Geophysical Data Analysis: Discrete Inverse Theory

by William Menke

Overview

Geophysical Data Analysis: Diverse Inverse Theory, Fourth Edition is a revised and expanded introduction to inverse theory and tomography as it is practiced by geophysicists. It demonstrates the methods needed to analyze a broad spectrum of geophysical datasets, with special attention to those methods that generate images of the earth. Data analysis can be a mathematically complex activity, but the treatment in this volume is carefully designed to emphasize those mathematical techniques that readers will find the most familiar and to systematically introduce less-familiar ones.

Using problems and case studies, along with MATLAB computer code and summaries of methods, the book provides data scientists and engineers in geophysics with the tools necessary to understand and apply mathematical techniques and inverse theory.

• Includes material on probability, including Bayesian influence, probability density function and metropolis algorithm
• Offers detailed discussion of the application of inverse theory to tectonic, gravitational and geomagnetic studies
• Contains numerous examples, color figures and end-of-chapter homework problems to help readers explore and further understand presented ideas
• Includes MATLAB examples and problem sets
• Updated and refined throughout to bring the text in line with current understanding and improved examples and case studies
• Expanded sections to cover material, such as second-derivation smoothing and chi-squared tests not covered in the previous edition

Product Details

ISBN-13:	9780128135563
Publisher:	Elsevier Science
Publication date:	04/10/2018
Sold by:	Barnes & Noble
Format:	eBook
Pages:	352
File size:	31 MB
Note:	This product may take a few minutes to download.

About the Author

William Menke is a Professor of Earth and Environmental Sciences at Columbia University. His research focuses on the development of data analysis algorithms for time series analysis and imaging in the earth and environmental sciences and the application of these methods to volcanoes, earthquakes, and other natural hazards. He has thirty years of experience teaching data analysis methods to both undergraduates and graduate students. Relevant courses that he has taught include, at the undergraduate level, Environmental Data Analysis and The Earth System, and at the graduate level, Geophysical Inverse Theory, Quantitative Methods of Data Analysis, Geophysical Theory and Practical Seismology.

Table of Contents

1. Describing Inverse Problems2. Some Comments on Probability Theory3. Solution of the Linear, Gaussian Inverse Problem, Viewpoint 1: The Length Method4. Solution of the Linear, Gaussian Inverse Problem, Viewpoint 2: Generalized Inverses5. Solution of the Linear, Gaussian Inverse Problem, Viewpoint 3: Maximum Likelihood Methods6. Nonuniqueness and Localized Averages7. Applications of Vector Spaces8. Linear Inverse Problems and Non-Gaussian Statistics9. Nonlinear Inverse Problems10. Factor Analysis11. Continuous Inverse Theory and Tomography12. Sample Inverse Problems13. Applications of Inverse Theory to Solid Earth Geophysics

What People are Saying About This

From the Publisher

Provides readers with the tools to make useful inferences from complicated data using inverse theory

Editorial Reviews

"The author has produced a meaningful guide to the subject; one which a student (or professional unfamiliar with the field) can follow without great difficulty and one in which many motivational guideposts are provided....I think that the value of the book is outstanding....It deserves a prominent place on the shelf of every scientist or engineer who has data to interpret." —GEOPHYSICS

"As a meteorologist, I have used least squares, maximum likelihood, maximum entropy, and empirical orthogonal functions during the course of my work, but this book brought together these somewhat disparate techniques into a coherent, unified package....I recommend it to meteorologists involved with data analysis and parameterization." —Roland B. Stull, THE BULLETIN OF THE AMERICAN METEOROLOGICAL SOCIETY

"This book provides an excellent introductory account of inverse theory with geophysical applications....My experience in using this book, along with supplementary material in a course for the first year graduate students, has been very positive. I unhesitatingly recommend it to any student or researcher in the geophysical sciences." —PACEOPH

From the Publisher