Mechanism of formation of wiggly compaction bands in porous sandstone: 2. Numerical simulation using discrete element method
Abstract
Wiggly compaction bands in porous aeolian s andstone vary from chevron shape to wavy shape to nearly straight. In some outcrops these variations occur along a single band. Here, a bonded close-packed discrete element model is used to investigate what mechanical properties control the formation of wiggly compaction bands (CBs). To simulate the volumetric yielding failure of porous sandstone, a discrete element shrinks when the force state of one of its bonds reaches the yielding cap defined by the failure force and the aspect ratio (k) of the yielding ellipse. A Matlab code “MatDEM3D” has been developed on the basis of this enhanced discrete element method. Mechanical parameters of elements are chosen according to the elastic properties and the strengths of porous sandstone. In numerical simulations, the failure angle between the band segment and maximum principle stress decreases from 90° to approximately 45° as k increases from 0.5 to 2, and compaction bands vary from straight to chevron shape. With increasing strain, subsequent compaction occurs inside or beside compacted elements, which leads to further compaction and thickening of bands. The simulations indicate that a greater yielding stress promotes chevron CBs, and a greater cement strength promotes straight CBs. Combined withmore »
- Authors:
-
- Nanjing Univ. (China). Suzhou High-Tech Inst. and School of Earth Sciences and Engineering; Stanford Univ., CA (United States). Dept. of Geological and Environmental Sciences
- Stanford Univ., CA (United States). Dept. of Geological and Environmental Sciences
- Nanjing Univ. (China). Suzhou High-Tech Inst. and School of Earth Sciences and Engineering
- Nanjing Univ. (China). School of Earth Sciences and Engineering
- Publication Date:
- Research Org.:
- Stanford Univ., CA (United States)
- Sponsoring Org.:
- USDOE; National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1469105
- Alternate Identifier(s):
- OSTI ID: 1402378
- Grant/Contract Number:
- FG02-04ER15588; 41230636; 41302216; BK20130377
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Geophysical Research. Solid Earth
- Additional Journal Information:
- Journal Volume: 120; Journal Issue: 12; Journal ID: ISSN 2169-9313
- Publisher:
- American Geophysical Union
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; wiggly compaction band; discrete element method; yielding cap; failure angle; porous sandstone
Citation Formats
Liu, Chun, Pollard, David D., Gu, Kai, and Shi, Bin. Mechanism of formation of wiggly compaction bands in porous sandstone: 2. Numerical simulation using discrete element method. United States: N. p., 2015.
Web. doi:10.1002/2015JB012374.
Liu, Chun, Pollard, David D., Gu, Kai, & Shi, Bin. Mechanism of formation of wiggly compaction bands in porous sandstone: 2. Numerical simulation using discrete element method. United States. https://doi.org/10.1002/2015JB012374
Liu, Chun, Pollard, David D., Gu, Kai, and Shi, Bin. Tue .
"Mechanism of formation of wiggly compaction bands in porous sandstone: 2. Numerical simulation using discrete element method". United States. https://doi.org/10.1002/2015JB012374. https://www.osti.gov/servlets/purl/1469105.
@article{osti_1469105,
title = {Mechanism of formation of wiggly compaction bands in porous sandstone: 2. Numerical simulation using discrete element method},
author = {Liu, Chun and Pollard, David D. and Gu, Kai and Shi, Bin},
abstractNote = {Wiggly compaction bands in porous aeolian s andstone vary from chevron shape to wavy shape to nearly straight. In some outcrops these variations occur along a single band. Here, a bonded close-packed discrete element model is used to investigate what mechanical properties control the formation of wiggly compaction bands (CBs). To simulate the volumetric yielding failure of porous sandstone, a discrete element shrinks when the force state of one of its bonds reaches the yielding cap defined by the failure force and the aspect ratio (k) of the yielding ellipse. A Matlab code “MatDEM3D” has been developed on the basis of this enhanced discrete element method. Mechanical parameters of elements are chosen according to the elastic properties and the strengths of porous sandstone. In numerical simulations, the failure angle between the band segment and maximum principle stress decreases from 90° to approximately 45° as k increases from 0.5 to 2, and compaction bands vary from straight to chevron shape. With increasing strain, subsequent compaction occurs inside or beside compacted elements, which leads to further compaction and thickening of bands. The simulations indicate that a greater yielding stress promotes chevron CBs, and a greater cement strength promotes straight CBs. Combined with the microscopic analysis introduced in the companion paper, we conclude that the shape of wiggly CBs is controlled by the mechanical properties of sandstone, including the aspect ratio of the yielding ellipse, the cri tical yielding stress, and the cement strength, w hich are d etermined primarily by petrophysical attributes, e.g., grain sorting, porosity, and cementation.},
doi = {10.1002/2015JB012374},
journal = {Journal of Geophysical Research. Solid Earth},
number = 12,
volume = 120,
place = {United States},
year = {Tue Nov 17 00:00:00 EST 2015},
month = {Tue Nov 17 00:00:00 EST 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 18 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Simulation of the Micro-physics of Rocks Using LSMearth
journal, August 2002
- Place, D.; Lombard, F.; Mora, P.
