Two Memorable Dates in Seismology: Conclusion and References

Authors: (1) Anatol Guglielmi, Schmidt Institute of Physics of the Earth, Russian Academy of Sciences; (2) Boris Klain, Borok Geophysical Observatory of Schmidt Institute of Physics of the Earth, Russian Academy of Sciences; (3) Alexey Zavyalov, Schmidt Institute of Physics of the Earth, Russian Academy of Sciences; (4) Oleg Zotov, Schmidt Institute of Physics of the Earth, Russian Academy of Sciences and Borok Geophysical Observatory of Schmidt Institute of Physics of the Earth, Russian Academy of Sciences. Table of Links Abstract and Introduction Omori (1894) Hirano (1924) Discussion Conclusion and References Conclusion So, at the end of the century before last in Japan, the birth of modern seismology occurred due to the fact that at this time and in this place the urgent need of society, state support and human genius miraculously united. We recalled the background and briefly told the story of the discovery of the first law of earthquake physics. At the beginning of the last century, Hirano drew attention to the fact that the Omori formula does not always satisfactorily describe the flow of aftershocks, and proposed his own version of the law of evolution. Several decades later, Utsu carried out a series of studies using Hirano's formula to process and analyze observations. The results obtained by Utsu aroused keen interest, were continued, and generated an extensive literature. A thorough study of research carried out using the Utsu method led us to the idea of constructing a phenomenological theory of aftershocks, starting from the simplest differential evolution equation with quadratic nonlinearity. Within the framework of the phenomenological approach to the physics of aftershocks, it was possible to obtain a number of previously unknown results. In conclusion, we list some of them again: It has been established that Omori’s law is true, but only for a limited period of time after the main shock, The phenomenon of bifurcation at the end of the epoch of harmonic evolution of the source was discovered, The Hirano-Utsu formula has been analyzed and shown that it can be used as a fitting formula, but does not have the status of a geophysical law, The cumulative effect of round-the-world seismic echo was predicted and discovered, Modulation of global seismicity by spheroidal oscillations of the Earth was discovered, The phenomenon of aftershock migration was discovered, and an interpretation of migration was proposed within the framework of the Kolmogorov-Petrovsky-Piskunov theory of nonlinear diffusion waves. The work was carried out according to the plan of state assignments of Schmidt Institute of Physics of the Earth, Russian Academy of Sciences. References Hirano R. Investigation of aftershocks of the great Kanto earthquake at Kumagaya // Kishoshushi. Ser. 2. 1924. V. 2. P. 77–83 Omori F. On the aftershocks of earthquake // J. Coll. Sci. Imp. Univ. Tokyo. 1894. V. 7. P. 111–200. Guglielmi A.V., Zavyalov, A.D., Zotov, O., Klain B.I. Theory of aftershocks of a strong earthquake // Phys. Usp. 2024 (presenfed). Guglielmi A.V. Foreshocks and aftershocks of strong earthquakes in the light of catastrophe theory // Physics – Uspekhi. 2015. V. 58 (4). P. 384–397. Guglielmi A.V. Interpretation of the Omori Law // arXiv:1604.07017. // Izv. Phys. Solid Earth. 