Coupling between anisotropic damage and permeability variation in brittle rocks

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 29, Issue 12, 2005, Pages 1231-1247

  Shao, Jian Fu ^a,b   Zhou, H ^b   Chau, K T ^c  

^a CNRS   (France)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^c HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Brittle rocks; Damage models; Granite; Induced anisotropy; Microcracks; Permeability change

Indexed keywords

ANISOTROPY; BRITTLENESS; COMPRESSIVE STRESS; CRACK PROPAGATION; ENTHALPY; FRACTURE MECHANICS; GRANITE; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; MICROCRACKS; ROCKS; SOLIDS;

ANISOTROPIC DAMAGE; BRITTLE ROCKS; CRACK DISTRIBUTION; DAMAGE MODELS; INDUCED ANISOTROPY; PERMEABILITY CHANGE; VOLUMETRIC DILATANCY;

ROCK MECHANICS;

ANISOTROPY; BRITTLE DEFORMATION; CRACK PROPAGATION; GRANITE; MICROCRACK; PERMEABILITY;

EID: 26444552414     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.457     Document Type: Article

References (42)

1. Bieniawski ZT. Mechanism of brittle fracture of rock. International Journal of Rock Mechanics and Mining Sciences 1967; 4(4):403-407.
2. Wawersik WR, Brace WF. Post-failure behavior of a granite and diabase. Rock Mechanics 1971: 3:61-85.
3. Paterson S. Experimental Deformation of Rocks: The Brittle Field. Springer: Berlin, 1978.
4. Nemat-Nasser S, Horii H. Compression-induced non-planar crack extension with application to splitting, exfoliation and rock-burst. Journal of Geophysical Research 1982; 87(B8):6805-6821.
5. Wong TF. Micromechanics of faulting in Westerly granite. International Journal of Rock Mechanics and Mining Sciences 1982; 19:49-62.
6. Stef PS. Crack extension under compressive loading. Engineering Fracture Mechanics 1984; 20(3):463-473.
7. Olsson W. Development of anisotropy in the incremental shear moduli for rock undergoing inelastic deformation. Mechanics of Materials 1995; 21:231-242.
8. Fredrich JT, Evans B, Wong TF. Micromechanics of the brittle to plastic transition in Carrara marbe. Journal of Geophysical Research 1989; 94:4129-4145.
9. Horii H, Nemat-Nasser S. Compression-induced microcrack growth in brittle solids: axial splitting and shear failure. Journal of Geophysical Research 1985; 90(B4):3105-3125.
10. Horii H, Nemat-Nasser S. Brittle failure in compression: splitting, faulting and brittle-ductile translation. Philosophical Transactions of the Royal Society of London 1986; A319:337-374.
11. Lemaitre J. A Course on Damage Mechanics (2nd edn). Springer: Berlin, 1992.
12. Hayakawa K, Murakami S. Thermodynamical modeling of elastic-plastic damage and experimental validation of damage potential. International Journal of Damage Mechanics 1997; 6:333-363.
13. Halm D, Dragon A. An anisotropic model of damage and frictional sliding for brittle materials. European Journal of Mechanics - A/Solids 1998; 17(3):439-460.
14. Swoboda G, Yang G. An energy based damage model of geomaterials - I. Formulation and numerical results. International Journal of Solids and Structures 1999; 36:1719-1734.
15. Swoboda G, Yang G. An energy based damage model of geomaterials - II. Deduction of damage evolution laws. International Journal of Solids and Structures 1999; 36:1735-1755.
16. Oda M. Permeability tensor for discontinuous rock masses. Géotecnique 1985; 35(4):483-495.
17. Lee CH, Deng BW, Chang JL. A continuum approach for estimating permeability for naturally fractured rocks. Engineering Geology 1995; 39:71-85.
18. Zhang X, Sanderson DJ, Harkness RM, Last NC. Evaluation of the 2-D permeability tensor for fractured rock masses. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 1996; 33(1):17-37.
