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Time-domain equations for sound propagation in rigid-frame porous media (L)

J. Acoust. Soc. Am. Volume 116, Issue 4, pp. 1889-1892 (2004); (4 pages)

D. Keith Wilson1, Vladimir E. Ostashev2,3, and Sandra L. Collier4

1U.S. Army Engineer Research and Development Center, 72 Lyme Road, Hanover, New Hampshire 03755-1290
2NOAA Environmental Technology Laboratory, Boulder, Colorado 80305
3Physics Department, New Mexico State University, Las Cruces, New Mexico 88003
4U.S. Army Research Laboratory, AMSRD-ARL-CI-EE, 2800 Powder Mill Road, Adelphi, Maryland 20783-1197

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A general set of time-domain equations describing linear sound propagation in a rigid-frame, gas-saturated porous medium is derived. The equations, which are valid for all frequencies, are based on a relaxational model for the viscous and thermal diffusion processes occuring in the pores. The dissipative terms in the equations involve convolutions of the acoustic fields with the impulse response of the medium. It is shown that the equations reduce to previously known results in the limits of low and high frequencies. Alternative time-domain equations are also derived based on a Padé approximation.

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KEYWORDS and PACS

PACS

  • 43.20.Bi

    Mathematical theory of wave propagation

  • 43.55.Ev

    Sound absorption properties of materials: theory and measurement of sound absorption coefficients; acoustic impedance and admittance

ARTICLE DATA

History
Received 17 Feb 2004
Accepted 06 Jul 2004
Revised 30 Jun 2004

PUBLICATION DATA

ISSN

0001-4966 (print)  

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