渗流-水平井流耦合数学模型和数值模拟

在有侧向流入(流出)的水平井流运动和连续性方程的基础上,建立了渗流与水平井流耦合数学模型,主要针对混合水头损失问题,进行了渗流与水平井流耦合数值计算,分析了常用的摩擦系数修正方法对计算结果的影响。数值模拟计算表明:层流或者光滑紊流流态时,不同的摩擦系数修正方法对结果影响较小;粗糙紊流流态时,不同的摩擦系数修正方法对结果影响较大。当水平井流是层流-光滑紊流流态时,使用了一种新的流态分界点识别方法对水平井流态进行判断,计算结果证实了方法的可靠性、合理性。

A coupled seepage-horizontal well flow model and numerical experiments

The coupled mathematical model of seepage and the horizontal well flow is established based on the motion and continuity equations of the horizontal well flow with the lateral inflow and outflow, and used to calculate numerically the mixed head loss of two flows. The effect of the frequent modified method of friction coefficient on the calculation results is analyzed. The results show that there exists little effect on calculation results as for the laminar or smooth turbulent flow, but great effect as for rough turbulent flow. Furthermore, for the laminar or smooth turbulent flow, a new method for determining the demarcation point of flow pattern is proposed to judge the pattern of the horizontal well flow. And the calculation results show that this method is reliable and reasonable.