric boundary value problem, we derive the corresponding equivalent linear equation based on radial point interpolation meshfree method, the shape function is constructed by MQ-RBF function, and the coefficient matrix is compressed and stored by the MATLAB's own sparse storage function. The linear equations are solved by BICGSTAB algorithm with incomplete LU decomposition. The simulation results show that the undulating terrain severely affects the distribution of underground electromagnetic field and greatly changes the original anomaly characteristics, topography effect on the observation data is far greater than the influence of the anisotropy coefficient itself.

2-D anisotropic magnetotelluric numerical simulation under undulating terrain based on meshfree radial point interpolation method