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Numerical Evaluation of the Amplification Characteristic of Randomly Heterogeneous Alluvial Deposits

  • Reza Jamshidi ChenariEmail author
  • Shirin Aminzadeh Bostani Taleshani
Original Paper
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Abstract

The estimation of the local site effects, which is inherently stochastic, on the amplitude and the frequency content of seismic wave through alluvial deposits, is an important and substantial step in the seismic risk mitigation. To this end, the random field theory along with the Monte Carlo simulations was employed to evaluate ground response of a half-space viscoelastic medium under stochastic variation of the shear wave velocity (SWV) adopted from five different sites. The results of the stochastic analyses are then compared to the deterministic computations assuming hyperbolic variation of SWV. This study will emphasize the importance of the stochastic variation of the shear wave velocity profile. An eminent input from the current study is that the sole consideration of the deterministic component in site response analyses is not well representative of the real seismic behavior of the alluvial deposits.

Keywords

Heterogeneity Site response Alluvial deposits Monte Carlo simulations Random field theory 

List of symbols

A

Correlation matrix

Am and Bm

Recursion site response coefficients for layered deposits

CoV

Coefficient of variation of shear wave velocity

d

Ratio of surface to base shear wave velocities

f1 and f2

“Level-off” parameters

fn1

First-mode natural frequency of the soil deposit

F1, F2, F3

FDM constants

F(ω)

Transfer function

G

Soil shear modulus

G*

Soil complex shear modulus

H

Soil layer’s thickness

i

Complex number (i2 = 1)

k*

Complex wave number

L

Lower triangular matrix

Lv

Vertical correlation distance

m

Layer number

NOR

Number of realizations

p

Probability variable

T

Elastic shear stress tensor

T(z)

Depth-dependent stress amplitude

t

Time domain

t(z)

Deterministic “trend” component of a geotechnical property

u (z, t)

Horizontal displacement at depth z and time t

U(z)

Depth-dependent displacement amplitude

V0

Surface shear wave velocity

VH

Base shear wave velocity

Vs

Shear wave velocity

Vs,det

Deterministic component of shear wave velocity profile

Vs,Eq

Equivalent shear wave velocity

Vs,s

Stochastic component of shear wave velocity profile

Vs30

Average shear wave velocity of the upper 30 m of a soil profile

w(z)

Stochastic “off-trend” component of a geotechnical property

z

Depth below the ground surface

αm*

Complex impedance ratio

ξ

Viscous damping

ζ(z)

In situ geotechnical property

θ

Vertical scale of fluctuation

μ

Mean shear wave velocity

ρ

Soil mass density

σ

Standard deviation

τ

Lag distance

ω

Angular frequency

ε (z, p)

Gaussian random vector field

Notes

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Copyright information

© Indian Geotechnical Society 2019

Authors and Affiliations

  1. 1.Department of Civil EngineeringUniversity of GuilanRashtIran

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