A Wavelet Analysis of Ground Motion Characteristics R. Z. Sarica M. S. Rahman.

Slides:

Advertisements

Similar presentations

DCSP-11 Jianfeng Feng

Advertisements

Ground Motions Geotechnical Earthquake Engineering: Steve Kramer

Characterizing Non- Gaussianities or How to tell a Dog from an Elephant Jesús Pando DePaul University.

Name: Amanda Tondreau Liquefaction is an earthquake- related hazard that causes unstable land and poses risks to building infrastructure.

Wavelet Transform Modulus Maxima ridge and its application on Stratigraphic Profiling STUDENT: R CHUN-HSIANG WANG LECTURER: JIAN-JIUN DING DATE:

NGA Site Response Study Joseph Sun, Tom Shantz, Zhi-Liang Wang.

For any given time series, g(t), the Fourier spectrum is: FOURIER SPECTRUM: Time Domain (TD)-Frequency-Domain (FD) and vice- versa Dr. Sinan Akkar Strong.

Prague, March 18, 2005Antonio Emolo1 Seismic Hazard Assessment for a Characteristic Earthquake Scenario: Integrating Probabilistic and Deterministic Approaches.

Modeling Seismic Response for Highway Bridges in the St. Louis Area for Magnitude 6.0 to 6.8 Earthquakes J. David Rogers and Deniz Karadeniz Department.

MODULATION SPECTRUM EQUALIZATION FOR ROBUST SPEECH RECOGNITION Source: Automatic Speech Recognition & Understanding, ASRU. IEEE Workshop on Author.

Introduction : Time-Frequency Analysis HHT, Wigner-Ville and Wavelet.

Overview of NGA Database, Model Development to Date, and Next Steps PEER-NGA Workshop April 12, 2005.

On the Marginal Hilbert Spectrum. Outline Definitions of the Hilbert Spectra (HS) and the Marginal Hilbert Spectra (MHS). Computation of MHS The relation.

Yousef Bozorgnia, Mahmoud Hachem, Kenneth Campbell PEER GMSM Workshop, UC Berkeley October 27, 2006 Attenuation of Inelastic Spectra and Its Applications.

On the Marginal Hilbert Spectrum. Outline Definitions of the Hilbert Spectrum (HS) and the Marginal Hilbert Spectrum (MHS). Computation of MHS The relation.

Analogue and digital techniques in closed loop regulation applications Digital systems Sampling of analogue signals Sample-and-hold Parseval’s theorem.

Ground Motion Parameters Measured by triaxial accelerographs 2 orthogonal horizontal components 1 vertical component Digitized to time step of

Fourier Series Motivation (Time Domain Representation) (Frequency Domain Representation)

Leakage & Hanning Windows

Comparison of Recorded and Simulated Ground Motions Presented by: Emel Seyhan, PhD Student University of California, Los Angeles Collaborators: Lisa M.

Wavelet Transforms CENG 5931 GNU RADIO INSTRUCTOR: Dr GEORGE COLLINS.

26 July 2013 Símon Ólafsson, EERC

Applications of Fourier Transform. Outline Sampling Bandwidth Energy density Power spectral density.

Electrical and Computer Systems Engineering Postgraduate Student Research Forum 2001 WAVELET ANALYSIS FOR CONDITION MONITORING OF CIRCUIT BREAKERS Author:

A Study on Liquefaction Evaluation Using Shear Wave Velocity for Gravelly Sand Deposits Ping-Sien Lin, National Chung-Hsing University Fu-Sheng Chen, China.

1 The Fourier Series for Discrete- Time Signals Suppose that we are given a periodic sequence with period N. The Fourier series representation for x[n]

Chapter 4: Image Enhancement in the Frequency Domain Chapter 4: Image Enhancement in the Frequency Domain.

WAVELET TRANSFORM.

Engineering Geology and Seismology

Invited Workshop on Strong-Motion Record Processing Convened by The Consortium of Organizations for Strong-Motion Observation Systems (COSMOS) Pacific.

The kinematic representation of seismic source. The double-couple solution double-couple solution in an infinite, homogeneous isotropic medium. Radiation.

Introduction of Surface Scattering Modeling

Napa Earthquake - Results Strong shaking in epicentral area, low-level shaking throughout Bay area Recorded strong motion: 340 ground response stations.

ANALYSIS ON SLIDING MECHANISM OF TSAOLING ROCKSLIDE IN CHI-CHI EARTHQUAKE EVENT Tien Chien Chen National Pingtung University of Science & Technology Meei.

Prof.L.Anand Babu Dept. of Mathematics Osmania University Hyderabad

Lg Q Across the Continental US Dan McNamara and Rob Wesson with Dirk Erickson, Arthur Frankel and Harley Benz.

CHEE825 Fall 2005J. McLellan1 Spectral Analysis and Input Signal Design.

Fourier Analysis of Signals and Systems

Wavelet Spectral Analysis Ken Nowak 7 December 2010.

Lecture 2: Measurement and Instrumentation. Time vs. Frequency Domain Different ways of looking at a problem –Interchangeable: no information is lost.