2016. V. 52. P. 785–786. Zavyalov, A., Zotov, O., Guglielmi, A., Klain, B. On the Omori Law in the physics of earthquakes // Appl. Sci. 2022, vol. 12, issue 19, 9965. https://doi.org/10.3390/app12199965 Guglielmi A.V. Omori's law: a note on the history of geophysics // Phys. Usp. 2017. V. P. 319–324. DOI: 10.3367/UFNe.2017.01.038039. Guglielmi A.V., Zavyalov A.D., Zotov O.D. A project for an Atlas of aftershocks following large earthquakes // J. Volcanology and Seismology. 2019. V. 13. No. 6. P. 415–419. DOI: 10.1134/S0742046319060034. Guglielmi A., Zotov O. Bifurcation of the earthquake source at the end of the Omori epoch // arXiv:2303.02582 [physics.geo-ph]. 2023. Guglielmi, A.V.; Zotov, O.D. Impact of the Earth’s oscillations on the earthquakes // arXiv:1207.0365. Submitted on 2 Jul 2012. // On the near-hourly hidden periodicity of earthquakes // Izv. Phys. Solid Earth. 2013. V. 49. No. 1. P. 1–8. DOI: 10.1134/S1069351313010047 Zotov, O.D.; Zavyalov, A.D.; Guglielmi, A.V.; Lavrov, I.P. On the possible effect of round-the-world surface seismic waves in the dynamics of repeated shocks after strong earthquakes // Izv. Phys. Solid Earth. 2018. V. 54. No. 1. P. 178–191. DOI: 10.1134/S1069351318010159 Guglielmi, A.V.; Zotov, O.D.; Zavyalov, A.D. The aftershock dynamics of the Sumatra– Andaman earthquake // Izv. Phys. Solid Earth. 2014. V. 5. No. 1. P. 64–72. DOI: 10.1134/S1069351313060037 Zotov O.D.; Guglielmi A.V. Mirror triad of tectonic earthquakes // arXiv:2109.05015 [physics.geo-ph]. 2021. Zotov O.D, Zavyalov A.D., Klain B.I. On the spatial-temporal structure of aftershock sequences // In: Yanovskaya T. et al. (eds). Problems of Geocosmos–2018, Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. 2020. P. 199. DOI: 10.1007/978-3-030-21788-4_16 Davison Ch. The founders of seismology // Cambridge: University Press. 1930. Zavyalov A.D., Zotov O.D. A New way to determine the characteristic size of the source zone // Journal of Volcanology and Seismology, Springer Verlag (Germany), 2021 V.15, № 1. P. 19–25. DOI:10.1134/S0742046321010139 Guglielmi A., Zotov O.D. Dependence of the source deactivation factor on the earthquake magnitude // arXiv:2108.02438 [physics.geo-ph]. 2021. Guglielmi A., Zotov O. Bifurcation of the earthquake source at the end of the Omori epoch // arXiv:2303.02582 [physics.geo-ph]. 2023. Jeffreys H. Aftershocks and periodicity in earthquakes // Gerlands Beitr. Geophys. 1938. V. 56. P. 111–139. Utsu T. A statistical study on the occurrence of aftershocks // Geophys. Mag. 1961. V. 30. P. 521–605. Utsu T. On the Nature of Three Alaskan Aftershock Sequences of 1957 and 1958 // Bull. Seismol. Soc. Am. 1962. V. 52. P. 279–297. Utsu T., Ogata Y., Matsu’ura R.S. The centenary of the Omori formula for a decay law of aftershock activity // J. Phys. Earth. 1995. V. 43. № 1. P. 1–33. Guglielmi A.V., Klain B.I. The Phenomenology of Aftershocks // arXiv:2009.10999 [physics.geo-ph]. 2020. Faraoni V. Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip // Eur. Phys. J. C. 2020. V. 80. P. 445. Zavyalov A.D., Guglielmi A.V., Zotov O.D. Three problems in aftershock physics // J. Volcanology and Seismology. 2020. V. 14. No. 5. P. 341–352. Kolmogorov A.N., Petrovsky I.G., Piskunov N.S. A study of the diffusion equatio related to increase of material, and its application to a biological problem // Bull. MGU, Ser. A. Matematika i Mekhanika. 