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用边界单元法正演电测深曲线计算精度问题

Probe into the Calculation Precision in the Forward Problems of Apparent Resistivity Sounding Curves with Boundary Element Method(BEM)
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摘要 本文研究了用边界单元法解点源二维地电断面问题时,付氏变换、边界剖分、无穷边界的处理、高斯积分以及地电参数等因素对视电阻率计算精度的影响。对无限延伸的边界采用对数规律进行剖分。对无穷边界采用直接截断方法进行处理。分段选取波数时,相邻距离段立适当重叠,通过前移处理以提高计算精度;由于相邻波数组部分波数重叠,从而减少了实际参与运算波数的个数,这样既保证了计算精度又提高了计算速度。 In this paper, the influence is discussed of the Fourier transform, the divided boundary, the infinite boundary disposal, the Gauss integration and geoelectric parameters etc on the apparent resistivity precision in solving the 3-D boundary value problems of electric field of point sources on 2-D geoelectric sections with BEM. The regulation of logarithmic divided boundary is used for the infinite expanding earth's surface or stratified demarcated plane, and the finite cut-off method is used for the infinte boundary, When wave numbers are selected in divided segments, there is appropriate overlapping in the neighbouring segments. In order to increase the calculation precision, forwardmoving treatment is adopted. There are some wave numbers overlapping the neighbouring sets of wave numbers, and so the number of wave numbers is decreased in the course of computation. Thus, not only the calculation precision is kept, but also the computing speed is increased.
出处 《河北地质学院学报》 1990年第1期50-61,共12页
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