22 August 2000 Biot poroelastic model of soils
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Abstract
Measurements of a soil surface using a laser Doppler vibrometer are associated with the vibration velocity of the solid particles. Therefore, to model these measurements the deformation of the solid granular frame must be described. To properly account for the coupling of sound into the earth's surface it must be modeled as a porous medium. One model described wave propagation through porous materials with a deformable framework was developed by Biot. Poro- elastic material, described by Biot, can support two dilatational waves and one rotational wave. The dilatational waves are usually referred to as fast, or type I, waves and slow, or type II, waves. These waves deform both the solid and fluid components as they propagation. An overview of the Biot poro-elastic model is presented. Laboratory measurements on an air-filled unconsolidated packing of sand, are discussed to illustrate the predicted behavior of poro-elastic materials. The sand was excited using an acoustic wave from an air-borne source. The transmitted waves were detected using geophones and microphones buried within the sand. These measurements are compared to those using a mechanical shaker in contact with the surface.
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Craig J. Hickey, Craig J. Hickey, James M. Sabatier, James M. Sabatier, } "Biot poroelastic model of soils", Proc. SPIE 4038, Detection and Remediation Technologies for Mines and Minelike Targets V, (22 August 2000); doi: 10.1117/12.396290; https://doi.org/10.1117/12.396290
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