The theoretical discovery of slow strain (tectonic) waves, the so-called strain waves in the Earth, served as a motivation to develop physical backgrounds of the mathematical theory of propagation of these waves and to search for methods of their experimental detection. For fifty years, scientists from different countries in different regions of the Earth, using direct and indirect methods, discovered the migration of crustal deformation and revealed its wave nature, and, therefore, proved the reality of the existence of strain waves of the Earth. This overview briefly describes the history of the development of the concept of strain waves o n the Earth, the observation methods and properties of strain waves , and the main types of geological structures generating these waves. The most prominent results of the theoretical, laboratory , and in - situ observations of slow strain migration, including slow earthquakes and periodic Episodic Tre mor and Slow (ETS) slip effects, are presented. In the near future, studies of slow strain waves may lead to a fundamental revision of the current concepts about the physics of the seismic process.
Richter, E.F. (1958) Elementary Seismology. W.H. Freeman and Company, New York, 768 p.
Bykov, V.G. (2008) Stick-Slip and Strain Waves in the Physics of Earthquake Rupture: Experiments and Models. Acta Geophysica, 56, 270-285. https://doi.org/10.2478/s11600-008-0002-5
Elsasser, W.M. (1969) Convection and Stress Propagation in the Upper Mantle. In: Runcorn, S.K., Ed., The Application of Modern Physics to the Earth and Planetary Interiors, Wiley, New York, 223-246.
Kasahara, K. (1979) Migration of Crustal Deformation. Tectonophysics, 52, 329-341. https://doi.org/10.1016/0040-1951(79)90240-3
Bella, F., Biagi, P.F., Caputo, M., Della Monica, G., Ermini, A., Manjgaladze, P., Sgrigna, V. and Zilpimian, D. (1990) Very Slow-Moving Crustal Strain Disturbances. Tectonophysics, 179, 131-139. https://doi.org/10.1016/0040-1951(90)90362-C
Harada, M., Furuzawa, T., Teraishi, M. and Ohya, F. (2003) Temporal and Spatial Correlations of the Strain Field in Tectonic Active Region, Southern Kyusyu, Japan. Journal of Geodynamics, 35, 471-481. https://doi.org/10.1016/S0264-3707(03)00008-5
Kuz’min, Y.O. (2012) Deformation Autowaves in Fault Zones. Izvestiya, Physics of the Solid Earth, 48, 1-16. https://doi.org/10.1134/S1069351312010089
Reuveni, Y., Kedar, S., Moore, A. and Webb, F. (2014) Analyzing Slip Events along the Cascadia Margin Using an Improved Subdaily GPS Analysis Strategy. Geophysical Journal International, 198, 1269-1278. https://doi.org/10.1093/gji/ggu208
Yoshioka, S., Matsuoka, Y. and Ide, S. (2015) Spatiotemporal Slip Distributions of Three Long-Term Slow Slip Events Beneath the Bungo Channel, Southwest Japan, Inferred from Inversion Analyses of GPS Data. Geophysical Journal International, 201, 1437-1455. https://doi.org/10.1093/gji/ggv022
Kaftan, V.I. and Tatarinov, V.N. (2022) Registration of Slow Deformation Waves according to GNSS Observations. Doklady Earth Sciences, 505, 489-495. https://doi.org/10.1134/S1028334X22070091
Barabanov, V.L., Grinevsky, A.O., Kissin, I.G. and Milkis, M.R. (1988) Manifestations of Strain Waves in the Hydrogeological and Seismic Regimes of the Zone of the Frontal Kopetdag Fault. Izvestiya Akademii Nauk SSSR, Seriya Fizika Zemli, 5, 21-31. (In Russian)
Kissin, I.G. (2008) Hydrogeological Effects of Strain Waves in the Crust. Geofizicheskie Issledovaniya, 9, 43-52. (In Russian)
Bykov, V.G. (2005) Strain Waves in the Earth: Theory, Field Data, and Models. Russian Geology and Geophysics, 46, 1158-1170.
Mogi, K. (1968) Migration of Seismic Activity. Bulletin of the Earthquake Research Institute, 46, 53-74.
Vilkovich, E.V., Guberman, S.A. and Keilis-Borok, V.I. (1974) Waves of Tectonic Strain in Large Faults. Doklady Akademii Nauk SSSR, 219, 77-80. (In Russian)
Malamud, A.S. and Nikolaevsky, V.N. (1989) Earthquake Cycles and Tectonic Waves. Donish, Dushanbe, 142 p. (In Russian)
Nevsky, M.V., Artamonov, A.M. and Riznichenko, O.Yu. (1991) Strain Waves and Seismicity Energy. Doklady Akademii Nauk SSSR, 318, 316-320. (In Russian)
Nersesov, I.L., Lukk, A.A., Zhuravlev, V.I. and Galaganov, O.N. (1990) On Propagation of Strain Waves in the Crust of the Southern Regions of Central Asia. Izvestiya Akademii Nauk SSSR, Seriya Fizika Zemli, 5, 102-112. (In Russian)
Barabanov, V.L, Grinevsky, A.O., Belikov, V.M. and Ishankuliev, G.A. (1994) On the Migration of Crustal Earthquakes. In: Nikolaev, A.V., Ed., Dynamic Processes in Geophysical Medium, Nauka, Moscow, 149-167. (In Russian)
Kasahara, K. (1973) Earthquake Fault Studies in Japan. Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 274, 287-296. https://doi.org/10.1098/rsta.1973.0055
King, C.-Y., Nason, R.D. and Tocher, D. (1973) Kinematics of Fault Creep. Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 274, 355-360. https://doi.org/10.1098/rsta.1973.0063
Frank, F.C. (1973) Dislocation Models for Fault Creep Processes. Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 274, 351-354. https://doi.org/10.1098/rsta.1973.0062
Isacks, B., Oliver, J. and Sykes, L.R. (1968) Seismology and the New Global Tectonics. Journal of Geophysical Research, 73, 5855-5899. https://doi.org/10.1029/JB073i018p05855
Bott, M.H.P. and Dean, D.S. (1973) Stress Diffusion from Plate Boundaries. Nature, 243, 339-341. https://doi.org/10.1038/243339a0
Rice, J.R. (1980) The Mechanics of Earthquake Rupture. In: Dziewonski, A.M. and Boschi, E., Eds., Physics of the Earth’s Interior, Italian Physical Society, Bologna, 555-649.
