parabolic equation;
Lie group transformation;
similarities;
exact solution;
D O I:
10.1016/S0096-3003(02)00181-9
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper the parallel plate and cylindrical geometry are considered to model contaminant transport in a main fracture surrounded by a two-dimensional rock matrix. The transformation group theoretical approach is applied to present some new analytical solutions for the advection-dispersion equation governing these models. The application of this approach reduces the number of independent variables, and consequently the governing equation is reduced to ordinary differential equations. The general analysis developed in this study corresponds to the case of parabolic manner of the velocity within the main fracture. (C) 2002 Elsevier Science Inc. All rights reserved.
机构:
Korea Inst Geosci & Mineral Resources, Daejeon 34132, South KoreaKorea Inst Geosci & Mineral Resources, Daejeon 34132, South Korea
Suk, Heejun
Chen, Jui-Sheng
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机构:
Natl Cent Univ, Grad Inst Appl Geol, Taoyuan City 320, Taiwan
Natl Cent Univ, Grad Inst Appl Geol, Taoyuan City 32001, TaiwanKorea Inst Geosci & Mineral Resources, Daejeon 34132, South Korea
Chen, Jui-Sheng
Han, Weon Shik
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机构:
Yonsei Univ, Dept Earth Syst Sci, 50, Yonsei ro, Seoul 03722, South KoreaKorea Inst Geosci & Mineral Resources, Daejeon 34132, South Korea
机构:
China Agr Univ, Chinese Israeli Int Ctr Res & Training Agr, Beijing 100083, Peoples R China
China Agr Univ, Ctr Agr Water Res China, Beijing 100083, Peoples R ChinaChina Agr Univ, Chinese Israeli Int Ctr Res & Training Agr, Beijing 100083, Peoples R China
Huang, Quanzhong
Huang, Guanhua
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机构:
China Agr Univ, Chinese Israeli Int Ctr Res & Training Agr, Beijing 100083, Peoples R China
China Agr Univ, Ctr Agr Water Res China, Beijing 100083, Peoples R ChinaChina Agr Univ, Chinese Israeli Int Ctr Res & Training Agr, Beijing 100083, Peoples R China
Huang, Guanhua
Zhan, Hongbin
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h-index: 0
机构:
Texas A&M Univ, Dept Geol & Geophys, College Stn, TX 77845 USAChina Agr Univ, Chinese Israeli Int Ctr Res & Training Agr, Beijing 100083, Peoples R China