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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.
Starting from the conservation of current conditions, two integral equations are obtained, the first of which is the same as proposed in 1964. Its unknown function is the distribution density of the hidden current source on the boundary surface. The unknown function of the second integral equation is In the article and in another article by the authors of this article, both the supply electrode and the measurement electrode are treated as spot electrodes. The method of treating the potential and gradient electrodes in this way is not accurate enough to handle the tri Lateral or double-sided electrode system with a large electrode is completely helpless.The electrodes used in logging are insulated mandrel wrapped with metal sheath, the metal skin is the electrode.This paper presents a method of dealing with this electrode system.Results Show that the second integral equation has obvious advantages in dealing with this electrode system.