메뉴 건너뛰기




Volumn 101, Issue 8, 1996, Pages 17661-17677

Discrete scale invariance, complex fractal dimensions, and log-periodic fluctuations in seismicity

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE SCALE INVARIANCE; FRACTAL ANALYSIS; LOG PERIODICITY; SCALING; SEISMICITY;

EID: 0000775533     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/96jb00876     Document Type: Article
Times cited : (174)

References (70)
  • 1
    • 0040236002 scopus 로고
    • Critical properties of random and constrained dipolar magnets
    • Aharony, A., Critical properties of random and constrained dipolar magnets, Phys. Rev. B Solid State, 12, 1049-1056, 1975.
    • (1975) Phys. Rev. B Solid State , vol.12 , pp. 1049-1056
    • Aharony, A.1
  • 2
    • 0028565748 scopus 로고
    • Introduction of scaling techniques in brittle failure of rocks
    • Allègre, C.J. and J.L. Le Mouel, Introduction of scaling techniques in brittle failure of rocks, Phys. Earth Planet. Inter., 87, 85-93, 1994.
    • (1994) Phys. Earth Planet. Inter. , vol.87 , pp. 85-93
    • Allègre, C.J.1    Le Mouel, J.L.2
  • 3
    • 0019910526 scopus 로고
    • Scaling rules in rock fracture and possible implications for earthquake predictions
    • Allègre, C.J., J.L. Le Mouel, and A. Provost, Scaling rules in rock fracture and possible implications for earthquake predictions, Nature, 297, 47-49, 1982.
    • (1982) Nature , vol.297 , pp. 47-49
    • Allègre, C.J.1    Le Mouel, J.L.2    Provost, A.3
  • 5
    • 0001728038 scopus 로고
    • Universal log-periodic corrections to renormalization group scaling for rupture stress prediction from acoustic emissions
    • Anifrani, J.C., C. Le Floc'h, D. Sornette, and B. Souillard, Universal log-periodic corrections to renormalization group scaling for rupture stress prediction from acoustic emissions, J. Phys. I , 5 , 631-638, 1995.
    • (1995) J. Phys. I , vol.5 , pp. 631-638
    • Anifrani, J.C.1    Le Floc'h, C.2    Sornette, D.3    Souillard, B.4
  • 6
    • 0021205138 scopus 로고
    • High-order velocity structure functions in turbulent shear flows
    • Anselmet, F., Y. Gagne, E.J. Hopfinger, and R.A. Antonia, High-order velocity structure functions in turbulent shear flows, J. Fluid Mech., 140, 63-69, 1984.
    • (1984) J. Fluid Mech. , vol.140 , pp. 63-69
    • Anselmet, F.1    Gagne, Y.2    Hopfinger, E.J.3    Antonia, R.A.4
  • 7
    • 36149044312 scopus 로고
    • Diffusion on a one-dimensional lattice with random asymmetric transition rates
    • Bernasconi, J., and W.R. Schneider, Diffusion on a one-dimensional lattice with random asymmetric transition rates, J. Phys. A Math. Gen., 15, L729-L734, 1983.
    • (1983) J. Phys. A Math. Gen. , vol.15
    • Bernasconi, J.1    Schneider, W.R.2
  • 8
    • 0020881169 scopus 로고
    • Complex spectral dimensionality on fractal structures
    • Bessis, D., J.S. Geronimo, and P. Moussa, Complex spectral dimensionality on fractal structures, J. Phys. Lett., 44, L977-L982, 1983.
    • (1983) J. Phys. Lett. , vol.44
    • Bessis, D.1    Geronimo, J.S.2    Moussa, P.3
  • 9
    • 0043230411 scopus 로고
    • Spin-glasses: Experimental facts, theoretical concepts and open questions
    • Binder, K., and A.P. Young, Spin-glasses: experimental facts, theoretical concepts and open questions, Rev. Mod. Phys., 58, 801-976, 1986.
    • (1986) Rev. Mod. Phys. , vol.58 , pp. 801-976
    • Binder, K.1    Young, A.P.2
  • 10
    • 0027455235 scopus 로고
    • Predictive modeling of the seismic cycle of the greater San Francisco bay region
    • Bufe, C.G., and D.J. Varnes, Predictive modeling of the seismic cycle of the greater San Francisco bay region, J. Geophys. Res., 98, 9871-9883, 1993.
