Geophysical Data Analysis and Inverse Theory with MATLAB® and Python
5th Edition
Published on 22. February 2024
400 pages
978-0-443-13795-2 (ISBN)
Description
Geophysical Data Analysis and Inverse Theory with MATLAB or Python, Fifth Edition is a revised and expanded introduction to inverse theory and tomography as it is practiced by geophysicists. The book demonstrates the methods needed to analyze a broad spectrum of geophysical datasets, with special attention given 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. A series of "crib sheets" offer step-by-step summaries of methods presented.Utilizing problems and case studies, along with MATLAB and Python computer code and summaries of methods, the book provides professional geophysicists, students, 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 discussions of the application of inverse theory to seismological, gravitational, and tectonic studies
- Provides numerous examples, color figures, and end-of-chapter problems to help readers explore and further understand the presented ideas
- Includes both MATLAB and Python examples and problem sets
More details
Other editions
Additional editions
Book
02/2024
5th Edition
Academic Press
€128.50
Shipment within 15-20 days
Person
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.
Content
1. Getting started with Matlab® or python2. Describing inverse problems3. Using probabilty to describe random variation4. Solution of the linear, normal inverse problem, viewpoint 1: the length method5. Solution of the linear, normal inverse problem, viewpoint 2: generalized inverses6. Solution of the linear, normal inverse problem, viewpoint 3: maximum likelihood methods7. Data assimilation methods including gaussian process regression and kalman filtering8. Nonuniqueness and localized averages9. Applications of vector spaces10. Linear inverse problems with non-normal statistics11. Nonlinear inverse problems12. Monte carlo methods13. Factor analysis14. Continuous inverse theory and tomography15. Sample inverse problems16. Applications of inverse theory to solid earth geophysics17. Important algorithms and method summaries
