Conditions for Compaction Band Formation in Porous Rock Using a Two-Yield Surface Model
Publication: Journal of Engineering Mechanics
Volume 130, Issue 9
Abstract
Compaction bands, a form of localized deformation found in field and laboratory specimens of high porosity rock, consist of planar zones of pure compressional deformation that form perpendicular to maximum compression. Experimentalists report compaction bands and/or shear bands (angled to maximum compression) in high porosity sandstone during a transitional loading regime with multiple active deformation mechanisms. Conditions for localized deformation are determined using a two-yield surface constitutive model and bifurcation theory. The shear yield surface corresponds to a dilatant, frictional mechanism while the cap corresponds to a compactant mechanism. Unlike a single yield surface model, the two-yield surface model predicts both experimentally observed band types for reported values of key material parameters. Observed and predicted shear band angles generally agree. Theory suggests that shear band formation may coincide with activation of the shear yield surface by a previously active cap. If the bulk hardening modulus, equals zero (corresponding to localization on the peak or plateau of the mean stress–volume strain curve) compaction band conditions are more favorable than for small positive values of
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References
Aydin, A., and Johnson, P. A.(1983). “Analysis of faulting in porous sandstones.” J. Struct. Geol., 5(1), 19–31.
Baud, P., Klein, E., and Wong, T.-f.(2004). “Compaction localization in porous sandstones: Spatial evolution of damage and acoustic emission activity.” J. Struct. Geol., 26, 603–624.
Bésuelle, P.(2001). “Compacting and dilating shear bands in porous rock: Theoretical and experimental conditions.” J. Geophys. Res., [Solid Earth], 106(7), 13435–13442.
DiGiovanni, A. A., Fredrich, J. T., Holcomb, D. J., and Olsson, W. A. (2000). “Micromechanics of compaction in an analogue reservoir sandstone.” Proc., 4th North American Rock Mechanics Symp., J. Girard, M. Liebman, C. Breeds, T. Doe, AA, eds., Balkema, Rotterdam, The Netherlands, 1153–1158.
Du Bernard, X., Eichhubl, P., and Aydin, A.(2002). “Dilation bands: A new form of localized failure in granular media.” Geophys. Res. Lett., 29(24), Art. No. 2176.
Haimson, B. C.(2001). “Fracture-like borehole breakouts in high porosity sandstone: Are they caused by compaction bands?” Phys. Chem. Earth, 26(1–2), 15–20.
Haimson, B. C., and Song, I.(1998). “Borehole breakouts in Berea sandstone: Two porosity-dependent distinct shapes and mechanisms of formation.” Rock Mech. Pet. Eng., 1, 229–238.
Holcomb, D. J., and Olsson, W. A.(2003). “Compaction localization and fluid flow.” J. Geophys. Res. [Solid Earth], 108(6), Art. No. 2290.
Issen, K. A.(2002). “The influence of constitutive models on localization conditions for porous rock.” Eng. Fract. Mech., 69, 1891–1906.
Issen, K. A., and Rudnicki, J. W.(2000). “Conditions for compaction bands in porous rock.” J. Geophys. Res., [Solid Earth], 105(9), 21529–21536.
Issen, K. A., and Rudnicki, J. W.(2001). “Theory of compaction bands in porous rock.” Phys. Chem. Earth, 26(1–2), 95–100.
Klein, E., Baud, P., Reuschlé, T., and Wong, T.-f.(2001). “Mechanical behavior and failure mode of Bentheim sandstone under triaxial compression.” Phys. Chem. Earth, 26(1–2), 21–25.
Koiter, W. T. (1960). “General theorems for elastic-plastic solids.” Progress in solid mechanics, I. N. Sneddon and R. Hill, eds., North-Holland, Amsterdam, 165–221.
Mair, K., Main, I. G., and Elphick, S. C.(2000). “Sequential growth of deformation bands in the laboratory.” J. Struct. Geol., 22, 25–42.
Menéndez, B., Zhu, B. W., and Wong, T.-f.(1996). “Micro mechanics of brittle faulting and cataclastic flow in Berea sandstone.” J. Struct. Geol., 18(1), 1–16.
Mollema, P. N., and Antonellini, M. A.(1996). “Compaction bands: A structural analog for anti-mode I cracks in Aeolian sandstone.” Tectonophysics, 267, 209–228.
Olsson, W. A. (1999). “Theoretical and experimental investigation of compaction bands.” J. Geophys. Res. [Solid Earth], 104(4), 7219–7228.
Olsson, W. A., and Holcomb, D. J.(2000). “Compaction localization in porous rock.” Geophys. Res. Lett., 27(21), 3537–3540.
Ottosen, N. S., and Runesson, K.(1991). “Properties of discontinuous bifurcation solutions in elasto-plasticity.” Int. J. Solids Struct., 27(4), 401–421.
Perrin, G., and Leblond, L. B.(1993). “Rudnicki and Rice’s analysis of strain localization revisited.” J. Appl. Mech., 60, 842–846.
Rudnicki, J. W., and Rice, J. R.(1975). “Conditions for the localization of deformation in pressure-sensitive dilatant materials.” J. Mech. Phys. Solids, 23, 371–394.
Wong, T.-f., Baud, P., and Klein, E.(2001). “Localized failure modes in compactant porous rock.” Geophys. Res. Lett., 28(13), 2521–2524.
Wong, T.-f., David, C., and Zhu, W.(1997). “The transition from brittle faulting to cataclastic flow in porous sandstones: Mechanical deformation.” J. Geophys. Res., [Solid Earth], 102(2), 3009–3025.
Wong, T.-f., Szeto, H., and Zhang, J.(1992). “Effect of loading path and porosity on the failure mode of porous rocks.” Appl. Mech. Rev., 45(8), 281–293.
Zhang, J., Wong, T.-f., and Davis, D. M.(1990). “Micromechanics of pressure-induced grain crushing in porous rock.” J. Geophys. Res., [Solid Earth], 95(1), 341–352.
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Published In
Journal of Engineering Mechanics
Volume 130 • Issue 9 • September 2004
Pages: 1089 - 1097
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Mar 20, 2003
Accepted: Nov 7, 2003
Published online: Aug 16, 2004
Published in print: Sep 2004
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