    • (1993) J. Geophys. Res. , vol.98 , pp. 9871-9883
    • Bufe, C.G.1    Varnes, D.J.2
  • 11
    • 0028564240 scopus 로고
    • Seismicity trends and potential for large earthquakes in the Alaska-Aleutian region
    • Bufe, C.G., S.P. Nishenko, and D.J. Varnes, Seismicity trends and potential for large earthquakes in the Alaska-Aleutian region, Pure Appl. Geophys., 142, 83-99, 1994.
    • (1994) Pure Appl. Geophys. , vol.142 , pp. 83-99
    • Bufe, C.G.1    Nishenko, S.P.2    Varnes, D.J.3
  • 14
    • 33750184514 scopus 로고
    • Mean field and e-expansion study of spin glasses
    • Chen, J.-H., and T.C. Lubensky, Mean field and e-expansion study of spin glasses, Phys. Rev. B Solid State, 16, 2106-2114, 1977.
    • (1977) Phys. Rev. B Solid State , vol.16 , pp. 2106-2114
    • Chen, J.-H.1    Lubensky, T.C.2
  • 15
    • 84953659752 scopus 로고
    • A stochastic process model for mechanical breakdown
    • Coleman, B.D., A stochastic process model for mechanical breakdown, Trans. Soc. Rheol., 1, 153-168, 1957 .
    • (1957) Trans. Soc. Rheol. , vol.1 , pp. 153-168
    • Coleman, B.D.1
  • 16
    • 0021375732 scopus 로고
    • Boolean difference equation, I, Formulation and dynamical behavior
    • Dee, D., and M. Ghil, Boolean difference equation, I, Formulation and dynamical behavior, SIAM J. Appl. Math., 44, 111-126, 1984.
    • (1984) SIAM J. Appl. Math. , vol.44 , pp. 111-126
    • Dee, D.1    Ghil, M.2
  • 17
    • 0000119681 scopus 로고
    • Renormalization group trajectories with periodic and aperiodic orbits
    • Derrida, B., J.P. Eckmann, and A. Erzan, Renormalization group trajectories with periodic and aperiodic orbits, J. Phys. A Math. Gen., 16, 893, 1983.
    • (1983) J. Phys. A Math. Gen. , vol.16 , pp. 893
    • Derrida, B.1    Eckmann, J.P.2    Erzan, A.3
  • 18
    • 0009806211 scopus 로고
    • First observation of the universal periodic corrections to scaling: Magnetoresistance of normal-metal self-similar networks
    • Doucot, B., W. Wang, J. Chaussy, B. Pannetier, and R. Rammal, First observation of the universal periodic corrections to scaling: Magnetoresistance of normal-metal self-similar networks, Phys. Rev. Lett., 57, 1235-1238, 1986.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 1235-1238
    • Doucot, B.1    Wang, W.2    Chaussy, J.3    Pannetier, B.4    Rammal, R.5
  • 19
    • 0003025040 scopus 로고
    • The earthquake and its aftershocks from May 2 through September 30, 1983
    • The Coalinga California Earthquake of May 2. 1983, edited by M.J. Rymer, and W.L. Ellsworth
    • Eaton, J.P., The earthquake and its aftershocks from May 2 through September 30, 1983, in The Coalinga California Earthquake of May 2. 1983, edited by M.J. Rymer, and W.L. Ellsworth, U.S. Geol. Surv. Prof. Pap. 1487, 113-170, 1990.
    • (1990) U.S. Geol. Surv. Prof. Pap. 1487 , pp. 113-170
    • Eaton, J.P.1
  • 21
    • 0039051999 scopus 로고
    • Boolean delay equations, II, Periodic and aperiodic solutions
    • Ghil, M., and A. Mullhaupt, Boolean delay equations, II, Periodic and aperiodic solutions, J. Stat. Phys., 41, 125-173, 1985.
