Stable and Efficient Modeling of Anelastic Attenuation in Seismic Wave Propagation

Stable and Efficient Modeling of Anelastic Attenuation in Seismic Wave Propagation

Year:    2012

Communications in Computational Physics, Vol. 12 (2012), Iss. 1 : pp. 193–225

Abstract

We develop a stable finite difference approximation of the three-dimensional viscoelastic wave equation. The material model is a super-imposition of N standard linear solid mechanisms, which commonly is used in seismology to model a material with constant quality factor Q. The proposed scheme discretizes the governing equations in second order displacement formulation using 3N memory variables, making it significantly more memory efficient than the commonly used first order velocity-stress formulation. The new scheme is a generalization of our energy conserving finite difference scheme for the elastic wave equation in second order formulation [SIAM J. Numer. Anal., 45 (2007), pp. 1902–1936]. Our main result is a proof that the proposed discretization is energy stable, even in the case of variable material properties. The proof relies on the summation-by-parts property of the discretization. The new scheme is implemented with grid refinement with hanging nodes on the interface. Numerical experiments verify the accuracy and stability of the new scheme. Semi-analytical solutions for a half-space problem and the LOH.3 layer over half-space problem are used to demonstrate how the number of viscoelastic mechanisms and the grid resolution influence the accuracy. We find that three standard linear solid mechanisms usually are sufficient to make the modeling error smaller than the discretization error.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.201010.090611a

Communications in Computational Physics, Vol. 12 (2012), Iss. 1 : pp. 193–225

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    33

Keywords:   

  1. Effects of three‐dimensional crustal structure and smoothing constraint on earthquake slip inversions: Case study of the Mw6.3 2009 L'Aquila earthquake

    Gallovič, František | Imperatori, Walter | Mai, P. Martin

    Journal of Geophysical Research: Solid Earth, Vol. 120 (2015), Iss. 1 P.428

    https://doi.org/10.1002/2014JB011650 [Citations: 56]
  2. Matrix-free SBP-SAT finite difference methods and the multigrid preconditioner on GPUs

    Chen, Alexandre | Erickson, Brittany A. | Kozdon, Jeremy E. | Choi, Jee

    Proceedings of the 38th ACM International Conference on Supercomputing, (2024), P.400

    https://doi.org/10.1145/3650200.3656614 [Citations: 0]
  3. A New Decade in Seismoacoustics (2010–2022)

    Dannemann Dugick, Fransiska | Koch, Clinton | Berg, Elizabeth | Arrowsmith, Stephen | Albert, Sarah

    Bulletin of the Seismological Society of America, Vol. 113 (2023), Iss. 4 P.1390

    https://doi.org/10.1785/0120220157 [Citations: 6]
  4. Efficient time-domain 3D elastic and viscoelastic full-waveform inversion using a spectral-element method on flexible Cartesian-based mesh

    Trinh, Phuong-Thu | Brossier, Romain | Métivier, Ludovic | Tavard, Laure | Virieux, Jean

    GEOPHYSICS, Vol. 84 (2019), Iss. 1 P.R61

    https://doi.org/10.1190/geo2018-0059.1 [Citations: 57]
  5. The geometry of active shortening in the northwest Himalayas and the implications for seismic hazard

    O’Kane, Aisling | Copley, Alex | Mitra, Supriyo | Wimpenny, Sam

    Geophysical Journal International, Vol. 231 (2022), Iss. 3 P.2009

    https://doi.org/10.1093/gji/ggac303 [Citations: 6]
  6. Modeling Three‐Dimensional Wave Propagation in Anelastic Models With Surface Topography by the Optimal Strong Stability Preserving Runge‐Kutta Method

    Wang, Nian | Li, Jiahang | Borisov, Dmitry | Gharti, Hom Nath | Shen, Yang | Zhang, Wei | Savage, Brian

    Journal of Geophysical Research: Solid Earth, Vol. 124 (2019), Iss. 1 P.890

    https://doi.org/10.1029/2018JB016175 [Citations: 11]
  7. A new implementation of convolutional PML for second-order elastic wave equation