1937. V. 1(6). P. 1‒26. This paper is available on arxiv under CC BY 4.0 DEED license. Authors: (1) Anatol Guglielmi, Schmidt Institute of Physics of the Earth, Russian Academy of Sciences; (2) Boris Klain, Borok Geophysical Observatory of Schmidt Institute of Physics of the Earth, Russian Academy of Sciences; (3) Alexey Zavyalov, Schmidt Institute of Physics of the Earth, Russian Academy of Sciences; (4) Oleg Zotov, Schmidt Institute of Physics of the Earth, Russian Academy of Sciences and Borok Geophysical Observatory of Schmidt Institute of Physics of the Earth, Russian Academy of Sciences. Authors: Authors: (1) Anatol Guglielmi, Schmidt Institute of Physics of the Earth, Russian Academy of Sciences; (2) Boris Klain, Borok Geophysical Observatory of Schmidt Institute of Physics of the Earth, Russian Academy of Sciences; (3) Alexey Zavyalov, Schmidt Institute of Physics of the Earth, Russian Academy of Sciences; (4) Oleg Zotov, Schmidt Institute of Physics of the Earth, Russian Academy of Sciences and Borok Geophysical Observatory of Schmidt Institute of Physics of the Earth, Russian Academy of Sciences. Table of Links Abstract and Introduction Abstract and Introduction Omori (1894) Omori (1894) Hirano (1924) Hirano (1924) Discussion Discussion Conclusion and References Conclusion and References Conclusion So, at the end of the century before last in Japan, the birth of modern seismology occurred due to the fact that at this time and in this place the urgent need of society, state support and human genius miraculously united. We recalled the background and briefly told the story of the discovery of the first law of earthquake physics. At the beginning of the last century, Hirano drew attention to the fact that the Omori formula does not always satisfactorily describe the flow of aftershocks, and proposed his own version of the law of evolution. Several decades later, Utsu carried out a series of studies using Hirano's formula to process and analyze observations. The results obtained by Utsu aroused keen interest, were continued, and generated an extensive literature. A thorough study of research carried out using the Utsu method led us to the idea of constructing a phenomenological theory of aftershocks, starting from the simplest differential evolution equation with quadratic nonlinearity. Within the framework of the phenomenological approach to the physics of aftershocks, it was possible to obtain a number of previously unknown results. In conclusion, we list some of them again: It has been established that Omori’s law is true, but only for a limited period of time after the main shock, The phenomenon of bifurcation at the end of the epoch of harmonic evolution of the source was discovered, The Hirano-Utsu formula has been analyzed and shown that it can be used as a fitting formula, but does not have the status of a geophysical law, The cumulative effect of round-the-world seismic echo was predicted and discovered, Modulation of global seismicity by spheroidal oscillations of the Earth was discovered, The phenomenon of aftershock migration was discovered, and an interpretation of migration was proposed within the framework of the Kolmogorov-Petrovsky-Piskunov theory of nonlinear diffusion waves. It has been established that Omori’s law is true, but only for a limited period of time after the main shock, It has been established that Omori’s law is true, but only for a limited period of time after the main shock, The phenomenon of bifurcation at the