Research output: Contribution to journal › Conference article › peer-review
Geometry of the pore space and dynamic pore and cracked media deforming. / Sibiryakov, B.
In: Journal of Physics: Conference Series, Vol. 1141, No. 1, 012075, 21.12.2018.Research output: Contribution to journal › Conference article › peer-review
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TY - JOUR
T1 - Geometry of the pore space and dynamic pore and cracked media deforming
AU - Sibiryakov, B.
N1 - Publisher Copyright: © 2018 Institute of Physics Publishing. All rights reserved.
PY - 2018/12/21
Y1 - 2018/12/21
N2 - In this paper presents the elements of blocked media deforming theory. It means that these media have a specific surface and (related with it) average distance from one crack (pore) to another one. This way requires the creation a new model of continuum, which is contains the integral geometry of pore space. The equations of motion and equilibrium are equations of the infinite order due to infinite numbers of freedom degrees. Along the usual seismic waves, these equations describe very slow waves, not bounded below and, besides of it, they predict the instable solutions, due to parametric resonances in structures bodies. The number of instable solutions corresponds to seismological Gutenberg-Richter law. The dispersion of an average size of structure produces both the fast catastrophes (small dispersion) and slow catastrophes (high dispersion).
AB - In this paper presents the elements of blocked media deforming theory. It means that these media have a specific surface and (related with it) average distance from one crack (pore) to another one. This way requires the creation a new model of continuum, which is contains the integral geometry of pore space. The equations of motion and equilibrium are equations of the infinite order due to infinite numbers of freedom degrees. Along the usual seismic waves, these equations describe very slow waves, not bounded below and, besides of it, they predict the instable solutions, due to parametric resonances in structures bodies. The number of instable solutions corresponds to seismological Gutenberg-Richter law. The dispersion of an average size of structure produces both the fast catastrophes (small dispersion) and slow catastrophes (high dispersion).
UR - http://www.scopus.com/inward/record.url?scp=85059424825&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1141/1/012075
DO - 10.1088/1742-6596/1141/1/012075
M3 - Conference article
AN - SCOPUS:85059424825
VL - 1141
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012075
T2 - 7th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2018
Y2 - 27 August 2018 through 31 August 2018
ER -
ID: 18071865