Geometry of the pore space and dynamic pore and cracked media deforming
Creators
- 1. Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090 (Russian Federation)
Description
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). (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/1742-6596/1141/1/012075Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Physics. Conference Series (Online)
- Journal Volume
- 1141
- Journal Issue
- 1
- Journal Page Range
- [11 p.]
- ISSN
- 1742-6596
Conference
- Title
- International Conference on Mathematical Modelling in Physical Sciences
- Dates
- 27-31 Oct 2018
- Place
- Moscow (Russian Federation)
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 53035986
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- CRACKS; EQUATIONS OF MOTION; GEOMETRY; RESONANCE; SEISMIC WAVES; SURFACES
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS