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Effect of fluid viscosity and saturation on the ultrasonic velocities in a Fontainebleau sandstone
Author(s) -
Khalatbari Azar,
VoThanh Dung,
Poirier JeanPaul
Publication year - 1991
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/91gl01067
Subject(s) - saturation (graph theory) , geology , mineralogy , viscosity , shear (geology) , thermodynamics , dispersion (optics) , geotechnical engineering , physics , mathematics , petrology , optics , combinatorics
Simultaneous measurements of the P‐ and S‐wave velocities at 1MHz frequency as a function of temperature from −80°C to 80°C have been made in a Fontainebleau sandstone saturated with glycerol. We investigated 8 saturation degrees, from fully saturated to almost dry state. Generally, the velocity decreases with increasing temperature; it is large between ≈ −40°C and ≈ 40°C. The velocity dispersion is attributed to viscous shear relaxation. The model of O'Connell and Budiansky modified by introducing the saturation parameter and a Gaussian distribution of crack aspect ratios is used to interpret the data. A trial and error method is used to estimate the model parameters. The model satisfactorily accounts for the data at high saturation.