Finite element simulation of the hydrothermal behaviour of an artificial aquifer for seasonal energy storage

Rouve, G.; Daniels, H.; Pelka, W.; Hahne, Ε.; Fisch, N. J.; Giebe, R.

doi:10.1016/0309-1708(88)90006-1

Cited by 3 publications

(2 citation statements)

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“…Numerical simulations, therefore, should be used for realistic understanding of heat transfer in complex geological and hydrological characteristics [24]. The numerical modeling of the ATES system has been conducted from 1970s [25], and two-dimensional numerical simulations were carried out before 1990s [26,27]. Recently, with the advance of modern computing power, three-dimensional numerical modeling become widely used such as in Dickinson et al [8], Lee [13], Tenma et al [28], and so on.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of aquifer thermal energy storage system

Kim

Lee

Yoon³

et al. 2010

Energy

104

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Section: Introductionmentioning

confidence: 99%

Numerical modeling of aquifer thermal energy storage system

Kim

Lee

Yoon³

et al. 2010

Energy

104

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“…To assess the performance of ATES systems, a variety of numerical models based on finite element methods (Kim et al, 2010; Rouve et al, 1988; Tenma et al, 2003), finite difference methods (Lee, 2008; Molson et al, 1992), or finite volume methods (Yapparova et al, 2014) have been developed to study the thermal behavior in the ATES system. The analytical model by contrast is also widely used to analyze the thermal behavior in the long term ATES system because of the advantages of simplicity, easy implementation, and time‐saving in computation as compared with the numerical models.…”

Section: Introductionmentioning

confidence: 99%

Analytical Model for Heat Transfer Accounting for Both Conduction and Dispersion in Aquifers With a Robin‐Type Boundary Condition at the Injection Well

Lin

Yeh

2019

Water Resources Research

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In the past, the analytical model developed for a radially divergent heat flow in an aquifer thermal energy storage (ATES) system considers only the process of either thermal conduction or thermal dispersion. In addition, the existing models commonly regarded the inner boundary at the injection well as the constant‐temperature condition, which does not meet the continuity condition of heat flux at the wellbore. We herein propose an analytical model for a realistic representation of heat flow in an ATES system by considering the effects of both thermal conduction and thermal dispersion in the heat transfer equation and a Robin‐type boundary condition at the injection well. The model consists of three heat flow equations depicting the temperature distributions in the confined aquifer and its underlying and overlying rocks. The Laplace transform method is applied to solve the proposed model. The solutions for the cases of dispersion‐ and conduction‐dominant flow fields are also developed and discussed. Comparisons between the present solutions with five existing solutions developed for similar heated water injection problems are made. A global sensitivity method is also performed to analyze the thermal response to the change in each of the aquifer parameters. Finally, our solution is validated through the comparison with the finite difference solution and observed data from an ATES experiment site in Mobile, Alabama.

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Thermal energy storage in an unconfined aquifer: 2. Model development, validation, and application

Molson¹,

Frind²,

Palmer³

1992

Water Resources Research

141

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A fully three‐dimensional numerical model for simulating coupled density‐dependent groundwater flow and thermal energy transport is developed and validated. The transport solution is based on a finite element time integration algorithm which generates a symmetric coefficient matrix while retaining second‐order accuracy in time. The use of a symmetric conjugate gradient solver for both the flow and transport matrices results in a high degree of computational efficiency. Three‐dimensional deformable block elements are used to allow the model to conform to domains with irregular geometry. The thermal transport model is validated against the results of the Borden thermal injection field experiment presented in the companion paper. The model simulations provide an excellent match with the observed temperature distribution over time, with the effects of thermal buoyancy and losses across the ground surface accurately reproduced by the model. The model is shown to be a practical tool for simulating the type of low‐temperature thermal transport problems that arise in connection with seasonal aquifer thermal energy storage and ground source heat extraction systems.

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Finite element simulation of the hydrothermal behaviour of an artificial aquifer for seasonal energy storage

Cited by 3 publications

References 1 publication

Numerical modeling of aquifer thermal energy storage system

Numerical modeling of aquifer thermal energy storage system

Analytical Model for Heat Transfer Accounting for Both Conduction and Dispersion in Aquifers With a Robin‐Type Boundary Condition at the Injection Well

Thermal energy storage in an unconfined aquifer: 2. Model development, validation, and application

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