Coupled deformation-diffusion effects in the mechanics of faulting and failure of geomaterials

Applied Mechanics Reviews

Volumn 54, Issue 6, 2001, Pages 483-502

  Rudnicki, J W ^a  

^a Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13344250495     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1410935     Document Type: Article

References (120)

1. [1] Kerr RA (1993), Looking-deeply-into the Earth’s crust in Europe, Science 261, 295-297.
2. Kerr RA (1994), German super-deep hole hits bottom, Science 266, 545.
3. Kennedy BM, Kharaka YK, Evans WC, Ellwood A, DePaolo DJ, Thordsen J, Ambats G, and Mariner RH (1997), Mantle fluids in the San Andreas Fault system, California, Science 278, 1278-1281.
4. Rudnicki JW (2000), Geomechanics, Int. J. Solids Struct. 37, 349-358.
5. Roeloffs EA (1988), Hydrologic precursors to earthquakes: A review, Pure Appl. Geophys. 126, 177-209.
6. Roeloffs EA (1996), Poroelastic methods in the study of earthquake-related phenomena, in Advances in Geophysics, Dmowska R (ed), Academic Press, San Diego CA 37, 135-195.
7. Hickman SR, Sibson R, and Bruhn R (1995), Introduction to special section: Mechanical involvement of fluids in faulting, J. Geophys. Res. 100, 12,831-12,840.
8. Ingebritsen SE and Rojstaczer SA (1993), Controls on geyser periodicity, Science 262, 889-892.
9. Johnson CE (1979), I. CEDAR—An approach to the computer automation of short-period local seismic networks: II Seismotectonics of the Imperial Valley of sourthern California, PhD Thesis, California Inst of Tech, Pasadena CA.
10. Elsworth D and Voight B (1992), Theory of dike intrusion in a saturated porous solid, J. Geophys. Res. 97, 9105-9117.
11. Elsworth D, Voight B, Ouyang Z, and Piggott AR (1996), Poroelastic response resulting from magma intrusion, in Mechanics of Poroelas-tic Media, APS Selvadurai (ed), Kluwer Academic Publ, Netherlands, 215-233.
12. Blakeslee S (1992), Quake theory attacks prevailing wisdom on how faults slide, New York Times, April 14, pp. B5-B8.
13. Kerr RA (1992), Weak faults: Breaking out all over, Science 255, 1210-1212.
14. Zhao D, Kanamori H, Negishi H, and Wiens D (1996), Tomography of the source area of the 1995 Kobe earthquake: Evidence for fluids at the hypocenter?, Science 274, 1891-1894.
15. Peltzer G, Rosen P, Rogez F, and Hudnut K (1996), Postseismic rebound in fault step-overs caused by pore fluid flow, Science 273, 1202-1204.
16. King C-Y, Koizumi N, and Kitagawa Y (1995), Hydrochemical anomalies and the 1995 Kobe earthquake, Science 269, 38-39.
17. 2: An assessment of research needs, in Advances in Geophysics, Dmowska R (ed), 43, 97-177.
18. Biot MA (1941), General theory of three dimensional consolidation, J. Appl. Phys. 12, 155-164.
19. Detournay E and AH-D Cheng (1991), Fundamentals of poroelastic-ity, in Comprehensive Rock Engineering: Principles, Practice &Projects, Hudson JA (ed), Pergamon New York, Vol 2, Ch 5, 113-171.
20. Coussy O (1995), Mechanics of Porous Continua, New York: Wiley.
21. Wang HF (2000), Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrology, Princeton Univ Press, 276 pp.
22. Rice JR and Cleary MP (1976), Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents, Rev. Geophys. Space Phys. 14, 227-241.
23. Coussy O, Dormieux L, and Detournay E (1998), From mixture theory to Biot’s approach for porous media, Int. J. Solids Struct. 35, 4619-4635.
24. Biot MA (1973), Nonlinear and semilinear rheology of porous solids, J. Geophys. Res. 78, 4924 -4937.
25. Rice JR (1975), On the stability of dilatant hardening for saturated rock masses, J. Geophys. Res. 80, 1531-1536.
26. Nur A and Byerlee JD (1971), An exact effective stress law for elastic deformation of rock with fluids, J. Geophys. Res. 76, 6414-6419.