    Fang, Xiuzheng | Wu, Di | Niu, Fenglin | Yao, Gang

    Exploration Geophysics, Vol. 53 (2022), Iss. 5 P.501

    https://doi.org/10.1080/08123985.2021.1993441 [Citations: 3]
  8. Ground-Motion Model for Significant Duration Constrained by Seismological Simulations

    Pinilla-Ramos, Camilo | Abrahamson, Norman | Phung, Van-Bang | Kayen, Robert | Castellanos-Nash, Pablo

    Bulletin of the Seismological Society of America, Vol. 114 (2024), Iss. 2 P.1015

    https://doi.org/10.1785/0120230139 [Citations: 2]
  9. Joint estimation ofS-wave velocity and damping ratio of the near-surface from active Rayleigh wave surveys processed with a wavefield decomposition approach

    Bergamo, Paolo | Maranò, Stefano | Fäh, Donat

    Geophysical Journal International, Vol. 233 (2023), Iss. 3 P.1560

    https://doi.org/10.1093/gji/ggad010 [Citations: 4]
  10. Broadband (0–4 Hz) Ground Motions for a Magnitude 7.0 Hayward Fault Earthquake With Three‐Dimensional Structure and Topography

    Rodgers, Arthur J. | Pitarka, Arben | Petersson, N. Anders | Sjögreen, Björn | McCallen, David B.

    Geophysical Research Letters, Vol. 45 (2018), Iss. 2 P.739

    https://doi.org/10.1002/2017GL076505 [Citations: 50]
  11. Joint Regional Waveform, First-Motion Polarity, and Surface Displacement Moment Tensor Inversion of the 3 September 2017 North Korean Nuclear Test

    Chi-Durán, Rodrigo | Dreger, Douglas S. | Rodgers, Arthur J. | Nayak, Avinash

    The Seismic Record, Vol. 1 (2021), Iss. 2 P.107

    https://doi.org/10.1785/0320210022 [Citations: 2]
  12. Ground Motion Modeling in the Eastern Caucasus

    Pitarka, Arben | Gok, Rengin | Yetirmishli, Gurban | Ismayilova, Saida | Mellors, Robert

    Pure and Applied Geophysics, Vol. 173 (2016), Iss. 8 P.2791

    https://doi.org/10.1007/s00024-016-1311-2 [Citations: 3]
  13. Regional-Scale 3D Ground-Motion Simulations of Mw 7 Earthquakes on the Hayward Fault, Northern California Resolving Frequencies 0–10 Hz and Including Site-Response Corrections

    Rodgers, Arthur J. | Pitarka, Arben | Pankajakshan, Ramesh | Sjögreen, Bjorn | Petersson, N. Anders

    Bulletin of the Seismological Society of America, Vol. 110 (2020), Iss. 6 P.2862

    https://doi.org/10.1785/0120200147 [Citations: 41]
  14. The role of topography and lateral velocity heterogeneities on near-source scattering and ground-motion variability

    Imperatori, W. | Mai, P.M.

    Geophysical Journal International, Vol. 202 (2015), Iss. 3 P.2163

    https://doi.org/10.1093/gji/ggv281 [Citations: 53]
  15. Performance evaluation of the USGS velocity model for the San Francisco Bay Area

    Pinilla-Ramos, Camilo | Pitarka, Arben | McCallen M. EERI, David | Nakata, Rie

    Earthquake Spectra, Vol. (2024), Iss.

    https://doi.org/10.1177/87552930241270575 [Citations: 0]
  16. Wave propagation in anisotropic elastic materials and curvilinear coordinates using a summation-by-parts finite difference method

    Petersson, N. Anders | Sjögreen, Björn

    Journal of Computational Physics, Vol. 299 (2015), Iss. P.820

    https://doi.org/10.1016/j.jcp.2015.07.023 [Citations: 75]
  17. EQSIM—A multidisciplinary framework for fault-to-structure earthquake simulations on exascale computers part I: Computational models and workflow

