WIT Press

A Model For Solute Transport Following An Abrupt Pressure Impact In Nondeformable Saturated Porous Media

Price

Free (open access)

Paper DOI

10.2495/WP930091

Volume

2

Pages

8

Published

1993

Size

497 kb

Author(s)

S. Sorek & D. Levi-Hevroni

Abstract

A mathematical model is developed of an abrupt pressure impact applied to a compressible fluid with solute, flowing through nondeformable , saturated porous media. Nondimensional forms of the macroscopic balance equations of the solute mass and of the fluid mass and momentum, lead to dominant forms of these equations. At the very first time period of the onset of pressure change, pressure is proven to be distributed uniformly within the affected domain, while solute remains unaffected. During the second time period, fluid's momentum balance equation conforms to a wave form, while solute mass balance equation conforms to an equation of advection transport. A simplified 1-D analytical solution of this solute transport equation yields an

Keywords