Physical explanation for the displacement-length relationship of faults using a post-yield fracture mechanics model

Journal of Structural Geology - Tập 14 Số 10 - Trang 1133-1148 - 1992
P. A. Cowie1, Christopher H. Scholz1
1Lamont-Doherty Geological Observatory and Department of Geological Sciences, Columbia University, Palisades, NY 10964-0190, U.S.A.

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Aydin, 1990, Effect of mechanical interaction in the development of strike-slip faults with echelon patterns, J. Struct. Geol., 12, 123, 10.1016/0191-8141(90)90053-2

Aydin, 1978, Development of faults as zones of deformation bands and as slip surfaces in sandstone, Pure & Appl. Geophys., 116, 931, 10.1007/BF00876547

Barenblatt, 1962, The mathematical theory of equilibrium cracks in brittle fracture, Adv. Appl. Mech., 7, 55, 10.1016/S0065-2156(08)70121-2

Bilby, 1963, The spread of plastic yield from a notch, A272, 304

Bilham, 1989, The morphology of strike-slip faults: examples from the San Andreas fault, California, J. geophys. Res., 94, 10,204, 10.1029/JB094iB08p10204

Birch, 1966, Compressibility; Elastic constants, 97, 97

Birch, 1961, The velocity of compressional waves in rock to 10 Kilobars, Part 2, J. geophys. Res., 66, 2199, 10.1029/JZ066i007p02199

Birch, 1938, The effect of pressure on the rigidity of rocks, 1, J. Geol., 46, 59, 10.1086/624620

Brace, 1964, Brittle fracture of rocks, 111

Chapman, 1978, Stratigraphy and structure of the Kamasia range, Kenya Rift Valley, J. geol. Soc. Lond., 135, 265, 10.1144/gsjgs.135.3.0265

Chester, 1986, Implications for mechanical properties of brittle faults from observations of the Punchbowl fault zone, California, Pure & Appl. Geophys., 124, 79, 10.1007/BF00875720

Chinnery, 1961, The deformation of the ground around fault surfaces, Bull. seism. Soc. Am., 51, 355, 10.1785/BSSA0510030355

Chinnery, 1967, The dislocation fault model with a variable discontinuity, Tectonophysics, 5, 513, 10.1016/0040-1951(68)90008-5

Cowie, 1992

Cowie, 1992, Growth of faults by accumulation of seismic slip, J. geophys. Res., 97, 11,085, 10.1029/92JB00586

Cowie, 1992, Displacement—length scaling relationship for faults: data synthesis and discussion, J. Struct. Geol., 14, 1149, 10.1016/0191-8141(92)90066-6

Cox, 1988

Cox, 1988, Rupture initiation in shear fracture of rocks: An experimental study, J. geophys. Res., 93, 3307, 10.1029/JB093iB04p03307

Cox, 1988, On the formation and growth of faults, J. Struct. Geol., 10, 413, 10.1016/0191-8141(88)90019-3

Dugdale, 1960, Yielding of steel sheets containing slits, J. Mech. Phys. Solids, 8, 100, 10.1016/0022-5096(60)90013-2

Elliott, 1976, The energy balance and deformation mechanisms of thrust sheets, Phil. Trans. R. Soc. Lond., A283, 289

Etchecopar, 1986, Origine des fentes en echelon: propagation des failles, C.r. Acad. Sci., Paris, 302, 479

Gay, 1979, Anatomy of a mining induced fault zone, Bull. geol. Soc. Am., 90, 47, 10.1130/0016-7606(1979)90<47:AOAMFZ>2.0.CO;2

Goodier, 1963, Plastic energy dissipation in crack propagation, 103

Granier, 1985, Origin, damping and pattern of development of faults in granite, Tectonics, 4, 721, 10.1029/TC004i007p00721

Gudmundsson, 1987, Geometry, formation and development of tectonic fractures on the Reykjanes Peninsular, southwest Iceland, Tectonophysics, 139, 295, 10.1016/0040-1951(87)90103-X

Gudmundsson, 1987, Tectonics of the Thingvellir fissure swarm, SW Iceland, J. Struct. Geol., 9, 61, 10.1016/0191-8141(87)90044-7

Higgs, 1988, Syn-sedimentary structural controls on basin deformation in the Gulf of Corinth, Greece, Basin Res., 1, 155, 10.1111/j.1365-2117.1988.tb00012.x

Hildebrand-Mittlefehldt, 1979, Deformation near a fault termination, Part I: A fault in a clay experiment, Tectonophysics, 57, 131, 10.1016/0040-1951(79)90145-8

Hildebrand-Mittlefehldt, 1980, Deformation near a fault termination, Part II: A normal fault in shales, Tectonophysics, 64, 211, 10.1016/0040-1951(80)90098-0

Ida, 1972, Cohesive force across the tip of a longitudinal-shear crack and Griffith's specific surface energy, J. geophys. Res., 77, 3796, 10.1029/JB077i020p03796

Judd, 1964, Rock stress, rock mechanics, and research, 5

Kanninen, 1985

King, 1989, The growth of geologic structures by repeated earthquakes, 1. Conceptual framework, J. geophys. Res., 93, 13,307, 10.1029/JB093iB11p13307

Knipe, 1979, Deformation in low grade shear zones in the Old Red Sandstone, southwest Wales, J. Struct. Geol., 1, 53, 10.1016/0191-8141(79)90021-X

Lawn, 1975

Latzko, 1984

Lockner, 1991, Quasi-static fault growth and shear fracture energy in granite, Nature, 350, 39, 10.1038/350039a0

Li, 1987, Mechanics of shear rupture applied to earthquake zones

Lin, 1988, Quasi-static propagation of a normal fault: a fracture mechanics model, J. Struct. Geol., 10, 249, 10.1016/0191-8141(88)90058-2

