Numerical Laplace-Fourier transform inversion technique for layered-soil consolidation problems: I. Fundamental solutions and validation

DOI10.1002/nag.1610100402zbMath0589.73092OpenAlexW2024046000MaRDI QIDQ3718299

T. Harnpattanapanich, I. G. Vardoulakis

Publication date: 1986

Published in: International Journal for Numerical and Analytical Methods in Geomechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nag.1610100402

zbMATH Keywords

fundamental solutiondisplacement functionslayered soilsmediumgoverning partial differential equationsLaplace-Fourier transformationconsolidation problemsgoverning differential equations for the coupled poro-elasticgoverning differential equations for the coupled poro-elastic mediumnumerically inverting the transformationsreduced to ordinary differential equationssolution in the physical domain

Mathematics Subject Classification ID

Soil and rock mechanics (74L10) Numerical methods for integral transforms (65R10) Numerical and other methods in solid mechanics (74S99)

Related Items (11)

Extended precise integration method for consolidation of transversely isotropic poroelastic layered media ⋮ Deformation and fluid flow due to a source in a poro-elastic layer ⋮ 3-D consolidation of multilayered porous medium with anisotropic permeability and compressible pore fluid ⋮ Micromechanical computational modeling of secondary consolidation and hereditary creep in soils. ⋮ State space solution of non-axisymmetric biot consolidation problem for multilayered porous media ⋮ Transfer matrix solutions to axisymmetric and non-axisymmetric consolidation of multilayered soils ⋮ Transfer matrix solutions for three-dimensional consolidation of a multi-layered soil with compressible constituents ⋮ Plane strain consolidation of soil layer with anisotropic permeability ⋮ Analytical solutions describing the consolidation of a multi-layered soil under circular loading ⋮ Dynamics of fluids in layered porous media with anisotropic permeability under a point fluid source ⋮ Fast fourier transform of spectral boundary elements for transient heat conduction

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