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On the Green function in visco-elastic media obeying a frequency power-law by E. Bretin; L. Guadarrama Bustos; A. Wahab is a Mathematics article available to read on EtoBox.

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In this work, we present an explicit expression for the Green function in a visco-elastic medium. We choose Szabo and Wu's frequency power law model to describe the visco-elastic properties and derive a generalized visco-elastic wave equation. We express the ideal Green function (without any viscous effect) in terms of the viscous Green function using an attenuation operator. By means of an approximation of the ideal Green function, we address the problem of reconstructing a small anomaly in a visco-elastic medium from wavefield measurements.

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Author

E. Bretin; L. Guadarrama Bustos; A. Wahab

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 0170-4214)

Published

2011

Language

EN

Field

Mathematics (Physical Sciences)