DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: On the strength of transversely isotropic rocks: On the strength of transversely isotropic rocks

Journal Article · · International Journal for Numerical and Analytical Methods in Geomechanics
DOI: https://doi.org/10.1002/nag.2809 · OSTI ID:1596338

Accurate prediction of strength in rocks with distinct bedding planes requires knowledge of the bedding plane orientation relative to the load direction. Thermal softening adds complexity to the problem since it is known to have significant influence on the strength and strain localization properties of rocks. In this paper, we utilize a recently proposed thermoplastic constitutive model appropriate for rocks exhibiting transverse isotropy in both the elastic and plastic responses to predict their strength and strain localization properties. Recognizing that laboratory-derived strengths can be influenced by material and geometric inhomogeneities of the rock samples, we consider both stress-point and boundary-value problem simulations of rock strength behavior. Both plane strain and 3D loading conditions are considered. Results of the simulations of the strength of a natural Tournemire shale and a synthetic transversely isotropic rock suggest that the mechanical model can reproduce the general U-shaped variation of rock strength with bedding plane orientation quite well. We show that this variation could depend on many factors, including the stress loading condition (plane strain versus 3D), degree of anisotropy, temperature, shear-induced dilation versus shear-induced compaction, specimen imperfections, and boundary restraints, among others.

Research Organization:
Stanford Univ., CA (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Chemical Sciences, Geosciences & Biosciences Division
Grant/Contract Number:
FG02-03ER15454
OSTI ID:
1596338
Journal Information:
International Journal for Numerical and Analytical Methods in Geomechanics, Journal Name: International Journal for Numerical and Analytical Methods in Geomechanics Journal Issue: 16 Vol. 42; ISSN 0363-9061
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English

References (58)

Assessment of some failure criteria for strongly anisotropic geomaterials journal January 1998
Strength anisotropy of shales deformed under uppermost crustal conditions: STRENGTH ANISOTROPY OF SHALES journal January 2017
On the pore-scale mechanisms leading to brittle and ductile deformation behavior of crystalline rocks: PORE-SCALE MECHANISMS IN CRYSTALLINE ROCKS
  • Tjioe, Martin; Borja, Ronaldo I.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 39, Issue 11 https://doi.org/10.1002/nag.2357
journal February 2015
Multiscale insights into classical geomechanics problems: MULTISCALE INSIGHTS INTO CLASSICAL GEOMECHANICS PROBLEMS journal July 2015
Response of multilayered transversely isotropic medium due to axisymmetric loads: Response of Transversely Isotropic Medium due to Axisymmetric Loads
  • Zhang, Pengchong; Lin, Gao; Liu, Jun
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 40, Issue 6 https://doi.org/10.1002/nag.2429
journal September 2015
Thermoplasticity and strain localization in transversely isotropic materials based on anisotropic critical state plasticity: THERMOPLASTICITY AND STRAIN LOCALIZATION
  • Semnani, Shabnam J.; White, Joshua A.; Borja, Ronaldo I.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 40, Issue 18 https://doi.org/10.1002/nag.2536
journal May 2016
A multiscale framework for the simulation of the anisotropic mechanical behavior of shale: A MULTISCALE DISCRETE APPROACH TO ANISOTROPIC MECHANICAL BEHAVIOR OF SHALE
  • Li, Weixin; Rezakhani, Roozbeh; Jin, Congrui
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 41, Issue 14 https://doi.org/10.1002/nag.2684
journal February 2017
Numerical analysis of the effect of natural microcracks on the supercritical CO 2 fracturing crack network of shale rock based on bonded particle models
  • Peng, Peihuo; Ju, Yang; Wang, Yongliang
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 41, Issue 18 https://doi.org/10.1002/nag.2712
journal June 2017
Responses of chemically active and naturally fractured shale under time-dependent mechanical loading and ionic solution exposure
  • Liu, Chao; Hoang, Son K.; Abousleiman, Younane N.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 42, Issue 1 https://doi.org/10.1002/nag.2713
journal July 2017
Parametric study of the smooth-joint contact model on the mechanical behavior of jointed rock
  • Hu, Wanrui; Kwok, C. Y.; Duan, Kang
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 42, Issue 2 https://doi.org/10.1002/nag.2751
journal October 2017
A contact algorithm for frictional crack propagation with the extended finite element method journal December 2008
Pore-scale modeling of deformation and shear band bifurcation in porous crystalline rocks: Pore-scale modeling of deformation and shear band bifurcation in porous crystalline rocks journal February 2016
On yielding of oriented solids journal March 1977
Instrumented nanoindentation and 3D mechanistic modeling of a shale at multiple scales journal January 2015
Water effects on rock strength and stiffness degradation journal September 2015
Nanochemo-mechanical signature of organic-rich shales: a coupled indentation–EDX analysis journal January 2016
The granular and polymer composite nature of kerogen-rich shale journal February 2016
Nanomechanics of organic-rich shales: the role of thermal maturity and organic matter content on texture journal June 2016
Multiscale modeling and analysis of compaction bands in high-porosity sandstones journal May 2017
Rate-independent fracture toughness of gray and black kerogen-rich shales journal May 2017
Quantifying the heterogeneity of shale through statistical combination of imaging across scales journal August 2017
Engineering behaviour of phyllites journal February 1993
Conditions for the localization of deformation in pressure-sensitive dilatant materials journal December 1975
Intrinsic shear strength of a brittle, anisotropic rock—I journal November 1974
The failure of transversely isotropic rocks in triaxial compression journal December 1980
Plane strain finite element analysis of pressure sensitive plasticity with strong discontinuity journal May 2001
A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation journal December 2000
Bifurcation of elastoplastic solids to shear band mode at finite strain journal November 2002
A modified single plane of weakness theory for the failure of highly stratified rocks journal September 1998
A failure criterion for transversely isotropic rocks journal April 2001
Anisotropic strength and deformational behavior of Himalayan schists journal January 2003
Laboratory investigation of the mechanical behaviour of Tournemire shale journal January 1997
Computational modeling of deformation bands in granular media. II. Numerical simulations journal July 2004
Computational modeling of deformation bands in granular media. I. Geological and mathematical framework journal July 2004
Discrete micromechanics of elastoplastic crystals in the finite deformation range journal June 2014
Thermo-plasticity of clays journal December 2003
Shear fracture in sandstone under plane-strain compression journal April 2006
Finite strain elastoplasticity considering the Eshelby stress for materials undergoing plastic volume change journal February 2016
An experimental investigation of the failure mechanism of simulated transversely isotropic rocks journal December 2006
A modified Hoek–Brown failure criterion for anisotropic intact rock journal February 2008
Experimental investigation of the effect of temperature on the mechanical behavior of Tournemire shale journal September 2014
Strength and post-peak response of Colorado shale at high pressure and temperature journal April 2016
Hyper-elastoplastic/damage modeling of rock with application to porous limestone journal June 2018
Bifurcation of elastoplastic solids to shear band mode at finite strain journal December 2001
Shear Failure of Anistropic Rocks journal February 1960
Long-wave elastic anisotropy produced by horizontal layering journal October 1962
A fracture criterion for brittle anisotropic rock journal August 1964
Thermoplasticity of Saturated Soils and Shales: Constitutive Equations journal December 1990
Thermoplasticity of Saturated Clays: Experimental Constitutive Study journal December 1990
A theory of the yielding and plastic flow of anisotropic metals journal May 1948
The Mechanical Behavior of Anisotropic Sedimentary Rocks journal January 1967
Computational Aspects of Elasto-Plastic Deformation in Polycrystalline Solids journal April 2012
Experimental Study of Shear Failure in Anisotropic Rocks journal January 1961
Modified Cam-Clay modelling of temperature effects in clays journal June 2001
A General Theory of Strength for Anisotropic Materials journal January 1971
Mechanical anisotropy in the Woodford Shale, Permian Basin: Origin, magnitude, and scale journal March 2011
Friction of Rocks and Stability of Rock Slopes journal June 1971
Development of an Orthotropic 3D Elastoplastic Material Model for Shale conference April 2013

