Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

1 results

  • 10 - Plane Waves in Anelastic Media

  • Edward S. Krebes, University of Calgary
  • Book:
    Seismic Wave Theory
    Published online:
    15 March 2019
    Print publication:
    28 March 2019, pp 312-333

  • Summary

    For simplicity, calculations in seismic wave theory often assume that the Earth is perfectly elastic. But the real Earth is anelastic, meaning that wave energy is absorbed by internal friction effects. This chapter gives an introductory account of the mathematical theory of seismicwave propagation in anelastic media. The important concepts of the quality factor (Q), the loss factor (1/Q) ,and the complex modulus are introduced. The necessity for including dispersion in computations of the shapes of waveforms in anelastic media is demonstrated. Spring-dashpot models for describing anelastic media, and the more general linear theory of viscoelasticity, are introduced. The nature of Q in the Earth is discussed. The 1D and 3D equations of motion in anelastic media, and their plane wave solutions, are derived. The concept of general plane waves (including homogeneous and inhomogeneous plane waves) is introduced.Reflection and transmission of plane waves, as well as particle motion, in anelastic media are briefly discussed. The theory of exactly constant Q is briefly covered.