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The Finite Difference Modelling of Earthquake Motions Waves and Ruptures 1st Edition by Peter Moczo, Jozef Kristek, Martin Gális 1107028817 9781107028814

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The Finite Difference Modelling of Earthquake Motions Waves and Ruptures Moczo P. Digital Instant Download

Author(s): Moczo P., Kristek J., Galis M.
ISBN(s): 9781107028814, 1107028817
Edition: draft
File Details: PDF, 7.32 MB
Year: 2014
Language: english
SKU: EB-4677954 Category: Tags: , ,

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Product details:

ISBN 10: 1107028817 

ISBN 13: 9781107028814

Author: Peter Moczo, Jozef Kristek, Martin Gális

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.

Table of contents:

Part I – Mathematical-physical model
Chapter 1 – Introduction
Chapter 2 – Basic mathematical-physical model
Chapter 3 – Rheological models of a continuum
Chapter 4 – Earthquake source

Part II – The finite-difference method
Chapter 5 – Time-domain numerical methods
Chapter 6 – Brief introduction to the finite-difference method
Chapter 7 – 1D problem
Chapter 8 – 3D finite-difference schemes
Chapter 9 – Velocity–stress staggered-grid scheme for an unbounded heterogeneous viscoelastic medium
Chapter 10 – Schemes for a free surface
Chapter 11 – Discontinuous spatial grid
Chapter 12 – Perfectly matched layer
Chapter 13 – Simulation of the kinematic sources
Chapter 14 – Simulation of dynamic rupture propagation
Chapter 15 – Preparation of computations and a computational algorithm

Part III – Finite-element method and hybrid finite-difference–finite-element method
Chapter 16 – Finite-element method
Chapter 17 – Traction-at-split-node modelling of dynamic rupture propagation
Chapter 18 – Hybrid finite-difference–finite-element method

Part IV – Finite-difference modelling of seismic motion at real sites
Chapter 19 – Modelling of earthquake motion: Mygdonian basin

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Tags: Peter Moczo, Jozef Kristek, Martin Gális, Modelling