Seismic Wave Theory

Perfect for senior undergraduates and first-year graduate students in geophysics, physics, mathematics, geology and engineering, this book is devoted exclusively to seismic wave theory. The result is an invaluable teaching tool, with its detailed derivations of formulas, clear explanations of topics, exercises along with selected answers, and an additional set of exercises with derived answers on the book's website. Some highlights of the text include: a review of vector calculus and Fourier transforms and an introduction to tensors, which prepare readers for the chapters to come; and a detailed discussion on computing reflection and transmission coefficients, a topic of wide interest in the field; a discussion in later chapters of plane waves in anisotropic and anelastic media, which serves as a useful introduction to these two areas of current research in geophysics. Students will learn to understand seismic wave theory through the book's clear and concise pedagogy.

1. Vectors, tensors, and Fourier transforms; 2. Stress, strain, and seismic waves; 3. Reflection and transmission of plane waves; 4. Surface waves, head waves, and normal modes; 5. Waves in heterogeneous media; 6. Data transformations; 7. Synthetic seismograms; 8. Seismic migration; 9. Plane waves in anisotropic media; 10. Plane waves in anelastic media; Answers to selected exercises; References; Index.

Edward S. Krebes is a Professor Emeritus in Geophysics in the Department of Geoscience at the University of Calgary. He has published many peer-reviewed papers on seismic wave propagation theory in leading journals such as the Journal of Geophysical Research, Geophysics, Geophysical Journal International, and the Bulletin of the Seismological Society of America. He recently co-authored and published another book, Seismic Forward Modeling of Fractures and Fractured Medium Inversion (2017). He was an Associate Editor of the journal Geophysics. His primary research interests are in theoretical and computational seismology, and seismic wave propagation in particular.