메뉴 건너뛰기




Volumn 131, Issue 1, 1997, Pages 171-178

Renormalization schemes for earthquake prediction

Author keywords

Earthquake prediction; Foreshocks; Fractals; Seismicity

Indexed keywords

EARTHQUAKE PREDICTION; FORESHOCK; FRACTAL ANALYSIS; FRACTAL PROPERTIES;

EID: 0031414745     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.1997.tb00603.x     Document Type: Article
Times cited : (6)

References (59)
  • 1
    • 0019910526 scopus 로고
    • Scaling rules in rock fracture and possible implications for earthquake prediction
    • Allègre, C.J., Le Mouël, J.L. & Provost, A., 1982. Scaling rules in rock fracture and possible implications for earthquake prediction, Nature, 297, 47-49.
    • (1982) Nature , vol.297 , pp. 47-49
    • Allègre, C.J.1    Le Mouël, J.L.2    Provost, A.3
  • 3
    • 0001728038 scopus 로고
    • Universal log-periodic correction to renormalization group scaling for rupture stress prediction from acoustic emissions
    • Anifrani, J.-C., Le Floc'h, C., Sornette, D. & Souillard, B., 1995. Universal log-periodic correction to renormalization group scaling for rupture stress prediction from acoustic emissions, J. Phys. I. France, 5, 631-638.
    • (1995) J. Phys. I. France , vol.5 , pp. 631-638
    • Anifrani, J.-C.1    Le Floc'h, C.2    Sornette, D.3    Souillard, B.4
  • 4
    • 0023513501 scopus 로고
    • Fractal analysis applied to characteristic segments of the San Andreas fault
    • Aviles, C.A., Scholz, C.H & Boatwright, J., 1987. Fractal analysis applied to characteristic segments of the San Andreas fault, J. geophys. Res., 92, 331-344.
    • (1987) J. Geophys. Res. , vol.92 , pp. 331-344
    • Aviles, C.A.1    Scholz, C.H.2    Boatwright, J.3
  • 5
    • 0024932740 scopus 로고
    • Earthquakes as a self-organized critical phenomenon
    • Bak, P. & Tang, C., 1989. Earthquakes as a self-organized critical phenomenon, J. geophys. Res., 94, 15 635-15 637.
    • (1989) J. Geophys. Res. , vol.94 , pp. 15635-15637
    • Bak, P.1    Tang, C.2
  • 6
    • 4243570065 scopus 로고
    • Universal scaling of the stress field at the vicinity of a wedge crack in two dimensions and oscillatory self-similar corrections to scaling
    • Ball, R.C. & Blumenfeld, R., 1990. Universal scaling of the stress field at the vicinity of a wedge crack in two dimensions and oscillatory self-similar corrections to scaling, Phys. Rev. Lett., 65, 1784-1787.
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 1784-1787
    • Ball, R.C.1    Blumenfeld, R.2
  • 8
    • 0019924742 scopus 로고
    • A note concerning power-type constitutive equations of deformation and fracture of solids
    • Barenblatt, G.I. & Botvina, L.R., 1982. A note concerning power-type constitutive equations of deformation and fracture of solids, Int. J. Eng. Sci., 20, 187-191.
    • (1982) Int. J. Eng. Sci. , vol.20 , pp. 187-191
    • Barenblatt, G.I.1    Botvina, L.R.2
  • 9
    • 84915503825 scopus 로고
    • Intermediate asymptotics in mathematical physics
    • Barenblatt, G.I. & Zeldovich, Ya.B., 1971. Intermediate asymptotics in mathematical physics, Russian Math. Surveys, 26, 45-61.
    • (1971) Russian Math. Surveys , vol.26 , pp. 45-61
    • Barenblatt, G.I.1    Zeldovich, Ya.B.2
  • 10
    • 0000885949 scopus 로고
    • Self-similar solutions as intermediate asymptotics
    • Barenblatt, G.I. & Zeldovich, Ya.B., 1972. Self-similar solutions as intermediate asymptotics, Ann. Rev. Fluid Mech., 4, 285-312.
    • (1972) Ann. Rev. Fluid Mech. , vol.4 , pp. 285-312
    • Barenblatt, G.I.1    Zeldovich, Ya.B.2
  • 11
    • 0002506877 scopus 로고
    • Earthquakes and rock creep. Part I: Creep characteristics of rocks and the origin of aftershocks
    • Benioff, H., 1951. Earthquakes and rock creep. Part I: creep characteristics of rocks and the origin of aftershocks, Bull. seism. Soc. Am., 41, 31-62.
