On the Green function in visco-elastic media obeying a frequency power-law
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 vi...
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| Veröffentlicht in: | Mathematical methods in the applied sciences 2011-05, Vol.34 (7), p.819-830 |
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| container_title | Mathematical methods in the applied sciences |
| container_volume | 34 |
| creator | Bretin, E. Bustos, L. Guadarrama Wahab, A. |
| description | 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. Copyright © 2011 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/mma.1404 |
| format | Article |
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Guadarrama</creatorcontrib><creatorcontrib>Wahab, A.</creatorcontrib><title>On the Green function in visco-elastic media obeying a frequency power-law</title><title>Mathematical methods in the applied sciences</title><addtitle>Math. Meth. Appl. Sci</addtitle><description>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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| source | Wiley Blackwell Single Titles |
| subjects | Approximation Attenuation elasticity imaging Exact sciences and technology frequency power law Green function Green's functions Mathematical analysis Mathematical models Mathematics Numerical Analysis Operators Ordinary differential equations Partial differential equations Power law Sciences and techniques of general use stationary phase theorem visco-elastic wave equation Viscoelasticity |
| title | On the Green function in visco-elastic media obeying a frequency power-law |
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