Open Access
VOL. 38 | 1999 Modelling non-isothermal flows in porous media: a case study using an example of the Great Artesian Basin, Australia
Irene Pestov

Editor(s) Roderick V.N. Melnik, Suely Oliveira, David E. Stewart

Proc. Centre Math. Appl., 1999: 59-65 (1999)

Abstract

This paper focuses on physics and mathematics behind the numerical software. Our calculations show that the temperature variation recorded in the Great Artesian Basin significantly affects thermodynamic properties of groundwater such as dynamic viscosity and density. Dynamic viscosity varies by a factor of four within the temperature difference typical of the basin, and water density variation may produce a convective motion in higher permeability regions. We suggest to treat the flow in the higher permeability regions as a non-isothermal flow. A rigorous approach to modelling such a flow will be to invoke the continuity equation for a variable density fluid, the energy equation and the momentum equation in the form of the generalised Darcy's law. Accordingly, numerical packages for simulating non-isothermal flows in porous media should be applied.

Information

Published: 1 January 1999
First available in Project Euclid: 18 November 2014

zbMATH: 1138.76439

Rights: Copyright © 1999, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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