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Modelling of heat transfer with the random walk method; Part 1, Application to thermal energy storage in porous aquifers

Modelling of heat transfer with the random walk method; Part 1, Application to thermal energy storage in porous aquifers

Journal of Hydrology 222(1-4): 129-139

The random walk method of resolution is applied to the study of energy transfer phenomena in porous media. The study is based on the similarity between the solute transport equation and the heat transfer equation. All the assumptions used in the development of the method are explained. The free convection phenomenon is disregarded and none of the physical properties are dependent on the temperature. The stochastic equations corresponding to the heat transfer equation are developed and the method is applied to a single well model of thermal energy storage in a homogeneous and isotropic porous aquifer. The flow velocity is defined by its analytical solution. The random walk results are compared with those of both the analytical solutions (constant injection) and the numerical finite difference solutions (injection-production cycle and in a configuration with a regional velocity). They are similar in both cases. The random walk method is efficient in terms of the required computation time. It is an effective method for configurations where the time or space steps restrict the use of classical methods of resolution.

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Accession: 019464123

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DOI: 10.1016/s0022-1694(99)00108-0

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