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

T.D. Cao, E. Milanese, E.W. Remij, P. Rizzato, J.J.C. Remmers, L. Simoni, J.M.R.J. Huyghe, F. Hussain, B.A. Schrefler

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

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.

Keywords
Fracturing in dry and saturated geomaterials; Central force model; Finite elements and extended finite elements; Intermittent crack tip advancement; Pressure oscillations
LanguageEnglish
Pages24–37
Number of pages14
JournalMechanics Research Communications
Volume80
Early online date1 Oct 2016
DOIs
StatePublished - 2017

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fracturing
crack tips
Crack tips
fluid flow
Porous materials
Flow of fluids
interactions
Fluids
fluids
finite element method
cracks
Cracks
pressure oscillations
Finite element method
seepage
Hydraulic fracturing
Seepage
hydraulics
Boundary conditions
boundary conditions

Cite this

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./ Interaction between crack tip advancement and fluid flow in fracturing saturated porous media. In: Mechanics Research Communications. 2017 ; Vol. 80. pp. 24–37
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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.

In: Mechanics Research Communications, Vol. 80, 2017, p. 24–37.

Research output: Contribution to journalArticleAcademicpeer-review

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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

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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

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