Engineering Perspective on Application of Simulated Ground Motions Jonathan P. Stewart & Emel Seyhan University of California, Los Angeles Robert W. Graves.

Ground motion simulations in the Pollino region (Southern Italy) for Mw 6.4 scenario events.

Department of Civil Engineering National Taiwan University National Taiwan University Generation of Uniform Hazard Accelerogram Representing from “Dominant.

INCORPORATION OF EARTHQUAKE SOURCE, PROPAGATION PATH AND SITE UNCERTAINTIES INTO ASSESSMENT OF LIQUEFACTION POTENTIAL Bob Darragh Nick Gregor Walt Silva.

Site Specific Response Analyses and Design Spectra for Soft Soil Sites Steven F. Bartlett, Ph.D., P.E. I-15 NATIONAL TEST BED TECHNOLOGY TRANSFER SYMPOSIUM.

HIGH FREQUENCY GROUND MOTION SCALING IN THE YUNNAN REGION W. Winston Chan, Multimax, Inc., Largo, MD W. Winston Chan, Multimax, Inc., Largo, MD Robert.

M 7.0, M L M 6.9, M L 6.99.

Unified Structural Representation (USR) The primary mission of the USR Focus Area has been the development of a unified, object-oriented 3-D representation.

Tri-State Seismic Hazard Mapping -Kentucky Plan

Ground Motions and Liquefaction – The Loading Part of the Equation

Continuous wavelet transform of function f(t) at time relative to wavelet kernel at frequency scale f: "Multiscale reconstruction of shallow marine sediments.

Tom Wilson, Department of Geology and Geography Environmental and Exploration Geophysics II tom.h.wilson Department of Geology.

Mapping of lateral spread Displacement hazard, Weber County, Utah

k is the frequency index

QuakeCoRE Flagship 2 The National Liquefaction Database

Date of download: 11/2/2017 Copyright © ASME. All rights reserved.

The Hungtsaiping landslides- from a rock slide to a colluvial slide

Spectral resolution of the retarded potentials

Time domain & frequency domain

Multi-resolution analysis

Measures of Complexity

Douglas Dreger, Gabriel Hurtado, and Anil Chopra

THE FAILURE OF SHIH-KANG DAM

WAVES AND WAVELETS Shamelessly stolen from R. Greenhalgh, Electrical

k is the frequency index

Leakage Error in Fourier Transforms

Exploratory Data Analysis

Continuous-Time Fourier Transform

Chapter 15: Wavelets (i) Fourier spectrum provides all the frequencies

Presentation transcript:

A Wavelet Analysis of Ground Motion Characteristics R. Z. Sarica M. S. Rahman

Outline Introduction Wavelet transform (WT) vs. Fourier transform (FT) Wavelet analysis of ground motion characteristics (Chi-Chi earthquake motions) Example analysis Effect of distance Effect of ‘softening’ Closure

Introduction Ground Motion Time History Fourier Transform, Response Spectrum Wavelet Transform Applications to Geotechnical Earthquake Engineering Study of Ground Motions Simulation of Ground Motion Wavelet domain analysis of site response (Including liquefaction)

Fourier Transform a 1, w 1 a 3, w 2 a 3, w 3

Fourier Transform

Wavelet Transform

Wavelet Analysis: Evaluation of Coefficients

Discrete Wavelet Representation a function a j (t) is resolved to several level(j) functions a 0 (t) can be expressed in the following series of detail functions d j (t)  Thus, ao a1d1 a2d2 a3d3 ao = a1 + d1 a1 = a2 + d2 a2 = a3 + d3 ao = a3 + d3 + d2 + d1 where, with,

Energy Calculation Total energy : Energy density : Cumulative energy : Total energy in terms of level cumulative energies : Frequency range :with

Frequency and period ranges

Wavelet Analysis of Chi-Chi motion TCU129-N

Wavelet Coefficients

Approximations (a j ) and Detatils (d j )

Fourier Spectra of a 0 and d j

Energy density dEj,k Change this figure Wavelet Analysis : Energy contents Cumulative energy profile normalized wrt the total energy Total energy profile

Effect of Site Distance MotionLocation Site Classification Site Condition Closest distance to fault rupture (km) Distance to epicentre (km) TCU078 Nantou Geomatrix or CWB (1) USGS (C) TCU031 Nantou Geomatrix or CWB (1) USGS (C) Alluvial deposit composed of cemented or poorly cemented clay, silty sand and gravel distributed on valleys and alluvial plateau Selected Motions

Effect of Site Distance

Selected Motions Wavelet Analysis : Effect of softening

Liquefiable layer Base motion (TCU120) Recorded surface motion (TCU110) Computed surface motion with reduced G,(TCU120-Gf) Computed surface motion (TCU120-Go) Wavelet Analysis : Effect of softening

Recorded Computed

Wavelet Analysis : Effect of softening RecordedComputed

Closure Wavelet analysis has been used to study the characteristics of several ground motions recorded during Chi-chi earthquake. Effect of site distance and site softening has been investigated. Reduction in energy and redistribution of energy contents observed. Wavelet analysis has potential of providing more insight into ground motion characteristics including the energy content in both frequency and time domain simultaneously.