Lagrange插值对相渗曲线归一化方法的改进——以M油田相渗曲线为例  

Improvement of normalization method for relative permeability curve by Lagrange interpolation

作　　者：路强 任宜伟 尹彦君 张震 王中华 陈秋月 LU Qiang;REN Yiwei;YIN Yanjun;ZHANG Zhen;WANG Zhonghua;CHEN Qiuyue(Engineering Technology Company of CNOOC Energy Development Co.,Ltd.,Tianjin 300457,China)

机构地区：[1]中海油能源发展股份有限公司工程技术分公司,天津300457

出　　处：《石油地质与工程》2023年第5期65-69,共5页Petroleum Geology and Engineering

基　　金：中海油能源发展有限公司重大专项“南海油田增储上产配套技术研究与应用(Ⅰ期)”课题2“油藏优势通道定量描述与时变表征技术研究”(HFZDZX-GJ2020-02-02)。

摘　　要：多条曲线直接平均法是相渗曲线归一化处理的一种常用方法,针对平均法处理相渗曲线时,线性插值造成的曲线不光滑问题,提出利用Lagrange插值进行改进。结果表明,典型相渗曲线形态与多项式曲线形态相似,典型相渗曲线的插值结果和M油田实验数据插值结果进行对比,Lagrange插值法处理得到的曲线不仅精度更高,而且更光滑,Lagrange插值改进的平均法对油水相渗曲线具有更好的归一化效果,对油藏合理开发具有重要意义。A direct average method of multiple curves is a commonly used method for normalizing permeability curves.To solve the problem of unsmooth curve caused by linear interpolation when the average method is used to process relative permeability curve,Lagrange interpolation is proposed to improve it.The results show that the typical permeability curve shape is similar to the polynomial curve shape.When the interpolation results of the typical permeability curve are compared with the interpolation results of M oilfield experimental data,the curve processed by the Lagrange interpolation method not only has higher accuracy but also is smoother.The average method improved by Lagrange interpolation has a better normalization effect on the oil-water permeability curve,which is good for the rational development of oil reservoirs.

关 键 词：相对渗透率曲线 相渗曲线分类 相渗曲线归一化 LAGRANGE插值 线性插值 

分 类 号：TE34[石油与天然气工程—油气田开发工程]