MODERN TRENDS IN MECHANICS OF TECTONIC EARTHQUAKES

Authors

  • I.A. Panteleev Институт механики сплошных сред УрО РАН
  • O.B. Naimark Институт механики сплошных сред УрО РАН

DOI:

Keywords:

models of preparation of earthquakes, mechanic of earthquake focus, system approach, precursors of earthquakes, collective effects

Abstract

The paper submits a review of models of preparation of a tectonic earthquake, based on approaches from various branches of knowledge: mechanics of a deformable body, statistical physics, mathematical statistics, and nonlinear physics. Special attention is paid to the ideology of constructing models through the prism of predicting earthquakes. Merits and demerits of existing models and current trends of their development are discussed.

Supporting Agencies
Работа выполнена при финансовой поддержке Программы Президиума РАН «Фундаментальные проблемы механики взаимодействий в технических и природных системах» № 012-П-1-1018 и гранта Президента РФ по государственной поддержке молодых Российских ученых-кандидатов наук (МК-6741.2013.1).

Author Biographies

  • I.A. Panteleev, Институт механики сплошных сред УрО РАН
    кандидат физико-математических наук, научный сотрудник
  • O.B. Naimark, Институт механики сплошных сред УрО РАН
    доктор физико-математических наук, заведующий лабораторией