27. Cornet FH and Fairhurst C (1974), Influence of pore pressure on the deformation behavior of saturated rocks, in Proc of 3rd Congress of the Int Soc for Rock Mechanics, Vol 1, Part B, 638-644, National Academy of Sciences, Washington DC.
28. Biot MA and Willis DG (1957), The elastic coefficients of the theory of consolidation, ASME J. Appl. Mech. 24, 594-601.
29. Geertsma J (1966), Problems of rock mechanics in petroleum engineering, in Proc of 1st Congress Int Soc of Rock Mechanics, Lisbon: Labatorio Nacional de Engenharia Civil, National Laboratory of Civil Engineering, Lisbon, 585-594.
30. Geertsma J (1973), Land subsidence above compacting oil and gas reservoirs, J. Pet. Technol. 25, 734-744.
31. Segall P (1989), Earthquakes triggered by fluid extraction, Geology 17, 942-946.
32. Segall P (1992), Induced stresses due to fluid extraction from axisym-metric reservoirs, Pure Appl. Geophys. 139, 535-560.
33. Segall P, Grasso JR, and Mossop A (1994), Poroelastic stressing and induced seismicity near the Lacq gas field, southwestern France, J. Geophys. Res. 99, 15,423-15,438.
34. Rice JR (1980), Pore fluid processes in the mechanics of earthquake rupture, in Solid Earth Geophysics and Geotechnology, Nemat-Nasser S (ed), ASME Applied Mechanics Vol. 37, 81-89.
35. Rudnicki JW (1986), Fluid mass sources and point forces in linear elastic diffusive solids, Mech. Mater. 5, 383-393.
36. Rudnicki JW (1996), Moving and stationary dislocations in poroelas-tic solids and applications to aseismic slip in the Earth’s crust, in Mechanics of Poroelastic Media, Selvadurai APS (ed), Kluwer Academic Publ, Netherlands, 3-22.
37. Cleary MP (1977), Fundamental solutions for a fluid-saturated porous solid, Int. J. Solids Struct. 13, 785-808.
38. Segall P (1985), Stress and subsidence resulting from subsurface fluid withdrawal in the epicentral region of the 1983 Coalinga earthquake, J. Geophys. Res. 90, 6801-6816.
39. Roeloffs E (1982), Elasticity of saturated porous rocks: Laboratory measurements and a crack problem, PhD thesis, Univ of Wisconsin, Madison, WI.
40. Fatt I (1958), The compressibility of sandstones at low to moderate pressures, Bull. Am Assoc. Pet. Geol. 42, 1924-1957.
41. Fatt I (1959), The Biot-Willis coefficients for a sandstone, ASME J. Appl. Mech. 26, 296-297.
42. Mann KL and Fatt I (1960), Effects of pore fluids on the elastic properties of sandstone, Geophysics 25, 433-444.
43. Roeloffs EA and Rudnicki JW (1984/1985), Coupled deformationdiffusion effects on water-level changes due to propagating creep waves, Pure Appl. Geophys. 122, 560-582.
44. Roeloffs EA (1988), Fault stability changes induced beneath a reservoir with cyclic variations in water level, J. Geophys. Res. 93, 2107-2124.
45. Mesri G, Adachi K, and Ullrich CR (1976), Pore pressure response in rock to undrained change in all-round stress, Geotechnique 26, 317-330.
46. Green DH and Wang HF (1986), Fluid pressure response to undrained compression in saturated sedimentary rock, Geophysics 51, 948-956.
47. Brace WF (1965), Some new measurements of the linear compressibility of rocks, J. Geophys. Res. 70, 391-398.
48. Rice JR and Rudnicki JW (1979), Earthquake precursory effects due to pore fluid stabilization of a weakening fault zone, J. Geophys. Res. 84, 2177-2193.
49. O’Connell RJ and Budiansky B (1977), Viscoelastic properties of fluid saturated cracked solids, J. Geophys. Res. 82, 5719-5735.
50. Beavan J, Evans K, Mousa S, and Simpson DW (1991), Estimating aquifer parameters from analysis of force fluctuations in well level: an example from the Nubian Formations near Aswan, Egypt 2. Poroelas-tic properties, J. Geophys. Res. 96, 12,139-12,160.
