Abstract
The Biot-Stoll model for acoustic propagation in poroelastic saturated sediments includes the frequency-dependent effects of viscous drag within the pores by means of a viscosity correction function and a pore shape parameter. An alternative approach for the description of the acoustical characteristics of rigid-framed porous media allows for viscous action through a frequency-dependent effective density of air in the pores. This approach introduces a pore shape factor ratio as a parameter. The Biot-Stoll pore shape parameter may be re-interpreted in terms of the shape factor ratio. The two approaches should be reconciled if the solid displacement in the Biot-Stoll theory is set equal to zero. It is shown that reconciliation is possible only if the Biot-Stoll viscosity correction function is multiplied by the square of shape factor ratio. Support for this modification is provided by acoustical data for dry soils and sands. The consequent sensitivity of the modified Biot-Stoll theory to assumed pore shape in saturated sediments is explored.
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© 1986 Plenum Press, New York
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Attenborough, K. (1986). Pore Shape and the Biot-Stoll Model for Saturated Sediments. In: Akal, T., Berkson, J.M. (eds) Ocean Seismo-Acoustics. NATO Conference Series, vol 16. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2201-6_42
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DOI: https://doi.org/10.1007/978-1-4613-2201-6_42
Publisher Name: Springer, Boston, MA
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