Some analytical solutions for groundwater flow and transport equation

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...

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Veröffentlicht in:	Transport in porous media 2002-06, Vol.47 (3), p.295-308
Hauptverfasser:	SAIED, Effat A, KHALIFA, M. E
Format:	Artikel
Sprache:	eng
Schlagworte:	Advection Advection-diffusion equation Diffusion Earth sciences Earth, ocean, space Exact sciences and technology Exact solutions Groundwater flow Hydrogeology Hydrology. Hydrogeology Independent variables Mathematical analysis Radioisotopes Time dependence Transport equations
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Zusammenfassung:	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.
ISSN:	0169-3913 1573-1634
DOI:	10.1023/A:1015567920930