Theory of Seismic Imaging [Paperback]

Seismic imaging methods are currently used to produce images of the Earth's subsurface properties at diverse length scales, from high-resolution, near-surface environmental studies for oil and gas exploration to long-period images of the entire planet. This book presents the physical and mathematical basis of imaging algorithms in the context of controlled-source reflection seismology. The approach taken is motivated by physical optics and theoretical seismology. The theory is constantly put into practice via a graded sequence of computer exercises using the widely available SU (Seismic Unix) software package.Seismic imaging methods are currently used to produce images of the Earth's subsurface properties at diverse length scales, from high-resolution, near-surface environmental studies for oil and gas exploration to long-period images of the entire planet. This book presents the physical and mathematical basis of imaging algorithms in the context of controlled-source reflection seismology. The approach taken is motivated by physical optics and theoretical seismology. The theory is constantly put into practice via a graded sequence of computer exercises using the widely available SU (Seismic Unix) software package.to seismic migration.- Harmonic analysis, delta functions, and all that.- Equations of motion for the earth.- Elastic wave equations.- Ray theory.- Kirchhoff migration.- Kirchhoff migration/inversion.- The method of stationary phase.- Downward continuation of the seismic wavefield.- Plane wave decomposition of seismograms.- Numerical methods for tracing rays.- Finite difference methods for wave propagation and migration.- SU user's manual.- SUB user's guide.The material covered in this book is more than enough for a one-semester graduate course in seismic imaging, by the end of which students will not only be writing their own migration codes, patterned on codes in the book, but will be well-prepared to read the current literature.Springer Book ArchivesDE