end of the epoch of harmonic evolution of the source was discovered, The phenomenon of bifurcation at the end of the epoch of harmonic evolution of the source was discovered, The Hirano-Utsu formula has been analyzed and shown that it can be used as a fitting formula, but does not have the status of a geophysical law, The Hirano-Utsu formula has been analyzed and shown that it can be used as a fitting formula, but does not have the status of a geophysical law, The cumulative effect of round-the-world seismic echo was predicted and discovered, The cumulative effect of round-the-world seismic echo was predicted and discovered, Modulation of global seismicity by spheroidal oscillations of the Earth was discovered, Modulation of global seismicity by spheroidal oscillations of the Earth was discovered, The phenomenon of aftershock migration was discovered, and an interpretation of migration was proposed within the framework of the Kolmogorov-Petrovsky-Piskunov theory of nonlinear diffusion waves. The phenomenon of aftershock migration was discovered, and an interpretation of migration was proposed within the framework of the Kolmogorov-Petrovsky-Piskunov theory of nonlinear diffusion waves. The work was carried out according to the plan of state assignments of Schmidt Institute of Physics of the Earth, Russian Academy of Sciences. References Hirano R. Investigation of aftershocks of the great Kanto earthquake at Kumagaya // Kishoshushi. Ser. 2. 1924. V. 2. P. 77–83 Omori F. On the aftershocks of earthquake // J. Coll. Sci. Imp. Univ. Tokyo. 1894. V. 7. P. 111–200. Guglielmi A.V., Zavyalov, A.D., Zotov, O., Klain B.I. Theory of aftershocks of a strong earthquake // Phys. Usp. 2024 (presenfed). Guglielmi A.V. Foreshocks and aftershocks of strong earthquakes in the light of catastrophe theory // Physics – Uspekhi. 2015. V. 58 (4). P. 384–397. Guglielmi A.V. Interpretation of the Omori Law // arXiv:1604.07017. // Izv. Phys. Solid Earth. 2016. V. 52. P. 785–786. Zavyalov, A., Zotov, O., Guglielmi, A., Klain, B. On the Omori Law in the physics of earthquakes // Appl. Sci. 2022, vol. 12, issue 19, 9965. https://doi.org/10.3390/app12199965 Guglielmi A.V. Omori's law: a note on the history of geophysics // Phys. Usp. 2017. V. P. 319–324. DOI: 10.3367/UFNe.2017.01.038039. Guglielmi A.V., Zavyalov A.D., Zotov O.D. A project for an Atlas of aftershocks following large earthquakes // J. Volcanology and Seismology. 2019. V. 13. No. 6. P. 415–419. DOI: 10.1134/S0742046319060034. Guglielmi A., Zotov O. Bifurcation of the earthquake source at the end of the Omori epoch // arXiv:2303.02582 [physics.geo-ph]. 2023. Guglielmi, A.V.; Zotov, O.D. Impact of the Earth’s oscillations on the earthquakes // arXiv:1207.0365. Submitted on 2 Jul 2012. // On the near-hourly hidden periodicity of earthquakes // Izv. Phys. Solid Earth. 2013. V. 49. No. 1. P. 1–8. DOI: 10.1134/S1069351313010047 Zotov, O.D.; Zavyalov, A.D.; Guglielmi, A.V.; Lavrov, I.P. On the possible effect of round-the-world surface seismic waves in the dynamics of repeated shocks after strong earthquakes // Izv. Phys. Solid Earth. 2018. V. 54. No. 1. P. 178–191. DOI: 10.1134/S1069351318010159 Guglielmi, A.V.; Zotov, O.D.; Zavyalov, A.D. The aftershock dynamics of the Sumatra– Andaman earthquake // Izv. Phys. Solid Earth. 2014. V. 5. No. 1. P. 64–72. DOI: 10.1134/S1069351313060037 Zotov O.D.; Guglielmi A.V. Mirror triad of tectonic earthquakes // arXiv:2109.05015 [physics.geo-ph]. 