Journal
TRANSPORT IN POROUS MEDIA
Volume 114, Issue 2, Pages 371-393Publisher
SPRINGER
DOI: 10.1007/s11242-015-0530-9
Keywords
Upscaling; Homogenization; Free boundary; Level set method; Periodic porous medium
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Funding
- German Research Foundation DFG [GRK 1398]
- Netherlands Organisation for Scientific Research NWO [DN 81-754]
- Research Council of Norway [NRC 215627, 228832]
- Statoil through Akademia agreement
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Motivated by rock-fluid interactions occurring in a geothermal reservoir, we present a two-dimensional pore scale model of a periodic porous medium consisting of void space and grains, with fluid flow through the void space. The ions in the fluid are allowed to precipitate onto the grains, while minerals in the grains are allowed to dissolve into the fluid, and we take into account the possible change in pore geometry that these two processes cause, resulting in a problem with a free boundary at the pore scale. We include temperature dependence and possible effects of the temperature both in fluid properties and in the mineral precipitation and dissolution reactions. For the pore scale model equations, we perform a formal homogenization procedure to obtain upscaled equations. A pore scale model consisting of circular grains is presented as a special case of the porous medium.
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