Structural Geology Algorithms
Structural Geology Algorithms
Nestor Cardozo, Universitet i Stavanger, Norway
Donald M. Fisher, Pennsylvania State University
State-of-the-art analysis of geological structures has become increasingly quantitative but traditionally, graphical methods are used in teaching. This innovative lab book provides a unified methodology for problem-solving in structural geology using linear algebra and computation. Assuming only limited mathematical training, the book begins with classic orientation problems and progresses to more fundamental topics of stress, strain and error propagation. It introduces linear algebra methods as the foundation for understanding vectors and tensors, and demonstrates the application of geometry and kinematics in geoscience without requiring students to take a supplementary mathematics course. All algorithms are illustrated with a suite of online MATLAB functions, allowing users to modify the code to solve their own structural problems. Containing 20 worked examples and over 60 exercises, this is the ideal lab book for advanced undergraduates or beginning graduate students. It will also provide professional structural geologists with a valuable reference and refresher for calculations.
- Relates basic topics such as fold geometry to more complicated concepts such as tensors, allowing students to develop an intuitive feel for vectors and tensors before applying them in the context of stress and strain
- Provides a concise review of error analysis, which is an increasingly important topic for structural analysis
- Supported by a full suite of MATLAB codes available online, which can be modified and developed for solving other structural problems
Reviews & endorsements
'I like this book. The material covered, the level of detail and the inclusion of MATLAB scripts make this a timely, relevant and very useful textbook … [it] will help structural geologists - of all levels - make that critical leap from purely geometrical analyses, through kinematics and into the underlying continuum mechanics of rock deformation. A worthy addition to your bookshelf.' Geological Magazine
'I highly recommend this book to all structural geology students and practitioners, as well as to earth scientists from a wide range of fields, who will benefit from this clear introduction of the principles and application of linear algebra in the analysis of commonly encountered vector and tensor quantities.' Roland Bürgmann, University of California, Berkeley
'The book is suitable for numerate researchers and advanced undergraduates who are reasonably comfortable with mathematics … it is essential in the twenty-first century that we have numerate geoscientists trained in quantitative techniques of structural geology … The authors take care to describe the basics of tensor algebra as well as its application; this book is a solid foundation for understanding the mathematical analysis of how the Earth deforms.' John Wheeler, American Mineralogist
Product details
December 2011Paperback
9781107401389
302 pages
247 × 190 × 15 mm
0.64kg
131 b/w illus. 15 tables 67 exercises
Available
Table of Contents
- Preface
- 1. Problem solving in structural geology
- 2. Coordinate systems, scalars and vectors
- 3. Transformations of coordinate axes and vectors
- 4. Matrix operations and indicial notation
- 5. Tensors
- 6. Stress
- 7. Introduction to deformation
- 8. Infinitesimal strain
- 9. Finite strain
- 10. Progressive strain histories and kinematics
- 11. Velocity description of deformation
- 12. Error analysis
- References
- Index.
