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电阻率-孔隙度、电阻率-含油(气)饱和度关系的一般形式及其最佳逼近函数类型的确定(Ⅰ)
引用本文:李宁.电阻率-孔隙度、电阻率-含油(气)饱和度关系的一般形式及其最佳逼近函数类型的确定(Ⅰ)[J].地球物理学报,1989,32(5):580-592.
作者姓名:李宁
作者单位:石油勘探开发科学研究院研究生部 北京
摘    要:本文导出了电阻率-孔隙度、电阻率-含油(气)饱和度关系的一般形式--两个对称的表达式,并给予了实验证明。同时,本文指出,Archie公式、Winsauer公式和双水公式都是一般形式在一定条件下的特例。在一般情况下,本文给出了14个能够逼近这两个表达式的函数类型,通过岩芯数据进行选优,可以得到适合不同地区或地层的最优方程。根据本文理论建立的解释方法和研制的软件已经在油田生产中推广应用并取得了良好效果。 由于涉及内容较多,全文分两部分撰写。以下是本文的第(Ⅰ)部分,即一般形式的导出及实验验证;而最佳函数类型的确定及其在生产中的应用将作为本文的第(Ⅱ)部分发表。

关 键 词:油气饱和度  R0-&phi  、Rt-S0关系的一般形式  最佳逼近函数类型  
收稿时间:1988-09-13

GENERAL FORMS OF THE RESISTIVITY-POROSITY AND RESISTIVITY-OIL/GAS SATURATION RELATIONS,AS WELL AS THE DETERMINATION OF THEIR OPTIMUM APPROXIMATING FUNCTION TYPES (I)
LI NING.GENERAL FORMS OF THE RESISTIVITY-POROSITY AND RESISTIVITY-OIL/GAS SATURATION RELATIONS,AS WELL AS THE DETERMINATION OF THEIR OPTIMUM APPROXIMATING FUNCTION TYPES (I)[J].Chinese Journal of Geophysics,1989,32(5):580-592.
Authors:LI NING
Institution:Graduate School, Research Institute of Petroleum Exploration and Development, Beijing
Abstract:The general forms of the resistivity-porosity (R0-φ) and the resistivity-oil/gas saturation ,(Rt-S0) relations are derived in this paper. It can be seen that they are two symmetric fractional polynomials. At the same time, the paper points out that the various R0-φ, Rt-S0 equations so far having been known, such as Archie's equation, Winsauer's equation, Waxman-Smits' equation and Clavier's equation, etc., are all special cases of the general forms under certain conditions. So that, the general forms are suitable for various formations, which has been proved by our application in seven oil fields in China.The present paper is the first part of our paper which discusses only the theoretical basis of the general forms. The forthcoming second part will deal with the application of the general forms in the calculation of oil/gas saturation.
Keywords:Oil/gas saturation  General forms of R0-&phi  and Rt-S0 relations  Optimum approvimating function types  
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