References

  1. Botvina L.R., Barenblatt G.I. Avtomodel’nost’ nakoplenia povrezdaemosti // Problemy procnosti. - 1985. - No 12. - S. 17-24.
  2. Brejs V.F., Mackin V.I., Ditrih Dz.H., Sobolev G.A. Dve modeli ob"asnenia predvestnikov zemletrasenij // Sbornik sovetsko-amerikanskih rabot po prognozu zemletrasenij. - Dusanbe - M.: 1976. - T. 1. - Kn. 2. - S. 9-15.
  3. Gavrilov V.A. Fiziceskie priciny sutocnyh variacij urovna geoakusticeskoj emissii // DAN. - 2007. - T. 414. - No 3. - S. 389-392.
  4. Gavrilov V.A., Panteleev I.A., Rabinin G.V. Fiziceskaa osnova effektov elektromagnitnogo vozdejstvia na intensivnost’ geoakusticeskih processov // Fizika Zemli. - 2014. - No 1. - S. 89-103.
  5. Gzovskij M.V. Osnovy tektonofiziki. - M.: Nauka, 1975. - 535 s.
  6. Gol’din S.V. Dilatansia, pereupakovka i zemletrasenia // Fizika Zemli. - 2004. - No 10. - S. 37-54.
  7. Gol’din S.V., Usin V.I., Ruzic V.V., Smekalkin O.P. Medlennye dvizenia - mif ili real’nost’ // Fiziceskie osnovy prognozirovania razrusenia gornyh porod: materialy 9-j mezdunar. skoly- seminara. - Krasnoarsk, 2002. - S. 213-220.
  8. Deserevskij A.V., Lukk A.A., Sidorin A.A. Fluktuacia geofiziceskih polej i prognoz zemletrasenij // Fizika Zemli. - 2003. - No 4. - S. 3-20.
  9. Dobrovol’skij I.P. Gidrodinamiceskie avlenia // Fizika Zemli. - 2005. - No 1. - S. 89-96.
  10. Dobrovol’skij I.P. Gravitacionnye predvestniki tektoniceskogo zemletrasenia // Fizika Zemli. - 2005. - No 4. - S. 23-28.
  11. Dobrovol’skij I.P. Matematiceskaa teoria podgotovki i prognoza tektoniceskogo zemletrasenia. - M.: FIZMATLIT, 2009. - 240 s.
  12. Zurkov S.N. Kineticeskaa koncepcia procnosti tverdyh tel // Vestnik AN SSSR. - 1968. - Vyp. 3. - S. 46-52.
  13. Kissin I.G. O sistemnom podhode k probleme prognoza zemletrasenij // Fizika Zemli. - 2013. - No 4. - S. 145-160.
  14. Kissin I.G. Fluidy v zemnoj kore: geofiziceskie i tektonofiziceskie aspekty. - M.: Nauka, 2009. - 328 s.
  15. Kocaran G.G. Razlomnaa zona kak nelinejnaa mehaniceskaa sistema // Fiziceskaa mezomehanika. - 2010. - T. 13. Spec. vypusk. - S. 5-17.
  16. Kocaran G.G., Markov V.K., Markov D.V., Pernik L.M. Eksperimental’noe issledovanie zakonomernostej deformirovania maloprocnyh tonkih sloev geomaterialov // Fiziceskaa mezomehanika. - 2011. - T. 14. - No 6. - S. 63-70.
  17. Kurdumov S.P. Rezimy s obostreniem. Evolucia idei / pod red. G.G. Malineckogo. 2-e izd. - M.: FIZMATLIT, 2006. - 312 s.
  18. Kurdumov S.P., Malineckij G.G. Sinergetika - teoria samoorganizacii. Idei, metody, perspektivy. - M.: Znanie, 1983. - 64 s.
  19. Levin B.V., Sasorova E.V., Kim C.U., Korovin M.E., Malasenko A.E., Savockin P.V., Tihonov I.N. Zemletrasenie 17(18) avgusta 2006 g. na Sahaline i pervaa realizacia kompleksnogo prognoza // DAN. - 2007. - T. 412. - No 3. - S. 396-400.
  20. Leonov M.G. Zony koncentrirovannoj deformacii i vnutriplitnaa delimost’ zemnoj kory i litosfery // Tez. dokl. Patogo Mezdunar. simpoziuma <>, Biskek, 19-24 iuna 2011. - Biskek, 2011. - S. 214.
  21. Lubusin A.A. Sejsmiceskaa katastrofa v Aponii 11 marta 2011 g.: dolgosrocnyj prognoz po nizkocastotnym mikrosejsmam // Geofiziceskie pribory i biosfera. - 2011. - T. 10. - No 1. - S. 9-35.
  22. Lubusin A.A. Analiz mikrosejsmiceskogo suma dal vozmoznost’ ocenit’ magnitudu, vrema i mesto sejsmiceskoj katastrofy v Aponii 11 marta 2011 g. // Nauka i tehnologiceskie razrabotki. - 2011. - T. 90. - No 1. - S. 3-12.
  23. Makarov P.V. Matematiceskaa teoria evolucii nagruzaemyh tverdyh tel i sred // Fiziceskaa mezomehanika. - 2008. - T. 11. - No3. - S. 19-35.
  24. Makarov P.V. Nagruzaemyj material kak nelinejnaa dinamiceskaa sistema. Problema modelirovania // Fiziceskaa mezomehanika. - 2005. - T. 8. - No6. - S. 39-56.
  25. Makarov P.V. Evolucionnaa priroda blocnoj organizacii geomaterialov i geosred. Universal’nyj kriterij fraktal’noj delimosti // Geologia i geofizika. - 2007. - T. 48. - No 7. - S. 724-746.
  26. Mackin V.I. Processy podgotovki zemletrasenij. - M.: Nauka, 1978. - 232 s.
