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应力敏感性双重介质油藏不稳定渗流的边界元分析
Boundary Element Analysis on Unsteady Percolation of Dual-porosity Reservoir with Stress Sensitivity
【摘要】 基于渗透率随压力呈指数变化规律,建立了任意形状应力敏感性双重介质油藏不稳定渗流的数学模型。采用正则摄动法对控制方程进行处理,并利用边界元方法获得油藏内任意点的压力,进而由杜哈美原理得到了考虑井筒储存和表皮效应的井底压力。绘制了考虑渗透率模数、复杂边界以及油藏内存在不渗透区域等因素影响的井底不稳定压力典型曲线,并分析了曲线特征。
【Abstract】 Based on the law of permeability changing with pressure, a mathematical model is established for unsteady percolation in dual-porosity reservoirs with arbitrary shape of stress sensitivity. A regular perturbation method is used to process the control equation and boundary element method is used to obtain pressure on arbitrary point within the reservoir, wellbore pressure with skin effect and wellbore storage is derived by Duhamel principle,a typical curve of unsteady pressure is plotted, which includes the factors of permeability, complex boundary conditions and non-permeable area, and property of the curve is also analyzed.
【Key words】 stress sensitivity; dual medium boundary element; unsteady percolation; mathematical model; typical curve;
- 【文献出处】 石油天然气学报(江汉石油学院学报) ,Journal of Oil and Gas Technology , 编辑部邮箱 ,2006年03期
- 【分类号】TE311
- 【被引频次】4
- 【下载频次】212