| 电阻率测井响应的积分方程解法 |
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| 引用本文： | 张庚骥.电阻率测井响应的积分方程解法[J].地球物理学报,1985,28(5):519-525. |
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| 作者姓名： | 张庚骥 |
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| 作者单位： | 华东石油学院 |
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| 摘 要： | 从电流守恒条件出发,得到了两个积分方程.其中第一个和在1964年提出的相同,它的未知函数是边界面上的隐电流源分布密度;第二个积分方程的未知函数则是电位函数本身. 在的文章以及本文作者的另一篇文章中,供电电极和测量电极都被当成点电极处理.用这种方法来处理电位电极系和梯度电极系已不够准确,用来处理三侧向或双侧向等具有大电极的电极系则完全无能为力. 测井中所用的电极系是包着金属外皮的绝缘心棒,金属外皮就是电极.本文提出了处理这种电极系的方法.结果表明,第二个积分方程在处理这种电极系时有明显优点.
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| 关 键 词： | 电阻率测井响应 积分方程解法 电极系 未知量 电位 点电极 未知函数 心棒 无限远边界 流守恒 |
| 收稿时间： | 1983-06-04 |
THE RESPONSE OF RESISTIVITY LOGGING OBTAINED BY SOLVING INTEGRAL EQUATIONS |
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| ZHANG GENG-JI.THE RESPONSE OF RESISTIVITY LOGGING OBTAINED BY SOLVING INTEGRAL EQUATIONS[J].Chinese Journal of Geophysics,1985,28(5):519-525. |
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| Authors: | ZHANG GENG-JI |
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| Institution: | East China Petroleum Institute |
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| Abstract: | Two integral equations are derived from the equation of conservation of current. The first of them coincides with the integral equation proposed by Al'pin in 19641], whose unknown function is the concealed souree distribution on the boundaries of different media. The unknown function of the second one is the potential itself.In papers given by Al'pin1], and Zhang and Shen2], both current electrode and potential electrode were treated as point electrodes. By such a model it is not possible to get accurate response far normal and lateral sondes, still less is it possible to deal with LL3 or dual laterolog.The actual resistivity tool consists of an insulating mandril partially plated with metallic sheets, which supply current and are called electrodes. A method is proposed in the present paper to treat this kind of electrodes. It is obvious from the deduction that the second integral equation is better than the first in treating this kind of sonde. |
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