Nikolaevsky, V.N. (1983) Mechanics of Geomaterials and Earthquakes. In: Cherepanov, G.P., Ed., Science and Technics Results, Mechanics of Deformed Solid Body, Vol. 15, VINITI, Moscow, 149-230. (In Russian)
Nikolaevsky, V.N. and Ramazanov, T.K. (1985) Theory of Fast Tectonic Waves. Applied Mathematics and Mechanics, 49, 462-469. (In Russian) https://doi.org/10.1016/0021-8928(85)90035-8
Savage, J.C. (1971) A Theory of Creep Waves Propagating along a Transform Fault. Journal of Geophysical Research, 76, 1954-1966. https://doi.org/10.1029/JB076i008p01954
Ida, Y. (1974) Slow-Moving Deformation Pulses along Tectonic Faults. Physics of the Earth and Planetary Interiors, 9, 328-337. https://doi.org/10.1016/0031-9201(74)90060-0
Nikolaevsky, V.N. (1995) Mathematical Modeling of Solitary Deformation and Seismic Waves. Doklady Akademii Nauk, 341, 403-405.
Nikolaevskiy, V.N. (1996) Geomechanics and Fluidodynamics. Kluwer, Dordrecht, 349 p.
Kuz’min, Y.O. (1989) Modern Geodynamics of Fault Zones in Sedimentary Basins, and Earthquake Preparation Processes. In: Sadovsky, M.A., Ed., Earthquake Forecasting, Vol. 11, Donish, Moscow, Dushanbe, 52-60. (In Russian)
Spirtus, V.B. (2008) Investigation of Geosolitons in the Crimea-Black Sea Region in the Models of FitzHugh-Nagumo Type. Geophysical Journal, 30, 91-100. (In Russian)
Zykov, V.S. (1984) Modeling of Wave Processes in Excitable Media. Nauka, Moscow, 168 p. (In Russian)
Vasil’ev, V.A., Romanovskii, Y.M. and Yakhno, V.G. (1979) Autowave Processes in Distributed Kinetic Systems. Soviet Physics Uspekhi, 22, 615-639. https://doi.org/10.1070/PU1979v022n08ABEH005591
Elsasser, W.M. (1971) Two-Layer Model of Upper-Mantle Circulation. Journal of Geophysical Research, 76, 4744-4753. https://doi.org/10.1029/JB076i020p04744
Bird P. (2003) An Updated Digital Model of Plate Boundaries. Geochemistry, Geophysics, Geosystems, 4, Article No. 1027. https://doi.org/10.1029/2001GC000252
Kreemer, C., Blewitt, G. and Klein, E.C. (2014) A Geodetic Plate Motion and Global Strain Rate Model. Geochemistry, Geophysics, Geosystems, 15, 3849-3889. https://doi.org/10.1002/2014GC005407
Baranov, B.V. and Lobkovsky, L.I. (1980) Shallow-Focus Seismicity in the Rear Area of the Kuril Island Arc and Its Relation to the Zavaritsky-Benioff Zone. Doklady Akademii Nauk SSSR, 255, 67-71. (In Russian)
Baranov, B.V., Vikulin, A.V. and Lobkovsky, L.I. (1989) Shallow-Focus Seismicity in the Rear Area of the Kuril-Kamchatka Island Arc and Its Relation to the Strongest Earthquakes in the Underthrust Zone. Vulkanologiya i Seismologiya, 6, 73-84. (In Russian)
Rydelek, P.A. and Sacks, I.S. (1988) Asthenospheric Viscosity Inferred from Correlated Land-Sea Earthquakes in North-East Japan. Nature, 336, 234-237. https://doi.org/10.1038/336234a0
Press, F. and Allen, C. (1995) Patterns of Seismic Release in the Southern California region. Journal of Geophysical Research: Solid Earth, 100, 6421-6430. https://doi.org/10.1029/95JB00316
Pollitz, F.F., Burgmann, R. and Romanowicz, B. (1998) Viscosity of Oceanic Asthenosphere Inferred from Remote Triggering of Earthquakes. Science, 280, 1245-1249. https://doi.org/10.1126/science.280.5367.1245
Kuznetsov, I.V. and Keilis-Borok, V.I. (1997) The Interrelation of Earthquakes of the Pacific seismic Belt. Doklady Akademii Nauk, 355, 869-873.
