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Boundary Element Formulation for Partially Saturated Poroelastic Media
A lot of applications, especially in geomechanics, require the computation of waves in porous media, e.g., earthquake waves in soil. Soil and other geomaterials are partial saturated poroelastic materials. Having waves in semi-infinite domains in mind, a boundary element formulation for such materials seems to be preferable. A linear theory for partial saturated poroelasticity is formulated based on the mixture theory, resulting in a set of coupled partial differential equations for the solid displacements and the pore pressures of both fluids. For such a system, fundamental solutions are derived in Laplace domain with the method of Hörmander. The integral equations can be deduced based on the weighted residual technique. A standard discretisation in the spatial variable and the convolution quadrature for time discretisation yield, finally, a time-stepping procedure for dynamic processes in partial saturated poroelastic media. The validation of this method is done with the help of a 1D semi-analytical solution for a column. Finally, waves in a poroelastic half space are studied.
Boundary Element Formulation for Partially Saturated Poroelastic Media
A lot of applications, especially in geomechanics, require the computation of waves in porous media, e.g., earthquake waves in soil. Soil and other geomaterials are partial saturated poroelastic materials. Having waves in semi-infinite domains in mind, a boundary element formulation for such materials seems to be preferable. A linear theory for partial saturated poroelasticity is formulated based on the mixture theory, resulting in a set of coupled partial differential equations for the solid displacements and the pore pressures of both fluids. For such a system, fundamental solutions are derived in Laplace domain with the method of Hörmander. The integral equations can be deduced based on the weighted residual technique. A standard discretisation in the spatial variable and the convolution quadrature for time discretisation yield, finally, a time-stepping procedure for dynamic processes in partial saturated poroelastic media. The validation of this method is done with the help of a 1D semi-analytical solution for a column. Finally, waves in a poroelastic half space are studied.
Boundary Element Formulation for Partially Saturated Poroelastic Media
Li, Peng (author) / Schanz, Martin (author)
Fifth Biot Conference on Poromechanics ; 2013 ; Vienna, Austria
Poromechanics V ; 834-843
2013-06-18
Conference paper
Electronic Resource
English
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