scholarly journals Ground motion on alluvial valleys under incident plane SH waves

1991 ◽  
Vol 33 (2) ◽  
pp. 240-253 ◽  
Author(s):  
David L. Clements ◽  
Ashley Larsson
Keyword(s):  
Numerical Solution ◽  
Integral Equations ◽  
Ground Motion ◽  
Boundary Integral Equations ◽  
Layered Material ◽  
Boundary Integral ◽  
Alluvial Valley ◽  
Sh Waves ◽  
Incident Plane ◽  
Plane Sh Waves

AbstractThe scattering and diffraction of harmonic SH waves by an arbitrarily shaped alluvial valley in a layered material is considered. The problem is solved in terms of boundary integral equations which yield a numerical solution.

A note on surface motion of inhomogeneous alluvial valleys due to incident plane SH waves

1994 ◽  
Vol 84 (1) ◽  
pp. 192-201
Author(s):  
David L. Clements ◽  
Ashley Larsson
Keyword(s):  
Numerical Solutions ◽  
Boundary Integral Equations ◽  
Layered Material ◽  
Boundary Integral ◽  
Sh Waves ◽  
New Formalism ◽  
Surface Motion ◽  
Wave Solutions ◽  
Incident Plane ◽  
Plane Sh Waves

Abstract The scattering and diffraction of harmonic SH waves by an arbitrarily shaped inhomogeneous alluvial valley in a layered material is considered. A new formalism is used to obtain the appropriate wave solutions for inhomogeneous media, and these are employed together with the boundary integral equations to obtain numerical solutions for some important particular problems.

Ground Motion at a Semi-Cylindrical Valley Partially Filled with a Crescent-Shaped Soil Layer Under Incident Plane SH Waves

2017 ◽  
Vol 11 (03) ◽  
pp. 1750007 ◽  
Author(s):  
Ning Zhang ◽  
Yufeng Gao ◽  
Denghui Dai
Keyword(s):  
Ground Motion ◽  
Soil Layer ◽  
Topographic Effects ◽  
Soil Amplification ◽  
Alluvial Valley ◽  
Sh Waves ◽  
Topographic Amplification ◽  
Incident Plane ◽  
Irregular Topography ◽  
Plane Sh Waves

To elucidate the ground motion amplification due to soil and topographic effects, an analytical formulation based on wavefunction expansion is derived for the scattering of plane SH waves by a semi-cylindrical valley partially filled with a crescent-shaped soil layer. The site responses consisting of both soil and topographic effects from the partially filled alluvial valley and the pure topographic contribution from the homogeneous valley of the same geometry are calculated and compared. It is found that the soil amplification effects are usually larger than the topographic amplification effects within the alluvial valley, while the topographic effects dominate the amplification pattern of ground motions outside the alluvial valley. Generally, the maximum soil amplification generally far outweighs the maximum topographic amplification. The material parameters and filling degree of the soil layer are found to affect the magnitude and the pattern of ground motion amplitude on the valley surface depending on the irregular topography, the frequency content and obliquity of the wave incidence.

scholarly journals Preconditioners for hierarchical matrices based on their extended sparse form

2016 ◽  
Vol 31 (1) ◽  
Author(s):  
Darya A. Sushnikova ◽  
Ivan V. Oseledets
Keyword(s):  
Numerical Solution ◽  
Linear Systems ◽  
Integral Equations ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Hierarchical Matrices ◽  
Dense Matrices

AbstractIn this paper we consider linear systems with dense-matrices which arise from numerical solution of boundary integral equations. Such matrices can be well-approximated with ℋ

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