Strain localization and elastic-plastic coupling during deformation of porous sandstone
Abstract
In this paper, results of axisymmetric compression tests on weak, porous Castlegate Sandstone (Cretaceous, Utah, USA), covering a range of dilational and compactional behaviors, are examined for localization behavior. Assuming isotropy, bulk and shear moduli evolve as increasing functions of mean stress and Mises equivalent shear stress respectively, and as decreasing functions of work-conjugate plastic strains. Acoustic emissions events located during testing show onset of localization and permit calculation of observed shear and low-angle compaction localization zones, or bands, as localization commences. Total strain measured experimentally partitions into: A) elastic strain with constant moduli, B) elastic strain due to stress dependence of moduli, C) elastic strain due to moduli degradation with increasing plastic strain, and D) plastic strain. The third term is the elastic-plastic coupling strain, and though often ignored, contributes significantly to pre-failure total strain for brittle and transitional tests. Constitutive parameters and localization predictions derived from experiments are compared to theoretical predictions. In the brittle regime, predictions of band angles (angle between band normal and maximum compression) demonstrate good agreement with observed shear band angles. Compaction localization was observed in the transitional regime in between shear localization and spatially pervasive compaction, over a small range of mean stresses.more »
- Authors:
-
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Geomechanics Dept.
- Clarkson Univ., Potsdam, NY (United States). Mechanical and Aeronautical Engineering
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Clarkson Univ., Potsdam, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
- OSTI Identifier:
- 1464178
- Alternate Identifier(s):
- OSTI ID: 1549990
- Report Number(s):
- SAND-2014-19086J
Journal ID: ISSN 1365-1609; 540700
- Grant/Contract Number:
- NA0003525; SC0006883; EAR-0711346; NA-0003525
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal of Rock Mechanics and Mining Sciences
- Additional Journal Information:
- Journal Volume: 98; Journal ID: ISSN 1365-1609
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 15 GEOTHERMAL ENERGY; 36 MATERIALS SCIENCE; 42 ENGINEERING; localization theory; bifurcation; sandstone; experimental rock; mechanics
Citation Formats
Dewers, Thomas A., Issen, Kathleen A., Holcomb, David J., Olsson, William A., and Ingraham, Mathew D. Strain localization and elastic-plastic coupling during deformation of porous sandstone. United States: N. p., 2017.
Web. doi:10.1016/j.ijrmms.2017.06.005.
Dewers, Thomas A., Issen, Kathleen A., Holcomb, David J., Olsson, William A., & Ingraham, Mathew D. Strain localization and elastic-plastic coupling during deformation of porous sandstone. United States. https://doi.org/10.1016/j.ijrmms.2017.06.005
Dewers, Thomas A., Issen, Kathleen A., Holcomb, David J., Olsson, William A., and Ingraham, Mathew D. Tue .
"Strain localization and elastic-plastic coupling during deformation of porous sandstone". United States. https://doi.org/10.1016/j.ijrmms.2017.06.005. https://www.osti.gov/servlets/purl/1464178.
