A Random Model for Half-Amplitude Decay Times of Rayleigh Waves Extended Array Evaluation Program

Abstract

An approach to prediction of long-period Rayleigh wave signal persistence is taken through 'mean-time-between-failure' and 'waiting time' stochastic models. The estimate applies only to the generalized case of a network of recording stations and wide spatial distribution of earthquake sources. Rayleigh waves from Eurasian earthquakes reocrded on Very Long Period Experiment systems were analyzed to obtain data for the study. Successive time intervals between the maximum recorded amplitude, A , and the latest point of recorded signal equal to A/2, the time between A/2 and A/4, A/4 and A/8, and etc. were measured until the signal amplitude reached tha ambient noise level. Resulting 'half-amplitude decay times' (Wn) were found to follow a gamma probability law. The distribution of observed Wn fits this law with 0.90 confidence or greater according to the Chi-squared criterion. The results indicate that the probability distribution of half-amplitude decay times in earthquake Rayleigh waves can be readily estimated using appropriate gamma distribution parameters.

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Document Details

Document Type
Technical Report
Publication Date
Jan 25, 1973
Accession Number
AD0759274

Entities

People

  • David G. Lambert
  • Stephen A. Alsup

Organizations

  • Texas Instruments

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Databases
  • Earthquakes
  • Goodness Of Fit Tests
  • New Jersey
  • Noise
  • Observation
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Rayleigh Waves
  • Spatial Distribution
  • Stochastic Processes
  • Surface Waves
  • Time Intervals
  • Waves

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Seismology
  • Statistical inference.