2021. Zotov O.D, Zavyalov A.D., Klain B.I. On the spatial-temporal structure of aftershock sequences // In: Yanovskaya T. et al. (eds). Problems of Geocosmos–2018, Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. 2020. P. 199. DOI: 10.1007/978-3-030-21788-4_16 Davison Ch. The founders of seismology // Cambridge: University Press. 1930. Zavyalov A.D., Zotov O.D. A New way to determine the characteristic size of the source zone // Journal of Volcanology and Seismology, Springer Verlag (Germany), 2021 V.15, № 1. P. 19–25. DOI:10.1134/S0742046321010139 Guglielmi A., Zotov O.D. Dependence of the source deactivation factor on the earthquake magnitude // arXiv:2108.02438 [physics.geo-ph]. 2021. Guglielmi A., Zotov O. Bifurcation of the earthquake source at the end of the Omori epoch // arXiv:2303.02582 [physics.geo-ph]. 2023. Jeffreys H. Aftershocks and periodicity in earthquakes // Gerlands Beitr. Geophys. 1938. V. 56. P. 111–139. Utsu T. A statistical study on the occurrence of aftershocks // Geophys. Mag. 1961. V. 30. P. 521–605. Utsu T. On the Nature of Three Alaskan Aftershock Sequences of 1957 and 1958 // Bull. Seismol. Soc. Am. 1962. V. 52. P. 279–297. Utsu T., Ogata Y., Matsu’ura R.S. The centenary of the Omori formula for a decay law of aftershock activity // J. Phys. Earth. 1995. V. 43. № 1. P. 1–33. Guglielmi A.V., Klain B.I. The Phenomenology of Aftershocks // arXiv:2009.10999 [physics.geo-ph]. 2020. Faraoni V. Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip // Eur. Phys. J. C. 2020. V. 80. P. 445. Zavyalov A.D., Guglielmi A.V., Zotov O.D. Three problems in aftershock physics // J. Volcanology and Seismology. 2020. V. 14. No. 5. P. 341–352. Kolmogorov A.N., Petrovsky I.G., Piskunov N.S. A study of the diffusion equatio related to increase of material, and its application to a biological problem // Bull. MGU, Ser. A. Matematika i Mekhanika. 1937. V. 1(6). P. 1‒26. Hirano R. Investigation of aftershocks of the great Kanto earthquake at Kumagaya // Kishoshushi. Ser. 2. 1924. V. 2. P. 77–83 Hirano R. Investigation of aftershocks of the great Kanto earthquake at Kumagaya // Kishoshushi. Ser. 2. 1924. V. 2. P. 77–83 Omori F. On the aftershocks of earthquake // J. Coll. Sci. Imp. Univ. Tokyo. 1894. V. 7. P. 111–200. Omori F. On the aftershocks of earthquake // J. Coll. Sci. Imp. Univ. Tokyo. 1894. V. 7. P. 111–200. Guglielmi A.V., Zavyalov, A.D., Zotov, O., Klain B.I. Theory of aftershocks of a strong earthquake // Phys. Usp. 2024 (presenfed). Guglielmi A.V., Zavyalov, A.D., Zotov, O., Klain B.I. Theory of aftershocks of a strong earthquake // Phys. Usp. 2024 (presenfed). Guglielmi A.V. Foreshocks and aftershocks of strong earthquakes in the light of catastrophe theory // Physics – Uspekhi. 2015. V. 58 (4). P. 384–397. Guglielmi A.V. Foreshocks and aftershocks of strong earthquakes in the light of catastrophe theory // Physics – Uspekhi. 2015. V. 58 (4). P. 384–397. Guglielmi A.V. Interpretation of the Omori Law // arXiv:1604.07017. // Izv. Phys. Solid Earth. 2016. V. 52. P. 785–786. Guglielmi A.V. Interpretation of the Omori Law // arXiv:1604.07017. // Izv. Phys. Solid Earth. 