@article{osti_1464178,
title = {Strain localization and elastic-plastic coupling during deformation of porous sandstone},
author = {Dewers, Thomas A. and Issen, Kathleen A. and Holcomb, David J. and Olsson, William A. and Ingraham, Mathew D.},
abstractNote = {In this paper, results of axisymmetric compression tests on weak, porous Castlegate Sandstone (Cretaceous, Utah, USA), covering a range of dilational and compactional behaviors, are examined for localization behavior. Assuming isotropy, bulk and shear moduli evolve as increasing functions of mean stress and Mises equivalent shear stress respectively, and as decreasing functions of work-conjugate plastic strains. Acoustic emissions events located during testing show onset of localization and permit calculation of observed shear and low-angle compaction localization zones, or bands, as localization commences. Total strain measured experimentally partitions into: A) elastic strain with constant moduli, B) elastic strain due to stress dependence of moduli, C) elastic strain due to moduli degradation with increasing plastic strain, and D) plastic strain. The third term is the elastic-plastic coupling strain, and though often ignored, contributes significantly to pre-failure total strain for brittle and transitional tests. Constitutive parameters and localization predictions derived from experiments are compared to theoretical predictions. In the brittle regime, predictions of band angles (angle between band normal and maximum compression) demonstrate good agreement with observed shear band angles. Compaction localization was observed in the transitional regime in between shear localization and spatially pervasive compaction, over a small range of mean stresses. Finally, in contrast with predictions, detailed acoustic emissions analyses in this regime show low angle, compaction-dominated but shear-enhanced, localization.},
doi = {10.1016/j.ijrmms.2017.06.005},
journal = {International Journal of Rock Mechanics and Mining Sciences},
number = ,
volume = 98,
place = {United States},
year = {Tue Sep 12 00:00:00 EDT 2017},
month = {Tue Sep 12 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Elasto‐plastic modelling of Red Wildmoor sandstone
journal, May 1999
- Sulem, Jean; Vardoulakis, Ioannis; Papamichos, Euripides
- Mechanics of Cohesive‐frictional Materials, Vol. 4, Issue 3
Hydromechanical Behaviour of Fontainebleau Sandstone
journal, August 2005
- Sulem, J.; Ouffroukh, H.
- Rock Mechanics and Rock Engineering, Vol. 39, Issue 3
A model for stress and plastic strain induced nonlinear, hyperelastic anisotropy in soils: HYPERELASTIC ANISOTROPY IN SOILS
journal, July 2007
- Gajo, A.; Bigoni, D.
- International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 32, Issue 7
Small faults formed as deformation bands in sandstone
journal, January 1978
- Aydin, Atilla
- Pure and Applied Geophysics PAGEOPH, Vol. 116, Issue 4-5
Analysis of faulting in porous sandstones
journal, January 1983
- Aydin, Atilla; Johnson, Arvid M.
- Journal of Structural Geology, Vol. 5, Issue 1
Quasistatic propagation of compaction fronts in porous rock
journal, November 2001
- Olsson, William A.
- Mechanics of Materials, Vol. 33, Issue 11
Localized failure modes in a compactant porous rock
journal, July 2001
- Wong, Teng-fong; Baud, Patrick; Klein, Emmanuelle
- Geophysical Research Letters, Vol. 28, Issue 13
Mechanical behaviour and failure mode of bentheim sandstone under triaxial compression
journal, January 2001
- Klein, E.; Baud, P.; Reuschlé, T.
- Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy, Vol. 26, Issue 1-2
Conditions for compaction bands in porous rock
journal, September 2000
- Issen, K. A.; Rudnicki, J. W.
- Journal of Geophysical Research: Solid Earth, Vol. 105, Issue B9
Theory of compaction bands in porous rock
journal, January 2001
- Issen, K. A.; Rudnicki, J. W.
- Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy, Vol. 26, Issue 1-2
Compaction Localization in Porous Sandstone: Implications for Reservoir Mechanics
journal, September 2002
- Olsson, W. A.; Holcomb, D. J.; Rudnicki, J. W.
- Oil & Gas Science and Technology, Vol. 57, Issue 5
Failure Mode and Spatial Distribution of Damage in Rothbach Sandstone in the Brittle-ductile Transition
journal, May 2003
- Bésuelle, P.; Baud, P.; Wong, T.
- Pure and Applied Geophysics, Vol. 160, Issue 5-6
Fracture-like borehole breakouts in high-porosity sandstone: Are they caused by compaction bands?
journal, January 2001
- Haimson, B. C.
- Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy, Vol. 26, Issue 1-2
Computational modeling of deformation bands in granular media. I. Geological and mathematical framework
journal, July 2004
- Borja, Ronaldo I.; Aydin, Atilla
- Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 27-29
Computational modeling of deformation bands in granular media. II. Numerical simulations
journal, July 2004
- Borja, Ronaldo I.
- Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 27-29
Conditions for instabilities in collapsible solids including volume implosion and compaction banding
journal, August 2006
- Borja, Ronaldo I.
- Acta Geotechnica, Vol. 1, Issue 2
Borehole breakouts and compaction bands in two high-porosity sandstones
journal, February 2004
- Haimson, B.; Lee, H.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 41, Issue 2
Compaction localization in porous sandstones: spatial evolution of damage and acoustic emission activity
journal, April 2004
- Baud, Patrick; Klein, Emmanuelle; Wong, Teng-fong
- Journal of Structural Geology, Vol. 26, Issue 4
Initiation and Propagation of Compaction Bands in Dry and Wet Bentheim Sandstone
journal, May 2009
- Stanchits, Sergei; Fortin, Jerome; Gueguen, Yves
- Pure and Applied Geophysics, Vol. 166, Issue 5-7
Pure and shear-enhanced compaction bands in Aztec Sandstone
journal, December 2010
- Eichhubl, Peter; Hooker, John N.; Laubach, Stephen E.
- Journal of Structural Geology, Vol. 32, Issue 12
Use of acoustic emissions to investigate localization in high-porosity sandstone subjected to true triaxial stresses
journal, October 2013
- Ingraham, Mathew D.; Issen, Kathleen A.; Holcomb, David J.
- Acta Geotechnica, Vol. 8, Issue 6
Response of Castlegate sandstone to true triaxial states of stress: CASTLEGATE TRUE TRIAXIAL RESPONSE
journal, February 2013
- Ingraham, M. D.; Issen, K. A.; Holcomb, D. J.
- Journal of Geophysical Research: Solid Earth, Vol. 118, Issue 2
Experimental characterisation of the localisation phenomenon inside a Vosges sandstone in a triaxial cell
journal, December 2000
- Bésuelle, P.; Desrues, J.; Raynaud, S.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 37, Issue 8
Compacting and dilating shear bands in porous rock: Theoretical and experimental conditions
journal, July 2001
- Bésuelle, Pierre
- Journal of Geophysical Research: Solid Earth, Vol. 106, Issue B7
Dilation bands: A new form of localized failure in granular media: DILATION BANDS
journal, December 2002
- Du Bernard, Xavier; Eichhubl, Peter; Aydin, Atilla
- Geophysical Research Letters, Vol. 29, Issue 24
Geological and mathematical framework for failure modes in granular rock
journal, January 2006
- Aydin, Atilla; Borja, Ronaldo I.; Eichhubl, Peter
- Journal of Structural Geology, Vol. 28, Issue 1
Compaction localization in the Earth and the laboratory: state of the research and research directions
journal, April 2007
- Holcomb, David; Rudnicki, John W.; Issen, Kathleen A.
- Acta Geotechnica, Vol. 2, Issue 1
Theoretical and experimental investigation of compaction bands in porous rock
journal, April 1999
- Olsson, William A.
- Journal of Geophysical Research: Solid Earth, Vol. 104, Issue B4
Compaction localization in porous rock
journal, November 2000
- Olsson, W. A.; Holcomb, D. J.
- Geophysical Research Letters, Vol. 27, Issue 21
Architecture and origin of an amalgamated fluvial sheet sand, lower Castlegate Formation, Book Cliffs, Utah
journal, April 2007
- McLaurin, Brett T.; Steel, Ron J.
- Sedimentary Geology, Vol. 197, Issue 3-4
Conditions for the localization of deformation in pressure-sensitive dilatant materials
journal, December 1975
- Rudnicki, J. W.; Rice, J. R.
- Journal of the Mechanics and Physics of Solids, Vol. 23, Issue 6
A Class of Elastic‐Plastic Constitutive Laws for Brittle Rock
journal, December 1984
- Rudnicki, J. W.
- Journal of Rheology, Vol. 28, Issue 6
Elastic Potentials and the Structure of Inelastic Constitutive Laws
journal, November 1973
- Hill, R.; Rice, J. R.
