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Exact Solution of Heat Transport Equation for a Heterogeneous Geothermal Reservoir

Author

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  • Sayantan Ganguly

    (Environmental Hydrogeology Group, Department of Earth Sciences, Utrecht University, Princetonlaan 8A, 3584 CB Utrecht, The Netherlands)

Abstract

An exact integral solution for transient temperature distribution, due to injection-production, in a heterogeneous porous confined geothermal reservoir, is presented in this paper. The heat transport processes taken into account are advection, longitudinal conduction and conduction to the confining rock layers due to the vertical temperature gradient. A quasi 2D heat transport equation in a semi-infinite porous media is solved using the Laplace transform. The internal heterogeneity of the geothermal reservoir is expressed by spatial variation of the flow velocity and the effective thermal conductivity of the medium. The model results predict the transient temperature distribution and thermal-front movement in a geothermal reservoir and the confining rocks. Another transient solution is also derived, assuming that longitudinal conduction in the geothermal aquifer is negligible. Steady-state solutions are presented, which determine the maximum penetration of the cold water thermal front into the geothermal aquifer.

Suggested Citation

  • Sayantan Ganguly, 2018. "Exact Solution of Heat Transport Equation for a Heterogeneous Geothermal Reservoir," Energies, MDPI, vol. 11(11), pages 1-19, October.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:11:p:2935-:d:178676
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    Cited by:

    1. Guoshu Huang & Huolin Ma & Xiangyun Hu & Jianchao Cai & Jiabin Li & Hongqing Luo & Heping Pan, 2019. "A Coupled Model of Two-Phase Fluid Flow and Heat Transfer to Transient Temperature Distribution and Seepage Characteristics for Water-Flooding Production Well with Multiple Pay Zones," Energies, MDPI, vol. 12(10), pages 1-33, May.
    2. Lijun Gao & Yunze Li & Huijuan Xu & Xin Zhang & Man Yuan & Xianwen Ning, 2019. "Numerical Investigation on Heat-Transfer and Hydromechanical Performance inside Contaminant-Insensitive Sublimators under a Vacuum Environment for Spacecraft Applications," Energies, MDPI, vol. 12(23), pages 1-21, November.

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