51. O’Connell RJ and Budiansky B (1974), Seismic velocities in dry and saturated cracked solids, J. Geophys. Res. 79, 5412-5426.
52. Anderson DL and Whitcomb JH (1975), Time dependent seismology, J. Geophys. Res. 80, 1497-1503.
53. Rice JR and Simons DA (1976), The stabilization of spreading shear faults by coupled deformation-diffusion effects in fluid-infiltrated porous materials, J. Geophys. Res. 81, 5322-5344.
54. Kovach RL, Nur A, Wesson RL, and Robinson R (1975), Water level fluctuations and earthquakes on the San Andreas fault zone, Geology 3, 437-440.
55. Fletcher JB and Sykes LR (1977), Earthquakes related to hydraulic mining and natural seismic activity in western New York state, J. Geophys. Res. 82, 3767-3780.
56. Li VC (1984/1985), Estimation of in-situ hydraulic diffusivity of rock masses, Pure Appl. Geophys. 122, 546-559.
57. Talwani P and Acree S (1984/1985), Pore pressure diffusion and the mechanism of reservoir induced seismicity, Pure Appl. Geophys. 122, 947-965.
58. Lippincott DK, Bredehoeft JD, and Moyle WR Jr., (1985), Recent movement on the Garlock Faut suggested by water level fluctuations in a well in Fremont Valley, California, J. Geophys. Res. 90, 1911-1924.
59. Rudnicki JW and Hsu T-C (1988), Pore pressure changes induced by slip on permeable and impermeable faults, J. Geophys. Res. 93, 3275-3285.
60. Rudnicki JW, Yin J, and Roeloffs EA (1993), Analysis of water level changes induced by fault creep at Parkfield, California, J. Geophys. Res. 98, 8143-8152.
61. Roeloffs EA, Burford SS, Riley FS, and Records AW (1989), Hydrologic effects on water level changes associated with episodic fault creep near Parkfield, California, J. Geophys. Res. 94, 12,387-12,402.
62. Cleary MP (1978), Moving singularities in elasto-diffusive solids with applications to hydraulic fracture, Int. J. Solids Struct. 14, 8197.
63. Detournay E and Cheng AH-D (1987), Poroelastic solution of a plane strain point displacement discontinuity, ASME J. Appl. Mech. 109, 783-787.
64. Vandamme L, Detournay E, and Cheng AH-D (1989), A twodimensional poroelastic displacement discontinuity method for hydraulic fracture simulation, Int. J. Numer. Analyt. Meth. Geomech. 13, 215-224.
65. Nur A and Booker JR (1972), Aftershocks caused by fluid flow, Science 175, 885-887.
66. Booker JR (1974), Time-dependent strain following faulting of a porous medium, J. Geophys. Res. 79, 2037-2044.
67. Wu FT, Blatter L, and Roberson H (1975), Clay gouges in the San Andreas fault system and their possible implications, Pure Appl. Geo-phys. 113, 87-95.
68. Wang C-Y and Lin W (1978), Constitution of the San Andreas fault zone at depth, Geophys. Res. Lett. 5, 741-744.
69. Rudnicki JW (1986), Slip on an impermeable fault in a fluid-saturated rock mass, in Earthquake Source Mechanics, Das S, Boatwright J, and Scholz CH (eds), Geophys. Monogr. Ser. American Geophysical Union, Washington DC, Vol 37, 81-89.
70. Abramowitz M and Stegun I (eds) (1967), Handbook of Mathematical Functions, National Bureau of Standards, Applied Mathematics Series 55.
71. Rudnicki JW (1987), Plane strain dislocations in linear elastic diffusive solids, ASME J. Appl. Mech. 109, 545-552.
72. Rudnicki JW and Roeloffs EA (1990), Plane-strain shear dislocations moving steadily in linear elastic diffusive solids, ASME J. Appl. Mech. 112, 32-39.
73. Simons DA (1979), The analysis of propagating slip zones in porous elastic media, in Fracture Mechanics, Proc of the Symp in Applied Mathematics ofAMS and SIAM, Burridge R (ed), 153-169.
