Reliability of Attenuation Properties Recovery for Viscoelastic Media

作     者：Ekaterina Efimova Vladimir Cheverda 

作者机构：The laboratory “Numerical methods of inversion of geophysical wavefields” A.A. Trofimuk Institute of Petroleum Geology and Geophysics SB RAS. Novosibirsk Russia 

出 版 物：《Open Journal of Applied Sciences》 (应用科学（英文）)

年 卷 期：2013年第3卷第1期

页      面：84-88页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Viscoelasticity Seismic Attenuation Inverse Theory Wave Propagation Singular Value Decomposition Diffraction Patterns 

摘      要：The inverse problem of seismology for media with attenuation is considered in this paper. Generalized Standard Linear Solid is used to describe viscoelastic media. In the numerical solution certain parameterizations can be coupled, it means that true heterogeneity of the only one of parameters can be restored only as a perturbation of another. This is why important to investigate reliability of parameters recovery. By using method based on diffraction patterns it is possible to see whether the parameters are coupled. Singular value decomposition was used to study the possibility of recovering the parameters in practice. It was investigated the possibility of reconstructing of the density, impedances and attenuation properties. Coupling appears on the attenuation properties and impedances separately corresponding to the P-wave and S-wave. It is also should be noted that coupling decreases with increasing frequency range and the condition number.