2016. V. 52. P. 785–786. Zavyalov, A., Zotov, O., Guglielmi, A., Klain, B. On the Omori Law in the physics of earthquakes // Appl. Sci. 2022, vol. 12, issue 19, 9965. https://doi.org/10.3390/app12199965 Zavyalov, A., Zotov, O., Guglielmi, A., Klain, B. On the Omori Law in the physics of earthquakes // Appl. Sci. 2022, vol. 12, issue 19, 9965. https://doi.org/10.3390/app12199965 https://doi.org/10.3390/app12199965 Guglielmi A.V. Omori's law: a note on the history of geophysics // Phys. Usp. 2017. V. P. 319–324. DOI: 10.3367/UFNe.2017.01.038039. Guglielmi A.V. Omori's law: a note on the history of geophysics // Phys. Usp. 2017. V. P. 319–324. DOI: 10.3367/UFNe.2017.01.038039. Guglielmi A.V., Zavyalov A.D., Zotov O.D. A project for an Atlas of aftershocks following large earthquakes // J. Volcanology and Seismology. 2019. V. 13. No. 6. P. 415–419. DOI: 10.1134/S0742046319060034. Guglielmi A.V., Zavyalov A.D., Zotov O.D. A project for an Atlas of aftershocks following large earthquakes // J. Volcanology and Seismology. 2019. V. 13. No. 6. P. 415–419. DOI: 10.1134/S0742046319060034. Guglielmi A., Zotov O. Bifurcation of the earthquake source at the end of the Omori epoch // arXiv:2303.02582 [physics.geo-ph]. 2023. Guglielmi A., Zotov O. Bifurcation of the earthquake source at the end of the Omori epoch // arXiv:2303.02582 [physics.geo-ph]. 2023. Guglielmi, A.V.; Zotov, O.D. Impact of the Earth’s oscillations on the earthquakes // arXiv:1207.0365. Submitted on 2 Jul 2012. // On the near-hourly hidden periodicity of earthquakes // Izv. Phys. Solid Earth. 2013. V. 49. No. 1. P. 1–8. DOI: 10.1134/S1069351313010047 Guglielmi, A.V.; Zotov, O.D. Impact of the Earth’s oscillations on the earthquakes // arXiv:1207.0365. Submitted on 2 Jul 2012. // On the near-hourly hidden periodicity of earthquakes // Izv. Phys. Solid Earth. 2013. V. 49. No. 1. P. 1–8. DOI: 10.1134/S1069351313010047 Zotov, O.D.; Zavyalov, A.D.; Guglielmi, A.V.; Lavrov, I.P. On the possible effect of round-the-world surface seismic waves in the dynamics of repeated shocks after strong earthquakes // Izv. Phys. Solid Earth. 2018. V. 54. No. 1. P. 178–191. DOI: 10.1134/S1069351318010159 Zotov, O.D.; Zavyalov, A.D.; Guglielmi, A.V.; Lavrov, I.P. On the possible effect of round-the-world surface seismic waves in the dynamics of repeated shocks after strong earthquakes // Izv. Phys. Solid Earth. 2018. V. 54. No. 1. P. 178–191. DOI: 10.1134/S1069351318010159 Guglielmi, A.V.; Zotov, O.D.; Zavyalov, A.D. The aftershock dynamics of the Sumatra– Andaman earthquake // Izv. Phys. Solid Earth. 2014. V. 5. No. 1. P. 64–72. DOI: 10.1134/S1069351313060037 Guglielmi, A.V.; Zotov, O.D.; Zavyalov, A.D. The aftershock dynamics of the Sumatra– Andaman earthquake // Izv. Phys. Solid Earth. 2014. V. 5. No. 1. P. 64–72. DOI: 10.1134/S1069351313060037 Zotov O.D.; Guglielmi A.V. Mirror triad of tectonic earthquakes // arXiv:2109.05015 [physics.geo-ph]. 2021. Zotov O.D.; Guglielmi A.V. Mirror triad of tectonic earthquakes // arXiv:2109.05015 [physics.geo-ph]. 2021. Zotov O.D, Zavyalov A.D., Klain B.I. On the spatial-temporal structure of aftershock sequences // In: Yanovskaya T. et al. (eds). Problems of Geocosmos–2018, Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. 2020. P. 199. DOI: 10.1007/978-3-030-21788-4_16 Zotov O.D, Zavyalov A.D., Klain B.I. On the spatial-temporal structure of aftershock sequences // In: Yanovskaya T. et al. (eds). Problems of Geocosmos–2018, Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. 2020. P. 199. DOI: 10.1007/978-3-030-21788-4_16 Davison Ch. The founders of seismology // Cambridge: University Press. 