水平段井筒管流的简化模型  

A simplified model of flow in horizontal wellbore.

作　　者：吴淑红[1] 刘翔鹗[1] 郭尚平[1] 

机构地区：[1]中国石油天然气集团公司石油勘探开发科学研究院

出　　处：《石油勘探与开发》1999年第4期64-65,106,共3页Petroleum Exploration and Development

摘　　要：对于水平井井筒的稳定单相流动，提出了水平井井筒管流的“微元段”观点，从而简单实用地解决了井筒内的变质量流问题；根据流体力学和渗流力学理论，给出了水平井井筒管流的“等效渗流”方法，推导了单相流动的层流、紊流和过渡状态时的“等效渗透率”，建立了水平井井筒的“管流等效渗流”模型。当水平井井筒内流动处于层流状态时，等效渗透率仅是井筒半径的函数；当流动处于紊流状态时，等效渗透率不仅是井筒半径的函数，而且与流体性质以及井筒压降有关。经实例分析，模型计算所得的等效渗透率在不同流态时是连续的，避免了流态转化时的数值突变问题，而且模型简单实用，所得到的等效渗流方程与达西渗流方程形式相同，因此，现有的用于处理油藏渗流的技术都可以用在井筒管流中。该模型可以在井筒管流与油藏渗流耦合问题中使用，避免了在耦合过程中使用繁琐的流体力学公式，从而可以降低耦合问题的复杂性，使求解问题变得简单。A “theory of micro element” and equivalent seepage flow was raised to solve the various mass flow of single phase in the horizontal wellbore. Equivalent permeability of laminar flow, turbulent flow and transitional state was derived based on the theory of flow mechanics and seepage flow mechanics. For laminar flow pattern the equivalent permeability is the function of the wellbore radius, whereas for turbulent flow pattern it is related not only to the radius but also to the fluid property and wellbore pressure differential. A case study was make and it tested that the model can derive the continuous equivalent permeability in transitional state without any numerical mutation. In addition, the form of equivalent seepage flow equation derived is similar to that of Darcy flow equation, so the efficient techniques that have been developed for reservoir simulation can readily be used. As a result, the model can be easily applied in the coupling of wellbore flow and reservoir flow without using any complex fluid mechanics formula, which simplifies the solution of the coupling.

关 键 词：水平段 井筒管流 简化模型 水平井 油藏模拟 

分 类 号：TE312[石油与天然气工程—油气田开发工程]