关于地球物理反演中目标函数的初步探讨  

An initial research into objective function in geophysical inversion

作　　者：顾汉明[1] 姚姚[1] 

机构地区：[1]中国地质大学物探系

出　　处：《石油地球物理勘探》1991年第6期679-687,共9页Oil Geophysical Prospecting

基　　金：国家自然科学基金

摘　　要：地球物理反演成功的关键之一在于如何利用经验的、先验的和理论的多种信息来确定检验准则,即建立目标函数,使得它包含更多的关于解的信息。鉴于常规目标函数的建立过程没有考虑反演中所用实际资料的可靠程度,以及人们用于比较理论信息与实际信息相似性准则和经验准则中所存在的模糊性,本文以反演地层参数的地震记录为例,引入模糊数学的思想,综合分析影响检验准则的各种因素来建立模糊目标函数。通过对理论模型的验算,模糊目标函数在检验反演结果可靠性方面要比常规目标函数的灵敏度高。One essential for successful geophysical inversion is how we use empirical, prior and theoretical data to determine test criterion or the objective function which includes more informations about solu- tion, In view of neglecting the reliability of real seismic data for inversion in defining an ordinary objective function, and the fuzzy property of both empirical criterion and similarity criterion used to compare theoretical information with real information, we introduce fuzzy mathematical principle and analyse factors affecting the test criterion so as to determine fuzzy objective function for seismic data used in the inversion of formation parameters. The caiculation of theo- retical model shows that the fuzzy objective function is more sensitive than ordinary objective functions in checking the reliability of inversion result.

关 键 词：检验准则 隶属函数 模糊目标函数 

分 类 号：TE13[石油与天然气工程—油气勘探] P618.13[天文地球—矿床学]