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Wave propagation in a one‐dimensional poroelastic column
Author(s) -
Schanz M.,
Cheng A. H.D.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20010811573
Subject(s) - biot number , laplace transform , poromechanics , longitudinal wave , mathematical analysis , inverse laplace transform , time domain , wave propagation , convolution (computer science) , mechanics , porous medium , physics , mathematics , porosity , geology , geotechnical engineering , optics , computer science , machine learning , artificial neural network , computer vision
In Biot's theory of porous media a second compressional wave, known as the slow wave, has been identified. An analytical solution in the Laplace transform domain is obtained showing clearly two compressional waves. For the special case of an inviscid fluid, a closed form exact solution in time domain is obtained using an analytical inverse Laplace transform. For the general case of a viscous fluid, solution in time domain is evaluated using the Convolution Quadrature Method of Lubich. Using properties of two different real materials, the wave propagating behavior, in terms of stress, pore pressure, displacement, and flux, are examined. Of most interest is the identification of second compressional wave and its sensitivity of material parameters.