Strain localization and elastic-plastic coupling during deformation of porous sandstone

Dewers, Thomas A.; Issen, Kathleen A.; Holcomb, David J.; Olsson, William A.; Ingraham, Mathew D.

doi:10.1016/j.ijrmms.2017.06.005

Strain localization and elastic-plastic coupling during deformation of porous sandstone

Journal Article · Tue Sep 12 00:00:00 EDT 2017 · International Journal of Rock Mechanics and Mining Sciences

DOI:https://doi.org/10.1016/j.ijrmms.2017.06.005· OSTI ID:1464178

Dewers, Thomas A. ^[1]; Issen, Kathleen A. ^[2]; Holcomb, David J. ^[1]; Olsson, William A. ^[1]; Ingraham, Mathew D. ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Geomechanics Dept.
Clarkson Univ., Potsdam, NY (United States). Mechanical and Aeronautical Engineering

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.

View Accepted Manuscript (DOE)

Research Organization:: Clarkson Univ., Potsdam, NY (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: National Science Foundation (NSF) (United States); USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: NA0003525; SC0006883

OSTI ID:: 1464178

Alternate ID(s):: OSTI ID: 1549990

Report Number(s):: SAND--2014-19086J; 540700

Journal Information:: International Journal of Rock Mechanics and Mining Sciences, Journal Name: International Journal of Rock Mechanics and Mining Sciences Vol. 98; ISSN 1365-1609

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (49)

