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

• Published in: Applied mathematics and mechanics Vol. 26; no. 10; pp. 1277 - 1283
• Main Author: 同登科 张鸿庆 王瑞和
• Format: Journal Article
• Language: English
• Published: College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, Shandong Province, P. R. China%Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China 01.10.2005
• Subjects: Hankel变换; 力学分析; 压力曲线; 双重多孔模型; 精确解; Hankel transform; analytical solution; nonlinear dual porosity; pressure curve
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/BF03246232

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.