A homogenised model for flow, transport and sorption in a heterogeneous porous medium

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dc.contributor.author Auton, Lucy C.
dc.contributor.author Pramanik, Satyajit
dc.contributor.author Dalwadi, Mohit P.
dc.contributor.author MacMinn, Christopher W.
dc.contributor.author Griffiths, Ian M.
dc.date.accessioned 2021-02-05T14:54:03Z
dc.date.available 2021-02-05T14:54:03Z
dc.date.issued 2021-01
dc.identifier.citation Auton, Lucy C.; Pramanik, Satyajit; Dalwadi, Mohit P.; MacMinn, Christopher W. and Griffiths, Ian M., "A homogenised model for flow, transport and sorption in a heterogeneous porous medium", arXiv, Cornell University Library, DOI: arXiv:2101.07362, Jan. 2021. en_US
dc.identifier.uri http://arxiv.org/abs/2101.07362
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/6264
dc.description.abstract A major challenge in flow through porous media is to better understand the link between pore-scale microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation theory can be used for this purpose. Here, we consider a two-dimensional microstructure comprising an array of circular obstacles, the size and spacing of which can vary along the length of the porous medium.We use homogenisation via the method of multiple scale to systematically upscale a novel problem that involves cells of varying area to obtain effective continuum equations for macroscale flow and transport. The equations are characterized by the local porosity, an effective local anisotropic flow permeability, and an effective local anisotropic solute diffusivity. These macroscale properties depend non-trivially on both degrees of microstructural geometric freedom (obstacle size and spacing). We take advantage of this dependence to compare scenarios where the same porosity field is constructed with different combinations of obstacle size and spacing. For example, we consider scenarios where the porosity is spatially uniform but the permeability and diffusivity are not. Our results may be useful in the design of filters, or for studying the impact of deformation on transport in soft porous media.
dc.description.statementofresponsibility by Lucy C. Auton, Satyajit Pramanik, Mohit P. Dalwadi, Christopher W. MacMinn and Ian M. Griffiths
dc.language.iso en_US en_US
dc.publisher Cornell University Library en_US
dc.subject Physics en_US
dc.subject Fluid Dynamics en_US
dc.title A homogenised model for flow, transport and sorption in a heterogeneous porous medium en_US
dc.type Pre-Print en_US
dc.relation.journal arXiv


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