    • (1985) J. Stat. Phys. , vol.41 , pp. 125-173
    • Ghil, M.1    Mullhaupt, A.2
  • 22
    • 0023496570 scopus 로고
    • Deep water formation and quaternary glaciations
    • Ghil, M., A. Mullhaupt, and P. Pestiaux, Deep water formation and quaternary glaciations, Clim. Dyn., 2, 1-10, 1987.
    • (1987) Clim. Dyn. , vol.2 , pp. 1-10
    • Ghil, M.1    Mullhaupt, A.2    Pestiaux, P.3
  • 24
    • 0030270923 scopus 로고    scopus 로고
    • Discrete scaling in earthquake precursory phenomena: Evidence in the Kobe earthquake, Japan
    • in press
    • Johansen, A., D. Sornette, H. Wakita, U. Tsunogai, W.I. Newman, and H. Saleur, Discrete scaling in earthquake precursory phenomena: Evidence in the Kobe earthquake, Japan, J. Phys. I , in press, 1996.
    • (1996) J. Phys. I
    • Johansen, A.1    Sornette, D.2    Wakita, H.3    Tsunogai, U.4    Newman, W.I.5    Saleur, H.6
  • 25
    • 51649185883 scopus 로고
    • The renormalization group: A probabilistic view
    • Jona-Lasinio, G., The renormalization group: A probabilistic view, Nuovo Cimento Soc. Ital. Fis. B, 26, 99-119, 1975.
    • (1975) Nuovo Cimento Soc. Ital. Fis. B , vol.26 , pp. 99-119
    • Jona-Lasinio, G.1
  • 26
    • 0028554865 scopus 로고
    • Foreshocks, aftershocks, and earthquake probabilities: Accounting for the Landers earthquake
    • Jones, L.M., Foreshocks, aftershocks, and earthquake probabilities: Accounting for the Landers earthquake, Bull. Seismol. Soc. Am., 84, 892-899, 1994.
    • (1994) Bull. Seismol. Soc. Am. , vol.84 , pp. 892-899
    • Jones, L.M.1
  • 27
    • 0002813017 scopus 로고
    • Statistical study of the occurrence of shallow earthquakes
    • Kagan, Y.Y., and L. Knopoff, Statistical study of the occurrence of shallow earthquakes, Geophys. J. R. Astron. Soc., 55, 67-86, 1978.
    • (1978) Geophys. J. R. Astron. Soc. , vol.55 , pp. 67-86
    • Kagan, Y.Y.1    Knopoff, L.2
  • 28
    • 0003114216 scopus 로고
    • Intermediate-term earthquake prediction: Models, algorithms, worldwide tests
    • Keilis-Borok, V.I. (Ed.), Intermediate-term earthquake prediction: Models, algorithms, worldwide tests, Phys. Earth Planet. Inter., 61, (1, 2), 1990.
    • (1990) Phys. Earth Planet. Inter. , vol.61 , Issue.1-2
    • Keilis-Borok, V.I.1
  • 29
    • 0024233831 scopus 로고
    • Intermediate-term prediction of occurrence times of strong earthquakes
    • Keilis-Borok, V.I., L. Knopoff, I.M. Rotwain, and C.R. Allen, Intermediate-term prediction of occurrence times of strong earthquakes, Nature, 335, 690-694, 1988.
    • (1988) Nature , vol.335 , pp. 690-694
    • Keilis-Borok, V.I.1    Knopoff, L.2    Rotwain, I.M.3    Allen, C.R.4
  • 30
    • 0027085008 scopus 로고
    • The mechanisms of finite brittle strain
    • King, G.C.P., and C.G. Sammis, The mechanisms of finite brittle strain, Pure Appl. Geophys., 138, 611-640, 1992.
    • (1992) Pure Appl. Geophys. , vol.138 , pp. 611-640
    • King, G.C.P.1    Sammis, C.G.2
  • 31
    • 0000497229 scopus 로고
    • The seismic cycle pursued
    • Lindh, A.G., The seismic cycle pursued, Nature, 348, 580-581, 1990.
    • (1990) Nature , vol.348 , pp. 580-581
    • Lindh, A.G.1
  • 32
    • 0000328296 scopus 로고
    • Avalanches and epidemic models of fracturing in earthquakes
    • Lomnitz-Adler J., L. Knopoff, and G. Martinezmekler, Avalanches and epidemic models of fracturing in earthquakes, Phys. Rev. A, 45, 2211-2221, 1992.
