非对称情形下自然电位测井方程的近似解  

Approximate Solution of the Spontaneous Potential Well-logging Equation for Asymmetric Rock Layers Structure

作　　者：魏得灵[1] 许盈[1] 

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《复旦学报（自然科学版）》2009年第3期322-332,共11页Journal of Fudan University：Natural Science

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.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.

关 键 词：自然电位测井 POISSON公式 均匀介质 强极值原理 

分 类 号：O175[理学—数学]