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Title: Interface and embedded joint methods for modeling dynamic fracture opening by explosive products [Two methods for modeling dynamic fracture opening by explosive products]

Abstract

Two computational approaches are proposed in the paper to model dynamic fracture opening by explosive products. The first method assumes that the fractures may be modeled using flow elements embedded along the mesh lines. This method models crack opening in a straightforward way by splitting the nodes of the computational grid. It can account for crack branching; however, the crack directions are constrained by existing mesh faces, which may lead to mesh dependence. Also, the stress in flow elements is calculated explicitly separate from the surrounding solid elements that can impose additional limits on the time step stability condition for explicit integration. The second approach uses embedded flow elements to model the cracks. Typical thickness of the cracks is much smaller than the element size. Therefore, gas pressure in the cracks is assumed to be in stress equilibrium with the element stress. To achieve this, the crack thickness and the state of the gas is updated simultaneously with the state of the solid element which contains the crack. Therefore, the time step is controlled by the explicit solver applied for the solid and does not depend on the thickness of the crack. In conclusion, the main disadvantage of the secondmore » approach is due to the complexity of modeling multiple intersecting cracks, which go through the same element. We discuss the areas of possible applications of these 2 methods and the ways to improve and enhance them for future practical applications.« less

Authors:
ORCiD logo [1];  [1];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1513836
Report Number(s):
LLNL-JRNL-740316
Journal ID: ISSN 0363-9061; 892711
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
International Journal for Numerical and Analytical Methods in Geomechanics
Additional Journal Information:
Journal Volume: 42; Journal Issue: 13; Journal ID: ISSN 0363-9061
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; dynamic fracture; gas expansion into cracks; jointed rock

Citation Formats

Vorobiev, Oleg Y., Settgast, Randolph, and Morris, Joseph P. Interface and embedded joint methods for modeling dynamic fracture opening by explosive products [Two methods for modeling dynamic fracture opening by explosive products]. United States: N. p., 2018. Web. doi:10.1002/nag.2803.
Vorobiev, Oleg Y., Settgast, Randolph, & Morris, Joseph P. Interface and embedded joint methods for modeling dynamic fracture opening by explosive products [Two methods for modeling dynamic fracture opening by explosive products]. United States. doi:10.1002/nag.2803.
Vorobiev, Oleg Y., Settgast, Randolph, and Morris, Joseph P. Tue . "Interface and embedded joint methods for modeling dynamic fracture opening by explosive products [Two methods for modeling dynamic fracture opening by explosive products]". United States. doi:10.1002/nag.2803. https://www.osti.gov/servlets/purl/1513836.
@article{osti_1513836,
title = {Interface and embedded joint methods for modeling dynamic fracture opening by explosive products [Two methods for modeling dynamic fracture opening by explosive products]},
author = {Vorobiev, Oleg Y. and Settgast, Randolph and Morris, Joseph P.},
abstractNote = {Two computational approaches are proposed in the paper to model dynamic fracture opening by explosive products. The first method assumes that the fractures may be modeled using flow elements embedded along the mesh lines. This method models crack opening in a straightforward way by splitting the nodes of the computational grid. It can account for crack branching; however, the crack directions are constrained by existing mesh faces, which may lead to mesh dependence. Also, the stress in flow elements is calculated explicitly separate from the surrounding solid elements that can impose additional limits on the time step stability condition for explicit integration. The second approach uses embedded flow elements to model the cracks. Typical thickness of the cracks is much smaller than the element size. Therefore, gas pressure in the cracks is assumed to be in stress equilibrium with the element stress. To achieve this, the crack thickness and the state of the gas is updated simultaneously with the state of the solid element which contains the crack. Therefore, the time step is controlled by the explicit solver applied for the solid and does not depend on the thickness of the crack. In conclusion, the main disadvantage of the second approach is due to the complexity of modeling multiple intersecting cracks, which go through the same element. We discuss the areas of possible applications of these 2 methods and the ways to improve and enhance them for future practical applications.},
doi = {10.1002/nag.2803},
journal = {International Journal for Numerical and Analytical Methods in Geomechanics},
number = 13,
volume = 42,
place = {United States},
year = {2018},
month = {6}
}

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Cited by: 1 work
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Figures / Tables:

FIGURE 1 FIGURE 1: Two methods to represent cracks:method Ⅰ , where the crack should be alined with the mesh and method Ⅱ, where the crack is allowed to cross the mesh. Flow elements are shown in the middle in 3D.

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Works referenced in this record:

Fracture Gradient Prediction and Its Application in Oilfield Operations
journal, October 1969

  • Eaton, Ben A.
  • Journal of Petroleum Technology, Vol. 21, Issue 10
  • DOI: 10.2118/2163-PA

A 3D peridynamic simulation of hydraulic fracture process in a heterogeneous medium
journal, September 2016


Generic strength model for dry jointed rock masses
journal, December 2008


An Implicit-Explicit Eulerian Godunov Scheme for Compressible Flow
journal, February 1995

  • Collins, J. P.; Colella, P.; Glaz, H. M.
  • Journal of Computational Physics, Vol. 116, Issue 2
  • DOI: 10.1006/jcph.1995.1021

Crack extension caused by internal gas pressure compared with extension caused by tensile stress
journal, March 1983

  • McHugh, Stuart
  • International Journal of Fracture, Vol. 21, Issue 3
  • DOI: 10.1007/BF00963386

Simple Common Plane contact algorithm: SIMPLE COMMON PLANE CONTACT
journal, December 2011

