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The Finite-Difference Modelling of Earthquake Motions
Waves and Ruptures

$160.00 (C)

  • Authors:
  • Peter Moczo, Univerzita Komenského v Bratislave, Slovakia
  • Jozef Kristek, Univerzita Komenského v Bratislave, Slovakia
  • Martin Gális, King Abdullah University of Science and Technology, Saudi Arabia
  • Date Published: June 2014
  • availability: In stock
  • format: Hardback
  • isbn: 9781107028814

$ 160.00 (C)
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About the Authors
  • Among all the numerical methods in seismology, the finite-difference (FD) technique provides the best balance of accuracy and computational efficiency. This book offers a comprehensive introduction to FD and its applications to earthquake motion. Using a systematic tutorial approach, the book requires only undergraduate degree-level mathematics and provides a user-friendly explanation of the relevant theory. It explains FD schemes for solving wave equations and elastodynamic equations of motion in heterogeneous media, and provides an introduction to the rheology of viscoelastic and elastoplastic media. It also presents an advanced FD time-domain method for efficient numerical simulations of earthquake ground motion in realistic complex models of local surface sedimentary structures. Accompanied by a suite of online resources to help put the theory into practice, this is a vital resource for professionals and academic researchers using numerical seismological techniques, and graduate students in earthquake seismology, computational and numerical modelling, and applied mathematics.

    • Based on graduate-level mathematics, provides a systematic tutorial and explains relevant background theory
    • Includes an appendix on time-frequency misfit and goodness-of-fit criteria for quantitative comparison of time signals
    • Supported by online resources enabling application of the theory, including problem configurations along with their numerical solutions and computer codes - for further information and for access to the codes, please go to www.cambridge.org/computercodes
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    Product details

    • Date Published: June 2014
    • format: Hardback
    • isbn: 9781107028814
    • length: 383 pages
    • dimensions: 252 x 178 x 21 mm
    • weight: 0.92kg
    • contains: 71 b/w illus. 26 tables
    • availability: In stock
  • Table of Contents

    Preface
    Acknowledgements
    List of symbols
    1. Introduction
    Part I. Mathematical-Physical Model:
    2. Basic mathematical-physical model
    3. Rheological models of continuum
    4. Earthquake source
    Part II. Time-Domain Numerical Modelling and the Finite-Difference Method:
    5. Time-domain numerical methods
    6. Introduction to the finite-difference (FD) method
    7. 1D problems
    8. Basic comparison of the 1D and 3D FD schemes
    9. The FD method applied to seismic-wave propagation – a brief historical summary
    10. Overview of the FD schemes for 3D problems
    11. Velocity-stress staggered-grid scheme for an unbounded heterogeneous viscoelastic medium
    12. Velocity-stress staggered-grid schemes for a free surface
    13. Discontinuous spatial grid
    14. Perfectly matched layer
    15. Simulation of the kinematic sources
    16. Simulation of the dynamic rupture propagation
    17. Other wavefield excitations
    18. Memory optimization
    19. Complete FD algorithm for a 3D problem based on the 4th-order velocity-stress staggered-grid scheme
    20. Finite-element (FE) method
    21. TSN modelling of rupture propagation with the adaptive smoothing algorithm
    22. Hybrid FD-FE method
    Part III. Numerical Modelling of Seismic Motion at Real Sites:
    23. Mygdonian Basin, Greece
    24. Grenoble Valley, France
    Part IV. Concluding Remarks: Appendix. Time-frequency (TF) misfit and goodness-of-fit criteria for quantitative comparison of time signals Miriam Kristekova, Peter Moczo, Josef Kristek and Martin Gális
    References
    Index.

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    The Finite-Difference Modelling of Earthquake Motions

    Peter Moczo, Jozef Kristek, Martin Gális

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  • Authors

    Peter Moczo, Univerzita Komenského v Bratislave, Slovakia
    Peter Moczo is a professor of physics and Chair of the Department of Astronomy, Physics of the Earth, and Meteorology at Comenius University, Bratislava. He is the main author of several monographs and extended articles on the finite-difference method (including the highly-respected Acta Physica Slovaca article which partly forms the basis of this book). Professor Moczo is a member of the Learned Society of the Slovak Academy of Sciences, and his awards include the Prize of the Slovak Academy of Sciences for Infrastructure, the Silver Medal of the Faculty of Mathematics, Physics and Informatics of Comenius University, and the Dionyz Stur Medal of the Slovak Academy of Sciences for Achievements in Natural Sciences. Along with his two co-authors, Professor Moczo is a leading member of the (informal) NuQuake research group, studying numerical modelling of seismic wave propagation and earthquake motion, at Comenius University and the Slovak Academy of Science in Bratislava. As part of this group, all three authors were major contributors to the elaboration of the finite-difference method and hybrid finite-difference/finite-element method.

    Jozef Kristek, Univerzita Komenského v Bratislave, Slovakia
    Jozef Kristek is an associate professor of physics at the Department of Astronomy, Physics of the Earth, and Meteorology at Comenius University, Bratislava. His research, as part of the NuQuake group, focuses on the development of numerical-modelling methods for seismic wave propagation and earthquake motion in structurally complex media. Dr Kristek has been awarded the Prize of the Slovak Academy of Sciences for Infrastructure and the Dean's Prize for Science for his work in this area.

    Martin Gális, King Abdullah University of Science and Technology, Saudi Arabia
    Martin Gális is a postdoctoral researcher at the King Abdullah University of Science and Technology (KAUST), Saudi Arabia. Dr Gális' research also focuses on the development of numerical-modelling methods for seismic wave propagation and earthquake motion in structurally complex media. He has also been awarded the Prize of the Slovak Academy of Sciences for Infrastructure.

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