Elasto‐plastic modelling of Red Wildmoor sandstone Sulem, Jean; Vardoulakis, Ioannis; Papamichos, Euripides Mechanics of Cohesive‐frictional Materials, Vol. 4, Issue 3 https://doi.org/10.1002/(SICI)1099-1484(199905)4:3<215::AID-CFM61>3.0.CO;2-8	journal	May 1999
Response of Castlegate sandstone to true triaxial states of stress: CASTLEGATE TRUE TRIAXIAL RESPONSE Ingraham, M. D.; Issen, K. A.; Holcomb, D. J. Journal of Geophysical Research: Solid Earth, Vol. 118, Issue 2 https://doi.org/10.1002/jgrb.50084	journal	February 2013
Inelastic constitutive properties and shear localization in Tennessee marble Holcomb, D. J.; Rudnicki, J. W. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 25, Issue 2 https://doi.org/10.1002/nag.121	journal	January 2001
A model for stress and plastic strain induced nonlinear, hyperelastic anisotropy in soils: HYPERELASTIC ANISOTROPY IN SOILS Gajo, A.; Bigoni, D. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 32, Issue 7 https://doi.org/10.1002/nag.648	journal	July 2007
Small faults formed as deformation bands in sandstone Aydin, Atilla Pure and Applied Geophysics PAGEOPH, Vol. 116, Issue 4-5 https://doi.org/10.1007/BF00876546	journal	January 1978
Borehole Breakouts in Berea Sandstone Reveal a New Fracture Mechanism Haimson, B. C. Pure and Applied Geophysics, Vol. 160, Issue 5 https://doi.org/10.1007/PL00012567	journal	May 2003
Failure Mode and Spatial Distribution of Damage in Rothbach Sandstone in the Brittle-ductile Transition Bésuelle, P.; Baud, P.; Wong, T. Pure and Applied Geophysics, Vol. 160, Issue 5-6 https://doi.org/10.1007/PL00012569	journal	May 2003
Initiation and Propagation of Compaction Bands in Dry and Wet Bentheim Sandstone Stanchits, Sergei; Fortin, Jerome; Gueguen, Yves Pure and Applied Geophysics, Vol. 166, Issue 5-7 https://doi.org/10.1007/s00024-009-0478-1	journal	May 2009
Hydromechanical Behaviour of Fontainebleau Sandstone Sulem, J.; Ouffroukh, H. Rock Mechanics and Rock Engineering, Vol. 39, Issue 3 https://doi.org/10.1007/s00603-005-0065-4	journal	August 2005
Conditions for instabilities in collapsible solids including volume implosion and compaction banding Borja, Ronaldo I. Acta Geotechnica, Vol. 1, Issue 2 https://doi.org/10.1007/s11440-006-0012-x	journal	August 2006
Compaction localization in the Earth and the laboratory: state of the research and research directions Holcomb, David; Rudnicki, John W.; Issen, Kathleen A. Acta Geotechnica, Vol. 2, Issue 1 https://doi.org/10.1007/s11440-007-0027-y	journal	April 2007
Use of acoustic emissions to investigate localization in high-porosity sandstone subjected to true triaxial stresses Ingraham, Mathew D.; Issen, Kathleen A.; Holcomb, David J. Acta Geotechnica, Vol. 8, Issue 6 https://doi.org/10.1007/s11440-013-0275-y	journal	October 2013
Conditions for the localization of deformation in pressure-sensitive dilatant materials Rudnicki, J. W.; Rice, J. R. Journal of the Mechanics and Physics of Solids, Vol. 23, Issue 6 https://doi.org/10.1016/0022-5096(75)90001-0	journal	December 1975
CT studies of brittle failure in castlegate sandstone Vinegar, H. J.; De Waal, J. A.; Wellington, S. L. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 28, Issue 5 https://doi.org/10.1016/0148-9062(91)90082-W	journal	September 1991
Analysis of faulting in porous sandstones Aydin, Atilla; Johnson, Arvid M. Journal of Structural Geology, Vol. 5, Issue 1 https://doi.org/10.1016/0191-8141(83)90004-4	journal	January 1983
Behavior of Berea sandstone under confining pressure part I: Yield and failure surfaces, and nonlinear elastic response Khan, Akhtar S.; Xiang, Ying; Huang, Sujian International Journal of Plasticity, Vol. 7, Issue 6 https://doi.org/10.1016/0749-6419(91)90046-2	journal	January 1991
The influence of constitutive models on localization conditions for porous rock Issen, Kathleen A. Engineering Fracture Mechanics, Vol. 69, Issue 17 https://doi.org/10.1016/S0013-7944(02)00067-X	journal	November 2002
Reexamination of fault angles predicted by shear localization theory Rudnicki, J. W.; Olsson, W. A. International Journal of Rock Mechanics and Mining Sciences, Vol. 35, Issue 4-5 https://doi.org/10.1016/S0148-9062(98)00104-1	journal	June 1998
Quasistatic propagation of compaction fronts in porous rock Olsson, William A. Mechanics of Materials, Vol. 33, Issue 11 https://doi.org/10.1016/S0167-6636(01)00078-3	journal	November 2001
Experimental characterisation of the localisation phenomenon inside a Vosges sandstone in a triaxial cell Bésuelle, P.; Desrues, J.; Raynaud, S. International Journal of Rock Mechanics and Mining Sciences, Vol. 37, Issue 8 https://doi.org/10.1016/S1365-1609(00)00057-5	journal	December 2000
Fracture-like borehole breakouts in high-porosity sandstone: Are they caused by compaction bands? Haimson, B. C. Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy, Vol. 26, Issue 1-2 https://doi.org/10.1016/S1464-1895(01)00016-3	journal	January 2001
Mechanical behaviour and failure mode of bentheim sandstone under triaxial compression Klein, E.; Baud, P.; Reuschlé, T. Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy, Vol. 26, Issue 1-2 https://doi.org/10.1016/S1464-1895(01)00017-5	journal	January 2001
Theory of compaction bands in porous rock Issen, K. A.; Rudnicki, J. W. Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy, Vol. 26, Issue 1-2 https://doi.org/10.1016/S1464-1895(01)00031-X	journal	January 2001
Computational modeling of deformation bands in granular media. II. Numerical simulations Borja, Ronaldo I. Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 27-29 https://doi.org/10.1016/j.cma.2003.09.018	journal	July 2004