    McCallen, David | Petersson, Anders | Rodgers, Arthur | Pitarka, Arben | Miah, Mamun | Petrone, Floriana | Sjogreen, Bjorn | Abrahamson, Norman | Tang, Houjun

    Earthquake Spectra, Vol. 37 (2021), Iss. 2 P.707

    https://doi.org/10.1177/8755293020970982 [Citations: 57]
  18. Strain microseismics: Radiation patterns, synthetics, and moment tensor resolvability with distributed acoustic sensing in isotropic media

    Vera Rodriguez, Ismael | Wuestefeld, Andreas

    GEOPHYSICS, Vol. 85 (2020), Iss. 3 P.KS101

    https://doi.org/10.1190/geo2019-0373.1 [Citations: 15]
  19. Regional-scale fault-to-structure earthquake simulations with the EQSIM framework: Workflow maturation and computational performance on GPU-accelerated exascale platforms

    McCallen, David | Pitarka, Arben | Tang, Houjun | Pankajakshan, Ramesh | Petersson, N Anders | Miah, Mamun | Huang, Junfei

    Earthquake Spectra, Vol. 40 (2024), Iss. 3 P.1615

    https://doi.org/10.1177/87552930241246235 [Citations: 1]
  20. Influence of low-velocity superficial layer on long-period basin-induced surface waves in eastern Osaka basin

    Oprsal, Ivo | Sekiguchi, Haruko | Iwata, Tomotaka | Burjanek, Jan

    Earth, Planets and Space, Vol. 75 (2023), Iss. 1

    https://doi.org/10.1186/s40623-023-01804-9 [Citations: 0]
  21. High Order Accurate Finite Difference Modeling of Seismo-Acoustic Wave Propagation in a Moving Atmosphere and a Heterogeneous Earth Model Coupled Across a Realistic Topography

    Petersson, N. Anders | Sjögreen, Björn

    Journal of Scientific Computing, Vol. 74 (2018), Iss. 1 P.290

    https://doi.org/10.1007/s10915-017-0434-7 [Citations: 27]
  22. Seismic detection and characterization of a man-made karst analog — A feasibility study

    Gritto, Roland | Elnaiem, Ali Elobaid | Mohamed, Fateh Alrahman | Sadooni, Fadhil

    GEOPHYSICS, Vol. 86 (2021), Iss. 3 P.WA35

    https://doi.org/10.1190/geo2020-0377.1 [Citations: 1]
  23. Using Dense Array Waveform Correlations to Build a Velocity Model with Stochastic Variability

    Pitarka, Arben | Mellors, Robert

    Bulletin of the Seismological Society of America, Vol. 111 (2021), Iss. 4 P.2021

    https://doi.org/10.1785/0120200206 [Citations: 6]
  24. Toward Exascale Earthquake Ground Motion Simulations for Near-Fault Engineering Analysis

    Johansen, Hans | Rodgers, Arthur | Petersson, N. Anders | McCallen, David | Sjogreen, Bjorn | Miah, Mamun

    Computing in Science & Engineering, Vol. 19 (2017), Iss. 5 P.27

    https://doi.org/10.1109/MCSE.2017.3421558 [Citations: 15]
  25. The controls on earthquake ground motion in foreland-basin settings: the effects of basin and source geometry

    O’Kane, Aisling | Copley, Alex

    Geophysical Journal International, Vol. 225 (2021), Iss. 1 P.512

    https://doi.org/10.1093/gji/ggaa599 [Citations: 5]
  26. The Effect of Fault Geometry and Minimum Shear Wavespeed on 3D Ground-Motion Simulations for an Mw 6.5 Hayward Fault Scenario Earthquake, San Francisco Bay Area, Northern California

    Rodgers, Arthur J. | Pitarka, Arben | McCallen, David B.

