Acta Geotechnica

, Volume 1, Issue 2, pp 123–135 | Cite as

Compaction bands and induced permeability reduction in Tuffeau de Maastricht calcarenite

  • Theocharis Baxevanis
  • Euripides Papamichos
  • Olav Flornes
  • Idar Larsen
Research Paper


The mechanical behavior and permeability of the Tuffeau de Maastricht calcarenite were studied. Compactions bands were found to form in the “transitional” regime between brittle faulting and cataclastic flow. In order to predict the formation of compaction bands, bifurcation analysis was applied on a model developed by Lade and Kim. The numerical results proved to be in good agreement with the experimental ones where the localization point was identified to be the onset of shear-enhanced compaction (a threshold in differential stress after which significant reduction of porosity is induced). Before the onset of shear-enhanced compaction, permeability was primarily controlled by the effective mean stress, independent of the deviatoric stresses. With the onset of shear-enhanced compaction, however, coupling of the deviatoric and hydrostatic stresses induced considerable permeability and porosity reduction.


Compaction bands Bifurcation Permeability Tuffeau rock Brittle faulting Cataclastic flow Shear-enhanced compaction 


  1. 1.
    Baud P, Klein E, Wong T-f (2004) Compaction localization in porous sandstones: spatial evolution of damage and acoustic emission activity. J Struct Geol 26:603–624CrossRefGoogle Scholar
  2. 2.
    Borja RI (2002) Bifurcation of elastoplastic solids to shear band mode at finite strain. Comput Methods Mech Engrg 191:5287–5314MATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Borja RI (2004) Computational modeling of deformation bands in granular media. II. Numerical simulations. Comput Methods Mech Engrg 193:2699–2718MATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    Borja RI, Aydin A (2004) Computational modeling of deformation bands in granular media. I. Geological and Mathematical framework. Comput Methods Mech Engrg 193:2667–2698MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Haimson BC (2003) Borehole breakouts in Berea Sandstone reveal a new fracture mechanism. Pure Appl Geophys 160:813–831CrossRefGoogle Scholar
  6. 6.
    Haimson BC, Lee H (2004) Borehole breakouts and compaction bands in two high-porosity sandstones. Int J Rock Mech Min Sci 41:287–301CrossRefGoogle Scholar
  7. 7.
    Haimson BC, Song I (1998) Borehole breakouts in Berea sandstone: two porosity-dependent distinct shapes and mechanisms of formation. SPE/ISRM, 229–238Google Scholar
  8. 8.
    Holcomb D, Olsson W (2003) Compaction localization and fluid flow. J Geophys Res 108(B6):2290–2303. DOI:10.1029/2001JB000813Google Scholar
  9. 9.
    Holt RM (1989) Permeability reduction induced by a nonhydrostatic stress field. In: paper SPE19595 presented at 64th annual technical conference, Soc. Of Petr. Eng., San Antonio, TXGoogle Scholar
  10. 10.
    Issen KA (2002) The influence of constitutive models on localization conditions for porous rock. Eng Fract Mech 69:1891–1906CrossRefGoogle Scholar
  11. 11.
    Issen KA, Rudnicki JW (2000) Conditions for compaction bands in porous rocks. J Geophysical Res 105:21529–21536CrossRefGoogle Scholar
  12. 12.
    Issen KA, Rudnicki JW (2001) Theory of compaction bands in porous rock. Phys Chem Earth (A) 26:95–100CrossRefGoogle Scholar
  13. 13.
    Kim MK, Lade PV (1984) Modeling rock strength in three dimensions. Int J Rock Mech Min Sci Geomech Abstr 21(1):21–33MATHCrossRefGoogle Scholar
  14. 14.
    Kim MK, Lade PV (1988) Single hardening constitutive model for frictional materials. I. Plastic potential function. Comput Geotech 5:307–324CrossRefGoogle Scholar
  15. 15.
    Kim MK, Lade PV (1988) Single hardening constitutive model for frictional materials. II. Yield criterion and plastic work contours. Comput Geotech 6:13–29CrossRefGoogle Scholar
  16. 16.
    Klein E, Baud P, Reuschle T, Wong T-f (2001) Mechanical behavior and failure mode of Bentheim sandstone under triaxial compression. Phys Chem Earth (A) 26:21–25CrossRefGoogle Scholar
  17. 17.
    Lade PV, Kim MK (1988) Single hardening constitutive model for frictional materials. III. Comparisons with experimental data. Comput Geotech 6:31–47CrossRefGoogle Scholar
  18. 18.
    Lajtai EZ (1974) Brittle fracture in compression. Int J Fract 10:525–536CrossRefGoogle Scholar
  19. 19.
    Molemma PN, Antonellini MA (1996) Compaction bands: a structural analog for anti-mode I cracks in Aeolian sandstone. Tectonophysics 267:209–228CrossRefGoogle Scholar
  20. 20.
    Olsson WA (1999) Theoretical and experimental investigation of compaction bands. J Geophys Res 104:7219–7228CrossRefGoogle Scholar
  21. 21.
    Olsson WA, DJ Holcomb (2000) Compaction localization in porous rock. Geophys Res Lett 27:3537–3540CrossRefGoogle Scholar
  22. 22.
    Papka SD, Kyriakides S (1998) In plane crushing of a polycarbonate honeycombs. Int J Solids Struct 35:239–267MATHCrossRefGoogle Scholar
  23. 23.
    Park C, Nutt SR (2001) Anisotropy and strain localization in steel foam. Mat Sci Eng A299:69–74Google Scholar
  24. 24.
    Rhett DV, Teufel LW (1992) Stress path dependence of matrix permeability of north Sea sandstone reservoir rock. Proc US Rock Mech Symp 33:345–354Google Scholar
  25. 25.
    Rudnicki JW, Rice LR (1975) Conditions for the localization of deformation in pressure-sensitive dilatant materials. J Mech Phys Solids 23:371–94CrossRefGoogle Scholar
  26. 26.
    Somerton WH, Solemnization IM, Duddy RC (1975) Effect of stress on permeability of coal. Int J Rock Mech Min Sci 12:129–145CrossRefGoogle Scholar
  27. 27.
    Sternlof K, Pollard DD (2001) Deformation bands as linear elastic fractures: progress in theory and observation. Eos Trans Am Geophys Union 82(47):F1222Google Scholar
  28. 28.
    Sternlof KR, Rudnicki JW, Pollard DD (2005) Anticrack-inclusion model for compaction bands in sandstone. Journal of Geophysical Research 110:B11403, doi:10.11029/12005JB003764Google Scholar
  29. 29.
    Vajdova V, Baud P, Wong T (2004) Compaction, dilatancy, and failure in porous carbonate rocks. J Geophys Res 109:1029. DOI:10.1029/2003JB002508.Google Scholar
  30. 30.
    Wong T-f, Baud P, Clein E (2001) Localized failure modes in a compactant porous rock. Geophys Res Lett 28:2521–2524CrossRefGoogle Scholar
  31. 31.
    Zhu W, Wong T-f (1996) Permeability reduction in a dilating rock: Network modeling of damage and tortuosity. Geophys Res Lett 23:3099–3102CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • Theocharis Baxevanis
    • 1
  • Euripides Papamichos
    • 2
  • Olav Flornes
    • 3
  • Idar Larsen
    • 3
  1. 1.Department of Applied MathematicsUniversity of CreteHeraklionGreece
  2. 2.Civil Engineering DepartmentAristotle UniversityThessalonikiGreece
  3. 3.SINTEF Petroleum ResearchTrondheimNorway

Personalised recommendations