单一直线边界油藏中水平井渗流压力动态分析

THE TRANSIENT PRESSUKE ANALYSIS OF A HORIZONTAL WELL IN AN UNLIMITED RESERVOIR WITH A LINEAR BOUNDARY

以Green函数（瞬时源函数）和Newman乘积解原理为基础，运用镜像反映的方法得出了具有单一直线边界的油藏中水平井修流的压力分布公式，包括水平井与边界呈任意夹角的情况，包括封闭断层和定压边界。并用此解析解对两种特殊情况的压力分布进行数值分析：①单一直线封闭断层（与井筒平行、垂直或是π／4）附近1口D井；②单一直线定压边界（与井筒平行、垂直或π/4）附近1口井。绘出了其压力分布图，并讨论了两类边界及油井方位对水平井生产的影响，定性地得出水平并应平行于单一直线边界布置的结论，为实际的水平并布并提供理论依据。推出了相应的试井公式，分析得出结论：井筒与边界的夹角对典型试非曲线影响不大，而中心距的影响较大。

This paper studies a horizontal well in an unlimited reservoir with a no-flow boundary or a constant pressure boundary, the angle between the horizontal well-bore and the boundary is θ By using Green function, Newman multiplication principle and mirror imaging method, the formulae of transient pressure distribution and well-testing analysis are gained. Using these analytical formulae, we analyze transient pressure distributlons and flow regimes in following cases: (1) in an unlimited reservoir with a no-flow boundary (parallel, vertical or θ= π/4); and (2 ) in an unlimited reservoir with a constant pressure boundary (parallel, vertical or θ =π/4) Some figures of pressure distributions are given and effects of two kinds of boundaries and location of the horizbntal well for production are discussed. A conclusion is that a horizontal well should locate parallel to the boundary. In addition, some well-testing typical curves are also gained, and it is concluded that θ doesn't affect shapes of curves, but the center distance between a horizontal well and a boundary does.