Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (10): 1277-1283 .

• 论文 • 上一篇    下一篇

EXACT SOLUTION AND ITS BEHAVIOR CHARACTERISTIC OF NONLINEAR DUAL-POROSITY MODEL

同登科, 张鸿庆, 王瑞和   

  • 收稿日期:2003-04-28 修回日期:2005-03-25 出版日期:2005-10-18 发布日期:2005-10-18
  • 通讯作者: 同登科

EXACT SOLUTION AND ITS BEHAVIOR CHARACTERISTIC OF NONLINEAR DUAL-POROSITY MODEL

TONG Deng-ke, ZHANG Hong-qing, WANG Rui-he   

    1. College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, Shandong Province, P.R.China;
    2. Department of Applied Mathematics, Dalian University of Technology,
      Dalian 116024, P.R.China
  • Received:2003-04-28 Revised:2005-03-25 Online:2005-10-18 Published:2005-10-18
  • Contact: TONG Deng-ke

Abstract: A nonlinear dual-porosity model considering a quadratic gradient term is presented.Assuming the pressure difference between matrix and fractures as a primary unknown,to avoid solving the simultaneous system of equations,decoupling of fluid pressures in the blocks from the fractures was furnished with a quasi-steady-state flow in the blocks. Analytical solutions were obtained in a radial flow domain using generalized Hankel transform.The real value cannot be gotten because the analytical solutions were infinite series. The real pressure value was obtained by numerical solving the eigenvalue problem.The change law of pressure was studied while the nonlinear parameters and dual-porosity parameters changed, and the plots of typical curves are given. All these result can be applied in well test analysis.

Key words: nonlinear dual porosity, analytical solution, pressure curve, Hankel transform

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals