Generalized Rayleigh wave propagation in a covered half-space with liquid upper layer

On attenuation of the seismic Rayleigh waves propagating in an elastic crustal layer over viscoelastic mantle

“…These considerations directed the authors to study the near-surface wave dispersion and attenuation of a viscoelastic covered half-space utilising a more realistic mathematical model (Akbarov and Negin 2017b) by using Rabotnov (1980) fractionalexponential operators which are used in the papers by Akbarov (2014Akbarov ( , 2015, Akbarov and Kepceler (2015), Akbarov et al (2016a, b) and Kocal and Akbarov (2017) in the first place. This study, in that sense, is actually an extension of the authors' previous studies (Negin et al 2014;Negin 2015; Akbarov and Negin 2017a) on dispersion of the generalised Rayleigh waves in an initially stressed elastic covered half-space to the viscoelastic case, where the constitutive relations of the materials of the covering layer and the half-space are described through the fractional-exponential operator by Rabotnov (1980). A review of the fractional-exponential operator, proposed for the first time by Rabotnov, is given in the monograph by Rabotnov (1980) and in the papers by Rossikhin (2010), Bosiakov (2014), Rossikhin and Shitikova (2014) and others listed therein.…”

Genelleştirilmiş Rayleigh Dalgaların Viskoelastik Tabakalı Yarı-uzay Ortamlarda Sönümlenmesi

“…Note that the study made in paper [18] in a certain sense, is the extension of the authors previous works [26][27][28] on dispersion of the generalized Rayleigh waves in an initially stressed elastic covered half-space to viscoelastic cases, where the constitutive relations for the covering layer and the halfspace materials are described by the fractional exponential operator by Rabotnov [19]. Nevertheless, in the paper [18], dispersion of Rayleigh waves in a viscoelastic covered halfspace is studied for the selected wave attenuation cases determined according to the rules described in [29,30].…”