74. Johnson AG, Kovach RL, and Nur A (1973), Pore pressure changes during creep events on the San Andreas fault, J. Geophys. Res. 78, 851-857.
75. Wesson RL (1981), Interpretation of changes in water level accompanying fault creep and implications for earthquake prediction, J. Geo-phys. Res. 86, 9259-9267.
76. Rudnicki JW and Wu M (1993), Pore pressure changes induced by slip in a poroelastic half-space, in Final Technical Report to US Geological Survey for Award No 1434-92-G-2164.
77. Rice JR (1980), The mechanics of earthquake rupture, in Physics of the Earth's Interior (Proc of Int Sch of Physics, “Enrico Fermi,” Course 78, 1979), Dziewonski AM and Boschi E (eds), 555-649.
78. Rudnicki JW (1979), The stabilization of slip on a narrow weakening fault zone by coupled-deformation pore fluid diffusion, Bull. Seismol. Soc. Am. 69, 1011-1026.
79. Koutsibelas DA (1988), Stabilization of slip in a fluid-infiltrated rock mass, PhD Thesis, Northwestern Univ, Evanston, IL.
80. Tse ST and Rice JR (1986), Crustal earthquake instability in relation to the depth variation of frictional slip properties, J. Geophys. Res. 91, 9452-9472.
81. Rice JR (1968), Mathematical analysis in the mechanics of fracture, in Fracture: An Advanced Treatise 2, Liebowitz H (ed), Academic Press, New York, 191-311.
82. Rudnicki JW and Koutsibelas DA (1991), Steady propagation of plane strain shear cracks on an impermeable plane in an elastic diffusive solid, Int. J. Solids Struct. 27, 205-225.
83. Paterson MS (1978), Experimental Rock Deformation The Brittle Field, Springer-Verlag, New York.
84. Rice JR (1977), Pore pressure effects in inelastic constitutive formations for fissured rock masses, in Advances in Civil Engineering through Engineering Mechanics, ASCE, 360-363.
85. Simons DA (1977), Boundary-layer analysis of propagating Mode II cracks in porous elastic solids, J. Mech. Phys. Solids 25, 99-116.
86. Rudnicki JW (1991), Boundary layer analysis of plane strain shear cracks propagating steadily on an impermeable plane in an elastic diffusive solid, J. Mech. Phys. Solids 39, 201-221.
87. Craster RV and Atkinson C (1992), Shear cracks in thermoelastic and poroelastic media, J. Mech. Phys. Solids 40, 887-924.
88. Craster RV and Atkinson C (1994), Crack problems in a poroelastic material: an asymptotic approach, Philos. Trans. R. Soc. London A346, 387-428.
89. Ruina A (1978), Influence of coupled deformation-diffusion effects on retardation of hydraulic fracture, in Proc of 19th US Symp on Rock Mechanics, Kim YS (ed), University of Nevada-Reno, 274-282.
90. Atkinson C and Craster RV (1991), Plane strain fracture in poroelastic media, Proc. Roy. Soc. A434, 605-633.
91. Craster RV and Atkinson C (1992), Interfacial fracture in diffusive elastic media, Int. J. Solids Struct. 29, 1463-1498.
92. Craster RV and Atkinson C (1996), Theoretical aspects of fracture in porous elastic media, in Mechanics ofPoroelastic Media, Selvadurai APS (ed), Kluwer Academic Publ, Netherlands, 23-45.
93. Eshelby JD (1957), The determination of the elastic field of an ellipsoidal inclusion and related problems, Proc. Roy. Soc. London A241, 376-396.
94. Rice JR, Rudnicki JW, and Simons DA (1978), Deformation of spherical cavities and inclusions in fluid-infiltrated elastic materials, Int. J. Solids Struct. 14, 289-303.
95. Rudnicki JW (1977), The inception of faulting in a rock mass with a weakened zone, J. Geophys. Res. 82, 844 -854.
96. Rudnicki JW (1999), Alteration of regional stress by reservoirs and other inhomogeneities, in Proc 9th Intl Congress on Rock Mechanics, Vouille G and Berest P (eds), Paris, Vol. 3, Balkema, Rotterdam.
