Study of torsional wave in a poroelastic medium sandwiched between a layer and a half-space of heterogeneous dry sandy media

Alam, Parvez; Kundu, Santimoy; Gupta, Shishir; Saha, Anup

doi:10.1080/17455030.2017.1335915

Cited by 21 publications

(6 citation statements)

References 27 publications

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“…The values of porosity parameters can be described in the corresponding medium M i ( i = 1, 2) as (Alam et al , 2018b): If ϕ0(i)→1, when the medium M i is non-porous solid. If ϕ0(i)→0, when the medium M i is fluid. If 0<ϕ0(i)<1, when the medium M i is poroelastic/poroviscoelastic. …”

Section: Numerical Examples and Discussionmentioning

confidence: 99%

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Attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips

Alam

Jena

Badruddin

et al. 2021

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Purpose This paper aims to study the attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips. Numerical investigations are performed for the phase and damped velocity profiles of the wave. For numerical computation purposes, water-saturated limestone and kerosene oil saturated sandstone for the first and second porous strips, respectively. Some other peculiarities have been observed and discussed. Design/methodology/approach Dispersion and attenuation characteristic of the shear wave propagations have been studied in an inhomogeneous poro-anelastic strip of finite thickness, which is clamped between an inhomogeneous poroelastic strip of finite thickness and an elastic half-space. Both the strips are initially stressed and the half-space is self-weighted. Analytical methods are used to calculate the interior deformations of the model with the involvement of special functions. The determination of the frequency equation, which includes the Bessel’s and Whittaker functions, has been obtained using the prescribed boundary conditions. Findings Impacts of attenuation coefficient, dissipation factor, inhomogeneities, initial stresses, Biot’s gravity, porosity and thickness ratio parameters on the velocity profile of the wave have been demonstrated through the graphical visuals. These parameters are playing an important role and working as a catalyst in affecting the propagation behaviour of the wave. Originality/value Inclusion of the concept of doubly layered initially stressed inhomogeneous porous structure of elastic and anelastic medium bedded over a self-weighted half-space medium brings a novelty to the existing literature related to the study of shear wave. It may be helpful to geologists, seismologists and structural engineers in the development of theoretical and practical studies.

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Section: Numerical Examples and Discussionmentioning

confidence: 99%

“…Shekhar and Parvez (2016) examined torsional waves in a double porous layer lying over a Gibson half-space. Alam et al (2018b) established torsional waves analysis in a clamped poroelastic medium. Kundu et al (2017) established a complex frequency equation for the SH-wave propagation in an anisotropic porous and viscoelastic layer.…”

Section: Introductionmentioning

confidence: 99%

Attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips

Alam

Jena

Badruddin

et al. 2021

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“…Vardoulakis (1984) and Ke et al (2006) commented on surface wave propagation in different inhomogeneous layer. Also, surface wave propagation was studied in the stratified sandwiched type structure and called attention toward the pattern of phase velocity caused by affecting parameters Alam (2018).…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, this presented research work provides a different view over the study of torsional surface waves than the earlier published articles. Previously published articles on the wave generation were conducted in different models under the various affecting parameters (Dey and Sarkar, 2002;Alam, 2018;Chattopadhyay et al, 2012) and considered the impact on phase velocity, whereas the comparisons between phase/damped velocities are also included in this study. Study on torsional wave generation in the present model is not carried out till now.…”

Section: Introductionmentioning

confidence: 99%

Surface wave scattering analysis in an initially stressed stratified media

Mandi

Kundu

Pal

2021

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Design/methodology/approach The present discussed problem deals with the torsional surface wave scattering in an initially stressed inhomogeneous medium. The assumed model consists of tri-mediums resting over a viscoelastic semi-infinite medium and the considered tri-mediums are transversely isotropic, porous, and heterogeneous respectively under the impression of initial stress. Design/methodology/approach Heterogeneities are associated with density and rigidity in the intermediate layer and considered heterogeneities are of the trigonometric form. Displacement components are derived for mediums by applying separable variables. Findings Frequency equation is deduced by using suitable boundary conditions, defined at the free surface of the uppermost medium, and on the interfaces between mediums. The derived equation is of the complex form, real and imaginary parts direct the phase/damped velocities respectively. Additional results are considered in particular cases. Numerical examples are adopted for computing frequency equation and drawn consequences are demonstrated graphically to analyze the significant impact of various parameters on the phase velocity as well as on damped velocity of the surface wave sketched against the wavenumber. Originality/Value This presented research work provides a different view over the analysis of torsional surface waves than the earlier investigations. Previously studied problems on the wave generation were conducted in different models under the various affecting parameters. Study on torsional wave generation in the present model is not carried out till now. This study may find its virtue in the theoretical aspect as well as in the possible practical implications. The outcomes are relevant to geology and allied areas; moreover, the concern applications may be implicated in geological exploration, civil engineering, and prediction of Earthquake etc.

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“…Later on, Gupta and Ahmed [20] derived the frequency equation for the propagation of Love waves by separation of variables method in dry sandy media which were bounded by a fiber-reinforced layer and a pre-stressed porous half-space. After that, the closed form of the dispersion relation has been obtained for the torsional surface wave propagation in an anisotropic poroelastic layer which is lying between two heterogeneous dry sandy media by Alam et al [9] Quite a large number of articles is available elucidating the traversal phenomena of Love-type waves in various stratified Earth models. The vibrational analysis of SH-waves in different magneto-elastic Earth's structure has been mathematically carried out by Alam et al [7] and Kundu et al [26].…”

Section: Introductionmentioning

confidence: 99%

Vibrational analysis of Love waves in a viscoelastic composite multilayered structure

et al. 2020

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A unified procedure is presented to investigate the dispersion and damping behavior of Love waves in a double-layered structure. The double-layered structure is comprised of a viscoelastic fiber-reinforced medium (Medium I) embedded between a viscoelastic sandy layer (Medium II) and a viscoelastic porous semi-infinite medium (Medium III). The displacement vectors for the respective medium have been obtained using analytical techniques. Using the separation of variables method and admissible boundary conditions at the free surface and the interfaces, the complex frequency equation is obtained in closed form. The substantial impact of all material parameters involved in the considered model on the phase velocity as well as damped velocity has been observed numerically and shown by graphical illustrations. The outcomes from this analysis may serve as a dynamic tool in various fields including geophysics, geotechnical, and earthquake engineering.

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Study of torsional wave in a poroelastic medium sandwiched between a layer and a half-space of heterogeneous dry sandy media

Cited by 21 publications

References 27 publications

Attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips

Attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips

Surface wave scattering analysis in an initially stressed stratified media

Vibrational analysis of Love waves in a viscoelastic composite multilayered structure

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