The Earths Free Oscillations

Author : Oleg V. Petrov
Publisher : Springer
ISBN 13 : 9783030675196
Total Pages : 106 pages
Book Rating : 4.9X/5 ( download)

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Download or read book The Earth’s Free Oscillations written by Oleg V. Petrov and published by Springer. This book was released on 2022-02-13 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the formulations and solutions of the wave equation for the Earth’s free oscillations concerning the particular nodal, bifurcation, perspectival, and projective reference points within the framework of the three “great geometries” of Euclid, Lobachevsky, and Riemann. When studying the relationship between the propagation velocity of various types of bulk and surface seismic waves with radial, spheroidal, and torsional eigen oscillations of the Earth having corresponding periods, we are struck by the fundamental problem of obtaining reference points that allow physical meaning to be attributed to all these discrete oscillatory and continuous wave phenomena that occur in nature. Several unsuccessful attempts tried to unify the relationship of discrete oscillations and the velocity of waves and light occurring in seismology and other phenomena associated with gravity and matter, using a three-dimensional visual space-time model continuous Euclidean space. Using simple and illustrative examples for describing the free oscillations of the Earth and taking into account new visible event horizons related to the velocity of waves and light propagation, the author formulated and solved the fundamental wave equation of nature in the form of the three “great theorems”: Galilean, Lorentz, and Poincaré spatiotemporal transformations.

Author : Gordon J. F. Macdonald
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.40/5 ( download)

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Download or read book A Study of the Free Oscillations of the Earth written by Gordon J. F. Macdonald and published by . This book was released on 1962 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction -- Observations of the toroidal oscillations -- Equations of motion -- Effect of rotation on toroidal oscillations -- Core-mantle boundary condition -- Viscous interactions of core and mantle -- Electromagnetic interaction of core and mantle -- Effect of the steady toroidal magnetic field on the lower boundary of the mantle -- Distribution of energy -- Model calculations -- Origin of the low velocity layer -- References -- Appexdix A: list of symbols.

Author : Gordon J. F. MacDonald
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.52/5 ( download)

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Download or read book The Earth's Free Oscillations written by Gordon J. F. MacDonald and published by . This book was released on 1962 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Oleg V. Petrov
Publisher : Springer Nature
ISBN 13 : 3030675173
Total Pages : 113 pages
Book Rating : 4.72/5 ( download)

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Download or read book The Earth’s Free Oscillations written by Oleg V. Petrov and published by Springer Nature. This book was released on 2021-01-29 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the formulations and solutions of the wave equation for the Earth’s free oscillations concerning the particular nodal, bifurcation, perspectival, and projective reference points within the framework of the three “great geometries” of Euclid, Lobachevsky, and Riemann. When studying the relationship between the propagation velocity of various types of bulk and surface seismic waves with radial, spheroidal, and torsional eigen oscillations of the Earth having corresponding periods, we are struck by the fundamental problem of obtaining reference points that allow physical meaning to be attributed to all these discrete oscillatory and continuous wave phenomena that occur in nature. Several unsuccessful attempts tried to unify the relationship of discrete oscillations and the velocity of waves and light occurring in seismology and other phenomena associated with gravity and matter, using a three-dimensional visual space-time model continuous Euclidean space. Using simple and illustrative examples for describing the free oscillations of the Earth and taking into account new visible event horizons related to the velocity of waves and light propagation, the author formulated and solved the fundamental wave equation of nature in the form of the three “great theorems”: Galilean, Lorentz, and Poincaré spatiotemporal transformations.

Author : F. A. Dahlen
Publisher : Princeton University Press
ISBN 13 : 0691216150
Total Pages : 1040 pages
Book Rating : 4.57/5 ( download)

