Experimental study of stable imbibition displacements in a model open fracture. I. Local avalanche dynamics
We report the results of an experimental investigation of the spatiotemporal dynamics of stable imbibition fronts in a disordered medium, in the regime of capillary disorder, for a wide range of experimental conditions. We have used silicone oils of various viscosities μ and nearly identical oil-air...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/97483 |
| Acceso en línea: | https://hdl.handle.net/2445/97483 |
| Access Level: | acceso abierto |
| Palabra clave: | Dinàmica de fluids Calci Capil·laritat Silicones Viscositat Velocitat Fluid dynamics Calcium Capillarity Viscosity Speed |
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Experimental study of stable imbibition displacements in a model open fracture. I. Local avalanche dynamicsClotet i Fons, XavierOrtín, Jordi, 1959-Santucci, StéphaneDinàmica de fluidsCalciCapil·laritatSiliconesViscositatVelocitatFluid dynamicsCalciumCapillaritySiliconesViscositySpeedWe report the results of an experimental investigation of the spatiotemporal dynamics of stable imbibition fronts in a disordered medium, in the regime of capillary disorder, for a wide range of experimental conditions. We have used silicone oils of various viscosities μ and nearly identical oil-air surface tension and forced them to slowly invade a model open fracture at different constant flow rates v. In this first part of the study we have focused on the local dynamics at a scale below the size of the quenched disorder. Changing μ and v independently, we have found that the dynamics is not simply controlled by the capillary number Ca ∼ μv. Specifically, we have found that the wide statistical distributions of local front velocities, and their large spatial correlations along the front, are indeed controlled by the capillary number Ca. However, local velocities exhibit also very large temporal correlations, and these correlations depend more strongly on the mean imposed velocity v than on the viscosity μ of the invading fluid. Correlations between local velocities lead to a burstlike dynamics. Avalanches, defined as clusters of large local velocities, follow power-law distributions both in size and duration with exponential cutoffs that diverge as Ca → 0, the pinning-depinning transition of stable imbibition displacements. Large data sets have led to reliable statistics, from which we have derived accurate values of critical exponents of the relevant power-law distributions. We have investigated also the dependence of their cutoffs on μ and v and related them to the autocorrelations of local velocities in space and time.American Physical Society2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/97483Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.93.012149Physical Review E, 2016, vol. 93, num. 1, p. 012149-1-012149-13http://dx.doi.org/10.1103/PhysRevE.93.012149(c) American Physical Society, 2016info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/974832026-05-27T06:46:51Z |
| dc.title.none.fl_str_mv |
Experimental study of stable imbibition displacements in a model open fracture. I. Local avalanche dynamics |
| title |
Experimental study of stable imbibition displacements in a model open fracture. I. Local avalanche dynamics |
| spellingShingle |
Experimental study of stable imbibition displacements in a model open fracture. I. Local avalanche dynamics Clotet i Fons, Xavier Dinàmica de fluids Calci Capil·laritat Silicones Viscositat Velocitat Fluid dynamics Calcium Capillarity Silicones Viscosity Speed |
| title_short |
Experimental study of stable imbibition displacements in a model open fracture. I. Local avalanche dynamics |
| title_full |
Experimental study of stable imbibition displacements in a model open fracture. I. Local avalanche dynamics |
| title_fullStr |
Experimental study of stable imbibition displacements in a model open fracture. I. Local avalanche dynamics |
| title_full_unstemmed |
Experimental study of stable imbibition displacements in a model open fracture. I. Local avalanche dynamics |
| title_sort |
Experimental study of stable imbibition displacements in a model open fracture. I. Local avalanche dynamics |
| dc.creator.none.fl_str_mv |
Clotet i Fons, Xavier Ortín, Jordi, 1959- Santucci, Stéphane |
| author |
Clotet i Fons, Xavier |
| author_facet |
Clotet i Fons, Xavier Ortín, Jordi, 1959- Santucci, Stéphane |
| author_role |
author |
| author2 |
Ortín, Jordi, 1959- Santucci, Stéphane |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Dinàmica de fluids Calci Capil·laritat Silicones Viscositat Velocitat Fluid dynamics Calcium Capillarity Silicones Viscosity Speed |
| topic |
Dinàmica de fluids Calci Capil·laritat Silicones Viscositat Velocitat Fluid dynamics Calcium Capillarity Silicones Viscosity Speed |
| description |
We report the results of an experimental investigation of the spatiotemporal dynamics of stable imbibition fronts in a disordered medium, in the regime of capillary disorder, for a wide range of experimental conditions. We have used silicone oils of various viscosities μ and nearly identical oil-air surface tension and forced them to slowly invade a model open fracture at different constant flow rates v. In this first part of the study we have focused on the local dynamics at a scale below the size of the quenched disorder. Changing μ and v independently, we have found that the dynamics is not simply controlled by the capillary number Ca ∼ μv. Specifically, we have found that the wide statistical distributions of local front velocities, and their large spatial correlations along the front, are indeed controlled by the capillary number Ca. However, local velocities exhibit also very large temporal correlations, and these correlations depend more strongly on the mean imposed velocity v than on the viscosity μ of the invading fluid. Correlations between local velocities lead to a burstlike dynamics. Avalanches, defined as clusters of large local velocities, follow power-law distributions both in size and duration with exponential cutoffs that diverge as Ca → 0, the pinning-depinning transition of stable imbibition displacements. Large data sets have led to reliable statistics, from which we have derived accurate values of critical exponents of the relevant power-law distributions. We have investigated also the dependence of their cutoffs on μ and v and related them to the autocorrelations of local velocities in space and time. |
| publishDate |
2016 |
| dc.date.none.fl_str_mv |
2016 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/2445/97483 |
| url |
https://hdl.handle.net/2445/97483 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.93.012149 Physical Review E, 2016, vol. 93, num. 1, p. 012149-1-012149-13 http://dx.doi.org/10.1103/PhysRevE.93.012149 |
| dc.rights.none.fl_str_mv |
(c) American Physical Society, 2016 info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
(c) American Physical Society, 2016 |
| eu_rights_str_mv |
openAccess |
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application/pdf |
| dc.publisher.none.fl_str_mv |
American Physical Society |
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American Physical Society |
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Articles publicats en revistes (Física Quàntica i Astrofísica) reponame:Dipòsit Digital de la UB instname:Universidad de Barcelona |
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Universidad de Barcelona |
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Dipòsit Digital de la UB |
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Dipòsit Digital de la UB |
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