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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
Based on the decomposition principle and the orthogonality of the Bessel function, the exact solutions of the bounded closed formations and the bounded pressure formations in a fixed-volume production are obtained. Based on Laplace transform numerical inversion Method and approximate analytic solution, the dynamic characteristics of pressure are studied. The fractal parameters, the storage coefficient and the channeling coefficient are analyzed for their sensitivity to pressure dynamics. The fitting between approximate analytic solution and Lagrange numerical inversion solution is compared. It is shown that under normal circumstances, approximate analytic solution can be used for pressure analysis, so that approximate analytical solution can be used in specific well test analysis. This provides a new method for well test analysis of reservoir engineering and seepage mechanics