  27. Najmark O.B. O deformacionnyh svojstvah i kinetike razrusenia tverdyh tel s mikrotresinami // Prep. O termodinamike deformirovania i razrusenia tverdyh tel s mikrotresinami. - Sverdlovsk, 1982. - S. 3-34.
  28. Panteleev I.A, Plehov O.A., Najmark O.B. Nelinejnaa dinamika struktur obostrenia v ansamblah defektov kak mehanizm formirovania ocagov zemletrasenia // Fizika Zemli. - 2012. - No 6. - S. 43-55.
  29. Panteleev I.A. Kollektivnye effekty povedenia defektov geosredy pri formirovanii potencial’nogo istocnika zemletrasenia // Vestnik Nizegorodskogo universiteta im. N.I. Lobacevskogo. - 2011. - No4 (2). - S. 508-510.
  30. Panteleev I.A., Plehov O.A., Najmark O.B. Nekotorye avtomodel’nye zakonomernosti razvitia povrezdennosti pri kvazihrupkom razrusenii tverdyh tel // Vycislitel’naa mehanika splosnyh sred. - 2011. - T. 4 - No 1. - S. 90-100.
  31. Rebeckij U.L. Sovremennoe sostoanie teorij prognoza zemletrasenij. Rezul’taty ocenki prirodnyh naprazenij i novaa model’ ocaga zemletrasenij // Problemy tektonofiziki. K sorokaletiu sozdania M.V. Gzovskim laboratorii tektonofiziki v IFZ RAN. - M.: IFZ RAN, 2008. - S. 359-395.
  32. Rebeckij U.L. Novye dannye o prirodnyh naprazeniah v oblasti podgotovki sil’nogo zemletrasenia. Model’ ocaga zemletrasenia // Geofiziceskij zurnal. - 2007. - T 29. - No 6. - S. 96-115.
  33. Rebeckij U.L. Ocenka velicin naprazenij v metode kataklasticeskogo analiza razryvov // DAN. - 2009. - T. 428 - No 3. - S. 397-402.
  34. Rebeckij U.L. Razvitie metoda kataklasticeskogo analiza skolov dla ocenki velicin tektoniceskih naprazenij // Doklady RAN. - 2003. - T. 3. - No 2. - S. 237-241.
  35. Rebeckij U.L. Sostoanie i problemy teorii prognoza zemletrasenij. Analiz osnov s pozicii determinirovannogo podhoda // Geofiziceskij zurnal. - 2007. - T. 29. - No 4. - S. 92-110.
  36. Rebeckij U.L. Tretij i cetvertyj etapy rekonstrukcii naprazenij v metode kataklasticeskogo analiza sdvigovyh razryvov // Geofiziceskij zurnal. - 2009. - T. 31. - No 2. - S. 93-106.
  37. Rihter C.F. Elementarnaa sejsmologia. - M.: Inostr. lit., 1963. - 670 s.
  38. Rodkin M.V. Model’ sejsmiceskogo rezima kak sovokupnosti epizodov lavinoobraznoj relaksacii, voznikausih na mnozestve metastabil’nyh podsistem // Fizika Zemli. - 2011. - No 11. - S. 18-26.
  39. Sadovskij M.A. Avtomodel’nost’ geodinamiceskih processov // Vestn. AN SSSR. - 1986. - No 8. - S. 3-11.
  40. Sadovskij M.A., Pisarenko V.F. Sejsmiceskij process v blokovoj srede. - M.: Nauka, 1991. - 96 s.
  41. Seminskij K.Z. Tektonofiziceskij analiz vnutrennej struktury razlomnyh zon // Sovremennaa tektonofizika. Metody i rezul’taty: Materialy pervoj molodeznoj skoly seminara. - M., 2009. - S. 258-276.
  42. Sobolev G.A., Tupkin U.S. Analiz processa vydelenia energii pri formirovanii magistral’nogo razryva v laboratornyh issledovaniah po razruseniu gornyh porod i pered sil’nymi zemletraseniami // Fizika Zemli. - 2000. - No 2. - S 44-55.
  43. Tihonov I.N., Kim C.U. Uspesnyj prognoz Nevel’skogo zemletrasenia 2 avgusta 2007 g. (MLH=6,2) na uge o-va Sahalin // DAN. - 2008. - T. 420. - No 4. - S. 532-536.
  44. Tupkin U.S. Dinamika formirovania potencial’nogo ocaga zemletrasenia // Fizika Zemli. - 2004. - No 3. - S. 26-33.
  45. Tupkin U.S. Formirovanie potencial’nogo ocaga zemletrasenia: analogia s fazovym perehodom // Vycislitel’naa sejsmologia. - 2004. - No 35. - S. 296-311.
  46. Ulomov V.I., Mavasev B.Z. O predvestnikah sil’nogo tektoniceskogo zemletrasenia // DAN SSSR. - 1967. - T. 176. - No 2. - S. 319-323.
  47. Fedotov S.A. Dolgosrocnyj sejsmiceskij prognoz dla Kurilo-Kamcatskoj dugi - M.: Nauka, 2005. - 301 s.
  48. Serman S.I., Seminskij K.Z., Ceremnyh A.V. Destruktivnye zony i razlomno-blokovye struktury Central’noj Azii // Tihookeanskaa geologia. - 1999. - T. 18. - No 2. - S. 41-53.
  49. Eselbi Dz. Kontinual’naa teoria dislokacij. - M.: IL, 1963. - 248 s.
  50. Akishin P.G., Altaisky M.V., Antoniou I., Budnik A.D., Ivanov V.V. Burridge-Knopoff model and self- similarity // Chaos, Solitons and Fractals. - 2000. - Vol. 11. - P. 207-222.
