Applicability of the Forchheimer equation for non-Darcy flow in porous media
Applicability of the Forchheimer equation for non-Darcy flow in porous media
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DOI：
10.2118/102715-pa
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发表时间：
2008-03-01
期刊：
影响因子：
3.6
通讯作者：
Ayoub, J.
中科院分区：
文献类型：
--
作者：
Huang, H.;Ayoub, J.
水力压裂井中的非达西流动问题近年来引起了激烈的争论。讨论的一个方面涉及Forchheimer方程中的惯性阻力因子，即所谓的beta因子，以及支撑剂充填的beta因子是否应该在实际流量范围内保持恒定。这个问题在van Batenburg和Milton-Tayler（2005）最近的一次讨论以及Barree和Conway（2005）在2005年8月JPT上对SPE 89325论文（Barree和Conway 2004）的回复中得到了强调。这一讨论本质上围绕着Forchheimer方程的适用性，以及Forchheimer方程是否足以描述支撑剂充填中高速流动的实验结果。为了正确地评价这场争论中的论点，并更好地理解多孔介质中非达西流动的总体研究现状，本文回顾了有关Forchheimer方程理论基础的文献和流动型识别的实验工作。这些领域的工作为Forchheimer方程在常规油田支撑剂充填流动测试中的适用性提供了新的见解。还提出了超出福希海默状态的流动模型。
The subject of non-Darcy flow in hydraulically fractured wells has generated intense debates recently. One aspect of the discussion concerns the inertia resistance factor, or the so-called beta factor beta, in the Forchheimer equation, and whether the beta factor beta of a proppant pack should be constant over the range of flow rates of practical interests. The problem was highlighted in a recent discussion by van Batenburg and Milton-Tayler (2005) and the reply by Barree and Conway (2005) regarding paper SPE 89325 (Barree and Conway 2004) in the August 2005 JPT.This discussion in essence revolves around the applicability of the Forchheimer equation and whether the Forchheimer equation is adequate to describe the experimental results of high rate flow in proppant packs. In order to properly assess the arguments in this debate, and to get a better understanding of the state-of-the-art on non-Darcy flow in porous media in general, literature concerning the theoretical basis of the Forchheimer equation and experimental work on the identification of flow regimes is reviewed. These areas of work provide insights into the applicability of the Forchheimer equation to conventional oilfield flow tests for proppant packs. Models for flow beyond the Forchheimer regime are also suggested.