自然电位测井的双层位势法  

Double Layer Potential Method for the Spontaneous Well-logging

作　　者：左立华[1] 陈娓[2] 

机构地区：[1]复旦大学数学科学学院,上海200433 [2]上海立信会计学院,上海201620

出　　处：《工程数学学报》2008年第6期1013-1022,共10页Chinese Journal of Engineering Mathematics

摘　　要：对于自然电位测井,本文利用双层位势构造的函数来实现交界面上的电位跳跃条件,从而使有关的相容性条件得到满足,易于用有限元素法求解;并在求解过程中利用双层位势的单积分形式,有效的加快了有限元素法计算的速度。A new method to solve the problem related to the spontaneous well-logging is presented in this paper. The double layer potential is used to remove the jumps of spontaneous potential on every segment of the interface between formations with different resistivity. Thus the compatibility condition is satisfied and the finite element method can be directly used. In the numericaI simulation, the double layer potential of simple integral form is efficiently used to speed up the computation.

关 键 词：自然电位测井 相容性条件 双层位势 有限元素法 

分 类 号：O172.25[理学—数学]