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Acoustic wave propagation in composite fluid-saturated media

J. David Keller
Acoustic wave propagation in composite fluid-saturated media
Geophysics (December 1989) 54 (12): 1554-1563

Abstract

Biot's linear model of stress-wave propagation in a fluid-saturated elastic framework is combined with a linear theoretical description of an inelastic frame to describe fluid-saturated media in terms of a composite model. The composite model, the Constant Q (CQ) model, assumes an inelastic frame with frequency-dependent complex elastic moduli and results in a frame response that is causal with Q exactly independent of frequency.The influence of frame inelasticity on the composite-model Type I (compression), Type II, and shear-wave attenuation response is found to be greatest for high and low frequencies, considering a frequency range of 10-10 (super 7) Hz. The model is most sensitive to variations in permeability and pore-size parameter for both attenuation and phase-velocity responses. Parameter variations showed little effect on shear-wave attenuation for a fine to coarse sand-size frame matrix, indicating a fluid mechanism is responsible for the influence seen in Type I and Type II attenuations.The CQ model results fit the experimentally measured values of Type I attenuation and velocity for a fully saturated fine-grained frame material (clay-silt size grains) and a fully saturated coarse-grained frame material (fine to coarse sand-size grains). For Type I velocity, the experimentally observed dispersion clearly distinguishes the CQ model as superior to composite models that include a nondispersive frame, since such models predict very little dispersion due only to interpore fluid mechanisms.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 54
Serial Issue: 12
Title: Acoustic wave propagation in composite fluid-saturated media
Author(s): Keller, J. David
Affiliation: Unocal Sci. and Technol. Div., Brea, CA, United States
Pages: 1554-1563
Published: 198912
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 32
Accession Number: 1989-077046
Categories: Economic geology, geology of energy sourcesApplied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus.
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States
Update Code: 1989
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