西南石油大学学报(自然科学版) ›› 1996, Vol. 18 ›› Issue (4): 57-61.DOI: 10.3863/j.issn.1000-2634.1996.04.011

• 油气田开发 • 上一篇    下一篇

井筒热流体循环的数学模型及其解析解

赵刚 马远乐 鲁港   

  1. 清华大学
  • 收稿日期:1996-09-18 修回日期:1900-01-01 出版日期:1996-11-20 发布日期:1996-11-20

Mathematical Model of Wellbore Hot Fluid Circulation and Its Analytical Solution

Zhao Gang Ma Yuan-le Lu gang   

  1. Nuclear Technology Design Institute of Qinghua University
  • Received:1996-09-18 Revised:1900-01-01 Online:1996-11-20 Published:1996-11-20

摘要: 井筒热流体循环是适用于开采高凝固点、高粘度原油的一种实用技术。它的数学模型是
具有半隐式边界条件的常微分非线性方程组。通常使用的打靶法和共轭函数法不太适合于求
解该方程组。在研究中,我们得到了其解析解,并讨论了参数处理和程序设计等应用中遇到的
问题。本方法可用于油田开发方案设计和将低温核供热堆应用于油田的可行性研究。

关键词: 高凝原油, 稠油, 数学模型, 井筒, 热液循环

Abstract: Wellbore hot fluid circulation is a practical technology suitable for the production of high pour-point and high viscosity oil. Its mathematical model is a normal differential and non-linear equation group under the condition of half-consealed edge. The common way of target or conjugate function is not suitable for the solution of this equation group. However, we obtained its analytical solution during the research. The problem of the application of parameter processing and program designing are discussed. This method can be used in project designing of oil field development and the feasibility study of applying the low-temperature heating nuclear to oil fields.

Key words: High pour-point oil, Heavy oil, Mathematical model, Wellbore, Hot water circulation

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