Computational Technology Resources - CSETS

E. Rohan, V. Luke, "Multiscale Modelling of Deformable Porous Media with Large Contrasts in the Permeability using Homogenization", in J. Kruis, Y. Tsompanakis and B.H.V. Topping, (Editors), "Computational Techniques for Civil and Structural Engineering", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 17, pp 389-416, 2015. doi:10.4203/csets.38.17

Keywords: fluid saturated porous media, perfusion, double porosity, homogenization, large contrast permeability, Biot model, Darcy flow.

Abstract

The paper deals with two scale modelling of fluid saturated porous media using the homogenization approach. It focuses on the materials which, at the mesoscopic level of heterogeneities characterized by a size epsilon, are featured by large contrasts in the hydraulic permeability, as the consequence of the underlying microstructure. The mesoscopic models considered in the paper represent the Biot continuum with periodic, or locally periodic material coefficients. The permeability tensor is scaled by epsilon² in subdomains occupied by the less permeable material which is associated with the "dual porosity". This paper records results of several authors contributions in this field. Namely, the homogenized models are presented, and the influence of the topology of the representative cell decomposition in the context of the dual porosity is demonstrated. Computational homogenization is explained for modelling the finite deforming porous material treated by an incremental formulation.

purchase the full-text of this chapter (price £20)

go to the previous chapter
go to the next chapter
return to the table of contents
return to the book description
purchase this book (price £95 +P&P)

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Computational Science, Engineering & Technology Series ISSN 1759-3158 CSETS: 38 COMPUTATIONAL TECHNIQUES FOR CIVIL AND STRUCTURAL ENGINEERING Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping Chapter 17 Multiscale Modelling of Deformable Porous Media with Large Contrasts in the Permeability using Homogenization E. Rohan and V. Lukeš New Technologies for Information Society, European Centre of Excellence, Faculty of Applied Sciences, University of West Bohemia, Plzen, Czech Republic doi:10.4203/csets.38.17 purchase the full-text of this chapter Full Bibliographic Reference for this chapter E. Rohan, V. Luke, "Multiscale Modelling of Deformable Porous Media with Large Contrasts in the Permeability using Homogenization", in J. Kruis, Y. Tsompanakis and B.H.V. Topping, (Editors), "Computational Techniques for Civil and Structural Engineering", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 17, pp 389-416, 2015. doi:10.4203/csets.38.17 Keywords: fluid saturated porous media, perfusion, double porosity, homogenization, large contrast permeability, Biot model, Darcy flow. Abstract The paper deals with two scale modelling of fluid saturated porous media using the homogenization approach. It focuses on the materials which, at the mesoscopic level of heterogeneities characterized by a size epsilon, are featured by large contrasts in the hydraulic permeability, as the consequence of the underlying microstructure. The mesoscopic models considered in the paper represent the Biot continuum with periodic, or locally periodic material coefficients. The permeability tensor is scaled by epsilon² in subdomains occupied by the less permeable material which is associated with the "dual porosity". This paper records results of several authors contributions in this field. Namely, the homogenized models are presented, and the influence of the topology of the representative cell decomposition in the context of the dual porosity is demonstrated. Computational homogenization is explained for modelling the finite deforming porous material treated by an incremental formulation. purchase the full-text of this chapter (price £20) go to the previous chapter go to the next chapter return to the table of contents return to the book description purchase this book (price £95 +P&P)
Back to top	©Civil-Comp Limited 2023 - terms & conditions