Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- Part I Building the Seismic Wavefield
- Part II Correlation Wavefields
- Part III Interaction of Seismic Waves with Heterogeneity
- 10 Deterministic and Stochastic Heterogeneity
- 11 The Effects of Heterogeneity
- 12 Scattering and StochasticWaveguides
- 13 Multi-Scale Heterogeneity
- Part IV Inversion for Earth Structure
- Appendix Table of Notation
- Bibliography
- Index
11 - The Effects of Heterogeneity
from Part III - Interaction of Seismic Waves with Heterogeneity
Published online by Cambridge University Press: 16 November 2020
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- Part I Building the Seismic Wavefield
- Part II Correlation Wavefields
- Part III Interaction of Seismic Waves with Heterogeneity
- 10 Deterministic and Stochastic Heterogeneity
- 11 The Effects of Heterogeneity
- 12 Scattering and StochasticWaveguides
- 13 Multi-Scale Heterogeneity
- Part IV Inversion for Earth Structure
- Appendix Table of Notation
- Bibliography
- Index
Summary
The theoretical foundations of the description of heterogeneity are established for both body waves and modal fields. We first consider perturbations of the wavefield using Born series and show how such concepts can be combined with the use of reflection and transmission operators to provide a flexible treatment of structures with varying heterogeneity in different zones of the model. Although the various modes of surface waves propagate independently in simple structure, the presence of heterogeneity induces cross-coupling that modifies the wavefield. Because the nature of heterogeneity differs in the various parts of the Earth, the interaction of different classes of heterogeneity has an important role in shaping the nature of the full seismic wavefield.
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- Exploiting Seismic WaveformsCorrelation, Heterogeneity and Inversion, pp. 255 - 276Publisher: Cambridge University PressPrint publication year: 2020