Phase-field simulation of hydraulic fracturing with a revised fluid model and hybrid solver

Chen, Bin; Sun, Yanyu; Dias, Rafael; Barron, Andrew R.; Li, Chenfeng

doi:10.1016/j.engfracmech.2020.106928

Cited by 34 publications

(21 citation statements)

References 40 publications

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“…The Poiseuille's law and the continuity equation listed above are widely used in 2D discrete fracture analysis and can be easily extended to the 3D discrete fracture analysis by considering the flow rate and pressure gradient in different directions [239,282]. In smeared fracture models, the Poiseuille's law is often implemented with a fracture permeability [52,180,329] where the fracture width w is a virtual value computed according to the element deformation in smeared fracture models.…”

Section: Fluid Flow In the Fracturementioning

confidence: 99%

“…When simulating fracture propagation with smeared fracture models, the strain threshold and Mohr-Coulomb failure criterion are normally adopted to determine whether or not an element will damage [188]. In phase field model (PFM), the fracture surface energy is combined with the strain energy of rock and solved together, and as a result there is no extra fracture criterion [52,180,210]. For discontinuumbased methods, the fracture is represented by the breakage of bonds between particles or blocks, and therefore the corresponding fracture criterion is implicitly determined by the rule of bonds breakage.…”

Section: Fracture Propagationmentioning

confidence: 99%

“…Chen et al [54] used scanning electron microscope to extract the existing joints from a coal sample and investigated the influences of joints on the propagation of hydraulic fracture. Using PFM, Chen et al [52] simulated 2D propagation of hydraulic fracture in a natural fracture network mapped from realistic outcrop at field. However, the construction of field-scale subsurface natural fracture network faces complex uncertainties since the relevant information provided by wellbore logs are limited.…”

Section: Interaction Of Hydraulic and Natural Fracturesmentioning

confidence: 99%

“…In a more general case, Shin and Sharma [294] simulated the Fig. 12 A finite element model for hydraulic fracturing [52] propagation of three parallel hydraulic fractures in threelayer formations using ABAQUS. Cohesive zone elements are embedded into the model to simulate the fracture propagation.…”

Section: Discrete Crack Approachesmentioning

confidence: 99%

See 3 more Smart Citations

A Review of Hydraulic Fracturing Simulation

Chen

Dias

Sun

et al. 2021

Arch Computat Methods Eng

Self Cite

121

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Along with horizontal drilling techniques, multi-stage hydraulic fracturing has improved shale gas production significantly in past decades. In order to understand the mechanism of hydraulic fracturing and improve treatment designs, it is critical to conduct modelling to predict stimulated fractures. In this paper, related physical processes in hydraulic fracturing are firstly discussed and their effects on hydraulic fracturing processes are analysed. Then historical and state of the art numerical models for hydraulic fracturing are reviewed, to highlight the pros and cons of different numerical methods. Next, commercially available software for hydraulic fracturing design are discussed and key features are summarised. Finally, we draw conclusions from the previous discussions in relation to physics, method and applications and provide recommendations for further research.

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Section: Fluid Flow In the Fracturementioning

confidence: 99%

Section: Fracture Propagationmentioning

confidence: 99%

Section: Interaction Of Hydraulic and Natural Fracturesmentioning

confidence: 99%

Section: Discrete Crack Approachesmentioning

confidence: 99%

See 2 more Smart Citations

A Review of Hydraulic Fracturing Simulation

Chen

Dias

Sun

et al. 2021

Arch Computat Methods Eng

Self Cite

121

View full text Add to dashboard Cite

show abstract

“…The phase-field models have been applied in many areas, such as fractures in thin shells and [37,38], fracture in heterogeneous structure [39] and hydraulic fracturing [40]. However, most of the models are mainly applied to brittle fracture and only a few models for quasi-brittle [41] or cohesive fracture [42][43][44][45][46][47] have been proposed.…”

Section: Introductionmentioning

confidence: 99%

The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture

Wang

Zhou

Feng

2020

Applied Mathematical Modelling

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Phase-field models have become popular to simulate cohesive failure problems because of their capability of predicting crack initiation and propagation without additional criteria. In this paper, new phase-field damage model coupled with general softening law for cohesive fracture is proposed based on the unified phase-field theory. The commonly used quadratic geometric function in the classical phase-field model is implemented in the proposed model. The modified degradation function related to the failure strength and length scale is used to obtain the length scale insensitive model. Based on the analytical solution of a 1-D case, general softening laws in cohesive zone models can be considered. Parameters in the degradation function can be calibrated according to different softening curves and material properties. Numerical examples show that the results obtained by the proposed model have a good agreement with experimental results and the length scale has a negligible influence on the load-displacement curves in most cases, which cannot be observed in classical phase-field model.

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A comprehensive review of numerical simulation methods for hydraulic fracturing

Ismail,

Azadbakht

2024

Num Anal Meth Geomechanics

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Hydraulic fracturing unlocks previously inaccessible hydrocarbons in unconventional reservoirs by creating artificial pathways in the unconventional reservoir. Numerical simulation expands the scope of hydraulic fracturing design for various reservoir conditions. This review paper explores the synergy between numerical simulation and hydraulic fracturing modeling, focusing on critical elements like geomechanical behavior, geological conditions, and fluid dynamics. Analytical models in hydraulic fracturing design are discussed to underscore their foundational importance. The assumption of constant fracture height limits the application of Perkins–Kern–Nordgren model (PKN) and Kristianovich‐Geertsma‐de Klerk model (KGD). Radial models assume 3D flow but lack reliability in nonradial settings, and the Pseudo 3D model (P3D) shares PKN's assumptions with variable fracture height, sacrificing some details for efficiency. Planar 3D model (PL3D) enhances accuracy by discarding PKN's elastic response assumption but requires extended computation. Unconventional fracture model is effective for complex scenarios but relies on DFN modeling parameters for accuracy. The choice of numerical simulation method in hydraulic fracturing depends on the specific aspect studied, each with its strengths and limitations. For instance, boundary element methods are efficient for exterior problems, finite element modeling suits 3D nonplanar fractures, and the extended finite element method excels in hydraulic and natural fracture interactions. Peridynamics shows potential but needs further development for cost‐effectiveness. PFC and UDEC/3DEC‐based simulations can explore microscopic mechanisms. Combining these methods with other approaches provides a comprehensive study of realistic reservoir conditions. This review guides the selection of a suitable numerical simulation methodology based on the study's scope.

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Phase-field simulation of hydraulic fracturing with a revised fluid model and hybrid solver

Cited by 34 publications

References 40 publications

A Review of Hydraulic Fracturing Simulation

A Review of Hydraulic Fracturing Simulation

The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture

A comprehensive review of numerical simulation methods for hydraulic fracturing

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