Wave field of a vibrator on a layered half‐space: Theory and practice

1988 ◽  
Author(s):  
G. J. M. Baeten ◽  
F. P. L. Strijbos
Keyword(s):  
Wave Field ◽  
Half Space ◽  
Theory And Practice ◽  
Space Theory ◽  
Layered Half Space

Seismic Waves in a Laterally Inhomogeneous Layered Medium, Part I: Theory

1997 ◽  
Vol 64 (1) ◽  
pp. 50-58 ◽  
Author(s):  
Ruichong Zhang ◽  
Liyang Zhang ◽  
Masanobu Shinozuka
Keyword(s):  
Wave Field ◽  
Half Space ◽  
Seismic Waves ◽  
Scattered Wave ◽  
Inhomogeneous Layer ◽  
Dislocation Source ◽  
Seismic Dislocation ◽  
Body Forces ◽  
The Mean ◽  
Layered Half Space

Seismic waves in a layered half-space with lateral inhomogeneities, generated by a buried seismic dislocation source, are investigated in these two consecutive papers. In the first paper, the problem is formulated and a corresponding approach to solve the problem is provided. Specifically, the elastic parameters in the laterally inhomogeneous layer, such as P and S wave speeds and density, are separated by the mean and the deviation parts. The mean part is constant while the deviation part, which is much smaller compared to the mean part, is a function of lateral coordinates. Using the first-order perturbation approach, it is shown that the total wave field may be obtained as a superposition of the mean wave field and the scattered wave field. The mean wave field is obtainable as a response solution for a perfectly layered half-space (without lateral inhomogeneities) subjected to a buried seismic dislocation source. The scattered wave field is obtained as a response solution for the same layered half-space as used in the mean wave field, but is subjected to the equivalent fictitious distributed body forces that mathematically replace the lateral inhomogeneities. These fictitious body forces have the same effects as the existence of lateral inhomogeneities and can be evaluated as a function of the inhomogeneity parameters and the mean wave fleld. The explicit expressions for the responses in both the mean and the scattered wave fields are derived with the aid of the integral transform approach and wave propagation analysis.

scholarly journals Study of Input Parameters of Layered Half-Space used for Soil Modelling

2020 ◽  
Vol 15 ◽  
Keyword(s):  
Half Space ◽  
Space Theory ◽  
Ansys Software ◽  
Foundation Soil ◽  
Soil Modelling ◽  
Accurate Procedure ◽  
Model Size ◽  
Experimental Values ◽  
Subsoil Model ◽  
Layered Half Space

This article deals with a problem of soil modeling. That is a necessary part of foundation modeling.The soil modeling can directly influent the resulting deformation of the foundations and therefore deformationof the whole building. The accurate procedure that can simulate the foundation-soil interaction is still unknown.A greater understanding of the issue through experiments and numerical modeling is important for a goodapplication and proper use in practice. To improve this understanding an experimental test of a concrete slabwas performed on special testing equipment. The experiment is complemented by numerical modeling.Numerical models are created in the Ansys software. The article features three cube models and a half-spheremodel. Deformations on all featured models are discussed and compared to the experimental values andsimplified hand calculation. The subsoil model is based on the Boussinesq half-space theory. The soil section isassumed homogeneous and layered. The size of models is assumed as a changing parameter from 10 m to 30 m.A recommended model size was evaluated from the parametric study as a match of deformation from modelsand the experiment. This computed model size is compared with an affected depth described by the standardČSN 731001. Computation was performed using supercomputer Anselm in the National SupercomputingCenter IT4Innovations in the VSB-Technical University of Ostrava.

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