- Pure and Applied Geophysics, Vol. 159, Issue 9
Effect of grain size distribution on the development of compaction localization in porous sandstone: GRAIN SIZE EFFECT ON STRAIN LOCALIZATION
journal, November 2012
- Cheung, Cecilia S. N.; Baud, Patrick; Wong, Teng-fong
- Geophysical Research Letters, Vol. 39, Issue 21
Distinct element modeling of deformation bands in sandstone
journal, August 1995
- Antonellini, Marco A.; Pollard, David D.
- Journal of Structural Geology, Vol. 17, Issue 8
A bonded-particle model for rock
journal, December 2004
- Potyondy, D. O.; Cundall, P. A.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 41, Issue 8, p. 1329-1364
Permeability effects of deformation band arrays in sandstone
journal, September 2004
- Sternlof, K. R.; Chapin, J. R.; Pollard, D. D.
- AAPG Bulletin, Vol. 88, Issue 9
The brittle-ductile transition in porous rock: A review
journal, November 2012
- Wong, Teng-fong; Baud, Patrick
- Journal of Structural Geology, Vol. 44
The propagation of compaction bands in porous rocks based on breakage mechanics: PROPAGATION OF COMPACTION BANDS
journal, May 2013
- Das, Arghya; Nguyen, Giang D.; Einav, Itai
- Journal of Geophysical Research: Solid Earth, Vol. 118, Issue 5
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
Anticrack model for pressure solution surfaces
journal, January 1981
- Fletcher, Raymond C.; Pollard, David D.
- Geology, Vol. 9, Issue 9
Shear and compaction band formation on an elliptic yield cap
journal, January 2004
- Rudnicki, John W.
- Journal of Geophysical Research, Vol. 109, Issue B3
Discrete element modelling of contractional fault-propagation folding above rigid basement fault blocks
journal, April 2003
- Finch, Emma; Hardy, Stuart; Gawthorpe, Rob
- Journal of Structural Geology, Vol. 25, Issue 4
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
Origin of compaction bands: Anti-cracking or constitutive instability?
journal, March 2011
- Chemenda, Alexandre I.
- Tectonophysics, Vol. 499, Issue 1-4
Compaction bands due to grain crushing in porous rocks: A theoretical approach based on breakage mechanics
journal, January 2011
- Das, Arghya; Nguyen, Giang D.; Einav, Itai
- Journal of Geophysical Research, Vol. 116, Issue B8
A discrete element model to describe failure of strong rock in uniaxial compression
journal, November 2010
- Ergenzinger, Christian; Seifried, Robert; Eberhard, Peter
- Granular Matter, Vol. 13, Issue 4
Discrete element modeling of the faulting in the sedimentary cover above an active salt diapir
journal, September 2009
- Yin, Hongwei; Zhang, Jie; Meng, Lingsen
- Journal of Structural Geology, Vol. 31, Issue 9
A Lattice Solid Model for the Nonlinear Dynamics of Earthquakes
journal, December 1993
- Mora, Peter; Place, David
- International Journal of Modern Physics C, Vol. 04, Issue 06
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
Numerical model of crushing of grains inside two-dimensional granular materials
journal, November 1999
- Tsoungui, Olivier; Vallet, Denis; Charmet, Jean-Claude
- Powder Technology, Vol. 105, Issue 1-3
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
Porosity and grain size controls on compaction band formation in Jurassic Navajo Sandstone: CONTROLS ON COMPACTION BANDS
journal, November 2010
- Schultz, Richard A.; Okubo, Chris H.; Fossen, Haakon
- Geophysical Research Letters, Vol. 37, Issue 22
Discrete element modelling of the influence of cover strength on basement-involved fault-propagation folding
journal, March 2006
- Hardy, Stuart; Finch, Emma
- Tectonophysics, Vol. 415, Issue 1-4
Permeability characterization of natural compaction bands using core flooding experiments and three-dimensional image-based analysis: Comparing and contrasting the results from two different methods
journal, January 2015
- Deng, Shang; Zuo, Lin; Aydin, Atilla
- AAPG Bulletin, Vol. 99, Issue 01
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
Simulation of drilling-induced compaction bands using discrete element method: NUMERICAL SIMULATION OF COMPACTION BANDS USING DISCRETE ELEMENT METHOD
journal, May 2013
- Rahmati, H.; Nouri, A.; Chan, D.
- International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 38, Issue 1
Cross-bedding related anisotropy and its interplay with various boundary conditions in the formation and orientation of joints in an aeolian sandstone
journal, August 2015
- Deng, Shang; Cilona, Antonino; Morrow, Carolyn
- Journal of Structural Geology, Vol. 77
A discrete element model for the development of compaction localization in granular rock
journal, January 2008
- Wang, Baoshan; Chen, Yong; Wong, Teng-fong
- Journal of Geophysical Research, Vol. 113, Issue B3
The formation of tabular compaction-band arrays: Theoretical and numerical analysis
journal, May 2009
- Chemenda, A. I.
