Computational modeling of cracks different forms in three-dimensional space

Shamina, A.A.; Zvyagin, A. V.; Смирнов, Н.Н.; Luzhin, A. A.; Panfilov, D. I.; Udalov, A. S.

doi:10.1016/j.actaastro.2021.05.041

Cited by 7 publications

(3 citation statements)

References 13 publications

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“…The boundary conditions at the fracture front C(r, θ, t) are deduced from the propagation criterion, the zero flux condition, and the zero fracture opening. According to the linear elastic fracture mechanics, when stress intensity factor K I at a point of the fracture front is equal to or greater than the corresponding rock fracture toughness K Ic , the fracture will propagate radially at this point, so the propagation condition is as follows [49][50][51].…”

Section: Boundary and Initial Conditionsmentioning

confidence: 99%

“…The propagation of a penny-shaped fluid-driven fracture in impermeable rock, as well as accounting for the fluid leak-off, was also studied [45][46][47][48]. The study of stress intensity factors for branching cracks in three-dimensional space was performed [49][50][51]. In addition, the formation and cleaning of hydraulically driven fractures in 3-D space was discussed in some studies [52,53].…”

Section: Introductionmentioning

confidence: 99%

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A Planar-3D Mathematical Model for Studying the Effect of Heterogeneity of Rock Fracture Toughness on Hydraulic Fracture Propagation: Early-Time Solution including the Stage before Propagation

Смирнов

et al. 2023

Mathematics

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Among the studies of the effect of rock’s heterogeneity on hydraulic fracture propagation, very little information on the effects of the heterogeneity of rock’s fracture toughness is available. The objective of the present paper is to develop a planar-3D model for studying the effect of the heterogeneity of rock’s fracture toughness on hydraulic fracture propagation. Not only the stage of fracture propagation, but also the stage before the fracture propagation is considered in this model. Based on the proposed model, the evolution of hydraulic fracture propagation under a typical heterogeneous distribution of rock’s fracture toughness and the solution at the stage before fracture propagation are analyzed in detail. Furthermore, a series of numerical comparison experiments including five different distributions of rock’s fracture toughness are made in order to study the effect of the heterogeneity of rock’s toughness. The results indicate that the minimum fracture radius and the contrast of rock’s fracture toughness between adjacent layers are important parameters for determining the size and location of the maximum fracture opening. Most importantly, the fracture contour is greatly affected by the heterogeneity of rock’s fracture toughness.

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Section: Boundary and Initial Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Planar-3D Mathematical Model for Studying the Effect of Heterogeneity of Rock Fracture Toughness on Hydraulic Fracture Propagation: Early-Time Solution including the Stage before Propagation

Смирнов

et al. 2023

Mathematics

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“…obtained numerical asymptotic solutions for the initial condition problem (early solution) of plane strain hydraulic fractures with fluid hysteresis. And complete the planar three-dimensional simulation of fluid flow [20,21].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Hydraulic Fracture Propagation on Multilayered Formation Using Limited Entry Fracturing Technique

Liu,

Ji,

Huang

et al. 2024

Processes

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Hydraulic fracturing is one of the most effective stimulation methods for unconsolidated sandstone reservoirs. However, the design of hydraulic fracturing must take into account the mechanical and stress properties of different geological formations between layers. In this paper, a three-dimensional coupled fluid-solid model using the finite element method is developed to investigate multiple vertical fractures at different depths along a vertical wellbore under different geological and geomechanical conditions. The finite element model does not require further refinement of any new cracks, requiring much smaller degrees of freedom and higher computational efficiency. In addition, new elements were used to account for local pressure drop due to perforation entry friction along the vertical wellbore. Numerical simulation results indicate that hydraulic fracture connections are observed from adjacent layers. Furthermore, the low stress contrast and high Young’s modulus between the layers increases the likelihood of multiple fracture connections. Higher fluid leakage rates increase the likelihood of fracture branching, but decrease the area of fracture coverage near the wellbore. Increasing fluid viscosity is effective in improving the area of fracture coverage near the wellbore. These findings are useful for the design of hydraulic fracturing in multi-layered formations in unconsolidated sandstone formations.

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Dynamic evaluation of aluminum alloys using a virtual framework

Toor

Baluch

2021

Acta Astronautica

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Computational modeling of cracks different forms in three-dimensional space

Cited by 7 publications

References 13 publications

A Planar-3D Mathematical Model for Studying the Effect of Heterogeneity of Rock Fracture Toughness on Hydraulic Fracture Propagation: Early-Time Solution including the Stage before Propagation

A Planar-3D Mathematical Model for Studying the Effect of Heterogeneity of Rock Fracture Toughness on Hydraulic Fracture Propagation: Early-Time Solution including the Stage before Propagation

Numerical Simulation of Hydraulic Fracture Propagation on Multilayered Formation Using Limited Entry Fracturing Technique

Dynamic evaluation of aluminum alloys using a virtual framework

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