不同孔渗关系模型对比  

Comparison of different pore permeability relationship models

作　　者：李郑辰[1] Li Zhengchen

机构地区：[1]大庆油田有限责任公司勘探开发研究院多资源协同陆相页岩油绿色开采全国重点实验室

出　　处：《国外测井技术》2024年第4期41-45,2,共6页World Well Logging Technology

摘　　要：为了解决空气渗透率与有效孔隙度回归模型斜率偏低、计算结果范围偏小的问题,分析了线性回归模型的特点,对比了自变量、因变量交换以后线性回归模型的变化,提出了二种改进的几何解法并推导了对应的算法。一是应用二条回归直线的角平分线计算渗透率的“角平分线法”模型;二是基于“样品点到关系线距离平方和最小”假设的模型。应用本文提出的孔渗关系模型,可以部分解决回归模型斜率偏低、计算结果范围偏小的问题;其中“样品点到关系线距离最小”模型可推广到多元函数。本文为依据有效孔隙度计算空气渗透率的提供了二种新算法。In order to solve the problems of low slope of air permeability and effective porosity and small range of effective porosity regression model,the characteristics of the linear regression model are analyzed,the changes of the linear regression model after the exchange of independent and dependent variables are compared,and two improved geometric solutions are proposed and the corresponding algorithm is derived.First,the"angular bisector"model based on the angular bisector of two regression lines;the second is the model based on the assumption that the distance is minimum.Using the model,the problem of low slope and the model with the minimum distance can be extended to multivariate function.This paper provides two new algorithms for calculating the air permeability based on the effective porosity.

关 键 词：空气渗透率 有效孔隙度 孔渗关系 线性回归 

分 类 号：G63[文化科学—教育学]