基于相似结构的双孔油藏非线性渗流模型研究(英文)  

Study of the Nonlinear Fluid Flow Model in Dual-porosity Media Reservoir Based on Similar Structure

作　　者：李全勇[1] 李顺初[1] 李伟[2] 王俊超[1] 

机构地区：[1]西华大学应用数学研究所,成都610039 [2]西南石油大学油气藏地质与开发工程国家重点实验室,成都610500

出　　处：《工程数学学报》2013年第1期123-130,共8页Chinese Journal of Engineering Mathematics

基　　金：The National Science & Technology of the Key Projects(2008ZX50443-14);Natural Science Key Projects of the Sichuan Education Bureau of China(12ZA164);Innovation Fund of Xihua University(YCJJ2009-16)

摘　　要：根据油气藏的渗流机理,建立了考虑二次压力梯度项、有效井筒半径、井筒储集的变流率生产状态下的双孔油藏非线性渗流模型.利用Laplace变换和合理的近似处理,获得了无量纲地层压力和井底流压的Laplace空间解的相似结构(只与内边界条件有关)和相似核函数(相似核函数与渗流定解方程的基础解系及外边界条件有关,不同外边界条件对应于不同的相似核函数,且与内边界条件无关).此项研究揭示了双孔油藏中流体渗流的本质特征,为深入研究该类油藏的非线性渗流规律提供了又一个理论分析方法,也方便了相应的试井分析软件的快捷地编制,具有广泛的应用前景.According to the principle of the fluid flow in porous media of oil reservoir, by taking the quadratic-gradient term, effective well bore radius and well bore storage into consideration, the nonlinear fluid flow mathematical model for dual-porosity media reservoir is established in the case of the variable flow-rate. By using the Laplace transform and reasonable approximate process, the similar structure （which is only determined by the inner boundary conditions） of dimensionless reservoir pressure and bottom hole flowing pressure and similar kernel functions （which are only in connection with basic solution set of the definite solution problem and outer boundary conditions and furthermore different outer boundary conditions correspond to different similar kernel functions, having nothing common with inner boundary conditions） are obtained in Laplace space. This study not only reveals essential characteristic of fluid flow in dual-porosity media, but also provides a new analytical theory for studying in depth the nonlinear fluid flow law of this kind of reservoir. Furthermore, it greatly facilitates programing relevant well test analysis software as well, which is potentially useful in more extensive applications.

关 键 词：双孔油藏 二次压力梯度 有效井筒半径 井筒储集 LAPLACE变换 相似结构 核函数 

分 类 号：O29[理学—应用数学] TE353[理学—数学]