Analytical solutions for transient temperature distribution in a geothermal reservoir due to cold water injection | Solutions analytiques pour la distribution transitoire de la température due à l’injection d’eau froide dans un réservoir géothermal Soluciones analíticas para una distribución transitoria de temperatura en un reservorio geotérmico debido a la inyección de agua fría 地热储由于冷水注入造成瞬时温度分布的解析解 Soluções analíticas para a distribuição de temperatura em regime transitório num reservatório geotérmico em resposta à injeção de água fria
2014
Ganguly, Sayantan | Mohan Kumar, M. S.
An analytical solution to describe the transient temperature distribution in a geothermal reservoir in response to injection of cold water is presented. The reservoir is composed of a confined aquifer, sandwiched between rocks of different thermo-geological properties. The heat transport processes considered are advection, longitudinal conduction in the geothermal aquifer, and the conductive heat transfer to the underlying and overlying rocks of different geological properties. The one-dimensional heat transfer equation has been solved using the Laplace transform with the assumption of constant density and thermal properties of both rock and fluid. Two simple solutions are derived afterwards, first neglecting the longitudinal conductive heat transport and then heat transport to confining rocks. Results show that heat loss to the confining rock layers plays a vital role in slowing down the cooling of the reservoir. The influence of some parameters, e.g. the volumetric injection rate, the longitudinal thermal conductivity and the porosity of the porous media, on the transient heat transport phenomenon is judged by observing the variation of the transient temperature distribution with different values of the parameters. The effects of injection rate and thermal conductivity have been found to be profound on the results.
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