ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

Analytical solutions for movement of cold water thermal front in a heterogeneous geothermal reservoir

Ganguly, Sayantan and Kumar, Mohan MS (2014) Analytical solutions for movement of cold water thermal front in a heterogeneous geothermal reservoir. In: APPLIED MATHEMATICAL MODELLING, 38 (2). pp. 451-463.

[img] PDF
app_mat_mod_38-2_451_2014.pdf - Published Version
Restricted to Registered users only

Download (1MB) | Request a copy
Official URL: http://dx.doi.org/10.1016/j.apm.2013.06.031

Abstract

In the present study an analytical model has been presented to describe the transient temperature distribution and advancement of the thermal front generated due to the reinjection of heat depleted water in a heterogeneous geothermal reservoir. One dimensional heat transport equation in porous media with advection and longitudinal heat conduction has been solved analytically using Laplace transform technique in a semi infinite medium. The heterogeneity of the porous medium is expressed by the spatial variation of the flow velocity and the longitudinal effective thermal conductivity of the medium. A simpler solution is also derived afterwards neglecting the longitudinal conduction depending on the situation where the contribution to the transient heat transport phenomenon in the porous media is negligible. Solution for a homogeneous aquifer with constant values of the rock and fluid parameters is also derived with an aim to compare the results with that of the heterogeneous one. The effect of some of the parameters involved, on the transient heat transport phenomenon is assessed by observing the variation of the results with different magnitudes of those parameters. Results prove the heterogeneity of the medium, the flow velocity and the longitudinal conductivity to have great influence and porosity to have negligible effect on the transient temperature distribution. (C) 2013 Elsevier Inc. All rights reserved.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to the ELSEVIER SCIENCE INC, USA
Keywords: Geothermal reservoirs; Analytical solutions; Reinjection; Thermal front; Heterogeneous porous media; Heat transport
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Depositing User: Id for Latest eprints
Date Deposited: 06 Mar 2014 07:00
Last Modified: 06 Mar 2014 07:00
URI: http://eprints.iisc.ac.in/id/eprint/48499

Actions (login required)

View Item View Item