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.