Upscaling Reactive Transport Under Hydrodynamic Slip Conditions in Homogeneous Porous Media
| dc.contributor.author | VALDÉS‐PARADA, Francisco | |
| dc.contributor.author | VALDÉS-PARADA, Francisco | |
| hal.structure.identifier | Institut de Mécanique et d'Ingénierie de Bordeaux [I2M] | |
| dc.contributor.author | LASSEUX, Didier
IDREF: 131294474 | |
| dc.contributor.author | WHITAKER, Stephen | |
| dc.date.accessioned | 2021-05-14T09:31:48Z | |
| dc.date.available | 2021-05-14T09:31:48Z | |
| dc.date.issued | 2020-01 | |
| dc.identifier.issn | 0043-1397 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/75915 | |
| dc.description.abstractEn | Reactive transport of a dilute species in a Newtonian fluid saturating a homogeneous porous medium for slip flow is analyzed in this work. Incompressible Newtonian flow with a first-order (Navier) slip boundary condition is considered together with a first-order heterogeneous reaction\added{.} Kinetic numbers range up to unity \added{while} Knudsen number\added{s,} characteristic of slip-flow, \added{are} smaller than approximately 0.1. The pore-scale problem is upscaled, using the volume averaging method, to obtain a macroscopic transport equation (referred to as the \textit{complete upscaled model}) operating at the Darcy scale. Using order of magnitude estimates and an expansion in terms of the Kinetic number, \added{simplifications in the expressions of the effective coefficients are explored.} \added{The conditions under which the effective convective velocity and the total dispersion tensor are independent of reaction are derived. Under such conditions, a simplified version of the macroscopic transport equation is obtained. This is referred to as the \textit{simplified model}.} Numerical results \added{for} a simple structure indicate that the longitudinal dispersion \added{coefficient} decreases with decreasing Knudsen number, while the opposite holds for the transverse \added{component} of the total dispersion tensor, the effective convective velocity, and the effective reaction rate coefficient. These effects are more evident when the P\'eclet number increases (\textit{i.e.}, in the convective-favored regime) and when slip effects are more pronounced. Results predicted by the simplified and \added{the} complete versions of the upscaled model are validated with direct numerical simulations of the pore-scale problem on a two-dimensional model structure. | |
| dc.language.iso | en | |
| dc.publisher | American Geophysical Union | |
| dc.title.en | Upscaling Reactive Transport Under Hydrodynamic Slip Conditions in Homogeneous Porous Media | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1029/2019WR025954 | |
| dc.subject.hal | Sciences de l'ingénieur [physics] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Milieux fluides et réactifs | |
| bordeaux.journal | Water Resources Research | |
| bordeaux.volume | 56 | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.institution | INRAE | |
| bordeaux.institution | Arts et Métiers | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03042095 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03042095v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Water%20Resources%20Research&rft.date=2020-01&rft.volume=56&rft.issue=1&rft.eissn=0043-1397&rft.issn=0043-1397&rft.au=VALD%C3%89S%E2%80%90PARADA,%20Francisco&VALD%C3%89S-PARADA,%20Francisco&LASSEUX,%20Didier&WHITAKER,%20Stephen&rft.genre=article |
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