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Download or read book Theoretical Global Seismology written by F. A. Dahlen and published by Princeton University Press. This book was released on 2020-08-04 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt: After every major earthquake, the Earth rings like a bell for several days. These free oscillations of the Earth and the related propagating body and surface waves are routinely detected at broad-band seismographic stations around the world. In this book, F. A. Dahlen and Jeroen Tromp present an advanced theoretical treatment of global seismology, describing the normal-mode, body-wave, and surface-wave methods employed in the determination of the Earth's three-dimensional internal structure and the source mechanisms of earthquakes. The authors provide a survey of both the history of global seismological research and the major theoretical and observational advances made in the past decade. The book is divided into three parts. In the first, "Foundations," Dahlen and Tromp give an extensive introduction to continuum mechanics and discuss the representation of seismic sources and the free oscillations of a completely general Earth model. The resulting theory should provide the basis for future scientific discussions of the elastic-gravitational deformation of the Earth. The second part, "The Spherical Earth," is devoted to the free oscillations of a spherically symmetric Earth. In the third part, "The Aspherical Earth," the authors discuss methods of dealing with the Earth's three-dimensional heterogeneity. The book is concerned primarily with the forward problem of global seismology--detailing how synthetic seismograms and spectra may be calculated and interpreted. As a long-needed unification of theories in global seismology, the book will be important to graduate students and to professional seismologists, geodynamicists, and geomagnetists, as well as to astronomers who study the free oscillations of the Sun and other stars.

Author : Nori Nakata
Publisher : Cambridge University Press
ISBN 13 : 1108417086
Total Pages : 373 pages
Book Rating : 4.82/5 ( download)

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Download or read book Seismic Ambient Noise written by Nori Nakata and published by Cambridge University Press. This book was released on 2019-03-21 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of seismic ambient noise, covering observations, physical origins, modelling, processing methods and applications in imaging and monitoring.

Author : Niels Christensen
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.95/5 ( download)

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Download or read book Numerical Simulation of Free Oscillations of Enclosed Basins on a Rotating Earth written by Niels Christensen and published by . This book was released on 1972 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : D. E. Smylie
Publisher : Cambridge University Press
ISBN 13 : 052187503X
Total Pages : 559 pages
Book Rating : 4.35/5 ( download)

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Download or read book Earth Dynamics written by D. E. Smylie and published by Cambridge University Press. This book was released on 2013-03-07 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous overview of the solid Earth's dynamical behaviour, explaining the theory with methodology and online freeware for numerical implementation.

Author : A. Ben-Menahem
Publisher : Springer Science & Business Media
ISBN 13 : 1461258561
Total Pages : 1127 pages
Book Rating : 4.68/5 ( download)

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Download or read book Seismic Waves and Sources written by A. Ben-Menahem and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earthquakes come and go as they please, leaving behind them trails of destruc tion and casualties. Although their occurrence is little affected by what we do or think, it is the task of earth scientists to keep studying them from all possible angles until ways and means are found to divert, forecast, and eventually control them. In ancient times people were awestruck by singular geophysical events, which were attributed to supernatural powers. It was recognized only in 1760 that earthquakes originated within the earth. A hundred years later, first systematic attempts were made to apply physical principles to study them. During the next century scientists accumulated knowledge about the effects of earthquakes, their geographic patterns, the waves emitted by them, and the internal constitution of the earth. During the past 20 years, seismology has made a tremendous progress, mainly because of the advent of modern computers and improvements in data acquisi tion systems, which are now capable of digital and analog recording of ground motion over a frequency range of five orders of magnitude. These technologic developments have enabled seismologists to make measurements with far greater precision and sophistication than was previously possible. Advanced computational analyses have been applied to high-quality data and elaborate theoretical models have been devised to interpret them. As a result, far reaching advances in our knowledge of the earth's structure and the nature of earthquake sources have occurred.

Author : Oleg V. Petrov
Publisher :
ISBN 13 : 9783030675189
Total Pages : 0 pages
Book Rating : 4.81/5 ( download)

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Download or read book The Earth's Free Oscillations written by Oleg V. Petrov and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the formulations and solutions of the wave equation for the Earth's free oscillations concerning the particular nodal, bifurcation, perspectival, and projective reference points within the framework of the three "great geometries" of Euclid, Lobachevsky, and Riemann. When studying the relationship between the propagation velocity of various types of bulk and surface seismic waves with radial, spheroidal, and torsional eigen oscillations of the Earth having corresponding periods, we are struck by the fundamental problem of obtaining reference points that allow physical meaning to be attributed to all these discrete oscillatory and continuous wave phenomena that occur in nature. Several unsuccessful attempts tried to unify the relationship of discrete oscillations and the velocity of waves and light occurring in seismology and other phenomena associated with gravity and matter, using a three-dimensional visual space-time model continuous Euclidean space. Using simple and illustrative examples for describing the free oscillations of the Earth and taking into account new visible event horizons related to the velocity of waves and light propagation, the author formulated and solved the fundamental wave equation of nature in the form of the three "great theorems": Galilean, Lorentz, and Poincaré spatiotemporal transformations.