- SIAM Journal on Applied Mathematics, Vol. 25, Issue 3
Associated and Non‐Associated Aspects of the Constitutive Laws for Coupled Elastic/Plastic Materials
journal, April 2002
- Collins, I. F.
- International Journal of Geomechanics, Vol. 2, Issue 2
Reexamination of fault angles predicted by shear localization theory
journal, June 1998
- Rudnicki, J. W.; Olsson, W. A.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 35, Issue 4-5
Effect of Loading Path and Porosity on the Failure Mode of Porous Rocks
journal, August 1992
- Wong, Teng-fong; Szeto, Hiram; Zhang, Jiaxiang
- Applied Mechanics Reviews, Vol. 45, Issue 8
The transition from brittle faulting to cataclastic flow in porous sandstones: Mechanical deformation
journal, February 1997
- Wong, Teng-fong; David, Christian; Zhu, Wenlu
- Journal of Geophysical Research: Solid Earth, Vol. 102, Issue B2
A new methodology to delineate the compactive yield cap of two porous sandstones under undrained condition
journal, May 2007
- Tembe, Sheryl; Vajdova, Veronika; Baud, Patrick
- Mechanics of Materials, Vol. 39, Issue 5
Micromechanics of pressure-induced grain crushing in porous rocks
journal, January 1990
- Zhang, Jiaxiang; Wong, Teng-Fong; Davis, Daniel M.
- Journal of Geophysical Research, Vol. 95, Issue B1
Material Model for Granular Soils
journal, June 1971
- DiMaggio, Frank L.; Sandler, Ivan S.
- Journal of the Engineering Mechanics Division, Vol. 97, Issue 3
The influence of constitutive models on localization conditions for porous rock
journal, November 2002
- Issen, Kathleen A.
- Engineering Fracture Mechanics, Vol. 69, Issue 17
CT studies of brittle failure in castlegate sandstone
journal, September 1991
- Vinegar, H. J.; De Waal, J. A.; Wellington, S. L.
- International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 28, Issue 5
Behavior of Hydrocarbon Reservoir Sands and Sandstones
journal, November 2003
- Coop, M. R.; Willson, S. M.
- Journal of Geotechnical and Geoenvironmental Engineering, Vol. 129, Issue 11
Subcritical compaction and yielding of granular quartz sand
journal, December 2003
- Karner, Stephen L.; Chester, Frederick M.; Kronenberg, Andreas K.
- Tectonophysics, Vol. 377, Issue 3-4
Behavior of Berea sandstone under confining pressure part I: Yield and failure surfaces, and nonlinear elastic response
journal, January 1991
- Khan, Akhtar S.; Xiang, Ying; Huang, Sujian
- International Journal of Plasticity, Vol. 7, Issue 6
Stress sensitivity of elastic moduli and electrical resistivity in porous rocks
journal, February 2004
- Kaselow, Axel; Shapiro, Serge A.
- Journal of Geophysics and Engineering, Vol. 1, Issue 1
Geomechanical behavior of Cambrian Mount Simon Sandstone reservoir lithofacies, Iowa Shelf, USA
journal, February 2014
- Dewers, Thomas; Newell, Pania; Broome, Scott
- International Journal of Greenhouse Gas Control, Vol. 21
Inelastic constitutive properties and shear localization in Tennessee marble
journal, January 2001
- Holcomb, D. J.; Rudnicki, J. W.
- International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 25, Issue 2
Works referencing / citing this record:
Localization of deformation and its effects on power-law singularity preceding catastrophic rupture in rocks
journal, June 2019
- Xue, Jian; Hao, Shengwang; Yang, Rong
- International Journal of Damage Mechanics, Vol. 29, Issue 1
Deformation Experiments on Bowland and Posidonia Shale—Part II: Creep Behavior at In Situ pc–T Conditions
journal, August 2019
- Herrmann, J.; Rybacki, E.; Sone, H.
- Rock Mechanics and Rock Engineering, Vol. 53, Issue 2