Transient Pressure of Percolation Through One Dimension Porous Media with Threshold Pressure Gradient
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摘要: 考虑启动压力梯度的影响,本文得到了在一维低渗透岩心和圆形油藏中一开一关渗流的数学方程,并进行有动边界问题的数值求解。以数值解为基础,分析了:1.渗流终态时井底(或岩心采液端)压力及压力影响半径(或距离)与启动压力梯度和关闭时间的关系,并给出相应的公式;2.压力峰值的传播规律。得到了有意义的结果,为低渗透油藏开发室内实验和现场应用提供理论基础。Abstract: This paper studies the transient pressure of percolation during one production and one shutting in one dimension porous media with threshold pressure gradient. The differential equations are derived and solved with numerical computation. Basing on numerical solution, It is analyzed that:1.the relation between the steady pressure at well bore (or at endpoint) and threshold pressure gradient shut-in time, and the correspondent formulae are derived;2.the regulation of transient pressure peak. The result is very useful and will help experiments and applications in development of the low permeadility reservoir with threshold pressure gradient.
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