    • (1992) Phys. Rev. A , vol.45 , pp. 2211-2221
    • Lomnitz-Adler, J.1    Knopoff, L.2    Martinezmekler, G.3
  • 33
    • 0000890061 scopus 로고
    • Some features of recent seismic activity in and near Japan {2}: Activity before and after great earthquakes
    • Mogi, K., Some features of recent seismic activity in and near Japan {2}: Activity before and after great earthquakes. Bull. Earthquake Res. Inst. Univ. Tokyo, 47, 395-417, 1969.
    • (1969) Bull. Earthquake Res. Inst. Univ. Tokyo , vol.47 , pp. 395-417
    • Mogi, K.1
  • 34
    • 0009691770 scopus 로고
    • Scaling representations for critical phenomena
    • Nauenberg, M., Scaling representations for critical phenomena, J. Phys. A Math. Gen., 8, 925, 1975.
    • (1975) J. Phys. A Math. Gen. , vol.8 , pp. 925
    • Nauenberg, M.1
  • 35
    • 0000171882 scopus 로고
    • An exact renormalization model for earthquakes and material failure: Statics and dynamics
    • Newman, W., A. Gabrielov, T. Durand, S. L. Phoenix, and D. Turcotte, An exact renormalization model for earthquakes and material failure: Statics and dynamics, Physica D, 77, 200-216, 1994.
    • (1994) Physica D , vol.77 , pp. 200-216
    • Newman, W.1    Gabrielov, A.2    Durand, T.3    Phoenix, S.L.4    Turcotte, D.5
  • 37
    • 0000771846 scopus 로고
    • Mathematical model for the intermittence of turbulent now
    • Novikov, E.A., Mathematical model for the intermittence of turbulent now, (in Russian), Dokl.Akad.Nauk SSSR 168/6, 1279-1282 (1966), (Sov.Phys. Dokl., Engl. Transl., 11, 497-499, 1966.
    • (1966) Dokl.Akad.Nauk SSSR 168/6 , pp. 1279-1282
    • Novikov, E.A.1
  • 38
    • 0042119352 scopus 로고
    • Engl. Transl.
    • Novikov, E.A., Mathematical model for the intermittence of turbulent now, (in Russian), Dokl.Akad.Nauk SSSR 168/6, 1279-1282 (1966), (Sov.Phys. Dokl., Engl. Transl., 11, 497-499, 1966.
    • (1966) Sov.Phys. Dokl. , vol.11 , pp. 497-499
  • 39
    • 36549104348 scopus 로고
    • The effect of intermittency on statistical characteristics of turbulence and scale similarity of breakdown coefficients
    • Novikov, E.A., The effect of intermittency on statistical characteristics of turbulence and scale similarity of breakdown coefficients, Phys. Fluids A, 2, 814-820, 1990.
    • (1990) Phys. Fluids A , vol.2 , pp. 814-820
    • Novikov, E.A.1
  • 40
    • 0020499914 scopus 로고
    • A statistical model for the time dependent failure of unidirectional composite materials under local elastic load-sharing among fibers
    • Phoenix, S.L., and L.J. Tierney, A statistical model for the time dependent failure of unidirectional composite materials under local elastic load-sharing among fibers, Eng. Fract. Mech., 18, 193-215, 1983.
    • (1983) Eng. Fract. Mech. , vol.18 , pp. 193-215
    • Phoenix, S.L.1    Tierney, L.J.2
  • 41
    • 0020466285 scopus 로고
    • Forecasting southern California earthquakes
    • Raleigh C.B., K. Sieh, L.R. Sykes, and D.L. Anderson, Forecasting southern California earthquakes, Science, 217, 1097-1104, 1982.
    • (1982) Science , vol.217 , pp. 1097-1104
    • Raleigh, C.B.1    Sieh, K.2    Sykes, L.R.3    Anderson, D.L.4
  • 42
    • 0023791717 scopus 로고
    • A physical model for earthquakes, I
    • Rundle, J.B., A physical model for earthquakes, I, J. Geophys. Res., 93, 6237-6254 1988a.
