| EXACT SOLUTION AND ITS BEHAVIOR CHARACTERISTIC OF NONLINEAR DUAL-POROSITY MODEL |
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| 作者姓名： | 同登科 张鸿庆 王瑞和 |
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| 作者单位： | 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，College of Mathematics and Computational Science，China University of Petroleum，Dongying 257061，Shandong Province，P.R.China |
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| 基金项目： | Project supported by the National Basic Research Program of China （973 Program） （No. 2002CB211708） and the Natural Science Foundation of Shandong Province （No. Y2003F01 ） |
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| 摘 要： | IntroductionIn the computation of petroleum reservoir engineering design,the nonlinear quadraticgradient term is neglected by assuming small pressure gradient or small compressibility.Theassumption of small pressure gradient may cause significant errors i…
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| 关 键 词： | 精确解 双重多孔模型 Hankel变换 压力曲线 力学分析 |
| 文章编号： | 0253-4827（2005）10-1277-07 |
| 收稿时间： | 2003-04-28 |
| 修稿时间： | 2005-03-25 |
Exact solution and its behavior characteristic of nonlinear dual-porosity model |
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| Deng-ke Tong,Hong-qing Zhang,Rui-he Wang.EXACT SOLUTION AND ITS BEHAVIOR CHARACTERISTIC OF NONLINEAR DUAL-POROSITY MODEL[J].Applied Mathematics and Mechanics(English Edition),2005,26(10):1277-1283. |
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| Authors: | Deng-ke Tong Hong-qing Zhang Rui-he Wang |
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| Institution: | 1. College of Mathematics and Computational Science, China University of Petroleum, 257061, Dongying, Shandong Province, P. R. China
2. Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, P.R. China
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| 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. |
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| Keywords: | nonlinear dual porosity Hankel transform analytical solution pressure curve |
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