西南石油大学学报(自然科学版) ›› 2002, Vol. 24 ›› Issue (3): 34-38.DOI: 10.3863/j.issn.1000-2634.2002.03.010

• 石油工程 • 上一篇    下一篇

基于全微分表示的组分模拟新方法

刘昌贵 李士伦 孙雷 周守信

  

  1. (西南石油学院,四川 南充 637001)
  • 收稿日期:2001-05-15 修回日期:1900-01-01 出版日期:2002-06-30 发布日期:2002-06-30
  • 通讯作者: 刘昌贵

A NEW APPROACH TO COMPOSITIONL SIMULATION FORMULATIONED BY FULLY DIFFERENTIAL METHOD

LIU Chang-gui LI Shi-lun SUN Lei, et al. 
  

  1. (Southwest Petroleum Institute, Nanchong Sichuan 637001, China)
  • Received:2001-05-15 Revised:1900-01-01 Online:2002-06-30 Published:2002-06-30
  • Contact: LIU Chang-gui

摘要: 首先把多组分数学模型表示成关于各求解变量的全微分形式,然后用全微分量表示了它的数值模型。该方法先微分、再离散,并且保留了二阶微分量,在累积项的处理上严格地区别于全隐式方法,因而是一种全新的组分模拟方法。这一方法的基本出发点是,把各求解变量的微分视为称做基本微分单元的新变量,于是所有变量的微分都可以表示成基本微分单元的代数和形式。变量的微分量是该变量的一个微分改变量,它由于各求解变量的共同作用而引起。求解差分方程组的过程就是通过求取基本微分单元的不同取值逐步地改进各求解变量。

关键词: 油藏模拟, 多组分模型, 方法研究, 全微分法, 基本微分单元

Abstract: The paper describes a new approach to reservoir simula-tion, the formulations in multi-component reservoir simulation model are firstly expressed as fully differential form on unknown variables, then are dispersed as numerical difference equations on these variables. The basic viewpoint is that all unknown variables’differences are regarded as new variables of singular
differences cells, and then all variables’differences can be expressed as the algebra sum of the cells.The differential variables of the variables are the differentially changing variables of the variables, which is derived from common solution of the variables. The iteration procedure of solving these difference equations will be improved on all unknown variables through using value of the cells step by step.

Key words: reservoir simulation, multi-component model, fully differential method, singular difference cells

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