Computational modeling of deformation bands in granular media. I. Geological and mathematical framework Borja, Ronaldo I.; Aydin, Atilla Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 27-29 https://doi.org/10.1016/j.cma.2003.09.019	journal	July 2004
Geomechanical behavior of Cambrian Mount Simon Sandstone reservoir lithofacies, Iowa Shelf, USA Dewers, Thomas; Newell, Pania; Broome, Scott International Journal of Greenhouse Gas Control, Vol. 21 https://doi.org/10.1016/j.ijggc.2013.11.010	journal	February 2014
Borehole breakouts and compaction bands in two high-porosity sandstones Haimson, B.; Lee, H. International Journal of Rock Mechanics and Mining Sciences, Vol. 41, Issue 2 https://doi.org/10.1016/j.ijrmms.2003.09.001	journal	February 2004
Compaction localization in porous sandstones: spatial evolution of damage and acoustic emission activity Baud, Patrick; Klein, Emmanuelle; Wong, Teng-fong Journal of Structural Geology, Vol. 26, Issue 4 https://doi.org/10.1016/j.jsg.2003.09.002	journal	April 2004
Geological and mathematical framework for failure modes in granular rock Aydin, Atilla; Borja, Ronaldo I.; Eichhubl, Peter Journal of Structural Geology, Vol. 28, Issue 1 https://doi.org/10.1016/j.jsg.2005.07.008	journal	January 2006
Pure and shear-enhanced compaction bands in Aztec Sandstone Eichhubl, Peter; Hooker, John N.; Laubach, Stephen E. Journal of Structural Geology, Vol. 32, Issue 12 https://doi.org/10.1016/j.jsg.2010.02.004	journal	December 2010
A new methodology to delineate the compactive yield cap of two porous sandstones under undrained condition Tembe, Sheryl; Vajdova, Veronika; Baud, Patrick Mechanics of Materials, Vol. 39, Issue 5 https://doi.org/10.1016/j.mechmat.2006.08.005	journal	May 2007
Architecture and origin of an amalgamated fluvial sheet sand, lower Castlegate Formation, Book Cliffs, Utah McLaurin, Brett T.; Steel, Ron J. Sedimentary Geology, Vol. 197, Issue 3-4 https://doi.org/10.1016/j.sedgeo.2006.10.005	journal	April 2007
Subcritical compaction and yielding of granular quartz sand Karner, Stephen L.; Chester, Frederick M.; Kronenberg, Andreas K. Tectonophysics, Vol. 377, Issue 3-4 https://doi.org/10.1016/j.tecto.2003.10.006	journal	December 2003
Theoretical and experimental investigation of compaction bands in porous rock Olsson, William A. Journal of Geophysical Research: Solid Earth, Vol. 104, Issue B4 https://doi.org/10.1029/1998JB900120	journal	April 1999
Compaction localization in porous rock Olsson, W. A.; Holcomb, D. J. Geophysical Research Letters, Vol. 27, Issue 21 https://doi.org/10.1029/2000GL011723	journal	November 2000
Conditions for compaction bands in porous rock Issen, K. A.; Rudnicki, J. W. Journal of Geophysical Research: Solid Earth, Vol. 105, Issue B9 https://doi.org/10.1029/2000JB900185	journal	September 2000
Localized failure modes in a compactant porous rock Wong, Teng-fong; Baud, Patrick; Klein, Emmanuelle Geophysical Research Letters, Vol. 28, Issue 13 https://doi.org/10.1029/2001GL012960	journal	July 2001
Compacting and dilating shear bands in porous rock: Theoretical and experimental conditions Bésuelle, Pierre Journal of Geophysical Research: Solid Earth, Vol. 106, Issue B7 https://doi.org/10.1029/2001JB900011	journal	July 2001
Dilation bands: A new form of localized failure in granular media: DILATION BANDS Du Bernard, Xavier; Eichhubl, Peter; Aydin, Atilla Geophysical Research Letters, Vol. 29, Issue 24 https://doi.org/10.1029/2002GL015966	journal	December 2002
The transition from brittle faulting to cataclastic flow in porous sandstones: Mechanical deformation Wong, Teng-fong; David, Christian; Zhu, Wenlu Journal of Geophysical Research: Solid Earth, Vol. 102, Issue B2 https://doi.org/10.1029/96JB03281	journal	February 1997
Micromechanics of pressure-induced grain crushing in porous rocks Zhang, Jiaxiang; Wong, Teng-Fong; Davis, Daniel M. Journal of Geophysical Research, Vol. 95, Issue B1 https://doi.org/10.1029/JB095iB01p00341	journal	January 1990
Behavior of Hydrocarbon Reservoir Sands and Sandstones Coop, M. R.; Willson, S. M. Journal of Geotechnical and Geoenvironmental Engineering, Vol. 129, Issue 11 https://doi.org/10.1061/(ASCE)1090-0241(2003)129:11(1010)	journal	November 2003
Associated and Non‐Associated Aspects of the Constitutive Laws for Coupled Elastic/Plastic Materials Collins, I. F. International Journal of Geomechanics, Vol. 2, Issue 2 https://doi.org/10.1061/(ASCE)1532-3641(2002)2:2(259)	journal	April 2002
Material Model for Granular Soils DiMaggio, Frank L.; Sandler, Ivan S. Journal of the Engineering Mechanics Division, Vol. 97, Issue 3 https://doi.org/10.1061/JMCEA3.0001427	journal	June 1971
Stress sensitivity of elastic moduli and electrical resistivity in porous rocks Kaselow, Axel; Shapiro, Serge A. Journal of Geophysics and Engineering, Vol. 1, Issue 1 https://doi.org/10.1088/1742-2132/1/1/001	journal	February 2004
Effect of Loading Path and Porosity on the Failure Mode of Porous Rocks Wong, Teng-fong; Szeto, Hiram; Zhang, Jiaxiang Applied Mechanics Reviews, Vol. 45, Issue 8 https://doi.org/10.1115/1.3119759	journal	August 1992
A Class of Elastic‐Plastic Constitutive Laws for Brittle Rock Rudnicki, J. W. Journal of Rheology, Vol. 28, Issue 6 https://doi.org/10.1122/1.549766	journal	December 1984
Elastic Potentials and the Structure of Inelastic Constitutive Laws Hill, R.; Rice, J. R. SIAM Journal on Applied Mathematics, Vol. 25, Issue 3 https://doi.org/10.1137/0125045	journal	November 1973
Compaction Localization in Porous Sandstone: Implications for Reservoir Mechanics Olsson, W. A.; Holcomb, D. J.; Rudnicki, J. W. Oil & Gas Science and Technology, Vol. 57, Issue 5 https://doi.org/10.2516/ogst:2002040	journal	September 2002

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