Stiffness matrices for fluid and anisotropic soil layers with applications in soil dynamics

In this study, we introduce and discuss features and improvements of the well-established stiffness matrix method that is used in simulation of wave propagation in layered media. More specifically, we present stiffness matrices for an acoustic layer and a vertically transverse isotropic (VTI) viscoe...

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Bibliographic Details
Published in:Soil dynamics and earthquake engineering (1984) 2018-12, Vol.115, p.169-182
Main Authors: Park, Joonsang, Kaynia, Amir M.
Format: Article
Language:English
Subjects:
Anisotropy
Computer simulation
Discontinuity seismic source
Elastic waves
Fluid-soil coupling
Foundation impedances
Geophysics
Mathematical models
Perfectly matched layers
PML
Propagation
Simulation
Soil dynamics
Soil layers
Soils
Stiffness matrix
Stiffness matrix method
Vertically transverse isotropy (VTI)
Viscoelasticity
Wave propagation
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Summary:In this study, we introduce and discuss features and improvements of the well-established stiffness matrix method that is used in simulation of wave propagation in layered media. More specifically, we present stiffness matrices for an acoustic layer and a vertically transverse isotropic (VTI) viscoelastic soil layer. Combining these stiffness matrices enables a straightforward technique for modeling of acousto-elastic wave propagation in layered infinite media. In addition, we propose a technique to simulate discontinuity seismic sources, which was not used earlier in the context of the stiffness matrix method. Finally, we propose a framework to derive a key parameter of the absorbing boundary domain technique Perfectly Matched Layer (PML). Numerical examples are presented in order to help understanding the features and improvements discussed in the study from the fields of geophysics and soil dynamics. It is believed that the features and improvements discussed herein will make the application of the stiffness matrix method even wider and more flexible. •Extension of Kausel & Roesset stiffness matrix for layered soil to anisotropy. •Incorporation of fluid layer and handling of discontinuity seismic sources.•Effect of soil anisotropy on foundation impedances.•Analysis and features of surface (Rayleigh and Love) waves in anisotropic media.•Derivation of parameters of Perfectly Matched Layer (PML) technique.
ISSN:0267-7261
1879-341X
DOI:10.1016/j.soildyn.2018.06.030