  • Vorobiev, Oleg
  • International Journal for Numerical Methods in Engineering, Vol. 90, Issue 2
  • DOI: 10.1002/nme.3324

Continuum modelling of explosive fracture in oil shale
journal, June 1980

  • Grady, D. E.; Kipp, M. E.
  • International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 17, Issue 3
  • DOI: 10.1016/0148-9062(80)91361-3

Approximate Riemann solvers, parameter vectors, and difference schemes
journal, October 1981


On the relationship between mechanical and hydraulic apertures in rough-walled fractures
journal, December 1995

  • Renshaw, Carl E.
  • Journal of Geophysical Research: Solid Earth, Vol. 100, Issue B12
  • DOI: 10.1029/95JB02159

An improved model of fracture propagation by gas during rock blasting—some analytical results
journal, December 1994

  • Paine, A. S.; Please, C. P.
  • International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 31, Issue 6
  • DOI: 10.1016/0148-9062(94)90009-4

An augmented-Lagrangian method for the phase-field approach for pressurized fractures
journal, April 2014

  • Wheeler, M. F.; Wick, T.; Wollner, W.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 271
  • DOI: 10.1016/j.cma.2013.12.005

Fundamentals of rock joint deformation
journal, December 1983

  • Bandis, S. C.; Lumsden, A. C.; Barton, N. R.
  • International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 20, Issue 6
  • DOI: 10.1016/0148-9062(83)90595-8

Containment of Massive Hydraulic Fractures
journal, February 1978

  • Simonson, E. R.; Abou-Sayed, A. S.; Clifton, R. J.
  • Society of Petroleum Engineers Journal, Vol. 18, Issue 01
  • DOI: 10.2118/6089-PA

Dynamic modeling of explosively driven hydrofractures
journal, January 1991

  • Nilson, R.; Rimer, N.; Halda, E.
  • Journal of Geophysical Research, Vol. 96, Issue B11
  • DOI: 10.1029/91JB01729

A fully coupled method for massively parallel simulation of hydraulically driven fractures in 3-dimensions: FULLY COUPLED PARALLEL SIMULATION OF HYDRAULIC FRACTURES IN 3-D
journal, September 2016

  • Settgast, Randolph R.; Fu, Pengcheng; Walsh, Stuart D. C.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 41, Issue 5
  • DOI: 10.1002/nag.2557

Simulation of penetration into porous geologic media
journal, April 2007


Influence of containment of the bore hole pressures on explosive induced fracture
journal, January 1975

  • Dally, J. W.; Fourney, W. L.; Holloway, D. C.
  • International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 12, Issue 1
  • DOI: 10.1016/0148-9062(75)90737-8

A two-dimensional coupled hydromechanical discontinuum model for simulating rock hydraulic fracturing: AN EXTENSION OF DDA TO SIMULATE ROCK HYDRAULIC CRACKING
journal, August 2014

  • Jiao, Yu-Yong; Zhang, Huan-Qiang; Zhang, Xiu-Li
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 39, Issue 5
  • DOI: 10.1002/nag.2314

Fragmentation of rock under dynamic loads
journal, August 1974

  • Shockey, Donald A.; Curran, Donald R.; Seaman, Lynn
  • International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 11, Issue 8
  • DOI: 10.1016/0148-9062(74)91760-4

Efficient solution algorithms for the Riemann problem for real gases
journal, June 1985


A continuum model for concrete informed by mesoscale studies
journal, September 2017

  • Vorobiev, Oleg; Herbold, Eric; Ezzedine, Souheil
  • International Journal of Damage Mechanics
  • DOI: 10.1177/1056789517730884

A fully coupled porous flow and geomechanics model for fluid driven cracks: a peridynamics approach
journal, February 2015


A three-phase XFEM model for hydraulic fracturing with cohesive crack propagation
journal, September 2015


An explicitly coupled hydro-geomechanical model for simulating hydraulic fracturing in arbitrary discrete fracture networks: FULLY COUPLED MODEL FOR HYDRO-FRACTURING IN ARBITRARY FRACTURE NETWORKS
journal, August 2012

  • Fu, Pengcheng; Johnson, Scott M.; Carrigan, Charles R.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 37, Issue 14
  • DOI: 10.1002/nag.2135

Coupling schemes for modeling hydraulic fracture propagation using the XFEM
journal, January 2013

  • Gordeliy, Elizaveta; Peirce, Anthony
  • Computer Methods in Applied Mechanics and Engineering, Vol. 253
  • DOI: 10.1016/j.cma.2012.08.017

Reminiscences about Difference Schemes
journal, July 1999

  • Godunov, Sergei Konstantinovich
  • Journal of Computational Physics, Vol. 153, Issue 1
  • DOI: 10.1006/jcph.1999.6271

Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
journal, August 1997


A new numerical 3D-model for simulation of hydraulic fracturing in consideration of hydro-mechanical coupling effects
journal, June 2013


Simulation of Hydraulic Fracture Networks in Three Dimensions Utilizing Massively Parallel Computing Resources
conference, January 2014

  • Settgast, Randolph R.; Johnson, Scott; Fu, Pengcheng
  • Proceedings of the 2nd Unconventional Resources Technology Conference
  • DOI: 10.15530/urtec-2014-1923299

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    Simulation of discrete cracks driven by nearly incompressible fluid via 2D combined finite‐discrete element method
    journal, March 2019

    • Lei, Zhou; Rougier, Esteban; Munjiza, Antonio
    • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 43, Issue 9
    • DOI: 10.1002/nag.2929

    An Empirical UCS Model for Anisotropic Blocky Rock Masses
    journal, March 2019