Structural Geology Algorithms

ISBN-13: 9781107012004 / Angielski / Twarda / 2011 / 304 str.

Richard W. Allmendinger;Nestor Cardozo;Donald M. Fisher

Opis

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.

Recenzje

'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

Spis treści

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.