  51. Anderson D.L., Witcomb J.H. The Dilatancydiffusion model of earthquake prediction // Proc. Conf. of tectonic problems of the San Andreas fault systems. - Stanf. Univ. Publ., 1973. - XIII. - P. 417.
  52. Bakun W.H., Aagaard B., Dost B., Ellsworth W.L., Hardebeck J.L., Harris R.A., Ji C., Johnston M.J.S., Langbein J., Lienkaemper J.J., Michael A.J., Murray J.R., Nadeau R.M., Reasenberg P.A., Reichle M.S., Roeloffs E.A., Shakal A., Simpson R.W., Waldhauser F. Implications for prediction and hazard assessment from the 2004 Parkfild earthquake // Nature. - 2005. - Vol. 437. - No 13. - P. 969-974.
  53. Benioff H. Earthquakes and rock creep. T. 1; Creep characteristics of rocks and the origin of aftershocks // Bull. Seismol. Soc. America. - 1951. - Vol. 41. - No 1. - P. 31-40.
  54. Ben-Zion Y., Rice J.R. Dynamic simulations of slip on a smooth fault in a elastic solid // Journal of geophysical research. - 1997. - Vol. 102. - No B8. - P. 17771-17784.
  55. Brace W.F., Byerlee J.D. Stick-slip as a mechanism for earthquake // Science. - 1966. - Vol. 153. - P. 990-992.
  56. Burridge R., Knopoff L. Model and theoretical seismicity // Bull. Seism. Soc. Am. -1967. - Vol.57. - No 3. - P. 341-372.
  57. Carlson J.M., Langer J.S., Shaw B.E., Tang C. Intrinsic properties of a Burridge-Knopoff model of an earthquake fault // Phys. Rev. A. - 1991. - Vol. 44. - P. 884-897.
  58. Clancy I., Corcoran D. Criticality in the Burridge-Knopoff model // Phys. Rev. E. - 2005. - V. 71. - P. 046124.
  59. Dieterich J.H. Time dependent friction in rocks // J. Geophys. Res. - 1972. - Vol. 77. - P. 790-806.
  60. Fisher D. Sliding charge density waves as a dynamic critical phenomenon // Phys. Rev. - 1985. - B31. - P. 1396-1427.
  61. Gavrilov V.A., Panteleev I.A., Ryabinin G.V., Morozova Yu.V. Modulating impact of electromagnetic radiation on geoacoustic emission of rocks // Russian Journal of Earth Science. - 2013. - Vol. 13. - ES100. doi:10.2205/2013ES000527.
  62. Geller R. Earthquake prediction: critical review // Geophys. J. Int. - 1997. - Vol. 131. - P. 425-450.
  63. Kagan Y.Y. Observational evidence for earthquakes as nonlinear dynamic process // Physica D. - 1994. - Vol. 77. - No 4. - P. 160-192.
  64. Kagan Y. Likelihood analysis of earthquake catalogues // Journal of Geophysical Research. - 1991. - Vol. 106. - Ser. B7. - P. 135-148.
  65. Kissin I.G. Middle- and short-term precursors of earthquakes and their factors determining reliability // Journal of earthquake prediction research. - 1997. - Vol. 6. - No 3. - P. 367-386.
  66. Knopoff L., Landoni J.A., Abinante M.S. Dynamical model of an earthquake fault with localization // Phys. Rev. A. - 1992. - Vol. 46. - P. 7445.
  67. Kostrov B.V. Self-similar problems of propagation of shear cracks // J. Appl. Mech. - 1964. - Vol. 28. - P. 1077-1087.
  68. Langbein J., Borchrdt R., Dreger D., Fletcher J., Hardebeck J.L., Hellweg M., Johnston M.J.S., Murray J.R., Nadeau R.M., Remer J., Treiman J.A. Preliminary report on the 28 September 2004 M 6.0 Parkfield, California earthquake // Seism. R. Let. - 2005. - Vol. 76. - No 1. - P. 10-26.
  69. Lindh A.G. Success and failure at Parkfield // Seism. R. Let. - 2005. - Vol. 76. - No 1. - P. 3-6.
  70. Lyakhovsky V.A., Ben-Zion Y., Agnon A. Distributed damage, faulting, and friction // J. Geophys. Res. - 1997. - Vol. 102. - P. 27635-27649.
  71. Lyakhovsky V.A., Myasnikov V.P. On behavior of viscoelastic cracked solid // Phys. Solid Earth. -1985. - Vol. 4. - P. 28-35.
  72. Muratov C.B. Traveling wave solutions in the Burridge-Knopoff model // Phys. Rev. E. - 1999. - Vol. 59. - P. 3847.
  73. Musmeci, F., Vere-Jones D. A variable-grid algorithm for smoothing clustered data // Biometrics. - 1986. - Vol. 42. - P. 483-494.
  74. Ogata Y. Statistical models for earthquake occurrences and residual analysis for point processes // Journal of the American Statistical Association. - 1988. - Vol. 83. - P. 9-27.
