Multiscale modelling of hydraulic conductivity in vuggy porous media
Multiscale modelling of hydraulic conductivity in vuggy porous media
Flow in both saturated and non-saturated vuggy porous media, i.e., soil, is inherently multiscale. The complex microporous structure of the soil aggregates and the wider vugs provides a multitude of flow pathways and has received significant attention from the X-ray CT community with a constant drive to image at higher resolution. Using multiscale homogenization we derive averaged equations to study the effects of the microscale structure on the macroscopic flow. The averaged model captures the underlying geometry through a series of cell problems and is verified through direct comparison to numerical simulations of the full structure. These methods offer significant reductions in computation time and allow us to perform 3D calculations with complex geometries on a desktop PC. The results show that the surface roughness of the aggregate has a significantly greater effect on the flow than the microstructure within the aggregate. Hence, this is the region in which the resolution of X-ray CT for image based modelling has the greatest impact.
multiscale modelling, image based modelling, x-ray ct, soil water flow
1-22
Daly, Keith R.
64f85c2e-2562-44df-9cb8-1be7fbc7e74c
Roose, Tiina
3581ab5b-71e1-4897-8d88-59f13f3bccfe
February 2014
Daly, Keith R.
64f85c2e-2562-44df-9cb8-1be7fbc7e74c
Roose, Tiina
3581ab5b-71e1-4897-8d88-59f13f3bccfe
Daly, Keith R. and Roose, Tiina
(2014)
Multiscale modelling of hydraulic conductivity in vuggy porous media.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470 (2162), .
(doi:10.1098/rspa.2013.0383).
Abstract
Flow in both saturated and non-saturated vuggy porous media, i.e., soil, is inherently multiscale. The complex microporous structure of the soil aggregates and the wider vugs provides a multitude of flow pathways and has received significant attention from the X-ray CT community with a constant drive to image at higher resolution. Using multiscale homogenization we derive averaged equations to study the effects of the microscale structure on the macroscopic flow. The averaged model captures the underlying geometry through a series of cell problems and is verified through direct comparison to numerical simulations of the full structure. These methods offer significant reductions in computation time and allow us to perform 3D calculations with complex geometries on a desktop PC. The results show that the surface roughness of the aggregate has a significantly greater effect on the flow than the microstructure within the aggregate. Hence, this is the region in which the resolution of X-ray CT for image based modelling has the greatest impact.
Text
Daly-Roose 2013 prsa_accepted.pdf
- Author's Original
More information
e-pub ahead of print date: 11 December 2013
Published date: February 2014
Keywords:
multiscale modelling, image based modelling, x-ray ct, soil water flow
Organisations:
Bioengineering Group
Identifiers
Local EPrints ID: 359771
URI: http://eprints.soton.ac.uk/id/eprint/359771
ISSN: 1364-5021
PURE UUID: ed55cbe1-6933-44cd-ab29-80d07e122807
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Date deposited: 12 Nov 2013 11:59
Last modified: 15 Mar 2024 03:31
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Author:
Keith R. Daly
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