2017
DOI: 10.1016/j.mechrescom.2016.09.011
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Interaction between crack tip advancement and fluid flow in fracturing saturated porous media

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Cited by 34 publications
(19 citation statements)
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“…In this paper we attempt to use a more rigorous approach to define the most appropriate -efficient and accurate -approximations. As this topic is of great interest to both scientific and industrial communities in recent years; including investigation of the effect on fracture propagation at the pore scale [1,24,27,28], as well as the recent work on an effective macroscale homogenisation of the toughness in [2]. Our work and objectives are quite similar to the latter, yet, we feel, complementary to theirs.…”
Section: Introductionmentioning
confidence: 75%
“…In this paper we attempt to use a more rigorous approach to define the most appropriate -efficient and accurate -approximations. As this topic is of great interest to both scientific and industrial communities in recent years; including investigation of the effect on fracture propagation at the pore scale [1,24,27,28], as well as the recent work on an effective macroscale homogenisation of the toughness in [2]. Our work and objectives are quite similar to the latter, yet, we feel, complementary to theirs.…”
Section: Introductionmentioning
confidence: 75%
“…It is important to note that if the time step size is increased such that the fracture propagates at least once during each time step, these steps in the fracture propagation will disappear since the propagation is assumed to occur as part of the time step. This is in contrast to fracture propagation schemes that assumes the fracture to propagate in between time steps, 40,41 where these steps will remain independent of the used temporal discretization.…”
Section: Stepwise Fracture Propagationmentioning
confidence: 99%
“…Simulations exhibiting stepwise fracture propagation were, however, published in Refs. 40, 41, but the numerical scheme employed may have promoted this phenomenon. Stepwise propagation of pressurized fractures that are independent of the element size has also been shown using a hybrid peridynamics/finite element approach, 42 resulting in pressure oscillations at the inlet similar to those observed experimentally.…”
Section: Introductionmentioning
confidence: 99%
“…Also, faster loading than required above is possible, but then we may not be able to discern individual avalanches anymore. Clearly the avalanche behavior of the breaking events entails pressure oscillations with irregular intervals and amplitudes, which persist also in homogeneous media [1,36]. Satisfying condition i) and ii) implies that there should be no restriction on the fracture velocity i.e.…”
Section: Self-organization Of Rupturementioning
confidence: 99%