19. Suzuki K, Oda M, Yamazaki M, Kuwahara T. Permeability changes in granite with crack growth during immersion in hot water. International Journal of Rock Mechanics and Mining Sciences 1998; 35(7):907-921.
20. Chen Z, Narayan SP, Yang Z, Rahman SS. An experimental investigation of hydraulic behaviours of fractures and joints in granitic rock. International Journal of Rock Mechanics and Mining Sciences 2000; 37:1061-1071.
21. Doolin DM, Mauldon M. Fracture permeability normal to bedding in layered rock masses. International Journal of Rock Mechanics and Mining Sciences 2001; 38:199-210.
22. Schulze O, Popp T, Kern H. Development of damage and permeability in deforming rock salt. Engineering Geology 2001; 61:163-180.
23. Oda M, Takemura T, Aoki T. Damage growth and permeability change in triaxial compression tests of Inada granite. Mechanics of Materials 2002; 34:313-331.
24. Berkowitz B. Characterizing flow and transport in fractured geological media: a review. Advances in Water Resources 2002; 25:861-884.
25. Wang JA, Park HD. Fluid permeability of sedimentary rocks in a complete stress-strain process. Engineering Geology 2002; 63:291-300.
26. Bossart P, Meier PM, Moeri A, Trick T, Mayor JC. Geological and hydraulic characterisation of the excavation disturbed zone in the opalinus clay of the Mont Terri Rock Laboratory. Engineering Geology 2002; 66:19-38.
27. Souley M, Homand F, Pepa S, Hoxha D. Damage-induced permeability changes in granite: a case example at the URL in Canada. International Journal of Rock Mechanics and Mining Sciences 2001; 38:297-310.
28. Thompson M, Willis JR. A reformulation of the equations for anisotropic poroelasticity. Journal of Applied Mechanics (ASME) 1991; 58:612-616.
29. Shao JF, Lu YF, Lydzba D. Damage modeling of saturated rocks in drained and undrained conditions. Journal of Engineering Mechanics (ASCE) 2004; 130(6):733-740.
30. Kachanov M. Elastic solids with many cracks and related problems. In Advances in Applied Mechanics, vol. 30, Hutchinson J, Wu T (eds). Academic Press: New York, 1993; 259-445.
31. Nemat-Nasser S, Hori M. Micromechanics: Overall Properties of Heterogeneous Materials. North-Holland: Amsterdam, 1993.
32. Pensee V, Kondo D, Dormieux L. Micromechanical analysis of anisotropic damage in brittle materials. Journal of Engineering Mechanics (ASCE) 2002; 128(8):889-897.
33. Ju JW. On energy based coupled elastoplastic damage theories: constitutive modeling and computational aspects. International Journal of Solids and Structures 1989; 25(7):803-833.
34. Kachanov M. Effective elastic properties of cracked solid: critical review of some basic concepts. Applied Mechanics Reviews (ASME) 1992; 45(8):304-335.
35. Lubarda VA, Krajcinovic D. Damage tensors and the crack density distribution. International Journal of Solids and Structures 1993; 30(20):2859-2877.
36. Yang Q, Zhongkui L, Tham LG. An explicit expression of the second-order fabric dependent elastic compliance tensor. Mechanics Research Communication 2001; 28(3):255-260.
37. Costin LS. Damage mechanics in the post failure regime. Mechanics of Materials 1985; 4:149-160.
38. Simo JC, Hughes TJR. Computational Inelasticity. Springer: New York, 1998.
39. Shao JF, Hoxha D, Bart M, Homand F, Duveau G, Souley M, Hoteit N. Modelling of induced anisotropic damage in granite. International Journal of Rock Mechanics and Mining Sciences 1999; 36(8):1001-1012.
40. Snow DT. Anisotropic permeability of fractured media. Water Resources Researches 1969; 5(6):1273-1289.
41. Dormieux L, Kondo D. Approache micromécanique du couplage perméabilité-endommagement. Comptes Rendus Mécanique 2004; 332:135-140.
42. Bazant ZP, Oh BH. Efficient numerical integration on the surface of a sphere. Zeitschrift fur Angewandte Mathematik und Mechanik 1986; 66(1):37-49.