NDLI: Analytical solutions for transient temperature distribution in a geothermal reservoir due to cold water injection

Content Provider	Springer Nature Link
Author	Ganguly, Sayantan Mohan Kumar, M. S.
Copyright Year	2013
Abstract	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.Une solution analytique pour décrire la distribution transitoire de la température suite à une injection d’eau froide dans un réservoir géothermal est présentée. Le réservoir est composé d’un aquifère captif pris en sandwich entre des roches de propriétés thermo-géologiques différentes Les processus de transport de chaleur considérés sont l’advection, la conduction longitudinale dans l’aquifère géothermal et le transfert conductif de chaleur vers les roches sous et sus-jacentes aux propriétés géologiques différentes. L’équation de transfert de chaleur à une dimension est résolue en utilisant la transformée de Laplace sous l’hypothèse d’une densité constante et des propriétés thermiques à la fois de la roche et du fluide. Deux solutions simples sont ensuite dérivées, en négligeant d’abord la conductivité longitudinale de transport de chaleur et ensuite le transport de chaleur vers les épontes. Les résultats montrent que la perte de chaleur dans les épontes joue un rôle majeur en ralentissant le refroidissement du réservoir. L’influence de certains paramètres, tel que le débit d’injection, la conductivité thermique longitudinale et la porosité du milieu poreux, sur le phénomène transitoire du transport de chaleur est appréhendé en observant la variation de la distribution des températures dans le temps avec différentes valeurs des paramètres. Il apparait que débit d’injection et la conductivité thermique ont un impact important sur les résultats.Se presenta una solución analítica para describir la distribución transitoria de la temperatura en un reservorio geotérmico en respuesta a una inyección de agua fría. El reservorio está compuesto de un acuífero confinado, intercalado entre rocas de diferentes propiedades termo geológicas. Los procesos de transporte de calor considerados son advección, conducción longitudinal en el acuífero geotérmico, y la transferencia conductiva del calor a rocas subyacentes y suprayacente de diferentes propiedades geológicas. La ecuación de transferencia de calor unidimensional ha sido resuelta usando la transformada de Laplace con la suposición de densidad y propiedades térmicas constantes tanto de rocas como de fluidos. Se extrajeron dos soluciones simples, la primera despreciando la conductividad longitudinal del transporte de calor y por lo tanto del transporte de calor a las rocas confinantes. Los resultados muestran que la pérdida de calor hacia las capas de rocas confinantes juega un rol vital en retardar el enfriamiento del reservorio. La influencia de algunos parámetros, por ejemplo la tasa volumétrica de la inyección, la conductividad térmica longitudinal y la porosidad del medio poroso, sobre el fenómeno de transporte transitorio de calor son juzgados observando la variación de la distribución transitoria de la temperatura con diferentes valores de los parámetros. Se han encontrado los profundos efectos de la velocidad de inyección y de la conductividad térmica en los resultados.研究展示了地热储由于冷水注入造成瞬时温度分布的解析解。热储由一个夹在不同地热特性岩层之间的承压含水层组成。考虑到的热传输过程有对流、地热含水层中的纵向传导、向上覆及下伏的具有不同地质特性的岩石的热传导。假定岩石和液体恒定密度和热特性并采用Laplace变换求解决一维热传导方程。随后推导出两个简单的解决方法,首先忽略纵向传导的热传输,然后忽略传导到承压岩石的热传输。结果显示对承压岩石层的热损耗在减速热储的冷却上发挥至关重要的作用。有些参数如容积注入率、纵向人传导及多孔介质的孔隙度对瞬时热传输现象的影响根据观测瞬时温度分布的变化的不同参数值来判断。注入速率和热传导对结果有深远影响。É apresentada uma solução analítica para descrever a distribuição da temperatura em regime transitório num reservatório geotérmico em resposta à injeção de água fria. O reservatório é formado por um aquífero confinado, localizado entre rochas de diferentes propriedades térmicas e geológicas. Os processos de transporte de calor são a adveção, a condução longitudinal do aquífero geotérmico e a transferência de calor por condução para as rochas sub- e sobrejacentes de diferentes propriedades geológicas. A equação de transferência de calor unidimensional tem sido resolvida utilizando a transformada de Laplace, com a assunção das hipóteses de densidade e propriedades térmicas constantes das rochas e do fluido. São derivadas duas soluções simples, primeiro negligenciando a condutividade longitudinal do transporte de calor e, em seguida, o transporte de calor para as rochas confinantes. Os resultados mostram que a perda de calor para as camadas de rocha confinantes desempenha um papel vital no abrandamento do arrefecimento do reservatório. A influência de alguns parâmetros, como a taxa de injeção volumétrica, a condutividade térmica longitudinal e a porosidade do meio no fenómeno de transporte de calor em regime transitório, é avaliada observando a variação da distribuição de temperatura em transitório com diferentes valores dos parâmetros. Os efeitos da taxa de injeção e da condutividade térmica mostram ser muito grandes nos resultados obtidos.
Starting Page	351
Ending Page	369
Page Count	19
File Format	PDF
ISSN	14312174
Journal	Hydrogeology Journal
Volume Number	22
Issue Number	2
e-ISSN	14350157
Language	Portuguese
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-11-14
Publisher Institution	International Association of Hydrogeologists
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Geothermal reservoirs Analytical solutions Heat transport Thermal conditions Hydrogeology Hydrology/Water Resources Geology Waste Water Technology Water Pollution Control Water Management Aquatic Pollution
Content Type	Text
Resource Type	Article
Subject	Earth and Planetary Sciences Water Science and Technology

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