新疆石油地质

新疆石油地质 ›› 2004, Vol. 25 ›› Issue (1): 165-167.

• 油藏工程 • 上一篇    下一篇

高速气体非达西渗流数学模型

张烈辉1, 朱水桥2, 王坤2, 周林2   

  1. 1.西南石油学院,“油气藏地质及开发工程”国家重点实验室四川,成都610500;
    2.中国石油新疆油田分公司， 新疆,克拉玛依834000
  • 收稿日期:2003-07-22 出版日期:2004-02-01 发布日期:2020-08-14
  • 作者简介:张烈辉(1967-),男,四川仁寿人,教授,博士生导师，油气藏工程。联系电话:028-83032735
  • 基金资助:
    国家教育部优秀青年教师教学科研奖励计划(编号TRAPOYT)资助

A Mathematic Model for Non-Darcy Flow at High Flow Rate

ZHANG Lie-hui1, ZHU Shui-qiao2, WANG Kun2, ZHOU Lin2   

  1. 1. Southwest Petroleum Institute, Chengdu, Sichuan 610500, China;
    2. Xinjiang Oilfield Company, PetroChina, Karamay, Xinjiang 834000, China
  • Received:2003-07-22 Online:2004-02-01 Published:2020-08-14

摘要： 对达西行为的描述出发点是基于 1901年Forchheimer 提出的一个经典方程,即 Forchheimer 方程,利用该方程来弥补流体高速流动时达西定律的不足。在该方程中增加了一个非达西项到达西方程中以考虑达西方程的缺陷。非达西项是非达西系数流体密度和流速平方的乘积。在确定非达西效应时一个最重要的方面是尽可能准确地估计非达西系数。为此，在大量文献研究的基础上，在对高速气体渗流时非达西行为的产生原因和目前各种非达西效应的数学描述进行分析的基础上,建立了非达西系数的求取通式。并且该通式适用的储集层类型、渗透率范围较大。进一步建立了一个新型的全隐式三维气藏渗流数学模型.该模型能有效地考虑高速气体渗流时的非达西现象。模型采用正交极小化方法求解代数方程组。速度快稳定性好，

关键词: 渗流, 高速, 非达西流, 数学模型, 达西定律

Abstract: Forchheimer's Equation,a classical equation put forward by Forchheimer in 1901,has been used for offset the deficiency of Darcy's law at high flow rate by way of adding a non-Darcy term into Darcy's law.This term is a product among the non-Darcy coefficient, the fluid density and the square of flow velocity. To estimate the non-Darcy coefficient as accurately aspossible is one of the most important aspect for determination of non-Darcy effects. This paper establishes a new fully implicit 3-D gas reservoir mathematic model with multiple types of reservoirs and scopes of permeability based on study of a great numberof literatures and analysis of mathematic descriptions of various non-Darcy effects.In this model, the non-Darcy effect of gas athigh flow rate can be more effectively concerned about. In addition, using OrthoMin method to solve the algebraic equation seriesis quick in speed and reliable in stability.

Key words: percolation, non-Darcy flow, mathematic model, Darcy's law

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