Journal cover Journal topic
Hydrology and Earth System Sciences An interactive open-access journal of the European Geosciences Union
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
Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Hydrology and Earth System Sciences (HESS).
Analytical and Numerical Solutions of Radially Symmetric Aquifer Thermal Energy Storage Problems
Zerihun K. Birhanu1,3, Nils-Otto Kitterød2, Harald Krogstad3, and Anne Kværnø3 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).


Citation: Birhanu, Z. K., Kitterød, N.-O., Krogstad, H., and Kværnø, A.: Analytical and Numerical Solutions of Radially Symmetric Aquifer Thermal Energy Storage Problems, Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2017-303, in review, 2017.
Zerihun K. Birhanu et al.
Zerihun K. Birhanu et al.
Zerihun K. Birhanu et al.

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