Transport processes in porous media. 1. Continuous modeling

Abstract

A coarse grained space-time average of quantities assigned to the molecules of a corpuscular physical system is defined. It is shown that these averages are almost everywhere continuous space-time functions and they satisfy identities similar to the balance equations from continuum mechanics. Further, through averages aver the statistical ensemble, everywhere continuous fields, and balance equations are derived. It is shown that a Lagrangian description of the transport by an advection-diffusion equation, can be obtained. In this frame, a macroscopic continuous model of motion in porous media is proposed, the Darcy-Buckingham flux law and the  porosity dependent adevection-diffusion equation are derived.

Authors

N. Suciu
Tiberiu Popoviciu Institutue of Numerical Analysis

C. Vamos
Tiberiu Popoviciu Institutue of Numerical Analysis

A. Georgescu
University of Pitești

U. Jaeckel
Forschungszentrum Julich GmbH, Institut fur Chemie und Dynamik der Geosphare, Deutschland

H. Vereecken
Forschungszentrum Julich GmbH, Institut fur Chemie und Dynamik der Geosphare, Deutschland

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N. Suciu, C. Vamoş, A. Georgescu, U. Jaeckel, H. Vereecken (1998), Transport processes in porous media. 1. Continuous modeling, Rom J. of Hydr. & Water Resour., 5(1-2), 39-55.

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Rom. J. Hydr. & Water Resour.

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