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Discussion papers | Copyright
https://doi.org/10.5194/hess-2017-303
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 08 Aug 2017

Research article | 08 Aug 2017

Review status
This discussion paper is a preprint. It has been under review for the journal Hydrology and Earth System Sciences (HESS). A final paper in HESS is not foreseen.

Analytical and Numerical Solutions of Radially Symmetric Aquifer Thermal Energy Storage Problems

Zerihun K. Birhanu1,3, Nils-Otto Kitterød2, Harald Krogstad3, and Anne Kværnø3 Zerihun K. Birhanu et al.
  • 1School of Mathematical and Statistical Sciences, Hawassa University, Ethiopia
  • 2Faculty of Environmental Sciences and Natural Resource Management, Norwegian University of Life Sciences, Norway
  • 3Department of Mathematical Sciences, Norwegian University of Science and Technology, Norway

Abstract. The paper discusses analytical and numerical radial solutions of the differential equations for heat transport in water-saturated porous media. In particular, a similarity solution is obtained for a 2D-horizontal confined aquifer with constant radial flow. Numerical solutions are derived using a high-resolution Lagrangian approach suppressing spurious oscillations and artificial dispersion. There is a good correspondence between numerical and analytical solutions.

The primary purpose of the investigation has been to calculate the recovery factor of an Aquifer Thermal Energy Storage (ATES) system with a cyclic repetition of injection and pumping. Solutions covering both instantaneous and delayed heat transfer between fluid and solid, as well as time varying water flow, are derived and applied to a one-well test case.

In hydrological terms, these solutions are relevant for a wide range of problems where groundwater reservoirs are utilized for extraction and storage (viz. irrigation; water supply; geothermal extraction).

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Zerihun K. Birhanu et al.
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