On nonclassical analytical solutions for advective transport problems

Abstract

[1] The paper presents certain nonclassical analytical solutions for describing the onedimensional advective transport of a chemical or a contaminant in a fluid-saturated porous medium. The advective transport is induced by potential flow. The nonclassical nature stems from the influences of time-dependent boundary concentrations, time-dependent flow velocities, and the presence of natural attenuation. These analytical results are novel and provide a useful set of solutions for benchmarking computational schemes that have been developed in the literature for solving transport of chemicals and contaminants in fluid-saturated porous media.

Surface permeability tests: experiments and modelling for estimating effective permeability

“…Permeability is a key parameter in environmental geosciences and geomechanics problems dealing with groundwater hydrology (Bear 1972;de Marsily 1986), groundwater contamination (Bear et al 1993;Selvadurai 2003aSelvadurai , 2004aSelvadurai , 2008, geothermal energy extraction (Dickson & Fanelli 1995;Duffield & Sass 2003), geological sequestration of CO 2 (Bachu & Adams 2003;Moore et al 2004;Tsang et al 2008), deep geological disposal of contaminants (Apps & Tsang 1996;Selvadurai 2006) and geological storage of heat-emitting nuclear fuel wastes (Laughton et al 1986;Selvadurai & Nguyen 1997). The property of permeability or intrinsic permeability depends solely on the accessible pore structure to fluid flow in a geomaterial (Brace 1977;Bernabé et al 1982).…”