Topological Mixing in Three-Dimensional Porous Media

Lester, D, Dentz, M and LeBorgne, T 2014, 'Topological Mixing in Three-Dimensional Porous Media', in Harun Chowdhury, Firoz Alam (ed.) Proceedings of the 19th Australasian Fluid Mechanics Conference 2014 Australasian Fluid Mechanics Society (AFMS 2014), Melbourne, Australia, 8-11 December 2014, pp. 1-4.

Document type: Conference Paper
Collection: Conference Papers

Title Topological Mixing in Three-Dimensional Porous Media
Author(s) Lester, D
Dentz, M
LeBorgne, T
Year 2014
Conference name AFMS 2014
Conference location Melbourne, Australia
Conference dates 8-11 December 2014
Proceedings title Proceedings of the 19th Australasian Fluid Mechanics Conference 2014 Australasian Fluid Mechanics Society (AFMS 2014)
Editor(s) Harun Chowdhury, Firoz Alam
Publisher Australasian Fluid Mechanics Society (AFMS)
Place of publication Melbourne, Australia
Start page 1
End page 4
Total pages 4
Abstract The topological complexity inherent to all porous media can impart complicated transport dynamics under steady flow conditions. Recently, it has been established [2] that such topological complexity imparts ubiquitous and persistent chaotic advection via a 3D fluid mechanical analogue of the baker's map. In the presence of molecular diffusion, chaotic Lagrangian dynamics are well-known to impart anomalous transport and rapidly accelerated mixing, however this phenomenon has received little attention in the context of porous media flow. In this paper we consider the impact of chaotic advection upon transport and mixing of a continuously injected dye plume in a model 3D porous network which consists of randomly connected pore branches and mergers. Punctuated stretching of fluid elements during advection through the random network is described by a novel stretching continuous time random walk (CTRW) which captures fluid deformation and scalar dispersion in the model network. This model indicates that chaotic mixing in 3D topologically complex media exponentially accelerates mixing and scalar dissipation across all Peclet numbers, from diffusion dominated (Pe=100) to advection-dominated (Pe=10^8) transport. Whilst the CTRW model is highly idealised, the critical features of this model (no-slip boundary condition, topological complexity) are inherent to almost all porous media
Subjects Fluidisation and Fluid Mechanics
Copyright notice Copyright © 2014 Australasian Fluid Mechanics Society. Systematic reproduction and distribution, duplication of any material in this paper for any financial profit or for commercial purposes, or modification of the content of the paper are prohibited.
ISBN 9780646596952
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