Seismic Wave Propagation in Stratified Media

Kennett, Brian

doi:10.26530/oapen_459524

Cited by 187 publications

(232 citation statements)

References 117 publications

(205 reference statements)

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“…The reflection coefficients of the four interfaces are r 1 ¼ 0.6, r 2 ¼ −0.6, r 3 ¼ 0.6, and r 4 ¼ −0.6. The reflection response Rðz 0 ; tÞ is numerically modeled using the reflectivity method (Kennett, 1983).…”

Section: Green's Function Retrieval With the Marchenko Methodsmentioning

confidence: 99%

On the role of multiples in Marchenko imaging

2017

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Marchenko imaging can produce seismic reflection images in which artifacts related to multiples are suppressed. However, in state-of-the-art implementations, multiples do not contribute to the imaged reflectors. With an “event-by-event” deconvolution imaging approach, it is possible to use multiples in Marchenko imaging. We illustrate this for a 1D reflection response in which the primary reflection of a specific interface is missing.

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Section: Green's Function Retrieval With the Marchenko Methodsmentioning

confidence: 99%

On the role of multiples in Marchenko imaging

2017

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“…Note that if c is measured in m/s, D is measured in s −1 and P in s −2 . Equation (1) appears in different contexts, from electric transmission to sound propagation, from primary or secondary seismic wave propagation in presence of intrinsic attenuation to quantum field theory [31][32][33][34].…”

Section: Model Problem and Its Weak Boundary Integral Formulationmentioning

confidence: 99%

Energetic BEM for the numerical analysis of 2D Dirichlet damped wave propagation exterior problems

Aimi

Diligenti

Guardasoni

2017

Communications in Applied and Industrial Mathematics

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Time-dependent problems modeled by hyperbolic partial differential equations can be reformulated in terms of boundary integral equations and solved via the boundary element method. In this context, the analysis of damping phenomena that occur in many physics and engineering problems is a novelty. Starting from a recently developed energetic space-time weak formulation for 1D damped wave propagation problems rewritten in terms of boundary integral equations, we develop here an extension of the so-called energetic boundary element method for the 2D case. Several numerical benchmarks, whose numerical results confirm accuracy and stability of the proposed technique, already proved for the numerical treatment of undamped wave propagation problems in several dimensions and for the 1D damped case, are illustrated and discussed.

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“…The computation of the building response is performed as follows: The linear site response is first computed for the 887 profiles and the 60 rock reference time series a R,i (t), with the reflectivity approach developed by Kennett (1983 where m, c and k are the mass, viscous damping and stiffness of the SDOF oscillator.…”

Section: Numerical Simulation and Damage Estimatesmentioning

confidence: 99%

Using ambient vibration measurements for risk assessment at an urban scale: from numerical proof of concept to Beirut case study (Lebanon)

Salameh

Bard

Guillier

et al. 2017

Earth Planets Space

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Post-seismic investigations repeatedly indicate that structures having frequencies close to foundation soil frequencies exhibit significantly heavier damages (Caracas 1967; Mexico 1985; Pujili, Ecuador 1996; L' Aquila 2009). However, observations of modal frequencies of soils and buildings in a region or within a current seismic risk analysis are not fully considered together, even when past earthquakes have demonstrated that coinciding soil and building frequencies leads to greater damage. The present paper thus focuses on a comprehensive numerical analysis to investigate the effect of coincidence between site and building frequencies. A total of 887 realistic soil profiles are coupled with a set of 141 single-degree-of-freedom elastoplastic oscillators, and their combined (nonlinear) response is computed for both linear and nonlinear soil behaviors, for a large number (60) of synthetic input signals with various PGA levels and frequency contents. The associated damage is quantified on the basis of the maximum displacement as compared to both yield and ultimate post-elastic displacements, according to the RISK-UE project recommendations (Lagomarsino and Giovinazzi in Bull Earthq Eng 4(4): 2006), and compared with the damage obtained in the case of a similar building located on rock. The correlation between this soil/rock damage increment and a number of simplified mechanical and loading parameters is then analyzed using a neural network approach. The results emphasize the key role played by the building/soil frequency ratio even when both soil and building behave nonlinearly; other important parameters are the PGA level, the soil/rock velocity contrast and the building ductility. A numerical investigation based on simulation of ambient noise for the whole set of 887 profiles also indicates that the amplitude of H/V ratio may be considered as a satisfactory proxy for site amplification when applied to measurements at urban scale. A very easy implementation of this method, using ambient vibration measurements both at ground level and within buildings, is illustrated with an example application for the city of Beirut (Lebanon).

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Seismic Wave Propagation in Stratified Media

Cited by 187 publications

References 117 publications

On the role of multiples in Marchenko imaging

On the role of multiples in Marchenko imaging

Energetic BEM for the numerical analysis of 2D Dirichlet damped wave propagation exterior problems

Using ambient vibration measurements for risk assessment at an urban scale: from numerical proof of concept to Beirut case study (Lebanon)

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