A two-scale approach for fluid flow in fracturing porous media

R. Borst, de; J. Rethore; M.A. Abellan

A two-scale approach for fluid flow in fracturing porous media

R. Borst, de, J. Rethore, M.A. Abellan

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

A derivation is given of two-scale models that are able to describe defornlation and fluid flow in a progressively fracturing porous medium. From the micromechanics of the flow in the cavity, identities are derived that couple the local momentum and the mass balances to the governing equations for a porous medium, which are assumed to hold on the macroscopic scale. By exploiting the partition-of-unity property of the finite element shape functions, the position and direction of the fractures are independent from the underlying discretization. The finite element equations are derived for this two-scale approach and integrated over time. The resulting discrete equations are nonlinear due and the non-linearity of the coupling terms and the possible use of a cohesive crack model. Examples are given to show the versatility of the approach.

Original language	English
Title of host publication	Computational Modelling of Concrete Structures (EURO-C 2010) 15-18 March 2010, Rohrmoos/Schladming, Austria
Editors	N. Bicanic, R. Borst, H. Mang, G. Meschke
Place of Publication	Austria, EURO-C 2010, Rohrmoos/Schladming, 15-18 March 2010
Publisher	Taylor and Francis Ltd.
Pages	451-460
ISBN (Print)	978-0-415-58479-1
Publication status	Published - 2010

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Borst, de, R. ; Rethore, J. ; Abellan, M.A. / A two-scale approach for fluid flow in fracturing porous media. Computational Modelling of Concrete Structures (EURO-C 2010) 15-18 March 2010, Rohrmoos/Schladming, Austria. editor / N. Bicanic ; R. Borst ; H. Mang ; G. Meschke. Austria, EURO-C 2010, Rohrmoos/Schladming, 15-18 March 2010 : Taylor and Francis Ltd., 2010. pp. 451-460

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abstract = "A derivation is given of two-scale models that are able to describe defornlation and fluid flow in a progressively fracturing porous medium. From the micromechanics of the flow in the cavity, identities are derived that couple the local momentum and the mass balances to the governing equations for a porous medium, which are assumed to hold on the macroscopic scale. By exploiting the partition-of-unity property of the finite element shape functions, the position and direction of the fractures are independent from the underlying discretization. The finite element equations are derived for this two-scale approach and integrated over time. The resulting discrete equations are nonlinear due and the non-linearity of the coupling terms and the possible use of a cohesive crack model. Examples are given to show the versatility of the approach.",

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editor = "N. Bicanic and R. Borst and H. Mang and G. Meschke",

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publisher = "Taylor and Francis Ltd.",

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A two-scale approach for fluid flow in fracturing porous media. / Borst, de, R.; Rethore, J.; Abellan, M.A.
Computational Modelling of Concrete Structures (EURO-C 2010) 15-18 March 2010, Rohrmoos/Schladming, Austria. ed. / N. Bicanic; R. Borst; H. Mang; G. Meschke. Austria, EURO-C 2010, Rohrmoos/Schladming, 15-18 March 2010: Taylor and Francis Ltd., 2010. p. 451-460.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - A two-scale approach for fluid flow in fracturing porous media

AU - Borst, de, R.

AU - Rethore, J.

AU - Abellan, M.A.

PY - 2010

Y1 - 2010

N2 - A derivation is given of two-scale models that are able to describe defornlation and fluid flow in a progressively fracturing porous medium. From the micromechanics of the flow in the cavity, identities are derived that couple the local momentum and the mass balances to the governing equations for a porous medium, which are assumed to hold on the macroscopic scale. By exploiting the partition-of-unity property of the finite element shape functions, the position and direction of the fractures are independent from the underlying discretization. The finite element equations are derived for this two-scale approach and integrated over time. The resulting discrete equations are nonlinear due and the non-linearity of the coupling terms and the possible use of a cohesive crack model. Examples are given to show the versatility of the approach.

AB - A derivation is given of two-scale models that are able to describe defornlation and fluid flow in a progressively fracturing porous medium. From the micromechanics of the flow in the cavity, identities are derived that couple the local momentum and the mass balances to the governing equations for a porous medium, which are assumed to hold on the macroscopic scale. By exploiting the partition-of-unity property of the finite element shape functions, the position and direction of the fractures are independent from the underlying discretization. The finite element equations are derived for this two-scale approach and integrated over time. The resulting discrete equations are nonlinear due and the non-linearity of the coupling terms and the possible use of a cohesive crack model. Examples are given to show the versatility of the approach.

M3 - Conference contribution

SN - 978-0-415-58479-1

SP - 451

EP - 460

BT - Computational Modelling of Concrete Structures (EURO-C 2010) 15-18 March 2010, Rohrmoos/Schladming, Austria

A2 - Bicanic, N.

A2 - Borst, R.

A2 - Mang, H.

A2 - Meschke, G.

PB - Taylor and Francis Ltd.

CY - Austria, EURO-C 2010, Rohrmoos/Schladming, 15-18 March 2010

ER -

A two-scale approach for fluid flow in fracturing porous media

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