| 非对称情形下自然电位测井方程的近似解 |
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| 引用本文： | 魏得灵,许盈. 非对称情形下自然电位测井方程的近似解[J]. 复旦学报(自然科学版), 2009, 48(3) |
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| 作者姓名： | 魏得灵 许盈 |
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| 作者单位： | 复旦大学数学科学学院,上海,200433;复旦大学数学科学学院,上海,200433 |
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| 摘 要： | 在均匀介质的假设下,构造了关于井轴非对称二维情况下的自然电位测井方程的近似解和误差的估计式.基于这个估计式,可以发现当围岩层厚度与渗透层半径的比值减小时近似解的误差就可能会变大.为了克服这个困难,通过采用坐标变换的方法给出了一个新的近似解.这些近似解可以用来检验数值算法的好坏.
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| 关 键 词： | 自然电位测井 Poisson公式 均匀介质 强极值原理 |
Approximate Solution of the Spontaneous Potential Well-logging Equation for Asymmetric Rock Layers Structure |
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| WEI De-ling,XU Ying. Approximate Solution of the Spontaneous Potential Well-logging Equation for Asymmetric Rock Layers Structure[J]. Journal of Fudan University(Natural Science), 2009, 48(3) |
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| Authors: | WEI De-ling XU Ying |
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| Affiliation: | School of Mathematical Sciences;Fudan University;Shanghai 200433;China |
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| Abstract: | An approximate solution of the spontaneous potential well-logging equation for asymmetric rock layers structure and its error estimate are obtained.Based on the estimate,it can be found that the error grows as the ratio of the height of the enclosing rock to the breadth of the invaded zone decreases.To overcome this problem,using the transformation of coordinate,a new approximate solution is given. |
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| Keywords: | spontaneous potential well-logging Poisson formula homogeneous rock layer strong maximum principle |
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