A multiscale DEM-LBM analysis on permeability evolutions inside a dilatant shear band
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This paper presents a multiscale analysis of a dilatant shear band using a three-dimensional discrete element method and a lattice Boltzmann/finite element hybrid scheme. In particular, three-dimensional simple shear tests are conducted via the discrete element method. A spatial homogenization is performed to recover the macroscopic stress from the micro-mechanical force chains. The pore geometries of the shear band and host matrix are quantitatively evaluated through morphology analyses and lattice Boltzmann/finite element flow simulations. Results from the discrete element simulations imply that grain sliding and rotation occur predominately with the shear band. These granular motions lead to dilation of pore space inside the shear band and increases in local permeability. While considerable anisotropy in the contact fabric is observed with the shear band, anisotropy of the permeability is, at most, modest in the assemblies composed of spherical grains.
KeywordsDiscrete element method Homogenization Lattice Boltzmann method Micromechanics of granular materials Microstructure Strain localization
The authors gratefully acknowledge the support provided by the Geosciences Research Program of the U. S. Department of Energy under Grant No. DE-FG02-08ER15980 to Northwestern University. We also thank Professor Teng-fong Wong for fruitful discussion. We thank Professor Ronaldo I Borja and the anonymous reviewer for helpful suggestions that improved the paper.
Sandia National Laboratories is a multiprogram laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-AC04-94AL85000.
- 3.Aydin A, Borja RI, Eichhubl P (2005) Geological and mathematical framework for failure modes in granular rock. J Struct Geol 29:1831–1842Google Scholar
- 5.Bésuelle P, Rudnicki JW (2004) Localization: shear bands and compaction bands. International Geophysics Series, vol 89, pp 219–321Google Scholar
- 9.Casagrande A (1936) Characteristics of cohensionless soils affecting the stability of slops and earth fills. J Boston Soc Civil Eng 23:13–32Google Scholar
- 10.Chen C, Packman AI, Gaillard JF (2008) Using X-ray micro-tomography and pore-scale modeling to quantify sediment mixing and fluid flow in a developing streambed. Geophys Res Lett 35(14)Google Scholar
- 12.Cundall PA (1988) Computer simulations of dense sphere assemblies. In: M Satake, JT Jenkins (eds) Micromechanics of granular materials, Elsevier Science Pub. B.V., Amsterdam, pp 113–123Google Scholar
- 17.Hilfer R, Manwart C (2001) Permeability and conductivity for reconstruction models of porous media. Phys Rev E 64Google Scholar
- 21.Johnson KL (1985) Contact mechanics, Cambridge University Press, CambridgeGoogle Scholar
- 23.Kuhn MR (2005) Scaling in granular materials. In: García-Rojo R, Herrmann HJ, McNamara S (eds) Powders and grains 2005. A.A. Balkema, Leiden, pp 115–122Google Scholar
- 26.Legland D, Kiêu K, Devaux M-F (2011) Computation of Minkowski measures on 2d and 3d binary images. Image Anal Stereol 26(2):1854–5165Google Scholar
- 27.Lenoir N, Andrade JE, Sun WC, Rudnicki JW (2010) Permeability measurements in sandstones using x-ray ct and lattice Boltzmann calculations inside and outside of compaction bands. Adv Comput Tomogr Geomater. GEOX2010, ISTE & Wiley, pp 279–286Google Scholar
- 30.Mitchell JK, Soga K (2005) Fundamentals of soil behavior, 3rd edn. Wiley, New JerseyGoogle Scholar
- 35.Satake M (1982) Fabric tensor in granular materials. In Vermeer PA, and Luger HJ (eds) Proceedings of IUTAM symposium on deformation and failure of granular materials. A.A. Balkema, Rotterdam, pp 63–68Google Scholar
- 43.Thornton C, Randall CW (1988) Applications of theoretical contact mechanics to solid particle system simulation. In Satake M, Jenkins JT (eds) Micromechanics of granular materials, Elsevier Science Pub. B.V., Amsterdam, pp 133–142Google Scholar