    • (1988) J. Geophys. Res. , vol.93 , pp. 6237-6254
    • Rundle, J.B.1
  • 43
    • 0001754363 scopus 로고
    • A physical model for earthquakes, II
    • Rundle, J.B., A physical model for earthquakes, II, J. Geophys. Res., 93, 6255-6274, 1988b.
    • (1988) J. Geophys. Res. , vol.93 , pp. 6255-6274
    • Rundle, J.B.1
  • 44
    • 0024483321 scopus 로고
    • A physical model for earthquakes, III
    • Rundle, J.B., A physical model for earthquakes, III, J. Geophys. Res., 94, 2839-2855, 1989.
    • (1989) J. Geophys. Res. , vol.94 , pp. 2839-2855
    • Rundle, J.B.1
  • 45
    • 0000558080 scopus 로고
    • Fractal distribution of earthquake hypocenters and its relation to fault patterns and percolation
    • Sahimi, M., M.C. Robertson, and G.C. Sammis, Fractal distribution of earthquake hypocenters and its relation to fault patterns and percolation, Phys. Rev. Lett., 70, 2186-2189, 1993.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 2186-2189
    • Sahimi, M.1    Robertson, M.C.2    Sammis, G.C.3
  • 46
    • 3743050117 scopus 로고
    • Fractal fragmentation in shear zones
    • edited by C. Barton and P.R. La Pointe, Plenum, New York
    • Sammis, C.G., and S. J. Steacy, Fractal fragmentation in shear zones, in Fractal Geometry and Its Use in the Earth Sciences, edited by C. Barton and P.R. La Pointe, Plenum, New York, 1994.
    • (1994) Fractal Geometry and Its Use in the Earth Sciences
    • Sammis, C.G.1    Steacy, S.J.2
  • 47
  • 49
    • 0000988841 scopus 로고
    • Complex fractal dimension of the bronchial tree
    • Schlesinger, M.F., and B.J. West, Complex fractal dimension of the bronchial tree, Phys. Rev. Lett., 67, 2106-2108, 1991.
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 2106-2108
    • Schlesinger, M.F.1    West, B.J.2
  • 52
    • 0021620097 scopus 로고
    • Fault behavior and characteristic earthquakes: Examples from the Wasatch and San Andreas fault zones
    • Schwartz, D.P., and K.J. Coopersmith, Fault behavior and characteristic earthquakes: Examples from the Wasatch and San Andreas fault zones, J. Geophys. Res., 89, 5681-5698, 1984.
    • (1984) J. Geophys. Res. , vol.89 , pp. 5681-5698
    • Schwartz, D.P.1    Coopersmith, K.J.2
  • 53
    • 0002967245 scopus 로고
    • Random walks in a random environment
    • Solomon, F., Random walks in a random environment, Ann. Prob., 3, 1-31, 1975.
    • (1975) Ann. Prob. , vol.3 , pp. 1-31
    • Solomon, F.1
  • 54
    • 0000190329 scopus 로고
    • Complex critical exponents from renormalization group theory of earthquakes: Implications for earthquake predictions
    • Sornette, D., and C.G. Sammis, Complex critical exponents from renormalization group theory of earthquakes: Implications for earthquake predictions, J. Phys. I , 5, 607-619, 1995.
    • (1995) J. Phys. I , vol.5 , pp. 607-619
    • Sornette, D.1    Sammis, C.G.2
  • 55
    • 0025593559 scopus 로고
    • Earthquake rupture as a critical point: Consequences for telluric precursors
    • Sornette, A., and D. Sornette, Earthquake rupture as a critical point: Consequences for telluric precursors, Tectonophysics, 179, 327-334, 1990.
    • (1990) Tectonophysics , vol.179 , pp. 327-334
    • Sornette, A.1    Sornette, D.2
  • 56
    • 0000044578 scopus 로고
    • Dynamics and memory effects in rupture of thermal fuse networks
    • Sornette, D., and D. Vanneste, Dynamics and memory effects in rupture of thermal fuse networks, Phys. Rev. Lett., 68, 612-615, 1992.
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 612-615
    • Sornette, D.1    Vanneste, D.2
  • 57
    • 0026474298 scopus 로고
    • A theory linking large time tectonics and short time deformations of the lithosphere
    • Sornette, D., and J. Virieux, A theory linking large time tectonics and short time deformations of the lithosphere, Nature, 357, 401-403, 1992.
