Field Scale Modelling of Explosion-Generated Crack Densities in Granitic Rocks Using Dual-Support Smoothed Particle Hydrodynamics (DS-SPH)

Gharehdash, Saba; Sainsbury, Bre-Anne; Barzegar, Milad; Palymskiy, I. B.; Fomin, P. A.

doi:10.1007/s00603-021-02519-7

Cited by 17 publications

(5 citation statements)

References 46 publications

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Section: Methodsmentioning

confidence: 99%

“…The particle obeys the conservation theorem of mass, momentum, and energy, and is solved in combination with the constitutive equation of material, so as to obtain the motion law of matter. It has been widely used to solve extreme deformation and failure types such as explosion simulation, 36,37 high-speed collision, 38,39 penetration calculation, 23,39,40 and brittle fracture. 24,41 Unlike the finite element method, a kernel approximation is used in SPH based on randomly distributed interpolation points, and the points are neighbors to calculate spatial derivatives.…”

Section: Theory Of Sphmentioning

confidence: 99%

“…The research results showed that the developed SPH program can well describe the failure evolution process of cracks and large-deformation debris. Gharehdash et al 23 developed a dual-support smoothed particle hydrodynamics (DS-SPH) method developed to quantify explosion-generated crack densities within granitic rock masses in field-scale computational domains. Mu et al 24 , 25 captured the brittle fracture characteristics of materials by improving the kernel function of the SPH method for simulating crack extension in brittle fracture of rock materials.…”

Section: Introductionmentioning

confidence: 99%

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Damage evolution law and failure mechanism of rock impacted by high-pressure water jet under in-situ stress condition

2023

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To investigate the real physical mechanism of rock fragmentation subjected to water jet under in-situ stress condition, a numerical model based on the SPH algorithm was established using the rate-dependent constitutive model to simulate the rock-breaking process. First, the damage evolution law of rock impacted by high-pressure water jet under in-situ stress conditions was studied by analyzing the distribution characteristics of the damage field in the dynamic process of water jet impinging. The results showed that the damage field, widths of surface damage, maximum widths of damage and mean depths of damage of rock decreased with the increase of in-situ stress, indicating that the existence of initial in-situ stress had a strong inhibitory effect on rock fragmentation. The attenuation of the maximum widths of damage could be divided into two stages. The mean depths of damage of rock played a leading role in the number of damage elements. Furthermore, on this basis, the real physical mechanism of rock fragmentation subjected to water jet under in-situ stress condition was revealed by analyzing the stress states and damage history variables of the particles in the selected five typical regions. The study showed that the failure type of the upper rock elements in the crushing zone was brittle failure caused by a combination of compressive stress and shear stress with or without in-situ stress. However, the failure mechanisms of rock elements in crack zone were completely different with or without in-situ stress. In the absence of in-situ stress, the failure type of rock impacted by water jet was the coexistence of damage caused by compressive-shear stress and tensile stress, while in the presence of in-situ stress, the failure type of rock impacted by water jet was mainly the damage caused by compressive-shear stress.

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Section: Methodsmentioning

confidence: 99%

Section: Theory Of Sphmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Damage evolution law and failure mechanism of rock impacted by high-pressure water jet under in-situ stress condition

2023

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“…In order to solve astrophysics problems, the SPH method was first proposed by Ginold and Monaghan [ 21 ] and Lucy [ 22 ]. With the rapid development of SPH, it is widely used in more practical engineering problems, such as fluid mechanics [ 23 , 24 ], heat conduction [ 25 , 26 , 27 ], and blasting-induced rock cracking [ 28 , 29 , 30 ]. In addition, SPH has been widely used in numerical studies related to hydro-mechanical coupling.…”

Section: Introductionmentioning

confidence: 99%

An Extended Hydro-Mechanical Coupling Model Based on Smoothed Particle Hydrodynamics for Simulating Crack Propagation in Rocks under Hydraulic and Compressive Loads

