考虑井筒流动的垂直裂缝井稳态产能计算模型

由保角变换原理,将带垂直裂缝的油井渗流问题,转化为易于求解的单向渗流问题,然后由达西定律、质量守恒定律和压力耦合原理,通过微元体流动分析,导出了油藏-裂缝系统内压力所满足的二阶微分方程,进而导出无限导流和有限导流垂直裂缝井的产能计算公式。在此基础上,又建立了考虑垂向井街流动的计算模型。这是油藏-裂缝系统中的渗流和井筒中变质量管流的耦合模型,因而会更符合实际情况。最后,用矿场实例进行了验证,表明计算结果可靠,且方法简单、快捷,便于工程应用。

Reckon Model of Stable State Oil Rate of Vertical Fracture Well With Wellbore Flow

The seepage flowing pattern of an oil well with a hydraulic fracture is transferred to a simple single direction flowing one by using the method of conformal transformation. After that, a 2th pressure differential equation of seepage flowing with a character of changeable quality in fracture is derived on the basis of seepage flowing analysis of micro- element and of material balance theory as well as darcy's law. What's more, the theory of pressure coupling (the pressure is equivalent at the joint of the fracture and the matrix) is also used. Therefore, an equation of estimating oil rate of a hydraulic fracturing well is available which has a various fracture length and conductivity (finite and infinite). Compared with are classical charts and the real postfracturing performance, excellent agreements can be abstained. Furthermore, it is not only simple but also feasible, so that it can be put into field application expediently.