2023
DOI: 10.1002/nme.7227
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Spatial and temporal constraints of the cohesive modeling: A unified criterion for fluid‐driven fracture

Abstract: We present a unified criterion for cohesive modeling of fluid-driven fracture based on the dimensional analysis to simultaneously provide the constraint for cohesive element and time step sizes. Complicated by the nonlinear interaction between solid deformation and fluid flow, the underlying correlation between discretization and physical parameters of fluid-driven fracture is still unclear. This work studies this correlation through the dimensionless process of the governing equations that associate the cohes… Show more

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Cited by 8 publications
(5 citation statements)
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“…During the fracture propagation, the stresses at the fracture tip are singular from the view of LEFM, which stems from the linear elastic continuum representation of materials and the assumption of a well-formed fracture. 42 LEFM is inadequate for eliminating the stress singularity and accurately characterizing the propagation behavior at the fracture tip. The cohesive zone model (CZM), which is proposed by Dugdale and Barenblatt, 43,44 offers a more appropriate description.…”
Section: Model and Methodologymentioning
confidence: 99%
See 2 more Smart Citations
“…During the fracture propagation, the stresses at the fracture tip are singular from the view of LEFM, which stems from the linear elastic continuum representation of materials and the assumption of a well-formed fracture. 42 LEFM is inadequate for eliminating the stress singularity and accurately characterizing the propagation behavior at the fracture tip. The cohesive zone model (CZM), which is proposed by Dugdale and Barenblatt, 43,44 offers a more appropriate description.…”
Section: Model and Methodologymentioning
confidence: 99%
“…In general, the fracture growth at the fracture tip is defined in terms of linear elastic fracture mechanics (LEFM). During the fracture propagation, the stresses at the fracture tip are singular from the view of LEFM, which stems from the linear elastic continuum representation of materials and the assumption of a well-formed fracture . LEFM is inadequate for eliminating the stress singularity and accurately characterizing the propagation behavior at the fracture tip.…”
Section: Model and Methodologymentioning
confidence: 99%
See 1 more Smart Citation
“…To tackle the challenge of hydraulic fracturing, methods have been used to describe the fracture propagation range, including finite element method (FEM), , extended finite element method (XFEM), , displacement discontinuity method (DDM), unconventional fracture model, and peridynamics, to mention but a few. To combat the drawbacks of the linear elastic fracture mechanics, Wang et al introduced a fully coupled model for hydraulic fracture propagation by combining XFEM and the cohesive zone method (CZM) to accurately predict the geometry of the fracture alongside the stress due to propagation in brittle and ductile rocks. Whereas this model proved successful in describing the evolution of the fracture, details of the interaction between the fracture and the matrix were not elaborated.…”
Section: Introductionmentioning
confidence: 99%
“…21,22 In addition to these mentioned, there are phase field model and cohesive element method, which have been proven effective tools for modeling fracture initiation, propagation, coalescence, and branching in solids. [23][24][25] The FDEM can not only reflect the advantages of high computational efficiency of the finite element method but also study the heterogeneous characteristics of rocks like the DEM. According to the fracture criteria, the joint element is fractured to simulate the initiation and propagation process of the fracture.…”
mentioning
confidence: 99%