The enhanced local pressure model for the accurate analysis of fluid pressure driven fracture in porous materials

Remij, EW Ernst; Remmers, Jjc Joris; Huyghe, Jmrj Jacques; Smeulders, David

doi:10.1016/j.cma.2014.12.025

Cited by 62 publications

(34 citation statements)

References 38 publications

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“…However, from a physical point of view the case that the pressure is the same at both sides of the interface may be less relevant, and its treatment is not pursued here. The most general case is when the pressures at both sides of the crack are allowed to differ, and can be different from the fluid pressure within the crack as well, a model with three pressure nodes ensues [25]. It is finally noted that all three options result in a pressure gradient which can be discontinuous, allowing for storage and fluid flow within the discontinuity.…”

Section: Poromechanical Interface Elementsmentioning

confidence: 99%

A classification of poromechanical interface elements

Borst

2017

Journal of Modeling in Mechanics and Materials

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Abstract:Interface elements are a classical approach to represent discrete cracks, joints and faults. The basic kinematic and constitutive aspects are recapitulated and the extension to hydromechanical conditions is elaborated. A classification is presented of hydromechanical interface elements, depending on the multiplicity of the pressure degree of freedom, and the physical implications of the different possibilities are explained.

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Section: Poromechanical Interface Elementsmentioning

confidence: 99%

A classification of poromechanical interface elements

Borst

2017

Journal of Modeling in Mechanics and Materials

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“…We refer to [28] for more details about the balance equation and the corresponding boundary conditions.…”

Section: Balance Equationsmentioning

confidence: 99%

“…More details about the constitutive equations, linearization and time integration can be found in [28].…”

Section: Discretizationmentioning

confidence: 99%

“…We follow the kinematic relations as described in [28]. Consider the body , which contains m discontinuities, see .…”

Section: Kinematic Relationsmentioning

confidence: 99%

“…The enhanced local pressure (ELP) model, based on the X-FEM approach, has been developed specifically for hydraulic fracturing in very low permeable rocks [28]. The pressure is assumed to be discontinuous over the fracture to prevent the necessity to resolve the very steep pressure gradient near the fracture surface.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On the numerical simulation of crack interaction in hydraulic fracturing

et al. 2017

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In this paper, we apply the enhanced local pressure (ELP) model to study crack interaction in hydraulic fracturing. The method is based on the extended finite element method (X-FEM) where the pressure and the displacement fields are assumed to be discontinuous over the fracture exploiting the partition of unity property of finite element shape functions. The material is fully saturated and Darcy's law describes the fluid flow in the material. The fracture process is described by a cohesive tractionseparation law, whereas the pressure in the fracture is included by an additional degree of freedom. Interaction of a hydraulic fracture with a natural fracture is considered by assuming multiple discontinuities in the domain. The model is able to capture several processes, such as fracture arrest on the natural fracture, or hydraulic fractures that cross the natural fracture. Fluid is able to flow from the hydraulic fracture into the natural fracture. Two numerical criteria are implemented to determine whether or not the fracture is crossing or if fluid diversion occurs. Computational results showing the performance of the model and the effectiveness of the two criteria are presented. The influence of the angle between a hydraulic fracture and a natural fracture on the interaction behaviour is compared with experimental results and theoretical data.

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Multiple Hydraulic Fractures Growth from a Highly Deviated Well

Zhou¹,

Yang²

2022

Mechanics of Hydraulic Fracturing

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The enhanced local pressure model for the accurate analysis of fluid pressure driven fracture in porous materials

Cited by 62 publications

References 38 publications

A classification of poromechanical interface elements

A classification of poromechanical interface elements

On the numerical simulation of crack interaction in hydraulic fracturing

Multiple Hydraulic Fractures Growth from a Highly Deviated Well

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