    • (1951) Bull. Seism. Soc. Am. , vol.41 , pp. 31-62
    • Benioff, H.1
  • 12
    • 0000955099 scopus 로고
    • On the Weierstrass-Mandelbrot fractal functions
    • Berry, M.V. & Lewis, Z.V., 1980. On the Weierstrass-Mandelbrot fractal functions, Proc. R. Soc. Lond., A, 370, 459-484.
    • (1980) Proc. R. Soc. Lond., A , vol.370 , pp. 459-484
    • Berry, M.V.1    Lewis, Z.V.2
  • 15
    • 0009989013 scopus 로고
    • Similarity properties of discrete contact between a fractal punch and an elastic medium
    • Borodich, F.M., 1993. Similarity properties of discrete contact between a fractal punch and an elastic medium, C. R. Acad. Sci. (Paris), Ser. 2, 316, 281-286.
    • (1993) C. R. Acad. Sci. (Paris), Ser. 2 , vol.316 , pp. 281-286
    • Borodich, F.M.1
  • 16
    • 0002564424 scopus 로고
    • Some applications of the fractal parametric-homogeneous functions
    • Borodich, F.M., 1994. Some applications of the fractal parametric-homogeneous functions, Fractals, 2, 311-314.
    • (1994) Fractals , vol.2 , pp. 311-314
    • Borodich, F.M.1
  • 17
    • 0042119354 scopus 로고
    • Similarity in the problem of discrete contact between fractal surfaces
    • ed. Novak, M.M., Chapman and Hall, London
    • Borodich, F.M., 1995a. Similarity in the problem of discrete contact between fractal surfaces, in Fractal Reviews in the Natural and Applied Sciences, pp. 113-120, ed. Novak, M.M., Chapman and Hall, London.
    • (1995) Fractal Reviews in the Natural and Applied Sciences , pp. 113-120
    • Borodich, F.M.1
  • 18
    • 0039825264 scopus 로고
    • Parametric-homogeneous functions, similarity, and fractal function graphs
    • Glasgow Caledonian University, Glasgow
    • Borodich, F.M., 1995b. Parametric-homogeneous functions, similarity, and fractal function graphs, Technical Report TR/MAT/FMB/ 95-35, Glasgow Caledonian University, Glasgow.
    • (1995) Technical Report TR/MAT/FMB/ 95-35
    • Borodich, F.M.1
  • 19
    • 0042620462 scopus 로고    scopus 로고
    • Applications of parametric-homogeneous functions to problems of interaction between fractal surfaces
    • Borodich, F.M., 1996. Applications of parametric-homogeneous functions to problems of interaction between fractal surfaces, ZAMM, 76(S5), 61-62.
    • (1996) ZAMM , vol.76 , Issue.S5 , pp. 61-62
    • Borodich, F.M.1
  • 20
    • 0344783739 scopus 로고    scopus 로고
    • Scaling of microcrack patterns and crack propagation
    • eds Novak, M.M. & Dewey, T.G., World Scientific, Singapore
    • Borodich, F.M., 1997. Scaling of microcrack patterns and crack propagation, in Fractal Frontiers, pp. 235-243, eds Novak, M.M. & Dewey, T.G., World Scientific, Singapore.
    • (1997) Fractal Frontiers , pp. 235-243
    • Borodich, F.M.1
  • 21
    • 0027455235 scopus 로고
    • Predictive modeling of the seismic cycle of the greater San Francisco Bay region
    • Bufe, C. & Varnes, D.J., 1993. Predictive modeling of the seismic cycle of the greater San Francisco Bay region, J. geophys. Res., 98, 9871-9883.
    • (1993) J. Geophys. Res. , vol.98 , pp. 9871-9883
    • Bufe, C.1    Varnes, D.J.2
  • 22
    • 0028564240 scopus 로고
    • Seismicity trends and potential for large earthquakes in the Alaska-Aleutian region
    • Bufe, C., Nishenko, S.P. & Varnes, D.J., 1994. Seismicity trends and potential for large earthquakes in the Alaska-Aleutian region, Pure appl. Geophys., 142, 83-99.
