Wave propagation in a poroelastic layer located on a poroelastic halfspace is studied. A fully saturated poroelastic medium is described using Biot’s mathematical model with four base functions—pore pressure and skeleton displacements. Viscoelastic behavior of porous medium due to viscoelastic properties of the skeleton is considered. The standard viscoelastic solid model is used. The boundary-value problem of the three-dimensional dynamic poroelasticity is written in terms of Laplace transforms. Direct approach of the boundary integral equation (BIE) method is employed. The boundary-element approach is based on the mixed boundary-element discretization of surface with generalized quadrangular elements. Time-step scheme for numerical inversion of the Laplace transforms is used obtain the solution of boundary value problem. To verify the boundary-element model, poroelastic solutions are compared with elastic ones.

Surface waves in dissipative poroviscoelastic layered half space: Boundary element analyses

Dell'Isola F.;
2019

Abstract

Wave propagation in a poroelastic layer located on a poroelastic halfspace is studied. A fully saturated poroelastic medium is described using Biot’s mathematical model with four base functions—pore pressure and skeleton displacements. Viscoelastic behavior of porous medium due to viscoelastic properties of the skeleton is considered. The standard viscoelastic solid model is used. The boundary-value problem of the three-dimensional dynamic poroelasticity is written in terms of Laplace transforms. Direct approach of the boundary integral equation (BIE) method is employed. The boundary-element approach is based on the mixed boundary-element discretization of surface with generalized quadrangular elements. Time-step scheme for numerical inversion of the Laplace transforms is used obtain the solution of boundary value problem. To verify the boundary-element model, poroelastic solutions are compared with elastic ones.
978-3-030-11664-4
978-3-030-11665-1
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/157545
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