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Dispersion and attenuation due to scattering from heterogeneities of the frame bulk modulus of a poroelastic medium
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10.1121/1.3365316
/content/asa/journal/jasa/127/6/10.1121/1.3365316
http://aip.metastore.ingenta.com/content/asa/journal/jasa/127/6/10.1121/1.3365316

Figures

Image of FIG. 1.
FIG. 1.

(a) Fast compressional sound speed and (b) attenuation determined from Eq. (41) with given by Eq. (54) as a function of the variance of the moduli variations normalized by . Both the sound speed and the attenuation have been normalized by their respective values when . These results were calculated for using the SAX99 sediment parameters in Table I, while the value of the mean bulk modulus was increased from for the solid line, to for the short-dashed line, and to for the long-dashed line.

Image of FIG. 2.
FIG. 2.

Values of for which remains equal to for the SAX99 sediment parameters (solid line) and the sintered glass bead parameters (dash-dot line) as is increased by three orders of magnitude.

Image of FIG. 3.
FIG. 3.

Examples of (a) sound speed ratio and (b) attenuation for the SAX99 sediment, assuming an exponential correlation for the frame bulk modulus variations. The correlation length is held fixed at , while the variance and the mean bulk modulus are increased. The variance is shown in the figures and the mean bulk modulus is (long-dashed line), (short-dashed line), and (long-short dashed line). In (a) the sound speed ratio is defined as the sound speed of the sediment normalized by the sound speed of the pore fluid. In (b) the lower set of curves is the contribution of the scattering from the fast compressional waves into the slow compressional waves to the attenuation of the mean fast compressional wave. The solid line in each figure is the prediction of Biot theory with no variation in the bulk modulus and .

Image of FIG. 4.
FIG. 4.

Examples of sound speed ratio and attenuation for the sintered glass beads, assuming an exponential correlation for the frame bulk modulus variations. In (a) and (b), the correlation length is held fixed at , while the variance and the mean bulk modulus are increased. The variance is shown in the figures and the mean bulk modulus is (long-dashed line), (short-dashed line), and (long-short dashed line). In (c) and (d), the variance and mean bulk modulus are held fixed at and . The solid line in each figure is the prediction of Biot theory for the sintered glass beads with no variation in the bulk modulus and . In (a) and (c) the sound speed ratio is defined as the sound speed of the sediment normalized by the sound speed of the pore fluid.

Image of FIG. 5.
FIG. 5.

Examples of (a) sound speed ratio and (b) attenuation for the sintered glass bead pack, assuming a von Kármán function for the frame bulk modulus variations. The correlation length for each curve is held fixed at , the variance is , and the mean bulk modulus is . The Hurst coefficient is (long-dashed line), (short-dashed line), and (long-short dashed line). In (a) the sound speed ratio is defined as the sound speed of the sediment normalized by the sound speed of the pore fluid.

Tables

Generic image for table
TABLE I.

Parameters used in calculating Biot results unless otherwise stated. The values in the column of parameters labeled “SAX99 Sand” correspond to the values in Table I of Ref. 6 for the best fit to the sound speed and attenuation measured during SAX99. Note that for the frame moduli, the imaginary parts have been removed and the moduli are assumed to be purely real. The values in the column of parameters labeled “Sintered Glass Beads” were determined from the parameters listed for the sintered glass bead sample B in Table III of Ref. 30.

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/content/asa/journal/jasa/127/6/10.1121/1.3365316
2010-06-09
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Dispersion and attenuation due to scattering from heterogeneities of the frame bulk modulus of a poroelastic medium
http://aip.metastore.ingenta.com/content/asa/journal/jasa/127/6/10.1121/1.3365316
10.1121/1.3365316
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