基于相似结构的多层油藏非线性渗流模型解  

Similar structure-based solution to nonlinear seepage model for multilayer reservoir

作　　者：李顺初[1] 王强[1] 郑鹏社[1] 桂钦民 

机构地区：[1]西华大学应用数学研究所,成都610039 [2]北京东润科石油技术股份有限公司,北京100029

出　　处：《黑龙江大学自然科学学报》2016年第1期23-27,共5页Journal of Natural Science of Heilongjiang University

基　　金：四川省科技厅2015年第一批科技计划项目(2015JY0245);四川省教育厅自然科学重点项目(12ZA164);数字空间安全保障实验室项目(szjj2014-080)

摘　　要：针对多层油藏,考虑井筒储集和二次梯度项的影响,在三种不同的外边界(无穷大、封闭、定压)条件下,建立多层油藏渗流模型。通过对模型的线性化,经过Laplace变换,得到线性化后在Laplace空间下储层压力分布的精确解;经过分析,构造三种外边界条件下解的相似核函数,进而得到线性化后储层压力分布的Laplace空间解的相似结构。此项研究对多层油藏试井分析的理论探索提供了一种方法,并且极大地方便了编制多层油藏试井分析软件,同时有利于提高对多层油藏渗流规律的认识。On the basis of multilayer reservoir,the seepage model is set up under three kinds of outer boundary conditions（infinite;closed;constant pressure） for multilayer reservoir,in which the influence of wellbore storage and quadratic gradient term is taken into consideration.The exact solution of reservoir pressure distribution is obtained by linearization and Laplace transform in Laplace space for seepage model,and then similar structure of solution of reservoir pressure distribution is obtained by constructing similar kernel function in Laplace space for seepage model.This research provides a method for theoretical exploration of well test analysis in multilayer reservoir,and it also provides great convenience for orchestration of well test analysis software in multilayer reservoir,it is helpful to understand of seepage law for multilayer reservoir at the same time.

关 键 词：多层油藏 二次梯度 线性化 相似核函数 相似结构 

分 类 号：O29[理学—应用数学] TE3[理学—数学]