Molchanov, O.A. and Uyeda, S. (2009) Upward Migration of Earthquake Hypocenters in Japan, Kurile-Kamchatka and Sunda Subduction Zones. Physics and Chemistry of the Earth, Parts A/B/C, 34, 423-430. https://doi.org/10.1016/j.pce.2008.09.011
Lehner, F.K., Li, V.C. and Rice, J.R. (1981) Stress Diffusion along Rupturing Plate Boundaries. Journal of Geophysical Research: Solid Earth, 86, 6155-6169. https://doi.org/10.1029/JB086iB07p06155
Liu, M., Stein, S. and Wang, H. (2011) 2000 Years of Migrating Earthquakes in North China: How Earthquakes in Midcontinents Differ from Those at Plate Boundaries. Lithosphere, 3, 128-132. https://doi.org/10.1130/L129.1
Takahashi, K. and Seno, T. (2005) Diffusion of Crustal Deformation from Disturbances Arising at Plate Boundaries—A Case of the Detachment Beneath the Izu Peninsula, Central Honshu, Japan. Earth, Planets and Space, 57, 935-941. https://doi.org/10.1186/BF03351873
Albarello, D. and Bonafede, M. (1990) Stress Diffusion across Laterally Heterogeneous Plates. Tectonophysics, 179, 121-130. https://doi.org/10.1016/0040-1951(90)90361-B
Dragoni, M., Bonafede, M., and Boschi, E. (1982) Stress Relaxation in the Earth and Seismic Activity. La Rivista del Nuovo Cimento, 5, 1-34. https://doi.org/10.1007/BF02740828
Birger, B.I. (1989) Propagation of Stresses in the Earth’s Lithosphere. Izvestiya Akademii Nauk SSSR, Seriya Fizika Zemli, 12, 3-18. (In Russian)
Melosh, H.J. (1976) Nonlinear Stress Propagation in the Earth’s Upper Mantle. Journal of Geophysical Research, 81, 5621-5632. https://doi.org/10.1029/JB081i032p05621
Rydelek, P.A. and Sacks, I.S. (1990) Asthenospheric Viscosity and Stress Diffusion: A Mechanism to Explain Correlated Earthquakes and Surface Deformations in NE Japan. Geophysical Journal International, 100, 39-58. https://doi.org/10.1111/j.1365-246X.1990.tb04566.x
Mitlin, V.S. and Nikolaevsky, V.N. (1990) Nonlinear Diffusion of Tectonic Stresses. Doklady Akademii Nauk SSSR, 315, 1093-1096. (In Russian)
Malin, P.E. and Alvarez, M.G. (1992) Stress Diffusion along the San Andreas Fault at Parkfield, California. Science, 256, 1005-1007. https://doi.org/10.1126/science.256.5059.1005
Vilkovich, E.V. and Shnirman, M.G. (1982) Waves of Migration of Epicenters (Examples and Models). In: Keilis-Borok, V.I. and Levshin, A.L., Eds., Mathematical Models of the Earth’s Structure and Earthquake Prediction. Computational Seismology, 14, 27-37. (In Russian)
Liu, H.-P., Anderson, D.L. and Kanamori, H. (1976) Velocity Dispersion due to Anelasticity; Implications for Seismology and Mantle Composition. Geophysical Journal of the Royal Astronomical Society, 47, 41-58. https://doi.org/10.1111/j.1365-246X.1976.tb01261.x
Caputo, M. (1979) Which Is the Correct Stress Strain Relation for the Anelasticity of the Earth’s Interior? Geophysical Journal of the Royal Astronomical Society, 59, 227-230. https://doi.org/10.1111/j.1365-246X.1979.tb02563.x
Nikolaevsky, V.N. and Ramazanov, T.K. (1986) Generation and Propagation of Tectonic Waves along Deep Faults. Izvestiya Akademii Nauk SSSR, Seriya Fizika Zemli, 10, 3-13. (In Russian)
Nevsky, M.V., Morozova, L.A. and Fyuz, G.S. (1989) Long-Period Deformation Waves. In: Sadovsky, M.A., Ed., Discrete Properties of Geophysical Medium, Nauka, Moscow, 18-33. (In Russian)
Barenblatt, G.I., Keilis-Borok, V.I. and Monin, A.S. (1983) Filtration Model of the Earthquake Sequence. Doklady Akademii Nauk SSSR, 269, 831-834.
Revil, A. and Cathles, L.M. (2002) Fluid Transport by Solitary Waves along Growing Faults: A Field Example from the South Eugene Island Basin, Gulf of Mexico. Earth and Planetary Science Letters, 202, 321-335. https://doi.org/10.1016/S0012-821X(02)00784-7
Scott, A.C. (2007) The Nonlinear Universe: Chaos, Emergence, Life. Springer, Berlin, 365 p.
Gershenzon, N.I., Bambakidis, G., Hauser, E., Ghosh, A. and Greager, K.C. (2011) Episodic Tremors and Slip in Cascadia in the Framework of the Frenkel-Kontorova Model. Geophysical Research Letters, 38, Article No. L01309. https://doi.org/10.1029/2010GL045225
Garagash, I.A. (1996) Microdeformations in a Prestressed Discrete Geophysical Medium. Doklady Akademii Nauk, 347, 324-327.
