### Abstract

Keywords

Fracturing in dry and saturated geomaterials; Central force model; Finite elements and extended finite elements; Intermittent crack tip advancement; Pressure oscillations

Language | English |
---|---|

Pages | 24–37 |

Number of pages | 14 |

Journal | Mechanics Research Communications |

Volume | 80 |

Early online date | 1 Oct 2016 |

DOIs | |

State | Published - 2017 |

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*Mechanics Research Communications*,

*80*, 24–37. DOI: 10.1016/j.mechrescom.2016.09.011

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*Mechanics Research Communications*, vol. 80, pp. 24–37. DOI: 10.1016/j.mechrescom.2016.09.011

**Interaction between crack tip advancement and fluid flow in fracturing saturated porous media.** / Cao, T.D.; Milanese, E.; Remij, E.W.; Rizzato, P.; Remmers, J.J.C.; Simoni, L. ; Huyghe, J.M.R.J.; Hussain, F.; Schrefler, B.A.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Interaction between crack tip advancement and fluid flow in fracturing saturated porous media

AU - Cao,T.D.

AU - Milanese,E.

AU - Remij,E.W.

AU - Rizzato,P.

AU - Remmers,J.J.C.

AU - Simoni,L.

AU - Huyghe,J.M.R.J.

AU - Hussain,F.

AU - Schrefler,B.A.

PY - 2017

Y1 - 2017

N2 - We address stepwise crack tip advancement and pressure fluctuations, which have been observed in the field and experimentally in fracturing saturated porous media. Both fracturing due to mechanical loading and pressure driven fracture are considered. After presenting the experimental evidence and the different explanations for the phenomena put forward and mentioning briefly what has been obtained so far by published numerical and analytical methods we propose our explanation based on Biot’s theory. A short presentation of three methods able to simulate the observed phenomena namely the Central Force Model, the Standard Galerkin Finite Element Method SGFEM and extended finite element method XFEM follows. With the Central Force Model it is evidenced that already dry geomaterials break in an intermittent fashion and that the presence of a fluid affects the behavior more or less depending on the loading and boundary conditions. Examples dealing both with hydraulic fracturing and mechanical loading are shown. The conditions needed to reproduce the observed phenomena with FE models at macroscopic level are evidenced. They appear to be the adoption of a crack tip advancement/time step algorithm which interferes the least possible with the three interacting velocities, namely the crack tip advancement velocity on one side, the seepage velocity of the fluid in the domain and from the crack (leak-off), and the fluid velocity within the crack on the other side. Further the crack tip advancement algorithm must allow for reproducing jumps observed in the experiments.KeywordsFracturing in dry and saturated geomaterials; Central force model; Finite elements and extended finite elements; Intermittent crack tip advancement; Pressure oscillations

AB - We address stepwise crack tip advancement and pressure fluctuations, which have been observed in the field and experimentally in fracturing saturated porous media. Both fracturing due to mechanical loading and pressure driven fracture are considered. After presenting the experimental evidence and the different explanations for the phenomena put forward and mentioning briefly what has been obtained so far by published numerical and analytical methods we propose our explanation based on Biot’s theory. A short presentation of three methods able to simulate the observed phenomena namely the Central Force Model, the Standard Galerkin Finite Element Method SGFEM and extended finite element method XFEM follows. With the Central Force Model it is evidenced that already dry geomaterials break in an intermittent fashion and that the presence of a fluid affects the behavior more or less depending on the loading and boundary conditions. Examples dealing both with hydraulic fracturing and mechanical loading are shown. The conditions needed to reproduce the observed phenomena with FE models at macroscopic level are evidenced. They appear to be the adoption of a crack tip advancement/time step algorithm which interferes the least possible with the three interacting velocities, namely the crack tip advancement velocity on one side, the seepage velocity of the fluid in the domain and from the crack (leak-off), and the fluid velocity within the crack on the other side. Further the crack tip advancement algorithm must allow for reproducing jumps observed in the experiments.KeywordsFracturing in dry and saturated geomaterials; Central force model; Finite elements and extended finite elements; Intermittent crack tip advancement; Pressure oscillations

U2 - 10.1016/j.mechrescom.2016.09.011

DO - 10.1016/j.mechrescom.2016.09.011

M3 - Article

VL - 80

SP - 24

EP - 37

JO - Mechanics Research Communications

T2 - Mechanics Research Communications

JF - Mechanics Research Communications

SN - 0093-6413

ER -