    • (1994) Pure Appl. Geophys. , vol.142 , pp. 83-99
    • Bufe, C.1    Nishenko, S.P.2    Varnes, D.J.3
  • 24
    • 0000119681 scopus 로고
    • Renormalisation groups with periodic and aperiodic orbits
    • Derrida, B., Eckmann, J.-P. & Erzan, A., 1983. Renormalisation groups with periodic and aperiodic orbits, J. Phys. A: Math. Gen., 16, 893-906.
    • (1983) J. Phys. A: Math. Gen. , vol.16 , pp. 893-906
    • Derrida, B.1    Eckmann, J.-P.2    Erzan, A.3
  • 25
    • 0001179596 scopus 로고
    • Oscillatory critical amplitudes in hierarchical models
    • Derrida, G., Itzykson, C. & Luck, J.M., 1984. Oscillatory critical amplitudes in hierarchical models, Commun. Math. Phys., 94, 115-132.
    • (1984) Commun. Math. Phys. , vol.94 , pp. 115-132
    • Derrida, G.1    Itzykson, C.2    Luck, J.M.3
  • 26
    • 0009806211 scopus 로고
    • First observation of the universal periodic corrections to scaling: Magnetoresistance of normal-metal self-similar networks
    • Doucot, B., Wang, W., Chaussy, J., Pannetier, B., Rammal, R., Vareille, A. & Henry, D., 1986. First observation of the universal periodic corrections to scaling: magnetoresistance of normal-metal self-similar networks, Phys. Rev. Lett., 57, 1235-1238.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 1235-1238
    • Doucot, B.1    Wang, W.2    Chaussy, J.3    Pannetier, B.4    Rammal, R.5    Vareille, A.6    Henry, D.7
  • 29
    • 0029504517 scopus 로고
    • A model for crack connectivity in rocks, a discussion
    • Gómez, J.B., Pacheco, A.F. & Seguí-Santonja, A.J., 1995. A model for crack connectivity in rocks, a discussion, Math. Geol., 27, 23-39.
    • (1995) Math. Geol. , vol.27 , pp. 23-39
    • Gómez, J.B.1    Pacheco, A.F.2    Seguí-Santonja, A.J.3
  • 30
    • 0024525313 scopus 로고
    • Fractal dimension of fault systems in Japan - Fractal structure in rock fracture geometry at various scales
    • Hirata, T., 1989. Fractal dimension of fault systems in Japan - fractal structure in rock fracture geometry at various scales, Pure appl. Geophys., 131, 157-170.
    • (1989) Pure Appl. Geophys. , vol.131 , pp. 157-170
    • Hirata, T.1
  • 31
    • 0030270923 scopus 로고    scopus 로고
    • Discrete scaling in earthquake precursory phenomena: Evidence in the Kobe earthquake, Japan
    • Johansen, A., Sornette, D., Wakita, H., Tsunogai, U., Newman, W.I. & Saleur, H. 1996. Discrete scaling in earthquake precursory phenomena: evidence in the Kobe earthquake, Japan, J. Phys. I. France, 6, 1391-1402.
    • (1996) J. Phys. I. France , vol.6 , pp. 1391-1402
    • Johansen, A.1    Sornette, D.2    Wakita, H.3    Tsunogai, U.4    Newman, W.I.5    Saleur, H.6
  • 32
    • 0002711772 scopus 로고
    • Fractal dimension of brittle fracture
    • Kagan, Y.Y., 1991. Fractal dimension of brittle fracture, J. nonlinear Sci., 1, 1-16.
    • (1991) J. Nonlinear Sci. , vol.1 , pp. 1-16
    • Kagan, Y.Y.1
  • 33
    • 0018920734 scopus 로고
    • Spatial distribution of earthquakes: The two-point correlation function
    • Kagan, Y.Y. & Knopoff, L., 1980. Spatial distribution of earthquakes: The two-point correlation function, Geophys. J. R. astr. Soc., 62, 303-320.
    • (1980) Geophys. J. R. Astr. Soc. , vol.62 , pp. 303-320
    • Kagan, Y.Y.1    Knopoff, L.2
  • 34
    • 0024233831 scopus 로고
    • Intermediate-term prediction of occurrence times of strong earthquakes
    • Keilis-Borok, V.I., Knopoff, L., Rotwain, I.M. & Allen, C.R. 1988. Intermediate-term prediction of occurrence times of strong earthquakes, Nature, 335, 690-694.
