## Abstract

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.

Original language | English |
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Title of host publication | Poromechanics V - Proceedings of the 5th Biot Conference on Poromechanics (in memory of Karl von Terzaghi, 1883-1963), July 10-12, 2013, Vienna, Austria |

Editors | C. Hellmich |

Place of Publication | New York |

Publisher | American Society of Civil Engineers |

Pages | 872-881 |

Number of pages | 10 |

ISBN (Print) | 9780784412992 |

DOIs | |

Publication status | Published - 2013 |

Event | 5th Biot Conference on Poromechanics - Vienna, Austria Duration: 10 Jul 2013 → 12 Jul 2013 Conference number: 5 http://biot2013.conf.tuwien.ac.at/ |

### Conference

Conference | 5th Biot Conference on Poromechanics |
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Abbreviated title | BIOT 2013 |

Country/Territory | Austria |

City | Vienna |

Period | 10/07/13 → 12/07/13 |

Internet address |