Analytical solutions of three-dimensional convection-dispersion problems with time dependent coefficients

Citation
G. Marinoschi et al., Analytical solutions of three-dimensional convection-dispersion problems with time dependent coefficients, Z ANG MA ME, 79(6), 1999, pp. 411-421
Citations number
18
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
79
Issue
6
Year of publication
1999
Pages
411 - 421
Database
ISI
SICI code
0044-2267(1999)79:6<411:ASOTCP>2.0.ZU;2-N
Abstract
The paper presents analytical solutions for 30 boundary value problems with time dependent parameters. Generally the problems considered describe diff usion. and transport phenomena, but chemical reactions and other processes possibly accompanying the dispersion are also taken into account. The solut ions are presented Sor 30 2D, and 1D flour domains with specific boundary c onditions. In addition a relationship, expressing the time evolution of the longitudinal dispersion coefficient and a method of analyzing its asymptot ic behaviour at large time are deduced. The analytical results are used to interpret experimental breakthrough curves obtained from a natural gradient tracer experiment in an, aquifer. Mse (1991): 35E05, 76R50, 76S05.