Mikhailov, D.N. and Nikolaevskii, V.N. (2000) Tectonic Waves of the Rotational Type Generating Seismic Signals. Izvestiya, Physics of the Solid Earth, 36, 895-902.
Vikulin, A.V. and Ivanchin, A.G. (1998) Rotational Model of the Seismic Process. Tikhookeanskaya Geologiya, 17, 95-103. (In Russian)
Gershenzon, N.I., Bykov, V.G. and Bambakidis, G. (2009) Strain Waves, Earthquakes, Slow Earthquakes, and Afterslip in the Framework of the Frenkel-Kontorova Model. Physical Review E, 79, Article ID: 056601. https://doi.org/10.1103/PhysRevE.79.056601
Gershenzon, N.I. and Bambakidis, G. (2014) Model of Deep Nonvolcanic Tremor Part I: Ambient and Triggered Tremor. Bulletin of the Seismological Society of America, 104, 2073-2090. https://doi.org/10.1785/0120130234
Gershenzon, N.I. and Bambakidis, G. (2015) Model of Deep Nonvolcanic Tremor Part II: Episodic Tremor and Slip. Bulletin of the Seismological Society of America, 105, 816-830. https://doi.org/10.1785/0120140225
Kontorova, T.A. and Frenkel, Y.I. (1938) To the Theory of Plastic Deformation and Twinning. Journal of Experimental and Theoretical Physics, 8, 89-95. (In Russian)
Braun, O.M. and Kivshar, Yu.S. (2004) The Frenkel-Kontorova Model: Concepts, Methods, and Applications. Springer, Berlin, 472 p. https://doi.org/10.1007/978-3-662-10331-9
Aero, E.L., Bulygin, A.N. and Pavlov, Y.V. (2009) Solutions of the Three-Dimensional Sine-Gordon Equation. Theoretical and Mathematical Physics, 158, 313-319. https://doi.org/10.1007/s11232-009-0025-3
Bykov, V.G. (2014) Sine-Gordon Equation and Its Application to Tectonic Stress Transfer. Journal of Seismology, 18, 497-510. https://doi.org/10.1007/s10950-014-9422-7
Garagash, I.A. and Nikolaevsky, V.N. (2009) Cosserat Mechanics in Earth Sciences. Computational Continuum Mechanics, 2, 44-66. (In Russian)
Obara, K. (2002) Nonvolcanic Deep Tremor Associated with Subduction in Southwest Japan. Science, 296, 1679-1681. https://doi.org/10.1126/science.1070378
Shelly, D.R., Beroza, G.C. and Ide, S. (2007) Non-Volcanic Tremor and Low-Frequency Earthquake Swarms. Nature, 446, 305-307. https://doi.org/10.1038/nature05666
Beroza, G.C. and Ide, S. (2011) Slow Earthquakes and Nonvolcanic Tremor. Annual Review of Earth and Planetary Sciences, 39, 271-296. https://doi.org/10.1146/annurev-earth-040809-152531
Lowry A.R. (2006) Resonant Slow Fault Slip in Subduction Zones Forced by Climatic Load Stress. Nature, 442, 802-805. https://doi.org/10.1038/nature05055
Peyrard, M. and Kruskal, M.D. (1984) Kink Dynamics in the Highly Discrete Sine-Gordon System. Physica D: Nonlinear Phenomena, 14, 88-102. https://doi.org/10.1016/0167-2789(84)90006-X
Braun, O.M. and Kivshar, Y.S. (1998) Nonlinear Dynamics of the Frenkel-Kontorova Model. Physics Reports, 306, 1-108. https://doi.org/10.1016/S0370-1573(98)00029-5
McLaughlin, D., and Scott, A. (1978) A Multisoliton Perturbation Theory. In: Lonngren, K. and Scott, A., Eds., Solitons in Action, Academic Press, New York, 201-256. https://doi.org/10.1016/B978-0-12-455580-8.50015-9
Androsov, I.V., Zhadin, V.V. and Potashnikov, I.A. (1989) Spatial-Temporal Structure of Earthquake Migration and Seismic Belts. Doklady Akademii Nauk SSSR, 306, 1339-1342. (In Russian)
Bazavluk, T.A. and Yudakhin, F.N. (1993) Strain Waves in the Crust of the Tien Shan from Seismological Data. Doklady Akademii Nauk, 329, 565-570. (In Russian)
Sidorov, V.A. and Kuz’min, Y.O. (1989) Spatial-Temporal Characteristics of Modern Dynamics of the Geophysical Medium in Seismically Active and Aseismic Regions. In: Sadovsky M.A., Ed., Discrete Properties of Geophysical Medium, Nauka, Moscow, 33-47. (In Russian)
Spirtus, V.B. (2010) Possibilities of Biophysical Models of FitzHugh-Nagumo Type in Mapping of Two-Dimensional Migration of Seismicity. Geophysical Journal, 32, 134-143. (In Russian)
Spirtus, V.B. (2011) Features of the Dynamics of Seismic Activity in the Models of FitzHugh-Nagumo Type. Geophysical Journal, 3, 57-63. (In Russian)
Makarov, P.V. and Peryshkin, A.Y. (2017) Slow Motions as Inelastic Strain Autowaves in Ductile and Brittle Media. Physical Mesomechanics, 20, 209-221. https://doi.org/10.1134/S1029959917020114
