Modelling of pollutant migration in porous media with interfacial transfer: local equilibrium/non-equilibrium

✍ Scribed by Jean-Louis Auriault; Jolanta Lewandowska

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 178 KB
• Volume: 2
• Category: Article
• ISSN: 1082-5010
• DOI: 10.1002/(sici)1099-1484(199707)2:3<205::aid-cfm28>3.0.co;2-x

✦ Synopsis

In the paper, an attempt to model local equilibrium and local non-equilibrium in pollutant migration in porous media is presented. Diffusion is assumed to occur in the pores as well as in the solid porous matrix. The macroscopic models are developed using the homogenization method (asymptotic expansion technique). The resulting macroscopic equations show either a one-concentration ®eld or two-concentration ®elds or memory effects. The domains of validity of all the presented models are also determined. Local cell problems are provided to compute the effective diffusion tensors. The conditions for the local mass equilibrium assumption to be valid are derived in terms of the dimensionless characteristic parameters. The effect of pollutant source distributions is also investigated. # 1997 by