The Finite-Difference Modelling of Earthquake Motions
Waves and Ruptures

A systematic tutorial introduction to the finite-difference (FD) numerical modelling technique for professionals, academic researchers, and graduate students in seismology.

Peter Moczo (Author), Jozef Kristek (Author), Martin Gális (Author)

9781107028814, Cambridge University Press

Hardback, published 24 April 2014

383 pages, 71 b/w illus. 26 tables
25.2 x 17.8 x 2.1 cm, 0.92 kg

'This is an excellent book for those who wish to learn about the current state of the art of FD modeling of earthquake ground motion, bring themselves 'up to speed' in it, and apply it to their own research problems. Aside from the introductory chapters containing preliminary material, all chapters include detailed and comprehensive discussions of the various topics … Given that this book covers both past work and recent advances in the subject of the FD modeling of earthquake ground motion, it should make a significant contribution to the discipline.' Edward S. Krebes, The Leading Edge

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.

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.

Subject Areas: Geology & the lithosphere [RBG], Earth sciences [RB], Earth sciences, geography, environment, planning [R]