Makarov, P.V. (2007) Evolutionary Nature of Structure Formation in Lithospheric Material: Universal Principle for Fractality of Solids. Russian Geology and Geophysics, 48, 558-574. https://doi.org/10.1016/j.rgg.2007.06.003
Rubinstein, S.M., Cohen, G. and Fineberg, J. (2004) Detachment Fronts and the Onset of Dynamic Friction. Nature, 430, 1005-1009. https://doi.org/10.1038/nature02830
Nielsen, S., Taddeucci, J. and Vinciguerra, S. (2010) Experimental Observation of Stick-Slip Instability Fronts. Geophysical Journal International, 180, 697-702. https://doi.org/10.1111/j.1365-246X.2009.04444.x
Sharon, E., Cohen, G. and Fineberg, J. (2001) Propagating Solitary Waves along a Rapidly Moving Crack Front. Nature, 410, 68-71. https://doi.org/10.1038/35065051
Zuev, L.B., Barannikova, S.A., Zhigalkin, V.M. and Nadezhkin, M.V. (2012) Laboratory Observation of Slow Movements in Rocks. Journal of Applied Mechanics and Technical Physics, 53, 467-470. https://doi.org/10.1134/S0021894412030200
Cartwright, J.H.E., Hernandez-Garcia, E. and Piro, O. (1997) Burridge-Knopoff Models as Elastic Excitable Media. Physical Review Letters, 79, 527-530. https://doi.org/10.1103/PhysRevLett.79.527
Morales, J.E.M., James, G. and Tonnelier, A. (2016) Solitary Waves in the Excitable Burridge-Knopoff Model. Technical Report RR-8996, INRIA Grenoble Rhône-Alpes, Montbonnot-Saint-Martin, 26 p.
Bykov, V.G. (2020) Development of Sliding Regimes in Faults and Slow Strain Waves. Physical Mesomechanics, 23, 271-278. https://doi.org/10.1134/S1029959920030121
Davydov, V.A., Zykov, V.S. and Mikhailov, A.S. (1991) Kinematics of Autowave Structures in Excitable Media. Soviet Physics Uspekhi, 34, 665-684. https://doi.org/10.1070/PU1991v034n08ABEH002462
Ivanitskii, G.R. (1999) Biophysics at the Turn of the Century: Autowaves. Biofizika, 44, 773-795.
Kivshar, Y.S. and Malomed, B.A. (1989) Dynamics of Solitons in Nearly Integrable Systems. Reviews of Modern Physics, 61, 763-915. https://doi.org/10.1103/RevModPhys.61.763
Kerner, B.S. and Osipov, V.V. (1991) Autosolitons: Localized Highly Nonequilibrium Regions in Homogeneous Dissipative Systems. Nauka, Moscow, 200 p.
Scholz, C.H. (2002) The Mechanics of Earthquake and Faulting. 2nd Edition, Cambridge University Press, Cambridge, 471 p.
Johnston, M.J.S. and Linde, A.T. (2002) Implications of Crustal Strain during Conventional, Slow, and Silent Earthquakes. In: Lee, W.H.K., Kanamori, H., Jennings, P.C. and Kisslinger C., Eds., International Handbook of Earthquake and Engineering Seismology, Part A. International Geophysical Series, Vol. 81, Academic Press, Amsterdam, 589-605. https://doi.org/10.1016/S0074-6142(02)80239-X
Putelat, T., Dawes, J.H.P. and Champneys, A.R. (2017) A Phase-Plane Analysis of Localized Frictional Waves. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473, Article ID: 20160606. https://doi.org/10.1098/rspa.2016.0606
Whitham, G.B. (1974) Linear and Nonlinear Waves. Wiley, New York, 636 p.
Ishii, H., Sato, T. and Takagi, A. (1978) Characteristics of Strain Migration in the Northeastern Japanese Arc. (I)—Propagation Characteristics. Science Reports of the Tohoku University, Series 5, Geophysics, 25, 83-90.
Stein, R.S., Barka, A.A. and Dieterich, J.H. (1997) Progressive Failure on the North Anatolian Fault since 1939 by Earthquake Stress Triggering. Geophysical Journal International, 128, 594-604. https://doi.org/10.1111/j.1365-246X.1997.tb05321.x
Lukk, A.A. and Nersesov, I.L. (1982) Variations in Time of Different Parameters of the Seismotectonic Process. Izvestiya Akademii Nauk SSSR, Seriya Fizika Zemli, 3, 10-27. (In Russian)
Nevsky, M.V., Morozova, L.A. and Zhurba, M.N. (1987) The Effect of Propagation of Long-Period Deformation Perturbations. Doklady Akademii Nauk SSSR, 296, 1090-1093. (In Russian)
Bazavluk, T.A. and Yudakhin, F.N. (1998) Temporal Variations of Exchange-Forming Inhomogeneities in the Earth’s Crust, Tien Shan. Doklady Earth Sciences, 362, 987-989.
Bormotov, V.A. and Bykov, V.G. (2001) Seismological Monitoring of the Deformation Process. Geology of Pacific Ocean, 16, 981-994.
