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针对低渗透油藏不再符合线性达西定律的情况,考虑启动压力梯度和动边界共同影响,建立了带井筒存储和表皮效应的三重介质低渗油藏非达西非稳态渗流模型.鉴于数学模型的非线性和非齐次性,通过引入新定义的无量纲压力线性化压力扩散方程,采用Laplace变换结合Ste-hfest数值反演方法,研究了启动压力梯度、溶洞窜流系数、基质窜流系数、裂缝储容比和溶洞与基质储容比之比等敏感参数对无量纲井底压力和压力导数曲线的影响规律.结果表明:无量纲启动压力梯度为0时,压力导数具有无限大外边界的水平径向流特征,随着无量纲启动压力梯度的增大,压力导数曲线中后期上翘幅度越大.
Considering that the low permeability reservoir no longer conforms to the linear Darcy’s law, a non-Darcy unsteady flow model of three-medium low permeability reservoir with wellbore storage and skin effect is established considering the combination of initial pressure gradient and moving boundary. The non-linearity and non-homogeneity of the model are studied by introducing the newly defined non-dimensional pressure linearized pressure diffusion equation and the Laplace transform combined with the Ste-hfest numerical inversion method. The influences of the starting pressure gradient, the cavity channeling coefficient, The results show that the pressure derivative has infinite infinity when the non-dimensional starting pressure gradient is 0 Boundary of the horizontal radial flow characteristics, with the non-dimensional start pressure gradient increases, the pressure derivative curve in the late uprising greater.