Discreteness of catastrophes and abnormally low wave velocities in fractured-porous megastructures
https://doi.org/10.18303/2619-1563-2026-1-16
Abstract
The paper demonstrates that the Omori and Gutenberg–Richter laws can be written in discrete form and do not require approximation by continuous processes. The variance of average distances from a crack to its nearest neighbor plays a key role in determining the hazard of catastrophes. Zero variance results in discrete-impact catastrophes. Increasing variance initially weakens catastrophes until they disappear. Then, with further increases in variance, catastrophes of a completely different nature arise, which can be interpreted as the failure of a body without a prior history of this failure, i. e., as the sudden disintegration of a body with an internal structure. This phenomenon may be related to the occurrence of earthquake swarms.
Keywords
pore space structure,
specific surface area,
microinhomogeneous media,
failure of a medium,
Omori law
Supporting agencies: the study was carried out within the framework of the project No. FWZZ-2026-0050.
About the Authors
E. B. Sibiryakov
Trofimuk Institute of Petroleum Geology and Geophysics, SB RAS; Siberian State University of Telecommunications and Information Science
Russian Federation
Russian Federation
Egor B. Sibiryakov
Koptyug Ave., 3, Novosibirsk, 630090
Kirov Str., 86, Novosibirsk, 630102
B. P. Sibiryakov
Trofimuk Institute of Petroleum Geology and Geophysics, SB RAS; Siberian State University of Telecommunications and Information Science
Russian Federation
Russian Federation
Boris P. Sibiryakov
Koptyug Ave., 3, Novosibirsk, 630090
Kirov Str., 86, Novosibirsk, 630102
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Review
For citations:
Sibiryakov E.B., Sibiryakov B.P. Discreteness of catastrophes and abnormally low wave velocities in fractured-porous megastructures. Russian Journal of Geophysical Technologies. 2026;(1):16-24. (In Russ.) https://doi.org/10.18303/2619-1563-2026-1-16
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