Wave propagation in a one-dimensional poroelastic column

Citation
M. Schanz et Ahd. Cheng, Wave propagation in a one-dimensional poroelastic column, Z ANG MA ME, 81, 2001, pp. S591-S592
Citations number
2
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
81
Year of publication
2001
Supplement
3
Pages
S591 - S592
Database
ISI
SICI code
0044-2267(2001)81:<S591:WPIAOP>2.0.ZU;2-K
Abstract
In Blot's theory of porous media a second compressional wave, known as the slow wave, has been identified. An analytical solution in the Laplace trans form domain is obtained showing clearly two compressional waves. For the sp ecial case of an inviscid fluid, a closed form exact solution in time domai n is obtained using an analytical inverse Laplace transform. For the genera l case of a viscous fluid, solution in time domain is evaluated using the C onvolution Quadrature Method of Lubich. Using properties of two different T eal materials, the wave propagating behavior, in terms of stress, pore pres sure, displacement, and flux, are examined. Of most interest is the identif ication of second compressional wave and its sensitivity of material parame ters.