Title: A spectral element method for 2-dimensional wave-propagation in horizontally layered saturated porous-media
Authors: Degrande, Geert ×
De Roeck, Guido #
Issue Date: Jan-1992
Publisher: Pergamon-elsevier science ltd
Series Title: Computers & structures vol:44 issue:4 pages:717-728
Abstract: The general equilibrium equations describing the dynamic response of a porous saturated medium form a system of couples hyperbolic partial differential equations. Restricting to two-dimensional plane strain wave propagation, an analytical solution for the dilatational and shear wave contributions to the displacement vectors can be found by a transformation of the generalized coordinates (x, z, t) to (k(x), z, omega). A spectrally formulated element uses these frequency and horizontal wave number dependent eigenvectors as shape functions in a displacement formulation. The mass distribution is treated exactly without the need to subdivide an element into smaller elements and therefore, wave propagation is treated exactly. Saturated throw-off and layer elements are developed and enable-together with the dry elements as proposed by Rizzi and Doyle-the study of the harmonic and transient response of horizontally layered saturated and dry porous media. The benefits of the solution method are demonstrated by a numerical example.
ISSN: 0045-7949
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Structural Mechanics Section
× corresponding author
# (joint) last author

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