Three-Dimensional Forward Calculation for Loop Source Transient Electromagnetic Method Based on Electric Field Helmholtz Equation
详细信息   
摘要


     Forward and interpretation ; is very important. field firstly, then calculation is the base of parameters selection in field work, data processing, particularly the accurate, stable and efficient three-dimensional forward solver In this paper, based on the strategy that solving the Laplace-domain electrical acquiring the time-domain magnetic field by Gaver-Stehfest algorithm, weemployed staggered finite difference SFD and finite volume FV to discretize the electrical field Helmholtz equation for three-dimensional forward calculation of loop source transient electromagnetic method. Comparing with the numerical solutions of integral equation IE, finite difference in time domain FDTD, vector finite element method VFEM and spectral Lanczos decomposition method SLDM for low resistivity body in homogeneous half-space, we validated the SFD and FV algorithms. Because the unknown electrical field is arranged on the edge of brick for SFD, FV and VFEM based on brick element, so these three numerical algorithms could utilize the same method for coding the unknown electrical field, computing the background field and post processing. However, comparing with the VFEM, the coefficient matrixes produced by SFD and FV are sparser, so these two algorithms are more efficient. For low resistivity horizontal sheet model, we use SFD, FV and 1D analytical method to compute the induced electromagnetic force EMF. The results show that SFD has higher accuracy than FV, and the contours of EMF for these three algorithms coincide with each other very well although the range of EMF has fine distinctions.

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