97. Rudnicki JW (1985), Effect of pore fluid diffusion on deformation and failure of rock, in Mechanics of Geomaterials, Bazant ZP (ed), John Wiley &Sons, New York, 315-347.
98. Rudnicki JW and Rice JR (1975), Conditions for the localization of deformation in pressure-sensitive dilatant materials, J. Mech. Phys. Solids 23, 371-394.
99. Rudnicki JW (2000), Diffusive instabilities in dilating and compacting geomaterials, in Multiscale Deformation and Fracture in Materials and Structures, Chuang T-J and Rudnicki JW (eds), Kluwer Academic Publ, 159-182.
100. Rudnicki JW (1984), Effects of dilatant hardening on the development of concentrated shear deformation in fissured rock masses, J. Geophys. Res. 89, 9259-9270.
101. Martin RJ III (1980), Pore fluid stabilization of failure in Westerly granite, Geophys. Res. Lett. 7, 404-406.
102. Rudnicki JW and Chen C-H (1988), Stabilization of rapid frictional slip on a weakening fault by dilatant hardening, J. Geophys. Res. 93, 4745-4757.
103. Segall P and Rice JR (1995), Dilatancy, compaction, and slip instability of a fluid-infiltrated fault, J. Geophys. Res. 100, 22,155-22,171.
104. Dieterich JH (1978), Time-dependent friction and the mechanics of stick-slip, Pure Appl. Geophys. 143, 425-456.
105. Dieterich JH (1979), Modeling of rock friction, 1, Experimental results and constitutive equations, J. Geophys. Res. 84, 2161-2168.
106. Ruina A (1983), Slip instability and state variable friction laws, J. Geophys. Res. 88, 10,359-10,370.
107. Marone C, Raleigh CB, and Scholz CH (1990), Frictional behavior and constitutive modeling of simulated fault gouge, J. Geophys. Res. 95, 7007-7025.
108. Chambon G and Rudnicki JW (2001), Effects of normal stress variations on frictional stability of a fluid-infiltrated fault, J. Geophys. Res. 106, 11,353-11,372.
109. Pietruszczak S (1995), Undrained response of granular soil involving localized deformation, J. Eng. Mech. 121, 1292-1297.
110. Han C and Vardoulakis I (1991), Plane strain compression experiments on water-saturated fine grained sand, Geotechnique 41, 49-78.
111. Rudnicki JW and Smith K (1997), Shear heating of a fluid-saturated slip-weakening fault zone, Trans. Geophys. Union 78, F477.
112. Garagash D and Rudnicki JW (1999), Shear heating and slip instability of a fluid-saturated dilatant fault, Trans. Am. Geophys. Union 80, F682.
113. Vardoulakis I (1985), Stability and bifurcation of undrained, plane rectilinear deformations on water-saturated granular soils, Int. J. Nu-mer. Analyt. Meth. Geomech. 9, 399-414.
114. Olsson WA (1999), Theoretical and experimental investigation of compaction bands, J. Geophys. Res. 104, 7219-7228.
115. Dimaggio FL and Sandler IS (1971), Material model for granular soils, J. Eng. Mech. 47, 149-165.
116. Marone C and Kilgore B (1993), Scaling of the critical slip distance for seismic faulting with shear strain in fault zones, Nature (London) 362, 618-621.
117. Finno RJ, Harris WW, Mooney MA, and Viggiani G (1996), Shear bands in plane strain compression of loose sand, Geotechnique 47, 149-165.
118. Finno RJ, Harris WW, Mooney MA, and Viggiani G (1996), Strain localization and undrained steady state of sand, J. Geotech. Eng. 122, 462-473.
119. Rudnicki JW (1996), Development of localization in undrained deformation, in Proc of 11th Conf. Eng. Mech. Div, Lin YK and Su TC (ed), ASCE, New York, 939-942.
120. Rudnicki JW, Finno RJ, Alarcon MA, Viggiani G, and Mooney MA (1996), Coupled deformation-pore fluid diffusion effects on the development of localized deformation in fault gouge, in Prediction and Performance in Rock Mechanics and Rock Engineering, EU-ROCK’96, Turin, Italy, Barla G (ed), Rotterdam: Balkema, 1261-1268.