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- catalog abstract ""During the past 40 years geophysicists have developed many techniques, (called collectively "migration") for imaging geologic structures deep within the Earth's subsurface. Beyond merely imaging strata, migration can provide information about important physical properties of rocks, necessary for the subsequent drilling and development of oil- and gas-bearing formations within the Earth. The advancement of such technologies requires an increasingly sophisticated understanding of the mathematical physics of wave propagation. This text is the first to treat many kinds of migration in a unified mathematical way. The intended audience of the book, mathematically oriented geophysicists and applied mathematicians, will find the text useful as a guide to the subject of "inverse scattering imaging." The text can serve 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."--Jacket.".
- catalog contributor b12170903.
- catalog contributor b12170904.
- catalog contributor b12170905.
- catalog created "c2001.".
- catalog date "2001".
- catalog date "c2001.".
- catalog dateCopyrighted "c2001.".
- catalog description ""During the past 40 years geophysicists have developed many techniques, (called collectively "migration") for imaging geologic structures deep within the Earth's subsurface. Beyond merely imaging strata, migration can provide information about important physical properties of rocks, necessary for the subsequent drilling and development of oil- and gas-bearing formations within the Earth. The advancement of such technologies requires an increasingly sophisticated understanding of the mathematical physics of wave propagation. This text is the first to treat many kinds of migration in a unified mathematical way. The intended audience of the book, mathematically oriented geophysicists and applied mathematicians, will find the text useful as a guide to the subject of "inverse scattering imaging." The text can serve 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."--Jacket.".
- catalog description "1. Multidimensional seismic inversion -- 2. The one-dimensional inverse problem -- 3. Inversion in higher dimensions -- 4. Large-wavenumber Fourier imaging -- 5. Inversion in heterogeneous media -- 6. Two-and-one-half-dimensional inversion -- 7. The general theory of data mapping -- A. Distribution theory -- B. The Fourier transform of causal functions -- C. Dimensional versus dimensionless variables -- D. An example of ill-posedness -- E. An elementary introduction to ray theory and the Kirchhoff approximation.".
- catalog description "Includes bibliographical references (p. [488]-497) and indexes.".
- catalog extent "xxix, 510 p. :".
- catalog identifier "0387950613 (alk. paper)".
- catalog isPartOf "Interdisciplinary applied mathematics ; v. 13".
- catalog issued "2001".
- catalog issued "c2001.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "550/.28 21".
- catalog subject "Inverse scattering transform.".
- catalog subject "Seismic reflection method.".
- catalog subject "TN269 .B485 2001".
- catalog tableOfContents "1. Multidimensional seismic inversion -- 2. The one-dimensional inverse problem -- 3. Inversion in higher dimensions -- 4. Large-wavenumber Fourier imaging -- 5. Inversion in heterogeneous media -- 6. Two-and-one-half-dimensional inversion -- 7. The general theory of data mapping -- A. Distribution theory -- B. The Fourier transform of causal functions -- C. Dimensional versus dimensionless variables -- D. An example of ill-posedness -- E. An elementary introduction to ray theory and the Kirchhoff approximation.".
- catalog title "Mathematics of multidimensional seismic imaging, migration, and inversion / N. Bleistein, J.K. Cohen, J.W. Stockwell, Jr.".
- catalog type "text".