The Earth's Dissipative Structures: Fundamental Wave Properties of Substance

ISBN-13: 9783319936130 / Angielski / Twarda / 2019 / 270 str.

Oleg Vladimirovitch Petrov

Opis

This volume describes physical, formal mathematical and exterior (morpho-structural) manifestations of wave dynamics of the Earth, defining both its deep structural image, and the external shape of planet.

Spis treści

PART 1.  Concept of wave nature of dissipative processes of fractal
            structuring and of the Earth forming.........................................            

Chapter 1. Universality of manifestation of substance wave properties in
processes of fractal structuring and forming of unstable in terms
of density natural formations.....................................................            

Chapter 2. Physical and mathematical description of manifestation of substance
wave properties in thermodynamical and dynamical processes
of spontaneous structuring of unstable in terms of density mass         

        Description of substance wave properties in the context
of classical physics in terms of trajectories in phase space          

        Statistic description of manifestation of substance wave
properties in terms of assemblies.......................................

        Description of substance wave properties by modes by means
of import of wave functions into phase space....................            

Chapter 3. Fractal hierarchies of dissipative structures — cellular standing
internal gravitational Earth’s waves and methods of their
revelation....................................................................................

        Seismic tomography methods............................................

        Morphometric methods......................................................

        Calculation of fractal dimension of the newest dissipative
Earth structures...................................................................

PART 2.  Fractal hierarchies of the Earth’s dissipative structures –
            a new paradigm of theoretical and practical geology................    

Chapter 4.      Fractal hierarchies and paleogeodynamical reconstructions           

        Late Archaean — Early Proterozoic..................................

        Early Proterozoic................................................................

        Early Riphean.....................................................................

        Middle Riphean..................................................................

        Late Riphean.......................................................................

        Vendian — Middle Cambrian............................................

        Late Cambrian — Early Devonian.....................................

        Early Devonian — Middle Jurassic...................................

        Late Jurassic — Late Cretaceous.......................................

        Late Cretaceous — present.................................................            

Chapter 5. Fractal hierarchies and historical irreversibility of geodynamic
processes.................................................................................... .           

Chapter 6. Applied aspects of dissipative structuring theory of inequilibrium geological environment................................................................................

        Fractal nature of relief structure, geological formations,
geophysical fields and elements of their wave represen-
tations..................................................................................

        Fractal nature of geological section structure and its wave
stratification........................................................................

        Using notions on wave nature of dissipative
structuring processes of geological environment in predictive
problems.............................................................................            

Conclusion ................................................................................. 

Blurb

This volume describes physical, formal mathematical and exterior (morpho-structural) manifestations of wave dynamics of the Earth, defining both its deep structural image, and the external shape of planet. In addition to the standard imagination about waves in the geological environment as short-term seismological and seismic effects, wave dynamics of the Earth are considered as long-time process, comparable to the geochronological scale. The book consists of a systematic description of the conformities discovered in the set of heterogeneous and different-order objects, which have space-related regularity and recurrence at the different levels of resolution of analysis of natural systems. For expert-geologist it includes the basis of the geodynamic wave-related concept which enables to add to the traditional concept of plate tectonics, as well as the methods of quantitative interpretation of measured geo-fields.