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Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion (Interdisciplinary Applied Mathematics, V. 13.)
 
 
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Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion (Interdisciplinary Applied Mathematics, V. 13.) [Hardcover]

N. Bleistein (Author), J.K. Cohen (Author), John W. Jr. Stockwell (Author)

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Book Description

December 15, 2000 0387950613 978-0387950617 1
For more than 80 years, the oil and gas industry has used seismic methods to construct images and determine physical characteristics of rocks that can yield information about oil and gas bearing structures in the earth. This book presents the different seismic data processing methods, also known as seismic "migration," in a unified mathematical way. The book serves as a bridge between the applied math and geophysics communities by presenting geophysicists with a practical introduction to advanced engineering mathematics, while presenting mathematicians with a window into the world of the mathematically sophisticated geophysicist.

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Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion (Interdisciplinary Applied Mathematics, V. 13.) + Seismic Data Processing with Seismic Un*x (Course Notes No. 12)
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From the reviews:

PURE APPLIED GEOPHYSICS

"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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Inside This Book (learn more)
First Sentence:
Our goal is to present a theory for determining the characteristics of the interior of a body based only on observations made on some boundary surface. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
wavespeed profile, background wavespeed, isochron surface, constant wavespeed, input traveltime, multidimensional stationary phase, wavespeed model, dynamic raytracing, arclength variables, migration dips, inversion formalism, seismic inverse problem, spurious reflectors, offset continuation, migration formula, modeling formula, reflector dip, point being imaged, forward scattering problem, stationary phase analysis, area under the filter, stationary phase formula, dip moveout, reflectivity series, inversion kernel
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Step Data, Multidimensional Seismic Inversion, The Scattering Problem, Zero-Offset Constant-Background Inversion
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