Apparent and intrinsic Q: the one-dimensional case
Item
Title (Dublin Core)
en-US
Apparent and intrinsic Q: the one-dimensional case
Description (Dublin Core)
en-US
The propagation of plane waves through statistically layered media is investigated both numerically and with single-scattering theory in the one-dimensional case. Exact apparent or stratigraphic Q, Qs, is determined from synthetic seismograms with the spectral-ratio method. Maximum velocity (impedance) fluctuations up to 30% (~40%) are studied; the fluctuations are uniformly distributed with zero mean. In all cases the trend of Qs as a function of frequency is well described by the analytical Qs, as determined from single-scattering theory under the assumption of an exponential autocorrelation function of the impedance fluctuations. The frequency dependence of the analytical Qs-1 follows a Debye-peak function, its maximum is γ2/2 and corresponds to the wavelength 4πa (γ2 = variance of relative impedance fluctuation, a = correlation distance). In further numerical calculations intrinsic or anelastic Q, Qa, is introduced, and it is shown that total attenuation Q -1 agrees very well with the sum of apparent and anelastic attenuation, Qs-1+Qa-1. Finally, a simple, minimum-phase stratigraphic attenuation operator is derived which describes the amplitude decay and the dispersion in a one-dimensional random medium with good accuracy. Stratigraphic attenuation is similar to the anelastic attenuation of a standard linear solid.
ARK: https://n2t.net/ark:/88439/y038753
Permalink: https://geophysicsjournal.com/article/119
ARK: https://n2t.net/ark:/88439/y038753
Permalink: https://geophysicsjournal.com/article/119
Creator (Dublin Core)
Gorich, U.
Muller, G.
Subject (Dublin Core)
en-US
Quality factor
en-US
Stratigraphic attenuation
en-US
Single-scattering theory
en-US
Theory
Publisher (Dublin Core)
en-US
Journal of Geophysics
Date (Dublin Core)
1987-04-23
Type (Dublin Core)
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
en-US
Peer-reviewed Article
Format (Dublin Core)
application/pdf
Identifier (Dublin Core)
https://journal.geophysicsjournal.com/JofG/article/view/119
Source (Dublin Core)
en-US
Journal of Geophysics; Vol 61 No 1 (1987): Journal of Geophysics; 46-54
2643-2986
2643-9271
Language (Dublin Core)
eng
Relation (Dublin Core)
https://journal.geophysicsjournal.com/JofG/article/view/119/81