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Elsevier

Geophysical Data Analysis and Inverse Theory with MATLAB® and Python

  • 5th Edition - February 22, 2024
  • Latest edition
  • Author: William Menke
  • Language: English

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… Read more

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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.

Key features

  • 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

Readership

Seismologists, geophysicists, volcanologists, geodesists, geodynamicists, tectonophysicists, rock physicists, and geochemists .Environmental scientists and engineers, reservoir engineers, acousticians, hydrologists, oceanographers, atmospheric scientists, and remote sensing experts

Table of contents

1. Getting started with Matlab® or python

2. Describing inverse problems

3. Using probabilty to describe random variation

4. Solution of the linear, normal inverse problem, viewpoint 1: the length method

5. Solution of the linear, normal inverse problem, viewpoint 2: generalized inverses

6. Solution of the linear, normal inverse problem, viewpoint 3: maximum likelihood methods

7. Data assimilation methods including gaussian process regression and kalman filtering

8. Nonuniqueness and localized averages

9. Applications of vector spaces

10. Linear inverse problems with non-normal statistics

11. Nonlinear inverse problems

12. Monte carlo methods

13. Factor analysis

14. Continuous inverse theory and tomography

15. Sample inverse problems

16. Applications of inverse theory to solid earth geophysics

17. Important algorithms and method summaries

Product details

  • Edition: 5
  • Latest edition
  • Published: February 22, 2024
  • Language: English

About the author

WM

William Menke

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.
Affiliations and expertise
Professor of Earth and Environmental Sciences ,Columbia University

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