Numerical Method of Discontinuous Displacements in Spatial Problems of Fracture Mechanics

Zvyagin, A. V.; Luzhin, A. A.; Panfilov, D. I.; Shamina, A.A.

doi:10.3103/s0025654421010143

Cited by 7 publications

(4 citation statements)

References 13 publications

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“…Before the vertical fracture propagates to the cover layer/bottom layer, the continuity equation is [35…”

Section: Continuity Equationmentioning

confidence: 99%

“…Wu et al [9] and Cheng et al [8] established a 2D mathematical model of the T-shaped fracture of the coalbed and solved this model, but it is limited to the 2D plane-strain conditions, which is different from actual situation. In addition, the complex fracture models based on displacement discontinuity method (DDM) and embedded discrete fracture model (EDFM) can also address the fracture geometries [34][35][36]. However, these models are aimed at complex fracture networks, which are not suitable for the I-shaped fracture studied in this paper.…”

Section: Introductionmentioning

confidence: 99%

“…Schematic of vertical fracture propagation.2.1.1. Continuity EquationBefore the vertical fracture propagates to the cover layer/bottom layer, the continuity equation is[35]…”

mentioning

confidence: 99%

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3D Fracture Propagation Simulation and Pressure Decline Analysis Research for I-Shaped Fracture of Coalbed

Wang¹,

Guo

Zhang

et al. 2022

Energies

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After hydraulic fracturing, some treatments intended for production enhancement fail to yield predetermined effects. The main reason is the insufficient research about the fracture propagation mechanism. There is compelling evidence that I-shaped fracture, two horizontal fractures at the junction of coalbed and cover/bottom layer, and one vertical fracture in the coalbed have formed in part of the coalbed after hydraulic fracturing. Therefore, this paper aims at I-shaped fracture propagation simulation. A novel propagation model is derived on the basis of a three-dimensional (3D) model, and the coupling conditions of vertical fracture and horizontal fractures are established based on the flow rate distribution and the bottom-hole pressure equality, respectively. Moreover, an associated PDA (pressure decline analysis of post-fracturing) model is established. Both models complement with each other and work together to guide fracturing treatment. Finally, a field case is studied to show that the proposed models can effectively investigate and simulate fracture initiation/propagation and pressure decline.

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“…Before the vertical fracture propagates to the cover layer/bottom layer, the continuity equation is [35…”

Section: Continuity Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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3D Fracture Propagation Simulation and Pressure Decline Analysis Research for I-Shaped Fracture of Coalbed

Wang¹,

Guo

Zhang

et al. 2022

Energies

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“…Zvyagin et al, 2021 proposed a numerical method for solving spatial problems in fracture mechanics, which performed well in both quantitative and qualitative display [17]. Pestov et al, 2023 conducted a comparative study on cracks in one matrix and two matrices, and defined the influence coefficient as the research object [18]. Shamina et al, 2024 proposed a study on a single polygonal crack under a constant load perpendicular to the crack plane.…”

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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On a Method of Calculating of Continua with an Initial Crack

Adilov¹

2022

Springer Proceedings in Materials

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Numerical Method of Discontinuous Displacements in Spatial Problems of Fracture Mechanics

Cited by 7 publications

References 13 publications

3D Fracture Propagation Simulation and Pressure Decline Analysis Research for I-Shaped Fracture of Coalbed

3D Fracture Propagation Simulation and Pressure Decline Analysis Research for I-Shaped Fracture of Coalbed

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

On a Method of Calculating of Continua with an Initial Crack

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