PERTURBATION THEORY FOR THE INVERSION OF BODY WAVE TRAVEL-TIME DATA,

Abstract

Estimation of the internal elastic structure of the earth from body wave travel times ordinarily uses both arrival time data and the slope of a curve fitted to the observed travel times. There are well known difficulties in fitting such curves, particularly in cases where the observed travel times suggest a multivalued time function. A perturbation method is described in which an initial velocity distribution, which may be chosen to be in agreement with surface wave dispersion data over the region in question, is perturbed iteratively until the theoretical travel time function is in agreement, in the least-squares sense, with the observed data. The method does not require any estimate of the curve slope or multiplicity, nor does it require a particularly dense and complete data coverage over the entire distance range. Several phases can be used simultaneously. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 05, 1966
Accession Number
AD0630699

Entities

People

  • Charles B. Archambeau
  • Edward A. Flinn

Organizations

  • Teledyne Technologies

Tags

DTIC Thesaurus Topics

  • Agreements
  • Dispersions
  • Inversion
  • Perturbation Theory
  • Perturbations
  • Surface Waves
  • Travel Time
  • Waves

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Seismology