| 直立多层介质地面电法正演问题的计算 |
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| 引用本文： | 葛为中,胡新发. 直立多层介质地面电法正演问题的计算[J]. 桂林工学院学报, 1991, 0(4) |
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| 作者姓名： | 葛为中 胡新发 |
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| 作者单位： | 桂林冶金地质学院勘查地球物理系，广西有色地勘局204队 平桂 |
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| 摘 要： | 对于直立多层介质地面点源电场问题,通过电阻率转换函数递推公式,求得电位积分式中的待定系数;利用同一层待定系数间的互换关系来防止核函数超界;借助高斯-拉盖尔公式,进行电位的数值积分。算例表明,计算精度与镜象法或线性方程组法相比,误差小于1％。
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| 关 键 词： | 电法勘探 正问题 数值积分 核函数/转换函数 递推公式 高斯-拉盖尔公式 |
THE CALCULATION OF THE FORWARD PROBLEM ABOUT THE GROUND ELECTRICAL EXPLORATION ON A VERTICAL MULTI-LAYER MEDIUM |
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| Ge Weizhong,Hu Xinfa. THE CALCULATION OF THE FORWARD PROBLEM ABOUT THE GROUND ELECTRICAL EXPLORATION ON A VERTICAL MULTI-LAYER MEDIUM[J]. Journal of Guilin University of Technology, 1991, 0(4) |
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| Authors: | Ge Weizhong Hu Xinfa |
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| Affiliation: | Ge Weizhong,Hu Xinfa Department of Exploration Geophysics,Guilin College of Geology Guangxi Party 204 of Geology,CNNC,Pinggui |
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| Abstract: | For the problem of the ground point-source electric field of a verticalmulti-layer medium, the undefined coefficients in the integral expressions forelectrical potential can be obtained by the recurrence formulas of theresistivity transformation functions, and by using the reciprocity of thecoefficients in the same layer, the kernel functions can be protected againstoverrunning. The numerical integration of electrical potential can be carriedout by means of Gauss-Laguerre formula. The calculative examples showthat the calcu-lative error is less than 1% as compared with the mirrormethod or linear equations method. |
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| Keywords: | electrical survey forward problem numerical integration kernel function/transformation function recurrence formula Gauss-Laguerre formula |
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