    • (1992) Nature , vol.357 , pp. 401-403
    • Sornette, D.1    Virieux, J.2
  • 58
    • 0001046264 scopus 로고
    • Statistical model of earthquake foreshocks
    • Sornette, D., D. Vanneste, and L. Knopoff, Statistical model of earthquake foreshocks, Phys. Rev. A, 45, 8351-8357, 1992.
    • (1992) Phys. Rev. A , vol.45 , pp. 8351-8357
    • Sornette, D.1    Vanneste, D.2    Knopoff, L.3
  • 59
    • 0022011911 scopus 로고
    • A renormalization group approach to the stick-slip behavior of faults
    • Smalley, R.F., D.L. Turcotte, and S.A. Solla, A renormalization group approach to the stick-slip behavior of faults, J. Geophys. Res., 90, 1894-1900, 1985.
    • (1985) J. Geophys. Res. , vol.90 , pp. 1894-1900
    • Smalley, R.F.1    Turcotte, D.L.2    Solla, S.A.3
  • 61
    • 0025645243 scopus 로고
    • Seismic activity on neighbouring faults as a long-term precursor to large earthquakes in the San Francisco Bay Area
    • Sykes, L.R., and S. Jaumé, Seismic activity on neighbouring faults as a long-term precursor to large earthquakes in the San Francisco Bay Area, Nature, 348, 595-599, 1990.
    • (1990) Nature , vol.348 , pp. 595-599
    • Sykes, L.R.1    Jaumé, S.2
  • 64
    • 6244263470 scopus 로고
    • The cyclic and fractal seismic series preceding the February 14, 1980, M=4.8 earthquake near the Virgin Islands
    • Vames, D.J., The cyclic and fractal seismic series preceding the February 14, 1980, M=4.8 earthquake near the Virgin Islands, Eos Trans. AGU., 72 (17), Spring Meet. Suppl., 58, 1991.
    • (1991) Eos Trans. AGU. , vol.72 , Issue.17 SPRING MEET. SUPPL. , pp. 58
    • Vames, D.J.1
  • 65
    • 0029773276 scopus 로고    scopus 로고
    • b=4.8 earthquake on 1980 February 14 near the Virgin Islands
    • b=4.8 earthquake on 1980 February 14 near the Virgin Islands, Geophys. J. Int., 124, 149-158, 1996.
    • (1996) Geophys. J. Int. , vol.124 , pp. 149-158
    • Varnes, D.J.1    Bufe, C.G.2
  • 66
    • 0001222642 scopus 로고
    • Statistical theories of crack propagation
    • Vere-Jones, D., Statistical theories of crack propagation, Math. Geol., 9, 455-481, 1977.
    • (1977) Math. Geol. , vol.9 , pp. 455-481
    • Vere-Jones, D.1
  • 67
    • 0024305001 scopus 로고
    • A relation to describe rate-dependent material failure
    • Voight, B., A relation to describe rate-dependent material failure, Science, 243, 200-203, 1989.
    • (1989) Science , vol.243 , pp. 200-203
    • Voight, B.1
  • 68
    • 0347493772 scopus 로고
    • Gradient properties of the renormalization group equations in multicomponent systems
    • Wallace, D.J., and R.K.P. Zia, Gradient properties of the renormalization group equations in multicomponent systems, Ann. Phys., 92, 142-163, 1975.
    • (1975) Ann. Phys. , vol.92 , pp. 142-163
    • Wallace, D.J.1    Zia, R.K.P.2
  • 69
    • 0001591958 scopus 로고
    • Problems of physics with many scales of length
    • Wilson, K.G., Problems of physics with many scales of length, Sci. Am., 241, 140-157, 1979.
    • (1979) Sci. Am. , vol.241 , pp. 140-157
    • Wilson, K.G.1
  • 70
    • 0042492825 scopus 로고
    • The Potts model
    • Wu, F.Y., The Potts model. Rev. Mod. Phys., 54, 235-268, 1982.
    • (1982) Rev. Mod. Phys. , vol.54 , pp. 235-268
    • Wu, F.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.