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不仅考虑低渗透油藏具有启动压力梯度的渗流特征,还考虑应力敏感地层中介质的变形;发展了Cinco-Ley H.提出的有限导流垂直裂缝井双线性流理论,将流体在垂直裂缝与地层中形成的流动划分为两个区域—垂直裂缝中的线性流区域和变形三重介质低渗透油藏中的非线性流区域;由此建立了变形三重介质低渗透油藏有限导流垂直裂缝井的非线性流动模型。鉴于该模型的强非线性,采用稳定的有限差分格式求得其数值解,并将数值结果绘制成试井样板曲线。将数值结果与以往模型进行对比验证了本文模型研究的必要性。另外,还讨论了垂直裂缝井无因次导流能力、无因次启动压力梯度、变形系数、三重介质参数、井筒储集系数对无因次井底压力及压力导数的敏感性影响。
Considering not only the percolation characteristics of the low permeability reservoir with the start-up pressure gradient but also the deformation of the medium in the stress-sensitive formation, the bilinear flow theory of finite conductivity vertical fracture wells proposed by Cinco-Ley H. was developed. And the formation of flow in the strata are divided into two regions - the linear flow region in the vertical fracture and the non-linear flow region in the deformed three-medium low-permeability reservoir; thus the finite conductivity vertical fracture of the deformed triple-medium low permeability reservoir is established Well Nonlinear Flow Model. In view of the strong nonlinearity of the model, a stable finite difference scheme is used to obtain the numerical solution, and the numerical results are plotted as the well test curve. The numerical results with the previous model to verify the necessity of the model of this paper. In addition, the effect of non-dimensional diversion ability, non-dimensional start-up pressure gradient, deformation coefficient, triple media parameters and wellbore storage coefficient on dimensionless bottomhole pressure and pressure derivative are also discussed.