Linear stability analysis of time-dependent immiscible flow displacements in porous media

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dc.contributor.author Lins, T.F. en
dc.contributor.author Azaiez, J. en
dc.date.accessioned 2017-08-28T07:07:30Z
dc.date.available 2017-08-28T07:07:30Z
dc.date.issued 2016 en
dc.description Papers presented to the 12th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Costa de Sol, Spain on 11-13 July 2016. en
dc.description.abstract Flow displacements in porous media are encountered in a wide variety of fields, in particular in the energy and environmental sectors. Such flows are prone to a hydrodynamic instability that develops as a result of differences in the physical properties of the different fluids, namely their viscosity and/or density. A simple and inexpensive way to attenuate the instabilities is to implement time-dependent injection schemes. In this study, flows in radial two- dimensional homogeneous porous media are modelled. A low-viscosity fluid is injected radially at the centre of the cell to displace a more viscous one. The model equations are developed and a linear stability analysis is carried out. Different time-dependent velocity profiles are considered and the effects of different flow parameters are analysed and compared with the corresponding constant injection velocity flows. For consistency, the comparisons are conducted on the basis that all injection schemes including the constant one, result in the same total amount of injected fluid. Qualitative analyses are conducted using different measures of the growth of the instability and are used to determine the changes induced by the time-dependent injections. These changes in the flow dynamics can be used to control the degree of mixing between the two fluids and to optimize a variety of flow displacements in porous media. en
dc.format.extent 6 pages en
dc.format.medium PDF en
dc.identifier.uri http://hdl.handle.net/2263/61861
dc.language.iso en en
dc.publisher HEFAT en
dc.rights University of Pretoria en
dc.subject Linear stability en
dc.subject Porous media en
dc.title Linear stability analysis of time-dependent immiscible flow displacements in porous media en
dc.type Presentation en


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