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| Titel |
Construction of a state evolution dynamical model of a rock massive, which is in a regime of energetic pumping |
| VerfasserIn |
Olga Hachay, Andrey Khachay, Oleg Khachay |
| Konferenz |
EGU General Assembly 2011
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 13 (2011) |
| Datensatznummer |
250046670
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| Zusammenfassung |
| In the paper [1-3] it had been showed the opportunity of use the mathematical results of
the state theory of open dynamical conservative and dissipative systems, to which
are related rock massifs in the mines. As a dynamical system we understand an
object or process, for which the concept state is defined as a value part of some
values in a given moment of time and defined an operator, which describes the
evolution of the initial state in time. As a rule the state control of rock massifs in
the mines is organized not continuous but in a frame of observation cycles, or in
discrete moments of time. For description of its evolution the difference analogue of
differential evolution equations is used. With application to our problem for state massive
research, which is influenced by energy pumping the model of heterogeneous no
stationary dissipative system is the best for its describing. Analyses of dynamical system
phase portrait allow characterizing the system during the period of observation. For
realization of dissipative regimes changing clarifying for real rock massifs, which are
influenced by explosions the data of Tashtagol mine seismic catalogue for the period of
two years from June 2006 to June 2008 had been used. We traced the evolution of
morphology changing of phase trajectories of massive response, which was in a local
time in a stable state: there was a local area as a clew of interlacing trajectories
and small over shootings from that clew which were lower than 105 joules. That
feature is observed for all periods of time in spite of some time moments when the
overshooting is higher, than 105 joules reaching to 106 joules and yet 109 joules. Since the
researched massive volume was the same and we had researched the process of
activation and activity decay then it is obviously that we had observed two mutual
depending processes: energy accumulating in the attracting phase trajectories area
and resonance release of the attracted energy. After that release the system returns
to the attracting phase trajectories area. The received results lead us to use a new
problem definition for mathematical modeling. We used the theoretical conception
formulated in the book [4] which consists in: we must use nonlinear equations for
description of the evolution process. That leads to no superposition of partial linear
solutions and no linearization of the problem. That approves unexhausted set of
possible directions of dissipative process evolution and also provides appearance
in the continuum discrete space-time scales, which characterize the features of
nonlinear medium no depending from outer influence. Nonlinear dissipative media
can reveal the inner order, which characterizes by spontaneous appearance in the
continuum complicated dissipative structures; during their evolution we can see self
organization.
1. Hachay O.A. A new Method for Estimation and Forecasting of the Degree of
Stability State of Rock massive.// Heterogeneous Material Mechanics 2nd Int. Conf. on
Heterogeneous Material Mechanics (ICHMM-2008) June 3-8, 2008, Huangshan, China.
2.Hachay O.A. Synergetic events in geological medium and nonlinear features of
wave propagation.// Geophysical Research Abstracts Vol. 11, EGU2009-3684, 2009
EGU General Assembly 2009. 3.Hachay O.A., Khachay A.Yu. Construction of
Dynamical Model for Evolution of Rock Massive State as a Response on a Changing of
Stress-Deformed State. // Geophysical Research Abstracts Vol. 12, EGU2010-2662, 2010
EGU General Assembly 2010. 4.Samarsky A.A., Galaktionov V.A., Kurdyumov S.P.,
Mihailov A.P. Regimes with sharpening in the problems for quasilinear parabolic
equations. M.: Nauka. Glavnaya redakcia physiko-matematicheskoy literaturi.- 1987 (in
Russian). |
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