    Bulletin of the Seismological Society of America, Vol. 109 (2019), Iss. 4 P.1265

    https://doi.org/10.1785/0120180290 [Citations: 15]
  27. Coupling of regional geophysics and local soil-structure models in the EQSIM fault-to-structure earthquake simulation framework

    McCallen, David | Tang, Houjun | Wu, Suiwen | Eckert, Eric | Huang, Junfei | Petersson, N Anders

    The International Journal of High Performance Computing Applications, Vol. 36 (2022), Iss. 1 P.78

    https://doi.org/10.1177/10943420211019118 [Citations: 6]
  28. EQSIM—A multidisciplinary framework for fault-to-structure earthquake simulations on exascale computers, part II: Regional simulations of building response

    McCallen, David | Petrone, Floriana | Miah, Mamun | Pitarka, Arben | Rodgers, Arthur | Abrahamson, Norman

    Earthquake Spectra, Vol. 37 (2021), Iss. 2 P.736

    https://doi.org/10.1177/8755293020970980 [Citations: 31]
  29. Joint Inversion of Regional Waveform, First-Motion Polarity, and Synthetic Aperture Radar Surface Displacement for the Fourth and Sixth North Korean Declared Nuclear Explosions

    Chi-Durán, Rodrigo | Dreger, Douglas S. | Rodgers, Arthur J.

    Bulletin of the Seismological Society of America, Vol. 114 (2024), Iss. 5 P.2409

    https://doi.org/10.1785/0120230237 [Citations: 0]
  30. Evaluation and Updates for the USGS San Francisco Bay Region 3D Seismic Velocity Model in the East and North Bay Portions

    Hirakawa, Evan | Aagaard, Brad

    Bulletin of the Seismological Society of America, Vol. 112 (2022), Iss. 4 P.2070

    https://doi.org/10.1785/0120210256 [Citations: 5]
  31. A discrete representation of a heterogeneous viscoelastic medium for the finite-difference modelling of seismic wave propagation

    Kristek, Jozef | Moczo, Peter | Chaljub, Emmanuel | Kristekova, Miriam

    Geophysical Journal International, Vol. 217 (2019), Iss. 3 P.2021

    https://doi.org/10.1093/gji/ggz132 [Citations: 14]
  32. Broadband (0–5 Hz) Fully Deterministic 3D Ground‐Motion Simulations of a Magnitude 7.0 Hayward Fault Earthquake: Comparison with Empirical Ground‐Motion Models and 3D Path and Site Effects from Source Normalized Intensities

    Rodgers, Arthur J. | Anders Petersson, N. | Pitarka, Arben | McCallen, David B. | Sjogreen, Bjorn | Abrahamson, Norman

    Seismological Research Letters, Vol. 90 (2019), Iss. 3 P.1268

    https://doi.org/10.1785/0220180261 [Citations: 61]
  33. Modeling the Seismic Response of Unstable Rock Mass With Deep Compliant Fractures

    Burjánek, Jan | Kleinbrod, Ulrike | Fäh, Donat

    Journal of Geophysical Research: Solid Earth, Vol. 124 (2019), Iss. 12 P.13039

    https://doi.org/10.1029/2019JB018607 [Citations: 20]
  34. The Impact of the Three-Dimensional Structure of a Subduction Zone on Time-dependent Crustal Deformation Measured by HR-GNSS

    Fadugba, Oluwaseun | Sahakian, Valerie | Melgar, Diego | Rodgers, Arthur | Shimony, Roey

    Seismica, Vol. 3 (2024), Iss. 1

    https://doi.org/10.26443/seismica.v3i1.887 [Citations: 0]
  35. Exploring Basin Amplification within the Reno Metropolitan Area in Northern Nevada Using a Magnitude 6.3 ShakeOut Scenario

    Eckert, Eric | Scalise, Michelle | Louie, John N. | Smith, Kenneth D.

    Bulletin of the Seismological Society of America, Vol. 112 (2022), Iss. 1 P.457

    https://doi.org/10.1785/0120200309 [Citations: 3]
  36. Highly accurate stability-preserving optimization of the Zener viscoelastic model, with application to wave propagation in the presence of strong attenuation

    Blanc, Émilie | Komatitsch, Dimitri | Chaljub, Emmanuel | Lombard, Bruno | Xie, Zhinan

    Geophysical Journal International, Vol. 205 (2016), Iss. 1 P.414

    https://doi.org/10.1093/gji/ggw024 [Citations: 61]