Finite-Difference Modelling of Earthquake Motions

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 Galis; References; Index.

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• Geofísica
• Vulcanologia e Sismologia