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Fluids 2017, 2(2), 32; doi:10.3390/fluids2020032

Dynamics of a Highly Viscous Circular Blob in Homogeneous Porous Media

1
Department of Mathematics, Indian Institute of Technology Ropar, 140001 Rupnagar, India
2
Nordic Institute for Theoretical Physics (NORDITA), KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, 10691 Stockholm, Sweden
*
Author to whom correspondence should be addressed.
Academic Editors: Antonio Barletta and D. Andrew S. Rees
Received: 29 March 2017 / Revised: 26 May 2017 / Accepted: 6 June 2017 / Published: 11 June 2017
(This article belongs to the Special Issue Convective Instability in Porous Media)
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Abstract

Viscous fingering is ubiquitous in miscible displacements in porous media, in particular, oil recovery, contaminant transport in aquifers, chromatography separation, and geological CO2 sequestration. The viscosity contrasts between heavy oil and water is several orders of magnitude larger than typical viscosity contrasts considered in the majority of the literature. We use the finite element method (FEM)-based COMSOL Multiphysics simulator to simulate miscible displacements in homogeneous porous media with very large viscosity contrasts. Our numerical model is suitable for a wide range of viscosity contrasts covering chromatographic separation as well as heavy oil recovery. We have successfully captured some interesting and previously unexplored dynamics of miscible blobs with very large viscosity contrasts in homogeneous porous media. We study the effect of viscosity contrast on the spreading and the degree of mixing of the blob. Spreading (variance of transversely averaged concentration) follows the power law t 3 . 34 for the blobs with viscosity O ( 10 2 ) and higher, while degree of mixing is found to vary non-monotonically with log-mobility ratio. Moreover, in the limit of very large viscosity contrast, the circular blob behaves like an erodible solid body and the degree of mixing approaches the viscosity-matched case. View Full-Text
Keywords: miscible viscous fingering; mixing of blob; COMSOL multiphysics miscible viscous fingering; mixing of blob; COMSOL multiphysics
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Sharma, V.; Pramanik, S.; Mishra, M. Dynamics of a Highly Viscous Circular Blob in Homogeneous Porous Media. Fluids 2017, 2, 32.

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