分形双孔介质油藏试井分析解的相似结构  

Similar Structure of Pressure Distribution in the Fractal Dual Porosity Reservoir

作　　者：李顺初[1] 张建军[2] 

机构地区：[1]西华大学应用数学研究所,四川成都610039 [2]西南石油学院计算机科学学院,四川南充637001

出　　处：《西华大学学报（自然科学版）》2006年第1期40-43,共4页Journal of Xihua University:Natural Science Edition

基　　金：国家"九五"重点攻关项目(96-111-03-01-07)

摘　　要：针对分形双孔介质油藏,建立了考虑井筒储集、表皮效应和三种外边界(无穷大、定压、封闭)条件下的试井分析模型;利用Laplace变换,在Laplace空间中得到了储层压力和井底压力分布的精确解;经全面和深入的分析,发现了描述该类油藏在三种外边界条件下的渗流特征的解式之间具有的相似结构,并作了进一步的讨论。This paper proposes a mathematic model for well test analysis of perfectly describing the fractal dual porosity reservoir with the bottom-hole storage and the skin effects and the three kinds of outer boundary conditions(infinite boundary,constant pressure outer boundary and closed boundary).By using the Laplace transform method,the solution to the dimensionless pressure and dimensionless bottom-hole pressure in Laplace space is attained.The similar structure of the solution's form in the three kinds of outer boundary conditions is found through deep analyses of its characteristics.Further discussion is taken.The research is convenient for developing well test analysis program,and has a profound significance in flow theory for fluids in porous media.

关 键 词：分形双孔介质油藏 井筒储集 表皮效应 外边界条件 LAPLACE空间解 相似结构 

分 类 号：O29[理学—应用数学] O357.3[理学—数学]