Cited By (10)

An anisotropic viscoplasticity model for shale based on layered microstructure homogenization
  • Choo, Jinhyun; Semnani, Shabnam J.; White, Joshua A.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 45, Issue 4 https://doi.org/10.1002/nag.3167
journal December 2020
Simulating damage evolution and fracture propagation in sandstone containing a preexisting 3‐D surface flaw under uniaxial compression
  • Mondal, Sanjib; Olsen‐Kettle, Louise; Gross, Lutz
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 43, Issue 7 https://doi.org/10.1002/nag.2908
journal February 2019
Numerical modeling of adiabatic heat generation during rock fracture under dynamic loading journal March 2019
Boundary element analysis of transversely isotropic bi‐material halfspaces with inclined planes of isotropy and interfaces
  • Xiao, Sha; Yue, Zhongqi Quentin; Xiao, Hongtian
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 43, Issue 17 https://doi.org/10.1002/nag.2970
journal August 2019
Numerical modelling of heat shock‐assisted rock fracture
  • Pressacco, Martina; Saksala, Timo
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 44, Issue 1 https://doi.org/10.1002/nag.3004
journal October 2019
A bounding surface model for anisotropically overconsolidated clay incorporating thermodynamics admissible rotational hardening rule journal December 2019
A semianalytic time‐resolved poro‐elasto‐plastic model for wellbore stability and stimulation
  • Fokker, Peter A.; Singh, Aditya; Wassing, Brecht B. T.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 44, Issue 7 https://doi.org/10.1002/nag.3048
journal May 2020
Coupled poromechanics‐damage mechanics modeling of fracturing during injection in brittle rocks journal October 2019
Failure pattern of brittle rock governed by initial microcrack characteristics journal October 2018
Physical and numerical studies of stability of soil blocks reinforced by brittle shear pins journal June 2019

Similar Records

Line-source Representation for Laser-generated Ultrasound in an Elastic Transversely Isotropic Half Space
Journal Article · 2004 · Journal of the Acoustical Society of America · OSTI ID:912264

A continuum framework for coupled solid deformation–fluid flow through anisotropic elastoplastic porous media
Journal Article · 2020 · Computer Methods in Applied Mechanics and Engineering · OSTI ID:1800079

Evolution of anisotropy with saturation and its implications for the elastoplastic responses of clay rocks
Journal Article · 2021 · International Journal for Numerical and Analytical Methods in Geomechanics · OSTI ID:1976362