Normal Modes of a Laterally Heterogeneous Body : a One-dimensional Example

  title={Normal Modes of a Laterally Heterogeneous Body : a One-dimensional Example},
  author={Robert J Geller and Seth Stein},
Various methods, including firstand second-order perturbation theory and variational methods have been proposed for calculating the normal modes of a laterally heterogeneous earth. In this paper, we test all three of these methods for a simple one-dimensional example for which the exact solution is available: an initially homogeneous "string" in which the density and stiffness are increased in one half and decreased in the other by equal amounts. It is found that first-order perturbation theory… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 25 references

Velocity and Q of mantle waves, Phys. Earth Planet Interiors 2,259-275

  • H. Kanamori
  • Lapwood, E. R
  • 1970
Highly Influential
7 Excerpts

A procedure for estimating lateral variations from low - frequency eigenspectra data , preprint

  • T. H. Jordan
  • 1977

A procedure for estimating lateral variations from low-frequency eigen

  • T. H. Jordan
  • 1977
1 Excerpt

A variational approach to earth dynamics

  • I. M. Johnson, D. E. Smylie
  • Geophys . J .
  • 1977

Asymptotic overtone structure in eigenfrequencies of torsional normal modes of the earth , a model study

  • J. R. Cleary
  • Geophys . J .
  • 1977

The effect of discontinuities in density and shear velocity on the asymptotic overtone structure of torsional eigenfrequencies of the earth

  • th--I, overtone structure, J Geophys., R. S. 241-268. Anderssen
  • Geophys. J. 59,303-310
  • 1977

The effect of intrinsic oceanic uppermantle heterogeneity on regionalization of long period Rayleighwave phase velocities

  • E. A. Okal
  • Geophys . J .
  • 1977

A fast new computational algorithm for free Oscillations and surface waves

  • R. A. Wiggins
  • Geophys . J .
  • 1976

Asymptotic behavior of the eigenvalues of a SturmLiouville system with discontinuous coefficients

  • A' McNabb, R. S. Anderssen, E. R. Lapwood
  • J . Math . Anal . Appl .
  • 1976

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