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http://hdl.handle.net/1942/21306
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DC Field | Value | Language |
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dc.contributor.author | BRINGEDAL, Carina | - |
dc.contributor.author | Berre, I. | - |
dc.contributor.author | POP, Sorin | - |
dc.contributor.author | Radu, F. A. | - |
dc.date.accessioned | 2016-05-27T13:04:51Z | - |
dc.date.available | 2016-05-27T13:04:51Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | MULTISCALE MODELING & SIMULATION, 14 (1), p. 502-533 | - |
dc.identifier.issn | 1540-3459 | - |
dc.identifier.uri | http://hdl.handle.net/1942/21306 | - |
dc.description.abstract | Motivated by rock-fluid interactions occurring in a geothermal reservoir, we present a two-dimensional pore scale model of a thin strip consisting of void space and grains, with fluid flow through the void space. Ions in the fluid are allowed to precipitate onto the grains, while minerals in the grains are allowed to dissolve into the fluid, taking into account the possible change in the aperture of the strip that these two processes cause. Temperature variations and possible effects of the temperature in both fluid density and viscosity and in the mineral precipitation and dissolution reactions are included. For the pore scale model equations, we investigate the limit as the width of the strip approaches zero, deriving one-dimensional effective equations. We assume that the convection is dominating over diffusion in the system, resulting in Taylor dispersion in the upscaled equations and a Forchheimer-type term in Darcy's law. Some numerical results where we compare the upscaled model with three simpler versions are presented: two still honoring the changing aperture of the strip but not including Taylor dispersion, and one where the aperture of the strip is fixed but contains dispersive terms. | - |
dc.description.sponsorship | The research of the first and second authors was supported by Research Council of Norway (grant 228832). The research of the fourth author was supported by the Meltzer foundation at the University of Bergen and by the Dutch Research Council (Visitor grant 040.11.499). The third and fourth authors would like to acknowledge the support from Statoil through the Akademia agreement. | - |
dc.language.iso | en | - |
dc.rights | © 2016, Society for Industrial and Applied Mathematics | - |
dc.subject.other | upscaling; homogenization; free boundary; reactive transport; high Péclet; geothermal energy | - |
dc.title | Upscaling of Nonisothermal Reactive Porous Media Flow under Dominant Péclet Number: The Effect of Changing Porosity | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 533 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 502 | - |
dc.identifier.volume | 14 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1137/15M1022781 | - |
dc.identifier.isi | 000373366500018 | - |
item.accessRights | Open Access | - |
item.fullcitation | BRINGEDAL, Carina; Berre, I.; POP, Sorin & Radu, F. A. (2016) Upscaling of Nonisothermal Reactive Porous Media Flow under Dominant Péclet Number: The Effect of Changing Porosity. In: MULTISCALE MODELING & SIMULATION, 14 (1), p. 502-533. | - |
item.contributor | BRINGEDAL, Carina | - |
item.contributor | Berre, I. | - |
item.contributor | POP, Sorin | - |
item.contributor | Radu, F. A. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2017 | - |
crisitem.journal.issn | 1540-3459 | - |
crisitem.journal.eissn | 1540-3467 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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MMSCarina.pdf Restricted Access | Published version | 475.07 kB | Adobe PDF | View/Open Request a copy |
rana15-32.pdf | Non Peer-reviewed author version | 601.68 kB | Adobe PDF | View/Open |
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