Hierarchical block model for seismic processes

Mykulyak, S.V.

doi:10.15407/dopovidi2018.11.055

Cited by 2 publications

(1 citation statement)

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“…The physical fields acting in this system form a hierarchical sequence of anomalies that correspond to various levels of the hierarchy. The mathematical expression of the self-similarity of such a system is the statistical laws, the fractal dimension of which varies from 2 to 3 [2][3][4][5][6]. This model is the most suitable for characterizing the location of faultings in Donbas that previous studies of faulting fractality show.…”

Section: Introductionmentioning

confidence: 99%

Redistribution and realization of energy at different scale-hierarchical levels of coalrock massif

et al. 2020

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The research of redistribution and realization of energy at different scale-hierarchical levels at the Donbas coalrock massif based on the parameters of faultings and gas-dynamic phenomena has been conducted. It is proved that the energy transfer, incoming by impulses in post-inversion time of the geological development in Donbas, occurs throughout the whole structure of coal, due to the formation of energy connection between individual elements of the molecular structure. This process is accompanied by transition of free energy into a bound state with increase in ordering of the molecular structure and aromaticity of the coal substance (local increase in the degree of catagenetic transformations). The conditions of energy accumulation and realization depend on the peculiarities of molecular processes occurring in dislocations of different types. Less energy is accumulated in tensile zones than in compression zones, which is confirmed by the intensity of coal and gas outbursts. It has been established that the energy entering the multifractal geological environment in Donbas from external sources is also redistributed fractionally by the system, causing the formation of multiscale discrete inhomogeneities, which provides the massif with specific properties and ability to self-organization. A fractal model of the structure of the coalrock massif is proposed.

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Section: Introductionmentioning

confidence: 99%

Redistribution and realization of energy at different scale-hierarchical levels of coalrock massif

et al. 2020

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Dynamics of structured geomedia: theory, models, experiment

Mykulyak

2024

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The monograph is devoted to studying the dynamics of structured media taking into account their discrete and hierarchical structures. The geomedia in question include a wide class of naturally occurring discrete rock massifs, from granular rock massifs like sand to highly heterogeneous and fragmented areas such as seismically active zones. Research is carried out within the framework of the approach in which the geomedium is interpreted as a complex discrete system with a hierarchical structure and nonlinear and dissipative interaction between structural elements. Discrete models are used to study the dynamics of structured media since continuous models can’t reproduce the full variety of dynamic behavior of such media. In addition, for a hierarchical medium, it is impossible to perform averaging when moving to a continuous description due to the lack of a small parameter. Models are proposed that account for the hierarchical structure of media, particularly, the model of nested oscillators and the block model of earthquakes, which reproduces all the main empirical properties of seismic processes. The processes of propagation of nonlinear waves in discrete media and the formation of wave structures in them are considered in detail. Experiments with dynamic deformation of granular massifs are presented in which the nature of intergranular interaction and their deformation properties are investigated. Numerical modeling of such dynamic deformation confirms the experimental results regarding the existence of correlations of intergranular interaction forces, and the calculated time dependences of the coordination number, orientational order parameter, correlation radius, and distribution of intergranular forces demonstrate the non-equilibrium nature of the process of dynamic deformation of the granular medium. Considerable attention in the monograph is devoted to the study of shear deformation of the granular medium. Experiments and numerous simulations prove a statistical similarity in the shear deformation of granular media and natural seismic processes. Therefore the study of shear deformation of granular media provides a better understanding of the occurrence and properties of earthquakes. The book is aimed at students, post-graduate students, teachers of higher scientific institutions, and researchers whose scientific interests cover areas such as geophysics and the physics of complex systems.

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Hierarchical block model for seismic processes

Cited by 2 publications

References 12 publications

Redistribution and realization of energy at different scale-hierarchical levels of coalrock massif

Redistribution and realization of energy at different scale-hierarchical levels of coalrock massif

Dynamics of structured geomedia: theory, models, experiment

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