1930. Davison Ch. The founders of seismology // Cambridge: University Press. 1930. Zavyalov A.D., Zotov O.D. A New way to determine the characteristic size of the source zone // Journal of Volcanology and Seismology, Springer Verlag (Germany), 2021 V.15, № 1. P. 19–25. DOI:10.1134/S0742046321010139 Zavyalov A.D., Zotov O.D. A New way to determine the characteristic size of the source zone // Journal of Volcanology and Seismology, Springer Verlag (Germany), 2021 V.15, № 1. P. 19–25. DOI:10.1134/S0742046321010139 Guglielmi A., Zotov O.D. Dependence of the source deactivation factor on the earthquake magnitude // arXiv:2108.02438 [physics.geo-ph]. 2021. Guglielmi A., Zotov O.D. Dependence of the source deactivation factor on the earthquake magnitude // arXiv:2108.02438 [physics.geo-ph]. 2021. Guglielmi A., Zotov O. Bifurcation of the earthquake source at the end of the Omori epoch // arXiv:2303.02582 [physics.geo-ph]. 2023. Guglielmi A., Zotov O. Bifurcation of the earthquake source at the end of the Omori epoch // arXiv:2303.02582 [physics.geo-ph]. 2023. Jeffreys H. Aftershocks and periodicity in earthquakes // Gerlands Beitr. Geophys. 1938. V. 56. P. 111–139. Jeffreys H. Aftershocks and periodicity in earthquakes // Gerlands Beitr. Geophys. 1938. V. 56. P. 111–139. Utsu T. A statistical study on the occurrence of aftershocks // Geophys. Mag. 1961. V. 30. P. 521–605. Utsu T. A statistical study on the occurrence of aftershocks // Geophys. Mag. 1961. V. 30. P. 521–605. Utsu T. A statistical study on the occurrence of aftershocks // Geophys. Mag. 1961. V. 30. P. 521–605. Utsu T. On the Nature of Three Alaskan Aftershock Sequences of 1957 and 1958 // Bull. Seismol. Soc. Am. 1962. V. 52. P. 279–297. Utsu T. On the Nature of Three Alaskan Aftershock Sequences of 1957 and 1958 // Bull. Seismol. Soc. Am. 1962. V. 52. P. 279–297. Utsu T., Ogata Y., Matsu’ura R.S. The centenary of the Omori formula for a decay law of aftershock activity // J. Phys. Earth. 1995. V. 43. № 1. P. 1–33. Utsu T., Ogata Y., Matsu’ura R.S. The centenary of the Omori formula for a decay law of aftershock activity // J. Phys. Earth. 1995. V. 43. № 1. P. 1–33. Guglielmi A.V., Klain B.I. The Phenomenology of Aftershocks // arXiv:2009.10999 [physics.geo-ph]. 2020. Guglielmi A.V., Klain B.I. The Phenomenology of Aftershocks // arXiv:2009.10999 [physics.geo-ph]. 2020. Faraoni V. Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip // Eur. Phys. J. C. 2020. V. 80. P. 445. Faraoni V. Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip // Eur. Phys. J. C. 2020. V. 80. P. 445. Zavyalov A.D., Guglielmi A.V., Zotov O.D. Three problems in aftershock physics // J. Volcanology and Seismology. 2020. V. 14. No. 5. P. 341–352. Zavyalov A.D., Guglielmi A.V., Zotov O.D. Three problems in aftershock physics // J. Volcanology and Seismology. 2020. V. 14. No. 5. P. 341–352. Kolmogorov A.N., Petrovsky I.G., Piskunov N.S. A study of the diffusion equatio related to increase of material, and its application to a biological problem // Bull. MGU, Ser. A. Matematika i Mekhanika. 1937. V. 1(6). P. 1‒26. Kolmogorov A.N., Petrovsky I.G., Piskunov N.S. A study of the diffusion equatio related to increase of material, and its application to a biological problem // Bull. MGU, Ser. A. Matematika i Mekhanika. 1937. V. 1(6). P. 1‒26. This paper is available on arxiv under CC BY 4.0 DEED license. This paper is available on arxiv under CC BY 4.0 DEED license. available on arxiv