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

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 Lagra...

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Published inMaterials Vol. 16; no. 4; p. 1572
Main Authors Mu, Dianrui, Tang, Aiping, Qu, Haigang, Wang, Junjie
Format Journal Article
LanguageEnglish
Published Switzerland MDPI AG 13.02.2023
MDPI
Subjects
Analysis
Coupling
Crack initiation
Crack propagation
Cracking (fracturing)
Efficiency
Engineering
Equations of motion
Finite element analysis
Fluid dynamics
Fluid mechanics
Hydraulic fracturing
Numerical analysis
Osmosis
Permeability
Pore water
Porous media
Prefabrication
Propagation
Rock masses
Seepage
Simulation
Simulation methods
Smooth particle hydrodynamics
Solids
Water pressure
China
osmotic pressure
hydro-mechanical coupling
seepage model
crack propagation
smoothed particle hydrodynamics (SPH)
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Abstract 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.
AbstractList 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.
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.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.
Audience Academic
Author Mu, Dianrui
Wang, Junjie
Tang, Aiping
Qu, Haigang
AuthorAffiliation 1 School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China
2 Department of Civil Engineering, University of Ottawa, Ottawa, ON K1N6N5, Canada
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  surname: Tang
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  givenname: Haigang
  orcidid: 0000-0002-4988-3524
  surname: Qu
  fullname: Qu, Haigang
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  givenname: Junjie
  surname: Wang
  fullname: Wang, Junjie
BackLink https://www.ncbi.nlm.nih.gov/pubmed/36837200$$D View this record in MEDLINE/PubMed
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Keywords osmotic pressure
hydro-mechanical coupling
seepage model
crack propagation
smoothed particle hydrodynamics (SPH)
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Snippet 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...
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SubjectTerms Analysis
Coupling
Crack initiation
Crack propagation
Cracking (fracturing)
Efficiency
Engineering
Equations of motion
Finite element analysis
Fluid dynamics
Fluid mechanics
Hydraulic fracturing
Numerical analysis
Osmosis
Permeability
Pore water
Porous media
Prefabrication
Propagation
Rock masses
Seepage
Simulation
Simulation methods
Smooth particle hydrodynamics
Solids
Water pressure
Title An Extended Hydro-Mechanical Coupling Model Based on Smoothed Particle Hydrodynamics for Simulating Crack Propagation in Rocks under Hydraulic and Compressive Loads
URI https://www.ncbi.nlm.nih.gov/pubmed/36837200
https://www.proquest.com/docview/2779533017
https://www.proquest.com/docview/2780082789
https://pubmed.ncbi.nlm.nih.gov/PMC9959263
Volume 16
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