    • (1988) Nature , vol.335 , pp. 690-694
    • Keilis-Borok, V.I.1    Knopoff, L.2    Rotwain, I.M.3    Allen, C.R.4
  • 35
    • 0029935145 scopus 로고    scopus 로고
    • Earthquake prediction: The scientific challenge
    • Knopoff, L., 1996a. Earthquake prediction: The scientific challenge, Proc. Nat. Acad. Sci. USA, 93, 3719-3720.
    • (1996) Proc. Nat. Acad. Sci. USA , vol.93 , pp. 3719-3720
    • Knopoff, L.1
  • 36
    • 0029913808 scopus 로고    scopus 로고
    • The organization of seismicity on fault networks
    • Knopoff, L., 1996b. The organization of seismicity on fault networks, Proc. Nat. Acad. Sci. USA, 93, 3830-3837.
    • (1996) Proc. Nat. Acad. Sci. USA , vol.93 , pp. 3830-3837
    • Knopoff, L.1
  • 38
    • 0020641954 scopus 로고
    • Microcrack connectivity in rocks: A renormalization group approach to the critical phenomena of conduction and failure in crystalline rocks
    • Madden, T.R., 1983. Microcrack connectivity in rocks: a renormalization group approach to the critical phenomena of conduction and failure in crystalline rocks, J. geophys. Res., 88, 585-592.
    • (1983) J. Geophys. Res. , vol.88 , pp. 585-592
    • Madden, T.R.1
  • 39
    • 0027806714 scopus 로고
    • Role of size distributions on physical properties: Real size renormalization group
    • Madden, T.R. & Williams, E., 1993. Role of size distributions on physical properties: Real size renormalization group, J. geophys. Res., 98, 15 951-15 965.
    • (1993) J. Geophys. Res. , vol.98 , pp. 15951-15965
    • Madden, T.R.1    Williams, E.2
  • 40
    • 0030404380 scopus 로고    scopus 로고
    • Statistical physics, seismogenesis, and seismic hazard
    • Main, I., 1996. Statistical physics, seismogenesis, and seismic hazard, Rev. Geophys., 34, 433-462.
    • (1996) Rev. Geophys. , vol.34 , pp. 433-462
    • Main, I.1
  • 41
    • 0009691770 scopus 로고
    • Scaling representation for critical phenomena
    • Nauenberg, M., 1975. Scaling representation for critical phenomena, J. Phys. A: Math. Gen., 8, 925-928.
    • (1975) J. Phys. A: Math. Gen. , vol.8 , pp. 925-928
    • Nauenberg, M.1
  • 42
    • 0000171882 scopus 로고
    • An exact renormalization model for earthquakes and material failure. Statics and dynamics
    • Newman, W.I., Gabrielov, A.M., Durand, T.A., Phoenix, S.L. & Turcotte D.L., 1994. An exact renormalization model for earthquakes and material failure. Statics and dynamics, Physica D, 77, 200-216.
    • (1994) Physica D , vol.77 , pp. 200-216
    • Newman, W.I.1    Gabrielov, A.M.2    Durand, T.A.3    Phoenix, S.L.4    Turcotte, D.L.5
  • 43
    • 0001501588 scopus 로고
    • Log-periodic behavior of a hierarchical failure model with applications to precursory seismic activation
    • Newman, W.I., Turcotte D.L., & Gabrielov, A.M., 1995. Log-periodic behavior of a hierarchical failure model with applications to precursory seismic activation, Phys. Rev. E, 52, 4827-4835.
    • (1995) Phys. Rev. E , vol.52 , pp. 4827-4835
    • Newman, W.I.1    Turcotte, D.L.2    Gabrielov, A.M.3
  • 44
    • 0001274676 scopus 로고
    • Renormalization theory for Ising-like spin systems
    • eds Domb, C. & Green, M.S., Academic Press, London
    • Niemeijer, Th., & van Leeuwen, J.M.J., 1976. Renormalization theory for Ising-like spin systems, in Phase Transitions and Critical Phenomena, pp. 425-505, eds Domb, C. & Green, M.S., Academic Press, London.
    • (1976) Phase Transitions and Critical Phenomena , pp. 425-505
    • Niemeijer, Th.1    Van Leeuwen, J.M.J.2
  • 45
    • 0042119352 scopus 로고
    • Mathematical model for the intermittence of turbulent flow
    • Novikov, E.A., 1966. Mathematical model for the intermittence of turbulent flow, Sov. Phys. Dokl., 11, 497-499.
