skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Mechanism of formation of wiggly compaction bands in porous sandstone: 2. Numerical simulation using discrete element method

Journal Article · · Journal of Geophysical Research. Solid Earth
DOI:https://doi.org/10.1002/2015JB012374· OSTI ID:1469105
 [1];  [2];  [3];  [4]
  1. 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
  2. Stanford Univ., CA (United States). Dept. of Geological and Environmental Sciences
  3. Nanjing Univ. (China). Suzhou High-Tech Inst. and School of Earth Sciences and Engineering
  4. Nanjing Univ. (China). School of Earth Sciences and Engineering

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.

Research Organization:
Stanford Univ., CA (United States)
Sponsoring Organization:
USDOE; National Natural Science Foundation of China (NSFC)
Grant/Contract Number:
FG02-04ER15588; 41230636; 41302216; BK20130377
OSTI ID:
1469105
Alternate ID(s):
OSTI ID: 1402378
Journal Information:
Journal of Geophysical Research. Solid Earth, Vol. 120, Issue 12; ISSN 2169-9313
Publisher:
American Geophysical UnionCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

References (52)

Simulation of the Micro-physics of Rocks Using LSMearth journal August 2002
Effect of grain size distribution on the development of compaction localization in porous sandstone: GRAIN SIZE EFFECT ON STRAIN LOCALIZATION journal November 2012
Distinct element modeling of deformation bands in sandstone journal August 1995
A bonded-particle model for rock journal December 2004
Permeability effects of deformation band arrays in sandstone journal September 2004
The brittle-ductile transition in porous rock: A review journal November 2012
The propagation of compaction bands in porous rocks based on breakage mechanics: PROPAGATION OF COMPACTION BANDS journal May 2013
Compaction localization in porous sandstones: spatial evolution of damage and acoustic emission activity journal April 2004
Anticrack model for pressure solution surfaces journal January 1981
Shear and compaction band formation on an elliptic yield cap journal January 2004
Discrete element modelling of contractional fault-propagation folding above rigid basement fault blocks journal April 2003
Conditions for compaction bands in porous rock journal September 2000
Origin of compaction bands: Anti-cracking or constitutive instability? journal March 2011
Compaction bands due to grain crushing in porous rocks: A theoretical approach based on breakage mechanics journal January 2011
A discrete element model to describe failure of strong rock in uniaxial compression journal November 2010
Discrete element modeling of the faulting in the sedimentary cover above an active salt diapir journal September 2009
A Lattice Solid Model for the Nonlinear Dynamics of Earthquakes journal December 1993
Pure and shear-enhanced compaction bands in Aztec Sandstone journal December 2010
Numerical model of crushing of grains inside two-dimensional granular materials journal November 1999
Localized failure modes in a compactant porous rock journal July 2001
Porosity and grain size controls on compaction band formation in Jurassic Navajo Sandstone: CONTROLS ON COMPACTION BANDS journal November 2010
Discrete element modelling of the influence of cover strength on basement-involved fault-propagation folding journal March 2006
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
Mechanical behaviour and failure mode of bentheim sandstone under triaxial compression journal January 2001
Simulation of drilling-induced compaction bands using discrete element method: NUMERICAL SIMULATION OF COMPACTION BANDS USING DISCRETE ELEMENT METHOD
  • Rahmati, H.; Nouri, A.; Chan, D.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 38, Issue 1 https://doi.org/10.1002/nag.2194
journal May 2013
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
A discrete element model for the development of compaction localization in granular rock journal January 2008
The formation of tabular compaction-band arrays: Theoretical and numerical analysis journal May 2009
Simulation of sedimentary rock deformation: Lab-scale model calibration and parameterization journal January 2002
Micromechanics of pressure-induced grain crushing in porous rocks journal January 1990
Simulation of the frictional stick-slip instability journal January 1994
Micromechanical modeling of cracking and failure in brittle rocks journal July 2000
Numerical simulation of compaction bands in high-porosity sedimentary rock journal January 2005
Conditions and implications for compaction band formation in the Navajo Sandstone, Utah journal October 2011
Theory of compaction bands in porous rock journal January 2001
Compaction bands simulated in Discrete Element Models journal May 2009
A distinct element method numerical investigation of compaction processes in highly porous cemented granular materials: A DEM NUMERICAL INVESTIGATION OF COMPACTION PROCESSES
  • Dattola, G.; di Prisco, C.; Redaelli, I.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 38, Issue 11 https://doi.org/10.1002/nag.2241
journal January 2014
Geological and mathematical framework for failure modes in granular rock journal January 2006
Eshelby's solution for ellipsoidal inhomogeneous inclusions with applications to compaction bands journal October 2014
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
The role of microcracking in shear-fracture propagation in granite journal January 1995
Distinct element analysis of bulk crushing: effect of particle properties and loading rate journal April 2000
Compaction bands: a structural analog for anti-mode I cracks in aeolian sandstone journal December 1996
Anticrack inclusion model for compaction bands in sandstone: ANTICRACK BANDS journal November 2005
Compression-induced microcrack growth in brittle solids: Axial splitting and shear failure journal January 1985
Evolution of compactive shear deformation bands: Numerical models and geological data journal March 2012
Mechanism of formation of wiggly compaction bands in porous sandstone: 1. Observations and conceptual model journal December 2015
Theoretical and experimental investigation of compaction bands in porous rock journal April 1999
A discrete numerical model for granular assemblies journal March 1979
Models for compaction band propagation journal January 2007
Simulation of the Micro-physics of Rocks Using LSMearth book January 2002
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

Cited By (2)