弱可压缩液体单向渗流问题的精确解

An Exact Solution to Single Direction Flow of Slightly Compressible Liquid in a Reservoir

考虑井筒聚集及表皮效应的影响,建立了弱可压缩液体单向渗流的数学模型,利用拉普拉斯变换,导出了半无限大地层条件下的井底压力的精确解,并讨论了井底压力的变化特征。结果表明,井筒聚集效应使得无量纲井底压力减小,而表皮效应使得无量纲井底压力增大。因此,在油田开发及室内岩芯试验所涉及的单向渗流问题中,必须考虑这两种因素,以便消除其引起的偏差。

Taking the wellbore storage and skin effect into consideration, a mathematical model for single direction flow of slightly compressible liquid in a reservoir is established in this paper. The Laplace transformation is used to gain an exact solution of the bottomhole pressure in case of a semi-infinite outer boundary. The exact solution shows that the bottomhole pressure decreases with wellbore storage, and increases with skin effect. The two effects must be considered in solving the problem of single direction flow involved in oilfield development and well testing.