射孔水平井中地层流体的流动是符合达西定律的,但水平井射孔工艺、完井方式以及井位等因素的影响,比垂直井复杂。本文将射孔后的流动看成线源,根据Newman乘积原理,用Green函数的方法得到井底压力解析解。在此基础上,将射孔时的地层压实和井壁污染用表皮来表示,并考虑井筒存储,得Laplace空间上的表达,最后用Laplace数值反演得到时空间上的解,利用该解可以有效预测水平井的产能。
The fluid flow in the formation after being perforated of the horizontal well is matched Darcy Law, but the mechanics is more difficult than the vertical well because of the manner of perforated and completions, the location of the horizontal well and so on. A linearity solution is gained after the flow in the perforated formation is considered as a linearity source, and the analytical solution to the bottom pressure of the well is submitted by the method of ruler of Newman Multiplication and the way of Green Function. The expression of Laplace space is presented when the formation damage and crushed-zone after being perforated are expressed with skin factor model, including of wellbore storage. A new arithmetic of Laplace numerical is presented to find the solution of real place, and based on that, the productivity of the perforated horizontal well can be validly evaluated.