西南石油大学学报(自然科学版) ›› 2004, Vol. 26 ›› Issue (3): 37-40.DOI: 10.3863/j.issn.1000-2634.2004.03.010

• 石油与天然气工程 • 上一篇    下一篇

注水井偏微分方程反问题的适定性

吴小庆1 杨旭2 杜宁3 胡其华1
  

  1. (1.西南石油学院计算机科学学院,四川南充637001; 2.西南石油学院化学化工学院; 3.西华师大经济系)
  • 收稿日期:2003-05-09 修回日期:1900-01-01 出版日期:2004-06-20 发布日期:2004-06-20
  • 通讯作者: 吴小庆

THE POSEDNESS OF INVERSE PROBLEM IN PARTIAL DIFFERENTIAL EQUATION WITH WATER INJECTION WELL

WU Xiao-qing1 YANG Xu2 DU Ning3 et al.


  

  1. (Southwest Petroleum Institute, Chengdu Sichuan 610500, China)
  • Received:2003-05-09 Revised:1900-01-01 Online:2004-06-20 Published:2004-06-20
  • Contact: WU Xiao-qing

摘要: 建立了注水过程中由于固体颗粒侵入造成地层伤害的非线性偏微分方程反问题模型,讨论了其适定性,证明了反问题拟解的存在性、有界性、定解条件的相容性,为反问题的数值计算提供了理论根据。

关键词: 油田开发, 注水井, 偏微分方程, 反问题, 拟解

Abstract: The nonlinear inverse problem model of water injectionstage for solid instruction and solid blockage is set up and the posedness of the model studied, the proof of the existence of the quasisolution for the model is given.

Key words: field exploration, water injection, partial dif-ferential equation, inverse problem, quasisolution

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