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给出了电导率分块均匀大地电磁场二维有限元正演算法。该算法采用矩形网格内进一步三角形细化的方式剖分模型,在每个三角形单元内利用线性插值函数来模拟单元内的场值,这样既利用了矩形网格在编程中的方便特性,又通过三角形网格提高了对倾斜接触面及起伏地形的近似程度,而且不明显增加计算量。本文首先通过对一个水平均匀层状模型进行正演,并与解析解对比,验证了本算法的准确性,最后通过对两个较复杂模型的正演,进一步表明了该算法的有效性和可行性。
A two-dimensional finite element forward modeling algorithm for uniform electromagnetic field in conductivity block is given. In this algorithm, a triangular mesh is used to further refine the model. In each triangle element, a linear interpolation function is used to simulate the field values inside the cell. In this way, both the convenient features of the rectangular grid in programming are used, Triangular meshes increase the approximation of sloped contact surfaces and undulating topography without significantly increasing computational complexity. In this paper, firstly, a horizontal uniform layered model is developed and compared with the analytical solution to verify the accuracy of the proposed algorithm. At last, the validity and feasibility of the proposed algorithm is further demonstrated by forward modeling of two more complex models Sex.