二维大地电磁正演中无网格算法研究

Meshfree Method Used in Two-dimensional Magnetotelluric Forwarding

无网格法是近几年来发展的一种新的基于变分原理的数值计算方法,由于在计算形函数中不需要划分网格,在力学、电磁学等领域得到了广泛的研究。基于无网格法在大地电磁勘探正演中的应用进行了研究,首先对无网格法的基本原理进行了阐述,并利用广义变分原理推导出了相应的离散方程,编制了相应的程序。最后通过理论模型的计算结果检验了该算法的正确性。

As a new numerical computational method based on the principle of variation,meshfree methods has maintained a rapid development in recently years.It has widely applied in studying the problem of the mechanics and electromagnetics because of avoiding the onerous mesh generation.The application of meshfree method in magnetotelluric forwarding was studied.First,the fundamental principle of meshfree method was described and the particular meshless calculating formulas were deduced through the generalized variation principle.The program is verified by comparison with the analytic response of a symmetrical ladders model and with finite difference results of laterally inhomogeneous model.