Fundamentals of Geophysical Data Processing by Jon F. Claerbout (New York: McGraw-Hill, 1976)

This book describes digital signal processing methods and principles as they are used by geophysicists in the processing of seismic data. As one of the few books which discusses timeseries analysis from this perspective, it will probably become a standard for geophysicists. The material for this book is derived from two sources. The first part of the book results from class notes used by the author in a one-semester course in time-series analysis and the physics of stratified media given to geophysics students at the first-year graduate level at Stanford University, Stanford, CA. The second part of the book was compiled from work done by the author and his graduate students, and comprises much of their research efforts over the past six years. By applying specific approximations to the scalar wave equation, the author shows how stable finite difference operators can be derived to extrapolate acoustic wavefields in space. These results are now widely applied in the petroleum industry in its effort to image subsurface seismic reflectors