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Acoustic Waves in Channels with Porous and Permeable Walls

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Abstract

The propagation of acoustic disturbances in a porous medium crossed by numerous cracks (double porosity medium) is a complex problem that we here simplify by investigating the acoustics of a permeable channel. We consider a fluid‐filled channel in two possible geometries, a slit or a cylindric pipe. The channel is surrounded by a porous medium (saturated with the same fluid) and is itself surrounded by an external medium. To simulate the average properties of the cracked rock, the external medium is either nonpermeable (few connections between cracks) or highly permeable (numerous connections). We present analytical and numerical results concerning acoustic disturbances of small amplitude generated in the channel, such as harmonic waves, step disturbanses and pulses.

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Authors and Affiliations

  1. Sterlitamak State Pedagogical Institute, Leninsky Prospekt 37, 453103, Sterlitamak, Russia

    V. Sh. Shagapov

  2. Institute of Mechanics, Ufa Branch, Russian Academy of Sciences, 6 Karl Marx Str., 45000, Ufa, Russia

    N. M. Khlestkina

  3. Laboratoire de Hodelisation en Mecanique, UPMC and CNRS, Tour 66, Case 162, 4 Place Tussieu, 75252, Pan's Cedexos, France

    D. Lhuillier

Authors
  1. V. Sh. Shagapov
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  2. N. M. Khlestkina
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  3. D. Lhuillier
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Shagapov, V.S., Khlestkina, N.M. & Lhuillier, D. Acoustic Waves in Channels with Porous and Permeable Walls. Transport in Porous Media 35, 327–344 (1999). https://doi.org/10.1023/A:1006507026697

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