Machette, 1991, The Wasatch fault zone, 13, 137

Marrett, 1991, Estimates of strain due to brittle faulting: sampling of fault populations, J. Struct. Geol., 13, 735, 10.1016/0191-8141(91)90034-G

Martel, 1988, Development of simple strike-slip fault zones, Mount Abbot Quadrangle, Sierra Nevada, California, Bull. geol. Soc. Am., 100, 1451, 10.1130/0016-7606(1988)100<1451:DOSSSF>2.3.CO;2

Martel, 1989, Mechanics of slip and fracture along small faults and simple strike-slip fault zones in granitic rock, J. geophys. Res., 94, 9417, 10.1029/JB094iB07p09417

Mavko, 1982, Fault interaction near Hollister. California, J. geophys. Res., 87, 7807, 10.1029/JB087iB09p07807

Muraoka, 1983, Displacement distribution along minor fault traces, J. Struct. Geol., 5, 483, 10.1016/0191-8141(83)90054-8

Okubo, 1984, Effects of fault properties on frictional instabilities produced on simulated faults, J. geophys. Res., 89, 5817, 10.1029/JB089iB07p05817

Opheim, 1989, Formation and geometry of fractures, and related volcanism, of the Krafla fissure swarm, northeast Iceland, Bull. geol. Soc. Am., 101, 1608, 10.1130/0016-7606(1989)101<1608:FAGOFA>2.3.CO;2

Palmer, 1973, The growth of slip surfaces in the progressive failure of overconsolidated clay, A332, 527

Peacock, 1991, Displacement, segment linkage and relay ramps in normal fault zones, J. Struct. Geol., 13, 721, 10.1016/0191-8141(91)90033-F

Peacock, 1991, Displacement and segment linkage in strike-slip fault zones, J. Struct. Geol., 13, 1025, 10.1016/0191-8141(91)90054-M

Pollard, 1987, Theoretical displacements and stresses near fractures in rock: with applications to faults, joints, veins, dikes and solution surfaces

Rice, 1968, Volume 2, 191

Rice, 1979, Theory of precursory processes in the inception of earthquake rupture, Gerlands Beitr. Geophys., 88, 91

Rice, 1980, The mechanics of earthquake rupture, 555

Rippon, 1985, Contoured patterns of the throw and bade of normal faults in the Coal Measures (Westphalian) of northwest Derbyshire, 45, 147

Robertson, 1982, Continuous formation of gouge and breccia during fault displacement, 397

Rubin, 1990, Rock fracture at high confining pressure and the scale dependance of the damage zone at the tips of propagating dikes, Trans. Am. Geophys. Un., 71, 635

Rubin, 1991, Rock fracture during dike propagation: Reconciling field observations with laboratory experiments, Trans. Am. Geophys. Union, 72, 442

Rudnicki, 1980, Fracture mechanics applied to the Earth's crust, Annu. Rev. Earth & Planet Sci., 8, 489, 10.1146/annurev.ea.08.050180.002421

Scholz, 1987, Wear and gouge formation in brittle faulting, Geology, 15, 493, 10.1130/0091-7613(1987)15<493:WAGFIB>2.0.CO;2

Scholz, 1990

Schwartz, 1984, Fault behavior and characteristic earthquakes: Examples from the Wasatch and San Andreas fault zones, J. geophys. Res., 89, 5681, 10.1029/JB089iB07p05681

Sibson, 1986, Brecciation processes in fault zones: inferences from earthquake rupturing, Pure & Appl. Geophys., 124, 159, 10.1007/BF00875724

Sibson, 1988, Earthquake faulting as a structural process, J. Struct. Geol., 11, 1, 10.1016/0191-8141(89)90032-1

Segall, 1980, Mechanics of discontinuous faults, J. geophys. Res., 85, 4337, 10.1029/JB085iB08p04337

Segall, 1983, Nucleation and growth of strike-slip faults in granite, J. geophys. Res., 88, 555, 10.1029/JB088iB01p00555

Stein, 1989, The growth of geologic structures by repeated earthquakes, 93, 13,319

Tapponier, 1976, Development of stress induced microcracks in Westerly granite, Int. J. Rock Mech. & Mining Sci. Geomech. Abs., 13, 103, 10.1016/0148-9062(76)91937-9

Villemin, T., Angelier, J. & Sunwoo, C. In press. Fractal distribution of fault length and offset: Implications on brittle deformation evaluation: The Lorraine Coal Basin (NE France). In: Fractals and Their Use in the Petroleum Industry (edited by Barton, C. & LaPointe, P.). Am. Ass. Petrol. Geol. Book Series.

Wallace, 1986, Characteristics of faults and shear zones in deep mines, Pure & Appl. Geophys., 124, 107, 10.1007/BF00875721

Watterson, 1986, Fault dimensions, displacements and growth, Pure & Appl. Geophys., 124, 365, 10.1007/BF00875732

Walsh, 1987, Distribution of cumulative displacement and of seismic slip on a single normal fault surface, J. Struct. Geol., 9, 1039, 10.1016/0191-8141(87)90012-5

Walsh, 1988, Analysis of the relationship between displacements and dimensions of faults, J. Struct. Geol., 10, 239, 10.1016/0191-8141(88)90057-0

Walsh, 1989, Displacement gradients on fault surfaces, J. Struct. Geol., 11, 307, 10.1016/0191-8141(89)90070-9

Walsh, 1991, Geometric and kinematic coherence and scale effects in normal fault systens, The Geometry of Normal Faults. Spec. Publs. geol. Soc. Lond., 56, 193, 10.1144/GSL.SP.1991.056.01.13