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
- Part IV Inversion for Earth Structure
- 14 Inference for Structure
- 15 Gradient Methods for Nonlinear Inversion
- 16 Adjoint Methods and Sensitivity Analysis
- 17 Waveform Inversion of Event Data
- 18 Waveform Inversion of Correlation Data
- 19 New Directions
- Appendix Table of Notation
- Bibliography
- Index
15 - Gradient Methods for Nonlinear Inversion
from Part IV - Inversion for Earth Structure
Published online by Cambridge University Press: 16 November 2020
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
- Part IV Inversion for Earth Structure
- 14 Inference for Structure
- 15 Gradient Methods for Nonlinear Inversion
- 16 Adjoint Methods and Sensitivity Analysis
- 17 Waveform Inversion of Event Data
- 18 Waveform Inversion of Correlation Data
- 19 New Directions
- Appendix Table of Notation
- Bibliography
- Index
Summary
We provide a broad survey of methods for inversion relevant to waveforms, showing how inversions can be performed for models described by very large numbers of parameters. As are needed for seismic tomography We concentrate on numerical optimisation of a composite misfit function using descent methods . We discuss steepest descent, conjugate gradient, quasi-Newton and subspace methods providing specific algorithms and illustrations.
- Type
- Chapter
- Information
- Exploiting Seismic WaveformsCorrelation, Heterogeneity and Inversion, pp. 355 - 377Publisher: Cambridge University PressPrint publication year: 2020