Result: A mathematical and computational study of the dispersivity tensor in anisotropic porous media

Title:
A mathematical and computational study of the dispersivity tensor in anisotropic porous media
Authors:
YUAN LIU, KITANIDIS, Peter K
Source:
Advances in water resources. 62:303-316
Publisher Information:
Kidlington: Elsevier, 2013.
Publication Year:
2013
Physical Description:
print, 56 ref b
Original Material:
INIST-CNRS
Subject Terms:
Geology, Géologie, Sciences exactes et technologie, Exact sciences and technology, Terre, ocean, espace, Earth, ocean, space, Sciences de la terre, Earth sciences, Hydrologie. Hydrogéologie, Hydrology. Hydrogeology, Hydrogéologie, Hydrogeology, Anisotropie, anisotropy, Anisotropía, Concentration, concentration, Concentración, Diffusion, diffusion, Difusión, Dispersion, dispersion, Dispersión, Dispersivité, dispersivity, Eau souterraine, ground water, Agua subterránea, Ecoulement, flow, Exposition, exhibits, Géométrie, geometry, Geometría, Homogénéisation, homogenization, Homogeneización, Milieu poreux, porous media, Medio poroso, Modèle, models, Modelo, Ressource eau, water resources, Recurso agua, Simulation numérique, digital simulation, Simulación numérica, Tenseur, tensor, Transport, transport, Transporte, Vitesse, velocity, Velocidad, Anisotropy, Dispersivity tensor, Homogenization, Method of moments
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
Department of Civil and Environmental Engineering, Stanford University, Stanford, CA 94305, United States
ISSN:
0309-1708
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=28049267
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Earth sciences
Accession Number:
edscal.28049267
Database:
PASCAL Archive

Further Information

Dispersive transport in porous media is usually described through a Fickian model, in which the flux is the product of a dispersion tensor times the concentration gradient. This model is based on certain implicit assumptions, including slowly varying conditions. About fifty years ago, it was first suggested that the parameterization of the second-order dispersion tensor for anisotropic porous media involves a fourth-order dispersivity tensor. However, the properties of the dispersivity tensor have not been adequately studied. This work contributes to achieving a better grasp of dispersion in anisotropic porous media through a number of ways. First, with clearly stated assumptions and from first principles, we use the method of moments to derive a mathematical formula for the fourth-order dispersivity tensor, and show that it is a function of pore geometry, fluid velocity, and pore diffusion. Second, by using pore-scale flow and transport simulations through orderly and randomly packed 2-D and 3-D porous media, we evaluate the effects of the three factors on dispersivity. Different relationships with the Peclét number are observed for the longitudinal and transverse dispersivities and for orderly and randomly packed media. Third, we discuss the limitations of 2-D periodic media with simple structures in computing transverse dispersivity, which is more accurately predicted in the 3-D periodic media and 2-D randomly packed media. Fourth, we exhibit through numerical simulations that the method of moments can, computational limitations notwithstanding, be extended to stationary porous media.