A three‐dimensional hydraulic fracturing simulator

Vandamme, L.; Curran, J.H.

doi:10.1002/nme.1620280413

Cited by 87 publications

(35 citation statements)

References 20 publications

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“…DDMbased methods have been widely used in simulating hydraulic fracturing in two and three dimensions for homogeneous as well as multi-layered medium ( see Vandamme and Curran (1989) A number of other types of BEM-based formulation for crack problems have also been used in the hydraulic fracturing context. Among those, the Symmetric Galerkin BEM (SGBEM) is a conforming method to enforce variable continuity across element boundaries based on shape function like in the finite element method (see e.g.…”

Section: Boundary Element Schemesmentioning

confidence: 99%

Numerical methods for hydraulic fracture propagation: A review of recent trends

Lecampion

Bunger

Zhang

2018

Journal of Natural Gas Science and Engineering

343

172

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Section: Boundary Element Schemesmentioning

confidence: 99%

Numerical methods for hydraulic fracture propagation: A review of recent trends

Lecampion

Bunger

Zhang

2018

Journal of Natural Gas Science and Engineering

343

172

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“…With the advent of more computational power, scientific effort has shifted towards developing more accurate planar 3D models (PL3D) [13,14,15]. In such models, the fracture footprint is assumed to be planar and is discretized using a two-dimensional mesh.…”

Section: Introductionmentioning

confidence: 99%

An enhanced pseudo-3D model for hydraulic fracturing accounting for viscous height growth, non-local elasticity, and lateral toughness

Dontsov

Peirce

2015

Engineering Fracture Mechanics

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Please cite this article as: Dontsov, E.V., Peirce, A.P., An enhanced pseudo-3D model for hydraulic fracturing accounting for viscous height growth, non-local elasticity, and lateral toughness, Engineering Fracture Mechanics (2015), doi: http://dx. AbstractThe goal of this paper is to develop a more accurate pseudo-3D model for hydraulic fracturing. The primary weaknesses of the classical pseudo-3D model are: 1) its inability to capture viscous height growth, and 2) its failure to include lateral fracture toughness. These flaws are addressed respectively by: 1) introducing an apparent fracture toughness in the vertical direction, and 2) using an approximate non-local elasticity operator. To evaluate the accuracy and the level of improvement of the model we have developed, the results are compared to the predictions calculated using a recently developed fully planar hydraulic fracturing simulator.

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“…The simulated results are shown in Figures 15-18, where the fracture propagation pattern for K s = 1.0×10 3 (Figure 15(b)) is quite different from that for K s = 1.0×10 8 (Figure 16(b)). In Figure 16(b), the fracture follows a straight path, whereas in Figure 15 (Figure 16(b)) is consistent with the general tendency of propagation in the absence of a natural fault.…”

Section: Effect Of the Fault Shear Stiffnessmentioning

confidence: 91%

“…It is also used as a tool for measuring in situ stress. Modeling conventional hydraulic fracturing has been the subject of numerous analytical and numerical investigations, for example the elastic complex [1] and real variable [2,3] boundary element methods and the poroelastic and thermoelastic displacement discontinuity method [4][5][6][7] or the finite-element method (FEM) [8]. Boundary element methods, such as the displacement discontinuity technique provide efficient and accurate results when modeling fracture propagation in elastic media.…”

Section: Introductionmentioning

confidence: 99%

Simulation of hydraulic fracture propagation near a natural fracture using virtual multidimensional internal bonds

Zhang

Ghassemi

2011

Num Anal Meth Geomechanics

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SUMMARYA virtual multidimensional internal bond (VMIB) model developed to simulate the propagation of hydraulic fractures using the finite-element method is formulated within the framework of the virtual internal bond theory (VIB) that considers a solid as randomized material particles in the micro scale, and derives the macro constitutive relation from the cohesive law between the material particles with an implicit fracture criterion. Hydraulic pressure is applied using a new scheme that enables simulation of hydraulically driven cracks. When the model is applied to study hydraulic fracture propagation in the presence of a natural fracture, the results show the method to be very effective. It shows that although the in situ stress ratio is the dominant factor governing the propagation direction, a natural fault can also strongly influence the hydraulic fracture behavior. This influence is conditioned by the shear stiffness of the fault and the distance to the original hydraulic fracture. The model results show that when the fault is strong in shear, its impact on hydraulic fracture trajectory is weak and the hydraulic fracture will likely penetrate the fault. For a weak fault, however, the fracture tends to be arrested at the natural fault. The distance between the fault and the hydraulic fracture is also important; the fault influence increases with decreasing distance. The VMIB does not require selection of a fracture criterion and remeshing when the fracture propagates. Therefore, it is advantageous for modeling fracture initiation and propagation in naturally fractured rock.

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A three‐dimensional hydraulic fracturing simulator

Cited by 87 publications

References 20 publications

Numerical methods for hydraulic fracture propagation: A review of recent trends

Numerical methods for hydraulic fracture propagation: A review of recent trends

An enhanced pseudo-3D model for hydraulic fracturing accounting for viscous height growth, non-local elasticity, and lateral toughness

Simulation of hydraulic fracture propagation near a natural fracture using virtual multidimensional internal bonds

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