Time domain Gauss-Newton seismic waveform inversion in elastic media

Download

index.pdf

Date

2006-12-01

Author

Sheen, Dong-Hoon
Tuncay, Kağan
Baag, Chang-Eob
Ortoleva, Peter J.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

152
views

64
downloads

We present a seismic waveform inversion methodology based on the Gauss-Newton method from pre-stack seismic data. The inversion employs a staggered-grid finite difference solution of the 2-D elastic wave equation in the time domain, allowing accurate simulation of all possible waves in elastic media. The partial derivatives for the Gauss-Newton method are obtained from the differential equation of the wave equation in terms of model parameters. The resulting wave equation and virtual sources from the reciprocity principle allow us to apply the Gauss-Newton method to seismic waveform inversion. The partial derivative wavefields are explicitly computed by convolution of forward wavefields propagated from each source with reciprocal wavefields from each receiver. The Gauss-Newton method for seismic waveform inversion was proposed in the 1980s but has rarely been studied. Extensive computational and memory requirements have been principal difficulties which are addressed in this work. We used different sizes of grids for the inversion, temporal windowing, approximation of virtual sources, and parallelizing computations. With numerical experiments, we show that the Gauss-Newton method has significantly higher resolving power and convergence rate over the gradient method, and demonstrate potential applications to real seismic data.

Subject Keywords

Geochemistry and Petrology, Geophysics

URI

https://hdl.handle.net/11511/38892

Journal

GEOPHYSICAL JOURNAL INTERNATIONAL

DOI

https://doi.org/10.1111/j.1365-246x.2006.03162.x

Collections

Department of Civil Engineering, Article

Suggestions

OpenMETU
Core

Ground Motion Characterization for Vertical Ground Motions in Turkey—Part 1: V/H Ratio Ground Motion Models Alipour, N.A.; SANDIKKAYA, MUSTAFA ABDULLAH; Gülerce, Zeynep (Springer Science and Business Media LLC, 2020-05-01) Two approaches are used to develop the vertical design spectra in probabilistic seismic hazard assessment (PSHA): (i) performing PSHA for the vertical component using vertical ground motion models (GMMs), and (ii) utilizing the V/H ratio GMMs to scale the horizontal spectrum during or after the hazard calculations for the horizontal component. This study intends to develop a new framework for building a vertical ground motion logic tree that combines both vertical and V/H ratio GMMs in the PSHA analysis. Fo...
Full waveform inversion for seismic velocity and anelastic losses in heterogeneous structures Askan Gündoğan, Ayşegül; Bielak, Jacobo; Ghattas, Omar (Seismological Society of America (SSA), 2007-12-01) We present a least-squares optimization method for solving the nonlinear full waveform inverse problem of determining the crustal velocity and intrinsic attenuation properties of sedimentary valleys in earthquake-prone regions. Given a known earthquake source and a set of seismograms generated by the source, the inverse problem is to reconstruct the anelastic properties of a heterogeneous medium with possibly discontinuous wave velocities. The inverse problem is formulated as a constrained optimization prob...
Assessment of Point-Source Stochastic Simulations Using Recently Derived Ground-Motion Prediction Equations Akkar, Dede Sinan; Yenier, Emrah (Seismological Society of America (SSA), 2009-12-01) The simplicity of the point-source stochastic simulation method makes it one of the most appealing tools for the quantification of ground motions for seismic hazard related studies. In this article, we scrutinize the limitations of this technique in terms of fundamental geophysical model parameters. To achieve this objective, we use the estimations of recent Next Generation Attenuation (NGA) and European empirical ground-motion models that are based on global strong-motion databases. The generated synthetic...
Broadband Ground Motion Simulation Within the City of Düzce (Turkey) and Building Response Simulation Ozmen, Ekin; Karim Zadeh Naghshineh, Shaghayegh; Askan, Aysegul (Springer Science and Business Media LLC, 2020-05-01) In areas with significant seismic activity and insufficient seismic networks, simulated ground motions are required for both seismic hazard and engineering analyses. One important task is evaluating the efficiency of the simulated records in building response estimation. In this study, a hybrid ground motion simulation framework is presented to obtain broadband ground motion time histories of a past major earthquake in Düzce (Turkey). The hybrid ground motion simulation framework presented herein is a combi...
Sensitivity Study of Hydrodynamic Parameters During Numerical Simulations of Tsunami Inundation Ozer, Ceren; Yalçıner, Ahmet Cevdet (Springer Science and Business Media LLC, 2011-11-01) This paper describes the analysis of a parameter, "hydrodynamic demand,'' which can be used to represent the potential for tsunami drag force related damage to structures along coastlines. It is derived from the ratio of drag force to hydrostatic force caused by a tsunami on the structure. It varies according to the instantaneous values of the current velocities and flow depths during a tsunami inundation. To examine the effects of a tsunami in the present study, the analyses were performed using the tsunam...

Citation Formats

D.-H. Sheen, K. Tuncay, C.-E. Baag, and P. J. Ortoleva, “Time domain Gauss-Newton seismic waveform inversion in elastic media,” GEOPHYSICAL JOURNAL INTERNATIONAL, pp. 1373–1384, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38892.