Inverse scattering in multilayer inverse problem in the presence of damping

F. D. Zaman; Khalid Masood; Z. Muhiameed

doi:10.1016/j.amc.2005.09.034

Inverse scattering in multilayer inverse problem in the presence of damping

F. D. Zaman^*
, Khalid Masood
, Z. Muhiameed

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

An inverse problem arising from recovery of wavespeed for a one-dimensional problem in a medium with constant background wavespeed in the presence of damping is discussed. Our method is based upon Born's approximation and the assumption that wavespeed and damping are well approximated by the background speed plus a perturbation term. An approximate form of Green's function for seismic data is used to derive the inversion formula. The procedure is then implemented on a medium which has two layers over which the wavespeed changes due to change in the physical properties.

Original language	English
Pages (from-to)	455-461
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	176
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2005.09.034
State	Published - 15 May 2006

Bibliographical note

Funding Information:
The authors wish to acknowledge support provided by the King Fahd University of Petroleum and Minerals, Technical College Buriadah and the Hafr Al-Batin Community College. We also thank professor Gabor Korvin, for his helpful suggestions.

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2005.09.034

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title = "Inverse scattering in multilayer inverse problem in the presence of damping",

abstract = "An inverse problem arising from recovery of wavespeed for a one-dimensional problem in a medium with constant background wavespeed in the presence of damping is discussed. Our method is based upon Born's approximation and the assumption that wavespeed and damping are well approximated by the background speed plus a perturbation term. An approximate form of Green's function for seismic data is used to derive the inversion formula. The procedure is then implemented on a medium which has two layers over which the wavespeed changes due to change in the physical properties.",

author = "Zaman, \{F. D.\} and Khalid Masood and Z. Muhiameed",

note = "Funding Information: The authors wish to acknowledge support provided by the King Fahd University of Petroleum and Minerals, Technical College Buriadah and the Hafr Al-Batin Community College. We also thank professor Gabor Korvin, for his helpful suggestions.",

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AU - Zaman, F. D.

AU - Masood, Khalid

AU - Muhiameed, Z.

N1 - Funding Information: The authors wish to acknowledge support provided by the King Fahd University of Petroleum and Minerals, Technical College Buriadah and the Hafr Al-Batin Community College. We also thank professor Gabor Korvin, for his helpful suggestions.

PY - 2006/5/15

Y1 - 2006/5/15

N2 - An inverse problem arising from recovery of wavespeed for a one-dimensional problem in a medium with constant background wavespeed in the presence of damping is discussed. Our method is based upon Born's approximation and the assumption that wavespeed and damping are well approximated by the background speed plus a perturbation term. An approximate form of Green's function for seismic data is used to derive the inversion formula. The procedure is then implemented on a medium which has two layers over which the wavespeed changes due to change in the physical properties.

AB - An inverse problem arising from recovery of wavespeed for a one-dimensional problem in a medium with constant background wavespeed in the presence of damping is discussed. Our method is based upon Born's approximation and the assumption that wavespeed and damping are well approximated by the background speed plus a perturbation term. An approximate form of Green's function for seismic data is used to derive the inversion formula. The procedure is then implemented on a medium which has two layers over which the wavespeed changes due to change in the physical properties.

UR - https://www.scopus.com/pages/publications/33646487425

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DO - 10.1016/j.amc.2005.09.034

M3 - Article

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Inverse scattering in multilayer inverse problem in the presence of damping

Abstract

Bibliographical note

ASJC Scopus subject areas

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