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

Cao, Toan Duc; Milanese, Enrico; Remij, Ernst W.; Rizzato, Paolo; Remmers, Jjc Joris; Simoni, L.; Huyghe, Jmrj Jacques; Hussain, Fazle; Schrefler, Bernhard A.

doi:10.1016/j.mechrescom.2016.09.011

Cited by 34 publications

(19 citation statements)

References 71 publications

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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%

Periodic toughness distribution -- Can an average toughness concept be feasible? Case study: KGD fracture in an impermeable rock

Fies¹,

Peck²,

Dutko³

et al. 2022

Preprint

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The process of hydraulic fracture through heterogeneous rock with variable material toughness is considered. Numerical simulations are used to examine the effectiveness of differing strategies for homogenising this parameter: the maximum toughness strategy and a newly proposed temporal averaging based approach. We restrict ourselves to periodic distributions and consider only the KGD model without leak-off, allowing us to easily investigate different regimes (toughness/viscosity). Simulations are conducted using an extremely effective (in house-built) time-space adaptive solver. The regimes in which each strategy is effective are determined. It is demonstrated that an averaging based approach can be proposed that incorporates crucial aspects of the process behaviour.

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Section: Introductionmentioning

confidence: 75%

Periodic toughness distribution -- Can an average toughness concept be feasible? Case study: KGD fracture in an impermeable rock

Fies¹,

Peck²,

Dutko³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…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%

Stick‐slip like behavior in shear fracture propagation including the effect of fluid flow

Hageman

Borst

2021

Num Anal Meth Geomechanics

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Shear‐based fracture propagation in fluid‐saturated porous materials is investigated using a displacement–pressure formulation that includes acceleration and inertial effects of the fluid. Pressure‐dependent plasticity with a nonassociated flow rule is adopted to realistically represent the stresses in the porous bulk material. The domain is discretized using unequal order T‐splines and cast into a finite element method using Bézier extraction. An implicit scheme is used for the temporal integration. The solid acceleration‐driven fluid flow reacts to stress waves, but it results in pressure oscillations. Adding fluid acceleration terms dampens these oscillations and increases the fluid pressure near the fracture tips. By simulating a typical shear fracture case, it is shown that stick‐slip like, or stepwise, fracture propagation occurs for a high permeability, also upon mesh refinement. The acceleration driven fluid flow results in a build‐up of pressure near the fracture tip. Once this pressure region encompasses the fracture tip, propagation arrests until the pressure has diffused away from the crack tip, after which propagation is resumed and the build‐up of pressure begins anew. This results in a stick‐slip like behavior, with large arrests in the fracture propagation. Stepwise propagation related to the initial conditions has also been observed, but disappears once the fracture length exceeds the size of the region influenced by the initial conditions.

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“…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%

Dynamics of fracturing saturated porous media and self-organization of rupture

Peruzzo

Cao

Milanese

et al. 2019

European Journal of Mechanics - A/Solids

Self Cite

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Analytical solutions and a vast majority of numerical ones for fracture propagation in saturated porous media yield smooth behavior while experiments, field observations and a few numerical solutions reveal stepwise crack advancement and pressure oscillations. To explain this fact, we invoke selforganization of rupture observed in fracturing solids, both dry and fully saturated, when two requirements are satisfied: i) the external drive has a much slower timescale than fracture propagation; and ii) the increment of the external load (drive) is applied only when the internal rearrangement of fracture is over. These requirements are needed to obtain clean Self Organised Criticality (SOC) in quasi-static situations. They imply that there should be no restriction on the fracture velocity i.e. algorithmically the fracture advancement rule should always be independent of the crack velocity. Generally, this is not the case when smooth answers are obtained which are often unphysical. Under the above conditions hints of Self Organized Criticality are evident in heterogeneous porous media in quasi-static conditions using a lattice model, showing stepwise advancement of the fracture and pressure oscillations. We extend this model to incorporate inertia forces and show that this behavior still holds. By incorporating the above requirements in numerical fracture advancement algorithms for cohesive fracture in saturated porous continua we also reproduce stepwise advancements and pressure oscillations both in quasi-static and dynamic situations. Since dynamic tests of dry specimens show that the fracture advancement velocity is not constant we replicate such an effect with a model of a debonding beam on elastic foundation. This is the first step before introducing the interaction with a fluid.

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

Cited by 34 publications

References 71 publications

Periodic toughness distribution -- Can an average toughness concept be feasible? Case study: KGD fracture in an impermeable rock

Periodic toughness distribution -- Can an average toughness concept be feasible? Case study: KGD fracture in an impermeable rock

Stick‐slip like behavior in shear fracture propagation including the effect of fluid flow

Dynamics of fracturing saturated porous media and self-organization of rupture

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