关于二段直线法的改进与理论推导  

Improvement and Theoretical Deduction of Two Straight Lines Method

作　　者：莫爱国[1] 匡力[1] 张继成[1] 

机构地区：[1]东北石油大学石油工程学院,黑龙江大庆163318

出　　处：《数学的实践与认识》2017年第16期114-120,共7页Mathematics in Practice and Theory

摘　　要：为了解决利用甲型水驱特征曲线预测高含水期开发指标时存在较大误差的问题,利用高含水期相对渗透率比与含水饱和度关系曲线近似呈直线的特点,对相渗比曲线的高含水弯折段进行了线性拟合;基于得到的直线方程,结合相关油藏工程理论,验证了甲型水驱特征曲线在高含水开发期会发生偏折,且偏折后的线呈直线,并推导了第二直线段的方程.利用实际相渗曲线以及生产数据,得到了第二直线段的方程,并预测了开发指标,其与实际生产数据的年平均误差控制在了0.11%以内,精度较高,比直接应用甲型水驱特征曲线进行指标预测的结果更好.There are big errors when type-A water flooding characteristic curve is utilized to predict development index of water flooding oilfield during high water cut period. A method called two straight lines method which is proposed by Gao Li, is a effective method to solve this problem. But this method hasn＇t been deduced by related theory and been testified by actual data. A method evolved from Ga~ Lis＇ method to predict development index of water flooding oilfield during high water cut period is proposed in this paper. This method contains three steps. Firstly, a linear curve is matched by the bending section of relative permeability ratio curve. Secondly, the fact that type-A water flooding characteristic curve in the high water stage will deviate from the first line to the second one is testified. Then the equation of second line of type-A water flooding characteristic curve is deduced by the first one with related mathematical method. Thirdly, the development index is predicted by equation of second line when actual data was pluged. Results show that the annual average error of predicted data is less than 0.11%, which is better than the prediction of first line of type-A water flooding characteristic curve.

关 键 词：高含水油田 开发指标预测 数学推导 改进的二段直线法 

分 类 号：TE357.6[石油与天然气工程—油气田开发工程]