  75. Ogata Y., Zhuang J. Space-time ETAS models and an improved extension // Tectonophysics. - 2006. - Vol. 413. - No 1-2. - P. 13-23.
  76. Olami Z., Feder S., Christensen K. Self-Organized Criticality in a Continuous, Nonconservative Cellular Automaton Modeling Earthquakes // Physical Review letters. - 1992. - Vol. 68. - No 8. - P. 1244-1247.
  77. Panteleev I.A., Plekhov O.A., Naimark O.B. Model of geomedia containing defects: collective effects of defects evolution during formation of potential earthquake foci // Geodynamics & Tectonophysics. -2013. - Vol. 4. - No 1. - P. 37-51.
  78. Rathbun S.L. Modeling marked spatio-temporal point patterns // Bulletin of the International Statistical Institute. - 1993. - Vol. 55. Book 2. - P. 379-396.
  79. Reid H.F. The California Earthquake of April 16 1906 // Vol. 2. The Mechanics of the Earthquakes. The Carnegie Inst. - Washington, 1910.
  80. Rice J.R. Spatio-temporal complexity of slip on a fault // J. Geophys. Res. - 1993. - Vol. 98. - P. 9885-9907.
  81. Ruina A.L. Slip instability and state variable friction laws // J. Geophys. Res. - 1983. - Vol. 88. - P. 10359-10370.
  82. Rundle J.B. A physical model for earthquakes, 1. Fluctuation and interactions // J. Geophys. Res. - 1988. - Vol. 93. - P. 6237-6254.
  83. Rundle J.B. A physical model for earthquakes. 3. Thermodynamic approach and its relation to nonclassical theories of nucleation // J. Geophys. Res. - 1989. -Vol. 94. - P. 2839-2855.
  84. Rundle J.B., Gross S., Klein W, Ferguson C., Turscotte D.L. The statistical mechanics of earthquakes // Tectonophysics. - 1997. - Vol. 277. - P. 147-164.
  85. Rundle J.B., Klein W. Scaling and critical phenomena in a cellar automaton slider block model for earthquakes // J. Stat. Sol. - 1993. - Vol. 72. - P. 405-412.
  86. Saichev A., Sornette D. Distribution of the Largest Aftershocks in Branching Models of Triggered Seismicity: Theory of the Universal Bath’s law // Phys. Rev. E - 2005. - Vol. 71. - P. 056127.
  87. Saichev A., Sornette D. Power law distribution of seismic rates: theory and data // Eur. J. Phys. B. - 2006. - Vol. 49. - P. 377-401.
  88. Sherman S.I. Destruction of the lithosphere: Fault-block divisibility and its tectonophysical regularities // Geodynamics & Tectonophysics. - 2012. - Vol. 3. - No 4. - P. 315-344.
  89. Sornette D. Critical phenomena in natural sciences. Chaos, Fractals, Self-Organization and Disorder: Concepts and Tools // Springer Ser. Synerg. Springer-Verlag. Heidelberg, 2000. - 423 p.
  90. Sornette D., Werner M.J. Constraits on the size of the smallest triggering earthquake from the ETAS model, Bath’s law and observed aftershock sequences // J. Geophys. Res. - 2005. - Vol. 110. - P. B08304.
  91. Turcotte D.L., Newman W.I., Shcherbakov R. Micro and macroscopic models of rock fracture // Geophys. J. Int. - 2003. - Vol. 152. - No 3. - P. 718-728.
  92. Tyupkin Yu.S., Di Giovambattista R. Correlation length as an indicator of critical point behavior prior to a large earthquake // EPSL. - 2005. - Vol. 230. - P.85-96.
  93. Varnes D.J. Predicting earthquakes by analyzing accelerating precursory seismic activity // PAGEOPH. - 1989. - Vol. 130. - No 4. - P. 661-68669.
  94. Zhuang, J., Ogata Y., Vere-Jones D. Stochastic declustering of space-time earthquake occurrences // Journal of the American Statistical Association. - 2002. - Vol. 97. - No 3. - P. 369-380.
  95. Zoller G., Hainzl S., Kurths J. Observation of growing correlation length as an indicator for critical point behavior prior to large earthquakes // J. Geophys. Res. - 2001. - Vol. 106. - P. 2167-2176.

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Published

2015-01-12

Issue

No. 3 (2014)

Section

Research: theory and experiment

How to Cite

Panteleev, I. ., & Naimark, O. . (2015). MODERN TRENDS IN MECHANICS OF TECTONIC EARTHQUAKES. Perm Federal Research Centre Journal, 3, 44-62. https://journal.permsc.ru/index.php/pscj/article/view/PSCJ2014n3p3