Tang

et al. 2023

Materials

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A seepage model based on smoothed particle hydrodynamics (SPH) was developed for the seepage simulation of pore water in porous rock mass media. Then, the effectiveness of the seepage model was proved by a two-dimensional seepage benchmark example. Under the framework of SPH based on the total Lagrangian formula, an extended hydro-mechanical coupling model (EHM-TLF-SPH) was proposed to simulate the crack propagation and coalescence process of rock samples with prefabricated flaws under hydraulic and compressive loads. In the SPH program, the Lagrangian kernel was used to approximate the equations of motion of particles. Then, the influence of flaw water pressure on crack propagation and coalescence models of rock samples with single or two parallel prefabricated flaws was studied by two numerical examples. The simulation results agreed well with the test results, verifying the validity and accuracy of the EHM-TLF-SPH model. The results showed that with the increase in flaw water pressure, the crack initiation angle and stress of the wing crack decreased gradually. The crack initiation location of the wing crack moved to the prefabricated flaw tip, while the crack initiation location of the shear crack was far away from the prefabricated flaw tip. In addition, the influence of the permeability coefficient and flaw water pressure on the osmotic pressure was also investigated, which revealed the fracturing mechanism of hydraulic cracking engineering.

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“…Smoothed particle hydrodynamics (SPH) is a grid-free numerical calculation method proposed by Lucy (1977) and Ginold and Monaghan (1977), and is mainly used in the field of astrophysics. With the development of meshless numerical methods, SPH has been widely used in the fields of fluid flow (Ren et al 2022a, b), mechanical and hydraulic behavior (Gharehdash 2018;Gharehdash et al 2019), two-phase coupling (Sun 2016;Yu et al 2021;Mu 2022a;Yu et al 2022) and crack propagation (Chakraborty and Shaw 2013;Sun et al 2014;Islam and Peng 2019;Gharehdash et al 2020;Gharehdash et al 2021;Mu et al 2022b, c;Mu et al 2023;Yu et al 2023a, b). In recent years, researchers have gradually applied the SPH method to the field of gas seepage, obtaineding satisfactory numerical results.…”

Section: Introductionmentioning

confidence: 99%

A gas-mechanical-damage coupling model based on TLF-SPH method to simulate gas seepage in fractured coal

Mu,

Zhang,

Liu

et al. 2023

Preprint

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The coupled calculation of gas seepage in fractured coal is always the focus and difficulty of computational mechanics. Therefore, combined with the phase field theory, the gas seepage model of fractured coal is developed under the framework of smoothed particle hydrodynamics (SPH). The accuracy of the seepage model based on partial differential equation (PDE) with constant coefficient is verified by a reference example, and the simulation results agree well with the analytical solutions. Meanwhile, the seepage characteristics of gas in homogeneous coal based on PDE with constant and variable coefficients are analyzed, respectively, with their numerical errors compared. Then, based on the gas seepage model of fractured coal, the effects of heterogeneity, defect opening and inclination on gas seepage in coal are studied, respectively. In addition, considering the influence of coal deformation and pre-existing defects on gas seepage, a gas-mechanical-damage coupling model for gas seepage simulation of fractured coal is proposed by using SPH method with total Lagrange formula (TLF-SPH). Subsequently, the permeability evolution and gas seepage characteristics of borehole surrounding rock under different conditions (such as overburden load, extraction pressure, borehole radius and initial gas pressure) are investigated, revealing the seepage-mechanical coupling mechanism of fractured coal during gas extraction. This work provides important theoretical support for mine gas extraction and gas outburstdisaster prevention technology.

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Field Scale Modelling of Explosion-Generated Crack Densities in Granitic Rocks Using Dual-Support Smoothed Particle Hydrodynamics (DS-SPH)

Cited by 17 publications

References 46 publications

Damage evolution law and failure mechanism of rock impacted by high-pressure water jet under in-situ stress condition

Damage evolution law and failure mechanism of rock impacted by high-pressure water jet under in-situ stress condition

An Extended Hydro-Mechanical Coupling Model Based on Smoothed Particle Hydrodynamics for Simulating Crack Propagation in Rocks under Hydraulic and Compressive Loads

A gas-mechanical-damage coupling model based on TLF-SPH method to simulate gas seepage in fractured coal

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