Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion

In the last 40 years geophysicists have found that it is possible to construct images and even determine important physical characteristics of rocks that can yield information about oil and gas bearing structures in the earth. To make these images and extract this information requires the applicatio...

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Bibliographic Details
Main Authors: Bleistein, N., Cohen, J.K. (Author), Stockwell, John W. Jr (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2001, 2001
Edition:1st ed. 2001
Series:Interdisciplinary Applied Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion  |h Elektronische Ressource  |c by N. Bleistein, J.K. Cohen, John W. Jr. Stockwell 
250 |a 1st ed. 2001 
260 |a New York, NY  |b Springer New York  |c 2001, 2001 
300 |a XXX, 510 p  |b online resource 
505 0 |a 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 
653 |a Geophysics 
653 |a Mathematical analysis 
653 |a Analysis 
653 |a Mathematical physics 
653 |a Theoretical, Mathematical and Computational Physics 
700 1 |a Cohen, J.K.  |e [author] 
700 1 |a Stockwell, John W. Jr  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Interdisciplinary Applied Mathematics 
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082 0 |a 515 
520 |a In the last 40 years geophysicists have found that it is possible to construct images and even determine important physical characteristics of rocks that can yield information about oil and gas bearing structures in the earth. To make these images and extract this information requires the application of an advanced understanding of the mathematical physics of wave propagation. The oil and gas industry labels a major collection of the necessary seismic data processing methods by the name seismic "migration". This text ist the first to treat many kinds of migration in a unified mahtematical way. The audience is mathematically oriented geophysicists or applied mathematicians working in the field of "inverse scattering imaging". The text can serve as a bridge between the applied math and geophysics community by presenting geophysicists with a practical introduction to advanced engineering mathematics, while presenting mathematicians with a window into the world of the mathematically sophistiated geophysicist