基于高速非达西渗流新模型,建立了考虑井筒储存和表皮系数的均匀介质和双重介质试井模型,并采用有限差分求解。结果表明,无论是均匀介质还是双重介质,考虑高速非达西渗流后,压力曲线上移,压力导数曲线驼峰高度增加并后移,水平段出现的时间延迟。与Forchheimer模型相比,新模型的上升幅度要小。Kmr和TD是决定曲线形态的重要参数,随着TD增大和Kmr减小,压力导数曲线驼峰高度增加幅度增大,压力曲线上移幅度增大。阐述了高速非达西渗流压力降落试井和压力恢复试井的不同,给出了高速非达西渗流压力恢复试井的一种简单解释方法。
Based on a new model which describes the high-velocity non-Darcy fluid flow, well testing models about homoge- neous and double medium were established considering the wellbore storage and skin effect. Then, all the models were solved by finite difference method. Results show that when considering the high-velocity non-Darcy flow, the pressure curves will move up and the pressure derivative curves will have a transportation hump and move back, time delay appear in the horizontal section. Compared with the Forchheimer model, the curves of the new model have smaller upward movement. Kmr and tD are two significant factors to determine both pressure and pressure derivative curves morphology. The transportation hump of the pressure curves increases with the decrease of Kmr and increase of tD and the pressure derivative curves have a bigger upward movement. At last, the difference between the drawdown test and build-up test based on high-velocity Non-Darcy flow is clarified and a simple interpretation method is given for buildup test.