Some analytical solutions for groundwater flow and transport equation

被引：7
|
作者：
Saied, EA [1 ]
Khalifa, ME [1 ]
机构：
[1] Benha Univ, Fac Sci, Dept Math, Banha, Egypt
来源：
TRANSPORT IN POROUS MEDIA | 2002年 / 47卷 / 03期
关键词：
advection-diffusion systems; group properties of partial differential equations (PDEs); similarity reduction;
D O I：
10.1023/A:1015567920930
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
This paper presents the use of symmetry reduction method resulting in new exact solutions for the groundwater flow and transport equation. It is assumed that the radionuclides are transported by advection-diffusion in a single fracture and diffusion in the surrounding rock-matrix. The application of one-parameter group reduces the number of independent variables, and consequently the governing PDE of (1 + 2)-dimension reduces to set of ODEs which are solved analytically. This enables us to present some new exact time-dependent solutions of the advection-diffusion equation.
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页码：295 / 308
页数：14
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