Anelastic degradation of acoustic pulses in rock

Details Anelastic degradation of acoustic pulses in rock Anelastic degradation of acoustic pulses in rock

Jun 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974pepi....8..332g&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 8, Issue 4, p. 332-336.

Physics

36

Scientific paper

Measurements on acoustic pulses propagating in massive rock lead to a simple empirical relationship between the pulse rise time, τ and the time of propagation of a pulse, t: τ=τ0+C∑∫)TQ-1dt where τ0 is the initial rise time (at t = 0), Q is the anelastic parameter which may be expressed in terms of the fractional loss of energy per cycle of a sinusoidal wave, Q = 2π(ΔE/E)-1, and is assumed to be essentially independent of frequency, and C is a constant whose value we estimate experimentally to be 0.53 +/- 0.04. Of the linear theories of seismic pulse attenuation, model 2 of Azimi et al. (1968) is favoured. Pulse shapes computed from equations of Futterman (1962) also give C = 0.5, but the pulse arrives earlier than in a non-attenuating medium with the same elasticity and density. Pulse shapes calculated using Strick's (1967, 1970, 1971) theory give values of C incompatible with our results. The observations suggest that a method of estimating the Q-structure of the earth from seismic pulse rise times may have a particular advantage over the spectral ratio method.

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