An isogeometric analysis approach to fluid flow in a fractured porous medium

Faisal Irzal, Joris J C Remmers, Clemens V. Verhoosel, René De Borst

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

1 Citaat (Scopus)


In this paper we present an isogeometric approach for calculating fluid flow in a fractured porous medium. The fluid flow away from the crack is modelled using Darcy's relation. A similar relation is assumed for the fluid flow inside the crack. Here, the higher porosity is modelled using a different permeability. An isogeometric analysis approach with B-splines is used for both the parametrisation of the geometry and the discretisation of the weak form of the equilibrium equations. The crack is described in a discrete manner by using the continuity reduction property of the B-splines. To ease the integration into existing finite element technology, a finite element data structure based on B'ezier extraction is used. The B'ezier extraction operator decomposes the B-spline based elements to B'ezier elements which bear a close resemblance to Lagrange elements. The global smoothness of B-splines is localized to an element level similar to finite element analysis, making isogeometric analysis compatible with existing finite element codes while still exploiting the excellent properties of the spline basis functions. The results of the new model are demonstrated in an example in which the fluid flow is considered around a crack in a specimen under mode-I loading.

Originele taal-2Engels
TitelPoromechanics V - Proceedings of the 5th Biot Conference on Poromechanics (in memory of Karl von Terzaghi, 1883-1963), July 10-12, 2013, Vienna, Austria
RedacteurenC. Hellmich
Plaats van productieNew York
UitgeverijAmerican Society of Civil Engineers
Aantal pagina's10
ISBN van geprinte versie9780784412992
StatusGepubliceerd - 2013
Evenement5th Biot Conference on Poromechanics - Vienna, Oostenrijk
Duur: 10 jul. 201312 jul. 2013
Congresnummer: 5


Congres5th Biot Conference on Poromechanics
Verkorte titelBIOT 2013
AnderFifth Biot Conference on Poromechanics
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