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Acoustic and Elastic Wave Fields in Geophysics, I

Boulder, Colorado

Elsevier Science

Acoustic and Elastic Wave Fields in Geophysics, I

Release Date
2022-11-23

No data was found

 5/5

In Stock

Category
Earth Science

File Type
Book

Language
English

File Format
PDF

Year
1999

ISBN-10
0444503366

ISBN-13
9780444503367

Pages
514 pages

File Size
6.319 MB

Release Date
2022-11-23

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Book Summary

The “Acoustic and Elastic Wave Fields in Geophysics, I” book explores the essential physical principles that govern the propagation of acoustic and elastic waves, and it is split into two volumes. The first volume comprises eight chapters, along with detailed appendices that clarify the mathematical aspects of the topics discussed. The initial chapter explores Newton’s laws, which, along with Hooke’s law, govern the behavior of acoustic and elastic waves. These chapters utilize basic mechanics concepts to derive equations describing wave phenomena.

Subsequent chapters cover free and forced vibrations, wave propagation in one dimension using masses and springs to emulate a basic elastic medium, and the propagation of shear waves along strings, both finite and infinite.

In the first volume of “Acoustic and Elastic Wave Fields in Geophysics, I” book , Chapter 1 and Chapter 2 respectively delve into displaying Newton’s laws and particle motion, as well as free and forced vibrations. Moving on, Chapter 3 focuses on propagation, while Chapter 4 derives equations governing compressional waves, introducing concepts such as energy density, energy flux, and the Poynting vector.

Shifting our attention to Chapter 5, it centers on the propagation of spherical, cylindrical, and plane waves in homogeneous media, spanning both time and frequency domains. Chapter 6 delves into interference and diffraction, based on Helmholtz and Kirchhoff formulae, and provides an extensive examination of Fresnel’s and Huygens’s principles. Chapter 7 rounds off this volume by exploring the effects of wave interference with similar wave numbers and frequencies, introducing crucial concepts like wave groups, group velocity, and stationary phases, all of which are integral to comprehending dispersive wave propagation.