Rudakov, V.P. (1992) Mapping of Geodeformation Processes of Seasonal (Annual) Periodicity in the Dynamics of the Subsoil Radon Field. Doklady Akademii Nauk, 324, 558-561. (In Russian)
Nikolaevskiy, V.N. (1998) Tectonic Stress Migration as Nonlinear Wave Process along Earth Crust Faults. In: Adachi, T., Oka, F. and Yashima, A., Eds., Localization and Bifurcation Theory for Soils and Rocks, Balkema, Rotterdam, 137-142.
Firstov, P.P., Makarov, E.O. and Glukhova, I.P. (2017) Peculiarities of Subsoil Gas Dynamics before the М7.2 Zhupanovo Earthquake of January 30, 2016, Kamchatka. Doklady Earth Sciences, 472, 196-199. https://doi.org/10.1134/S1028334X17020015
Schwartz, S.Y. and Rokosky, J.M. (2007) Slow Slip Events and Seismic Tremor at Circum-Pacific Subduction Zones. Reviews of Geophysics, 45, RG3004. https://doi.org/10.1029/2006RG000208
Ishii, H., Sato, T. and Takagi, A. (1980) Characteristics of Strain Migration in the Northeastern Japanese Arc. (II)—Amplitude Characteristics. Journal of the Geodetic Society of Japan, 26, 17-25.
Ishii H., Sato T., Tachibana, K., Hashimoto, K., Murakami, E., Mishina, M., Miura, S., Sato, K. and Takagi, A. (1983) Crustal Strain, Crustal Stress and Microearthquake Activity in the Northeastern Japan Arc. Tectonophysics, 97, 217-230. https://doi.org/10.1016/0040-1951(83)90149-X
Bella, F., Bella, R., Biagi, P.F., Della Monica, G., Ermini, A. and Sgrigna, V. (1987) Tilt Measurements and Seismicity in Central Italy over a Period of Approximately Three Years. Tectonophysics, 139, 333-338. https://doi.org/10.1016/0040-1951(87)90108-9
Milyukov, V., Mironov, A., Kravchuk, V., Amoruso, A. and Crescentini, L. (2013) Global Deformations of the Eurasian Plate and Variations of the Earth Rotation Rate. Journal of Geodynamics, 67, 97-105. https://doi.org/10.1016/j.jog.2012.05.009
Kaftan, V.I. (2021) An Analysis of Ground Movements and Deformations from 13-Year GPS Observations before and during the July 2019 Ridgecrest, USA Earthquakes. Journal of Volcanology and Seismology, 15, 97-106. https://doi.org/10.1134/S0742046321010115
McReynolds, A.W. (1949) Plastic Deformation Waves in Aluminum. Transactions of the American Institute of Mining and Metallurgical Engineers, 185, 32-45. https://doi.org/10.1007/BF03398071
Dillon, O.W. (1966) Waves in Bars of Mechanically Unstable Materials. Journal of Applied Mechanics, 33, 267-274. https://doi.org/10.1115/1.3625037
Kenig, M.J. and Dillon, O.W. (1966) Shock Waves Produced by Small Stress Increments in Annealed Aluminum. Journal of Applied Mechanics, 33, 907-916. https://doi.org/10.1115/1.3625201
Brace, W.F. and Byerlee, J.D. (1966) Stick-Slip as a Mechanism for Earthquakes. Science, 153, 990-992. https://doi.org/10.1126/science.153.3739.990
Scholz, C., Molnar, P. and Johnson, T. (1972) Detailed Studies of Frictional Sliding of Granite and Implications for the Earthquake Mechanism. Journal of Geophysical Research, 77, 6392-6406. https://doi.org/10.1029/JB077i032p06392
Ohnaka, M. (2013) The Physics of Rock Failure and Earthquakes. Cambridge University Press, Cambridge, 270 p. https://doi.org/10.1017/CBO9781139342865
Zuev, L.B. and Danilov, V.I. (2003) Slow Autowave Processes during Deformation of Solids. Physical Mesomechanics, 6, 75-94. (In Russian)
Bornyakov, S.A., Panteleev, I.A. and Tarasova, A.A. (2016) Dynamics of Intrafault Deformation Waves: Results of Physical Simulation. Doklady Earth Sciences, 471, 1316-1318. https://doi.org/10.1134/S1028334X16120175
Asada, T. (1982) Earthquake Prediction Techniques. Their Application in Japan. University of Tokyo Press, Tokyo, 312 p.
Sato, K. (1989) Numerical Experiments on Strain Migration. Journal of the Geodetic Society of Japan, 35, 27-36. (In Japanese with English Abstract).
Ito, T. and Hashimoto, M. (2001) Migrating Crustal Deformation from GEONET Observations. In: AGU Fall Meeting Abstracts, Vol. 2001, American Geophysical Union, Washington DC, G31A-0122.
Lu, D. (1980) Stress Wave, Motion of Strain Wave and Slow Earthquake. Scientia Sinica, 23, 1428-1434.
Takemoto, S. (1995) Recent Results Obtained from Continuous Monitoring of Crustal Deformation. Journal of Physics of the Earth, 43, 407-420. https://doi.org/10.4294/jpe1952.43.407
Gamburtseva, N.G., Lyuke, E.I., Nikolaevsky, V.N., Oreshin, S.I., Pasechnik, I.P., Peregontseva, V.E., and Rubinshtein, K.D. (1982) Periodic Variations in Seismic Wave Parameters during Scanning of the Lithosphere by Strong Explosions. Doklady Akademii Nauk SSSR, 266, 1349-1353. (In Russian)
Nevsky, M.V. (1994) Ultra-Long-Period Strain Waves at the Boundaries of Lithospheric Plates. In: Nikolaev, A.V., Ed., Dynamic Processes in Geophysical Medium, Nauka, Moscow, 40-55. (In Russian)
Lursmanashvili, O.V. (1977) Temporal-Spatial Distribution of Strong Earthquakes in the Caucasus, and Potential Interrelation between Earthquakes through Plastic Waves. Reports of the Academy of Sciences of the Georgian SSR, 87, 601-604. (In Russian)
Lyuke, E.I., An, V.A. and Pasechnik, I.P. (1988) Detection of the Front of a Tectonic Global Wave during Seismic Scanning of the Earth. Doklady Akademii Nauk SSSR, 301, 569-573. (In Russian)
Saprygin, S.M., Vasilenko, N.F. and Soloviev, V.N. (1997) Propagation of the Wave of Tectonic Stresses through the Eurasian Plate in 1978-1983. Russian Geology and Geophysics, 38, 701-709.
Wang, S. and Zhang, Z. (2005) Plastic-Flow Waves (“Slow-Waves”) and Seismic Activity in Central-Eastern Asia. Earhquake Research in China, 19, 74-85.
Sherman, S.I. (2007) New Data on Regularities of Fault Activation in the Baikal Rift System and the Adjacent Territory. Doklady Earth Sciences, 415, 794-798. https://doi.org/10.1134/S1028334X07050303
Vikulin, A.V., Vodinchar, G.M., Gusyakov, V.K., Melekestsev, I.V., Akmanova, D.R., Dolgaya, A.A. and Osipova, N.A. (2011) Migration of Seismic and Volcanic Activity in the Stress-State Zones of the Most Geodynamically Active Megastructures of the Earth. Bulletin of Kamchatka State Technical University, 17, 5-15. (In Russian)
Vikulin, A.V., Melekestsev, I.V., Akmanova, D.R., Ivanchin, A.G., Vodinchar, G.M., Dolgaya, A.A. and Gusyakov, V.K. (2012) Information-Computational System for Modeling of Seismic and Volcanic Processes as a Foundation of Research on Wave Geodynamic Phenomena. Computational Technologies, 17, 34-54. (In Russian)
Miura, S., Ishii, H. and Takagi, A. (1989) Migration of Vertical Deformations and Coupling of Island Arc plate and Subducting Plate. In: Cohen, S.C. and Vanííek, P., Eds., Slow Deformation and Transmission of Stress in the Earth, Geophysical Monograph Series, Vol. 49, American Geophysical Union, Washington DC, 125-138. https://doi.org/10.1029/GM049p0125
Bykov, V.G. and Trofimenko, S.V. (2016) Slow Strain Waves in Blocky Geological Media from GPS and Seismological Observations on the Amurian Plate. Nonlinear Processes in Geophysics, 23, 467-475. https://doi.org/10.5194/npg-23-467-2016
Molchanov, O.A. (2011) Underlying Mechanism of Precursory Activity from Analysis of Upward Earthquake Migration. Natural Hazards and Earth System Sciences, 11, 135-143. https://doi.org/10.5194/nhess-11-135-2011
Sherman, S.I. and Gorbunova, E.A. (2008) Wave Nature of Activation of Faults in Central Asia on the Basis of Seismic Monitoring. Physical Mesomechanics, 11, 115-122. (In Russian)
Gorbunova, E.A. and Sherman, S.I. (2012) Slow Deformation Waves in the Lithosphere: Registration, Parameters, and Geodynamic Analysis (Central Asia). Russian Journal of Pacific Geology, 6, 13-20. https://doi.org/10.1134/S181971401201006X
Pustovitenko, B.G., and Porechnova, E.I. (2008) On the Processes of Formation of Focal Zones of Strong Earthquakes. Geophysical Journal, 30, 73-90. (In Russian)
Novopashnina, A.V. and San’kov, V.A. (2015) Migration of Seismic Activity in Strike-Slip Zones: A Case Study of the Boundary between the North American and Pacific Plates. Russian Journal of Pacific Geology, 9, 141-153. https://doi.org/10.1134/S1819714015020050
Kato, A., Obara, K., Igarashi, T., Tsuruoka, H., Nakagawa, S. and Hirata, N. (2012) Propagation of Slow Slip Leading up to the 2011 Mw 9.0 Tohoku-Oki Earthquake. Science, 335, 705-708. https://doi.org/10.1126/science.1215141
Kato, A. and Nakagawa, S. (2014) Multiple Slow-Slip Events during a Foreshock Sequence of the 2014 Iquique, Chile Mw 8.1 Earthquake. Geophysical Research Letters, 41, 5420-5427. https://doi.org/10.1002/2014GL061138
Di Giovambattista, R., and Tyupkin, Y. (2001) Cyclic Migration of Weak Earthquakes between Lunigiana Earthquake of October 10, 1995 and Reggio Emilia Earthquake of October 15, 1996 (Northern Italy). Journal of Seismology, 5, 147-156. https://doi.org/10.1023/A:1011497601121
