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Mathematics of Multidimensional Seismic Imaging, Migration and Inversion


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Table of Contents

Preface.- Multi-Dimensional Seismic Inversion.- The One- Dimensional Inverse Problem.- Inversion in Higher Dimensions.- Large-Wavenumber Fourier Imaging.- Inversion in Heterogeneous Media.- Two-and-One Half Dimensional Inversion.- The General Theory of Data Mapping.- Distribution Theory.- The Fourier Transform of Causal Functions.- Dimensional vs. Dimensionless Variables.- An Example of Ill-Posedness.-An Elementary Introduction to Ray Theory.- Author Index.- Subject Index.


From the reviews:


"The presentation is exceptionally good, with a systematic progression from simpler to more sophisticated problems. This is very helpful to those readers not familiar with the subject...Every seismological term and every necessary mathematical concept is explained so that the book is actually self-contained...The mathematics are...kept are at a sufficiently low level of mathematical sophistication to make the book easy for its intended readership...Another advantage of the book is a careful choice of the variables...Exercises stimulate the reader's initiative and inquisitiveness. This is rather unusual in geophysical literature...Even for seasoned seismologists the book will provide an incentive to upgrade their know-how."

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