    • (1966) Sov. Phys. Dokl. , vol.11 , pp. 497-499
    • Novikov, E.A.1
  • 46
    • 36549104348 scopus 로고
    • The effects of intermittency on statistical characteristics of turbulence and scale similarity of breakdown coefficients
    • Novikov, E.A., 1990. The effects of intermittency on statistical characteristics of turbulence and scale similarity of breakdown coefficients, Phys. Fluids A, 2, 814-820.
    • (1990) Phys. Fluids A , vol.2 , pp. 814-820
    • Novikov, E.A.1
  • 47
    • 0023488624 scopus 로고
    • Fractal geometry in the San Andreas fault system
    • Okubo, P.G. & Aki, K., 1987. Fractal geometry in the San Andreas fault system, J. geophys. Res., 92, 345-355.
    • (1987) J. Geophys. Res. , vol.92 , pp. 345-355
    • Okubo, P.G.1    Aki, K.2
  • 50
    • 0000221813 scopus 로고    scopus 로고
    • Scaling laws for fracture of heterogeneous materials and rock
    • Sahimi, M. & Arbabi, S., 1996. Scaling laws for fracture of heterogeneous materials and rock, Phys. Rev. Lett., 77, 3689-3692.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 3689-3692
    • Sahimi, M.1    Arbabi, S.2
  • 51
    • 0000139145 scopus 로고    scopus 로고
    • Complex exponents and log-periodic corrections in frustrated systems
    • Saleur, H. & Sornette, D., 1996. Complex exponents and log-periodic corrections in frustrated systems, J. Phys. I. France, 6, 327-355.
    • (1996) J. Phys. I. France , vol.6 , pp. 327-355
    • Saleur, H.1    Sornette, D.2
  • 52
    • 0000775533 scopus 로고    scopus 로고
    • Discrete scale invariance, complex fractal dimensions, and log-periodic fluctuations in seismicity
    • Saleur, H., Sammis, C.G. & Sornette, D., 1996a. Discrete scale invariance, complex fractal dimensions, and log-periodic fluctuations in seismicity, J. geophys. Res., 101, 17 661-17 677.
    • (1996) J. Geophys. Res. , vol.101 , pp. 17661-17677
    • Saleur, H.1    Sammis, C.G.2    Sornette, D.3
  • 54
    • 84956083304 scopus 로고
    • Self-organized criticality and earthquakes
    • Sornette, A. & Sornette, D., 1989. Self-organized criticality and earthquakes, Europhys. Lett., 9, 197-202.
    • (1989) Europhys. Lett. , vol.9 , pp. 197-202
    • Sornette, A.1    Sornette, D.2
  • 55
    • 0000160958 scopus 로고
    • Sweeping of an instability: An alternative to self-organized criticality to get powerlaws without parameter tuning
    • Sornette, D., 1994. Sweeping of an instability: an alternative to self-organized criticality to get powerlaws without parameter tuning, J. Phys. I. France, 4, 209-221.
    • (1994) J. Phys. I. France , vol.4 , pp. 209-221
    • Sornette, D.1
  • 56
    • 0000190329 scopus 로고
    • Complex critical exponents from renormalization group theory of earthquakes: Implications for earthquake predictions
    • Sornette, D. & Sammis, C.G., 1995. Complex critical exponents from renormalization group theory of earthquakes: Implications for earthquake predictions, J. Phys. I. France, 5, 607-619.
    • (1995) J. Phys. I. France , vol.5 , pp. 607-619
    • Sornette, D.1    Sammis, C.G.2
  • 57
    • 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) Geophys. J. Int. , vol.124 , pp. 149-158
    • Varnes, D.J.1    Bufe, C.2
  • 58
    • 4243414378 scopus 로고
    • Real-space renormalization scheme for reaction-limited cluster aggregation
    • Warren, P.B., 1991. Real-space renormalization scheme for reaction-limited cluster aggregation, Phys. Rev. A, 44, 7991-7999.
    • (1991) Phys. Rev. A , vol.44 , pp. 7991-7999
    • Warren, P.B.1
  • 59
    • 0347511526 scopus 로고
    • Shock waves in layered systems
    • Zababakhin, E.I., 1965. Shock waves in layered systems, J. Exp. Theoret. Phys., 49, 642-646.
    • (1965) J. Exp. Theoret. Phys. , vol.49 , pp. 642-646
    • Zababakhin, E.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.