Levina, E.A. and Ruzhich, V.V. (2015) The Seismicity Migration Study Based on Space-Time Diagrams. Geodynamics & Tectonophysics, 6, 225-240. https://doi.org/10.5800/GT-2015-6-2-0178
Stepashko, A.A. (2013) The Structure of the Lithospheric Mantle of the Siberain Craton and Seismodynamics of Deformation Waves in the Baikal Seismic Zone. Geodynamics & Tectonophysics, 4, 387-415. (In Russian) https://doi.org/10.5800/GT-2013-4-4-0108
Novopashina, A.V. and Lukhneva, O.F. (2020) Methodical Approach to Isolation of Seismic Activity Migration Episodes of the Northeastern Baikal Rift System (Russia). Episodes, 43, 947-959. https://doi.org/10.18814/epiiugs/2020/020058
Novopashina, A.V., and Lukhneva, O.F. (2021) The Propagation Velocity of Seismic Activity Migrating along the Directions of the Geodynamic Forces Prevailing in the Northeastern Baikal Rift System, Russia. Annals of Geophysics, 64, SE436. https://doi.org/10.4401/ag-8654
Ruzhich, V.V., Kocharyan, G.G. and Levina, Е.А. (2016) Estimated Geodynamic Impact from Zones of Collision and Subduction on the Seismotectonic Regime in the Baikal Rift. Geodynamics & Tectonophysics, 7, 383-406. (In Russian) https://doi.org/10.5800/GT-2016-7-3-0214
Trofimenko, S.V., Bykov, V.G. and Merkulova, T.V. (2015) Seismicity Migration in the Zone of Convergent Interaction between the Amur Plate and the Eurasian Plate. Journal of Volcanology and Seismology, 9, 210-222. https://doi.org/10.1134/S0742046315030069
Trofimenko, S.V., Bykov, V.G. and Merkulova, T.V. (2017) Space-Time Model for Migration of Weak Earthquakes along the Northern Boundary of the Amurian Microplate. Journal of Seismology, 21, 277-286. https://doi.org/10.1007/s10950-016-9600-x
Žalohar, J. (2018) The Omega-Theory: A New Physics of Earthquakes. In: Developments in Structural Geology and Tectonics, Vol. 2, Elsevier, Amsterdam, 570 p.
Zhao, G. and Yao, L. (1995) Earthquake Migration in East Asia Mainland (I)—The Migration of Huge Earthquakes and Volcanic Activity from West Pacific Trench to the Chinese Mainland. Acta Seismologica Sinica, 8, 541-549. https://doi.org/10.1007/BF02650521
Zhao, G., Wu, Z. and Liu, J. (2020) The Types, Characteristics and Mechanism of Seismic Migration. Journal of Geomechanics, 26, 13-32. (In Chinese with English Abstract).
Goldin, S.V. (2002) Destruction of the Lithosphere and Physical Mesomechanics. Fizicheskaya Mezomekhanika, 5, 5-22. (In Russian)
Imamura, A. (1930) On the Chronic Block-Movements in the Kyoto-Osaka District. Japanese Journal of Astronomy and Geophysics, 7, 93-101.
Imamura, A. (1931) On the Northward Movement of Crustal Deformation along the Western Boundary of the Kwanto Plain. Proceeding of the Imperial Academy, 7, 315-318. https://doi.org/10.2183/pjab1912.7.315
Sadovsky, M.A., Bolkhovitinov, L.G. and Pisarenko, V.F. (1987) Deformation of Geophysical Medium and Seismic Process. Nauka, Moscow, 100 p. (In Russian)
Lobkovsky, L.I. (1988) Geodynamics of Spreading and Subduction Zones, and Two-Level Plate Tectonics. Nauka, Moscow, 294 p. (In Russian)
Sherman, S.I. (2014) Seismic Process and the Forecast of Earthquakes: Tectonophysical Conception. Academic Publishing House “Geo”, Novosibirsk, 359 p. (In Russian)
Sanders, C.O. (1993) Interaction of the San Jacinto and San Andreas Fault Zones, Southern California: Triggered Earthquake Migration and Coupled Recurrence Intervals. Science, 260, 973-976. https://doi.org/10.1126/science.260.5110.973
Nason, R.D. (1969) Preliminary Instrumental Measurements of Fault Creep Slippage on the San Andreas Fault, California. Earthquake Notes, 40, 7-10. https://doi.org/10.1785/gssrl.40.1.7
Brudzinski, M.R. and Allen, R.M. (2007) Segmentation in Episodic Tremor and Slip All along Cascadia. Geology, 35, 907-910. https://doi.org/10.1130/G23740A.1
Bykov, V.G. and Trofimenko, S.V. (2017) Slow Strain Waves from Seismological and Geophysical Observations. Geophysical Research Abstracts, 19, EGU2017-2380.
Blot, C. (1981) Earthquakes at Depth Beneath Volcanoes, Forerunners of Their Activities. Application to White Island, New Zealand. Journal of Volcanology and Geothermal Research, 9, 277-291. https://doi.org/10.1016/0377-0273(81)90040-8
Saprygin, S.M. (2013) To the Problem of Seismicity of the Sakhalin Faults. Tikhookeanskaya Geologiya, 32, 73-77. (In Russian)
Yamashina, K. (1989) Volcanic Eruptions and Crustal Deformation in Subduction Zones. Journal of the Geodetic Society of Japan, 35, 257-261.
Shapere, D. (1982) The Concept of Observation in Science and Philosophy. Philosophy of Science, 49, 485-525. https://doi.org/10.1086/289075