Abstract: In this paper,the problem of fluids flow in a bounded fractal reservoir with double porosity is considered.The exact solutions are obtained by using decomposition principal and Bessel function orthogonality for constant rate production inner boundary condition and bounded formation cases.Both closed and constant pressure outer boundary conditions are considered.Pressure behavior characteristics are also studied by using Laplace numerical inversion method and approximate analytical solution.The senstivity of system response to fractal parameter and crossflow parameter are examined in detail.We make a comparison between approximate analytical solution and Laplace numerical inversion solution,moreover,the simulation between these solution are best match.Pressure transient analysis can be studied by using approximate analytical solution.Approximate analytical solution can be used in well test analysis,and application of these pressure solutions in well test analysis provides a new way for oil reservoir engineering and the mechanics of fluids flow through porous media.

Key words: fractal, double porosity, exact solution, pressure transient analysis

摘要： 对一类双重介质分形油藏渗流问题进行了研究,根据分解原理和Bessel函数正交性求出了定产量生产时有界封闭地层和有界定压地层的精确解,利用拉氏变换数值反演方法和近似解析解研究了压力动态特征,分析了分形参数,储容系数和窜流系数对压力动态的敏感性.并比较了近似解析解和拉氏数值反演解之间的拟合情况,说明在一般情况下可利用近似解析解进行压力分析,使得近似解析解可在具体试井分析中使用.从而为油藏工程和渗流力学试井分析提供了一种新方法.

关键词: 分形, 双重介质, 精确解, 压力不稳定分析