内、外边界定压条件下地层压力的解

Reservoir pressure solutions subject to constant pressure boundary conditions at the inner and outer boundaries

本文在内、外边界定压的条件下得到了平面单向流和平面径向流两种渗流形式在拉氏空间的解析解,利用Ste hfest数值反演方法给出了地层各点的压力分布曲线,由这些曲线可以清楚地看到流体的流动由不稳态流向稳态流过渡以及最后达到稳态流的过程。本文给出的压力解可用于准确预测油井(或水井)由开井达到稳定生产所需要的最小时间,同时也是对油藏渗流力学基础理论的一个有意义的补充。

In this paper, the analytical solutions of reservoir pressure in Laplace space are developed for planar linear flow and radial flow under the condition of constant pressure at inner and outer boundaries, and the pressure distribution curves in some point in the reservoir are obtained using Stehfest numerical inversion algorithm of Laplace transforms. These curves demonstrate clearly the process from transient flow to the steady flow. The pressure solutions derived in this paper can be used to estimate the minimum elapsed time for a well from opening to steady production, it is also a significant complement to the basic theory of the fluid flow through porous media.