- Journal of the Mechanics and Physics of Solids, Vol. 57, Issue 5
Simulation of sedimentary rock deformation: Lab-scale model calibration and parameterization
journal, January 2002
- Boutt, David F.
- Geophysical Research Letters, Vol. 29, Issue 4
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
Simulation of the frictional stick-slip instability
journal, January 1994
- Mora, Peter; Place, David
- Pure and Applied Geophysics PAGEOPH, Vol. 143, Issue 1-3
Micromechanical modeling of cracking and failure in brittle rocks
journal, July 2000
- Hazzard, James F.; Young, R. Paul; Maxwell, S. C.
- Journal of Geophysical Research: Solid Earth, Vol. 105, Issue B7
Numerical simulation of compaction bands in high-porosity sedimentary rock
journal, January 2005
- Katsman, R.; Aharonov, E.; Scher, H.
- Mechanics of Materials, Vol. 37, Issue 1
Conditions and implications for compaction band formation in the Navajo Sandstone, Utah
journal, October 2011
- Fossen, Haakon; Schultz, Richard A.; Torabi, Anita
- Journal of Structural Geology, Vol. 33, Issue 10
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 bands simulated in Discrete Element Models
journal, May 2009
- Marketos, G.; Bolton, M. D.
- Journal of Structural Geology, Vol. 31, Issue 5
A distinct element method numerical investigation of compaction processes in highly porous cemented granular materials: A DEM NUMERICAL INVESTIGATION OF COMPACTION PROCESSES
journal, January 2014
- Dattola, G.; di Prisco, C.; Redaelli, I.
- International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 38, Issue 11
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
Eshelby's solution for ellipsoidal inhomogeneous inclusions with applications to compaction bands
journal, October 2014
- Meng, Chunfang; Pollard, David D.
- Journal of Structural Geology, Vol. 67
Analytical solutions and numerical tests of elastic and failure behaviors of close-packed lattice for brittle rocks and crystals: ANALYTICAL SOLUTIONS OF DEM PROPERTIES
journal, January 2013
- Liu, Chun; Pollard, David D.; Shi, Bin
- Journal of Geophysical Research: Solid Earth, Vol. 118, Issue 1
The role of microcracking in shear-fracture propagation in granite
journal, January 1995
- Moore, D. E.; Lockner, D. A.
- Journal of Structural Geology, Vol. 17, Issue 1
Distinct element analysis of bulk crushing: effect of particle properties and loading rate
journal, April 2000
- Couroyer, C.; Ning, Z.; Ghadiri, M.
- Powder Technology, Vol. 109, Issue 1-3
Compaction bands: a structural analog for anti-mode I cracks in aeolian sandstone
journal, December 1996
- Mollema, P. N.; Antonellini, M. A.
- Tectonophysics, Vol. 267, Issue 1-4
Anticrack inclusion model for compaction bands in sandstone: ANTICRACK BANDS
journal, November 2005
- Sternlof, Kurt R.; Rudnicki, John W.; Pollard, David D.
- Journal of Geophysical Research: Solid Earth, Vol. 110, Issue B11
Compression-induced microcrack growth in brittle solids: Axial splitting and shear failure
journal, January 1985
- Horii, H.; Nemat-Nasser, S.
- Journal of Geophysical Research, Vol. 90, Issue B4
Evolution of compactive shear deformation bands: Numerical models and geological data
journal, March 2012
- Chemenda, Alexandre I.; Wibberley, Christopher; Saillet, Elodie
- Tectonophysics, Vol. 526-529
Mechanism of formation of wiggly compaction bands in porous sandstone: 1. Observations and conceptual model
journal, December 2015
- Liu, Chun; Pollard, David D.; Deng, Shang
- Journal of Geophysical Research: Solid Earth, Vol. 120, Issue 12
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
A discrete numerical model for granular assemblies
journal, March 1979
- Cundall, P. A.; Strack, O. D. L.
- Géotechnique, Vol. 29, Issue 1
Models for compaction band propagation
journal, January 2007
- Rudnicki, J. W.
- Geological Society, London, Special Publications, Vol. 284, Issue 1
Simulation of the Micro-physics of Rocks Using LSMearth
book, January 2002
- Place, David; Lombard, Fanny; Mora, Peter
- Earthquake Processes: Physical Modelling, Numerical Simulation and Data Analysis Part I
The role of microcracking in shear-fracture propagation in granite: D. E. Moore & D. A. Lockner, Journal of Structural Geology, 17(1), 1995, pp 95–114
journal, July 1995
- ,
- International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 32, Issue 5, p. A215
Works referencing / citing this record:
Some considerations on the use of numerical methods to simulate past landslides and possible new failures: the case of the recent Xinmo landslide (Sichuan, China)
journal, February 2018
- Scaringi, Gianvito; Fan, Xuanmei; Xu, Qiang
- Landslides, Vol. 15, Issue 7
Multiscale modeling and analysis of compaction bands in high-porosity sandstones
journal, May 2017
- Wu, Huanran; Guo, Ning; Zhao, Jidong
- Acta Geotechnica, Vol. 13, Issue 3