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电测井积分方程的计算方法
引用本文:刘福平,张煜,张庚骥.电测井积分方程的计算方法[J].中国石油大学学报(自然科学版),2001,25(1).
作者姓名:刘福平  张煜  张庚骥
作者单位:1. 中国科学院地质与地球物理研究所,
2. 石油大学石油资源科学系,
摘    要:利用柱侧面对空间某点所张立体角的积分可转化为柱底面对空间某点所张立体角积分的结果 ,将电测井积分方程离散化。对包含奇异点在内的几个特殊点给出了柱底面对这些点所张立体角的值 ,并给出了电测井积分方程系数矩阵的计算方法。利用所得结果计算了双侧向测井仪的电极系系数 ,其结果与仪器标定值吻合得很好 ,相对误差在 2 %以内。说明这种计算方法及这些特殊点所给的立体角的值是正确的

关 键 词:电测井  立体角  积分方程  椭圆积分  系数矩阵

COMPUTATION METHOD OF INTEGRAL EQUATION FOR ELECTRICLOG
LIU Fu-ping,ZHANG Yu,ZHANG Geng-ji.COMPUTATION METHOD OF INTEGRAL EQUATION FOR ELECTRICLOG[J].Journal of China University of Petroleum,2001,25(1).
Authors:LIU Fu-ping  ZHANG Yu  ZHANG Geng-ji
Institution:LIU Fu ping,ZHANG Yu and ZHANG Geng ji/ About the first author: LIU Fu ping,male,is an associate professor. He received MS degree from the University of Petroleum in 1994. Now he is a Ph.D candidate in Institute of Geophysics in Chinese Academy of
Abstract:The conclusion that integration of solid angle for lateral surface of a cylinder can be turned into integration for bottom surface is applied to change the integral equation into discrete equation. A computing method of coefficient matrix is given. For a few special points including singular points, the numerical values of solid angle of a cylindrical bottom surface open to these special points. The computing methods of coefficient matrix are given. Using this method, the form factors of dual laterolog tool are computed. The calculation results are in conformity with the calibration values of the tool.
Keywords:electric log  solid angle  integral equation  elliptic integration  coefficient matrix
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