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本文针对湍流效应对裂缝井的产出率(或注入率)的影响作了系统的分析。研究的广度远远超过了前人,并且阐明了前人的局限性。基于垂直裂缝井的一种简单几何模型的2000多种高精度的数值解,建立起一种新的关系式。基本方程是为完全射开的裂缝而建立的,并且它也适用于液体和高压气体体系。适用于完全射开的裂缝的一般方程是两个无量纲参数和两个其他参数的函数,后者可以选用裂缝的导流能力和渗透率。研究结果还包括部分射孔对完全压开的裂缝的影响。作为一个局限性范例,此种模式也适用于横向压开的水平井。因此最终的方程涉及到5个变量。传统的观念认为湍流效应只有在高产量的气井中才显著,研究结果表明这种观点通常是错误的。对于部分射开的高渗透层中的液流,湍流效应在产出率或注入率方面影响显著,并且这种影响在横向压开的水平井中尤为突出。
This paper systematically analyzes the effect of turbulence on the productivity (or injection rate) of fractured wells. The breadth of the study far exceeds that of its predecessors and illustrates the limitations of the predecessors. A new relation is established based on more than 2000 numerical solutions of a simple geometric model of vertical fractured wells. The basic equation is established for a complete burst of fractures and it also applies to liquid and high pressure gas systems. The general equation for fractures that are fully shot open is a function of two dimensionless parameters and two other parameters, which can be selected for the fracture conductivity and permeability. The results of the study also include the effect of partial perforation on a fully compressed fracture. As a limited example, this mode is also applicable to horizontal pressure horizontal wells. So the final equation involves five variables. The conventional wisdom is that turbulence is only significant in high-volume gas wells and the findings suggest that this is often the wrong idea. Turbulence effects have a significant effect on yield or injection rates for partially jetted high permeable layers, and this effect is particularly pronounced in laterally fractured horizontal wells.