稳定电流场的拟线性近似方法研究  

Study of pseudo-linear approximate method for stable current field.

作　　者：陈丽虹[1] 孙建国[1] 

机构地区：[1]吉林大学地球探测科学与技术学院

出　　处：《石油地球物理勘探》2004年第5期589-593,共5页Oil Geophysical Prospecting

基　　金：教育部青年骨干教师资助计划长江学者匹配项目;吉林大学青年教师基金项目资助

摘　　要：拟线性近似方法是 Zhdanov在研究电磁散射正反演问题的过程中提出的一种近似方法。由于稳定电流场的积分方程与电磁散射的积分方程具有相似性 ,所以可以利用拟线性近似方法来研究稳定电流场的问题。能否用简便可行的方法求出参数是决定这种方法有效性的关键。针对稳定电流场的特点 ,本文重点探讨了在几种常见的简单地电模型中参数的变化规律。研究结果表明 ,对于在直流电法勘探中常见的情况 ,参数可以认为是位置的慢变函数 ,并且可以用比较简便的方法求得。这个研究结果为利用拟线性近似方法实现稳定电流场的快速反演打下了基础。Pseudo-linear approximate method is approximate method presented by Mr.Zhdanov during the process of study on forward and inversion problems of electromagnetic scattering.Because the similarity between integration equation of stable current field and integration equation of electromagnetic scattering,the pseudo-linear approximate method can be used to study the issue of stable current field.The key that determines the method being effectiveness is whether the simple and feasible method can be used to calculate the parameter λ.The paper mainly discussed the variation rule of parameter λ in some common simple geoelectric models.The studied results showed that the parameter λ can be considered as slowly changed function of position in common scenario of direct current (DC) electrical prospecting and can be acquired by simpler method.This study laid a foundation for using pseudo-linear approximate method to realize the rapid inversion of stable current field.

关 键 词：拟线性 近似方法 流场 积分方程 慢变函数 电磁散射 参数 地电 正反演 直流电法 

分 类 号：TE122[石油与天然气工程—油气勘探] O175[理学—数学]