Finite difference modeling of seismic wave propagation in monoclinic media

Kalyani, V. K.; Sinha, A.; Pallavika,; Chakraborty, Subhankari Prasad; Mahanti, N. C.

doi:10.2478/s11600-008-0049-3

Cited by 26 publications

(11 citation statements)

References 9 publications

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“…doi:10.1016/j.ijsolstr.2010.01.019 media, where the layer may be either isotropic or anisotropic. Kalyani et al (2008) have solved a problem of wave propagation in monoclinic media using finite difference method.…”

Section: Introductionmentioning

confidence: 99%

The dispersion of shear wave in multilayered magnetoelastic self-reinforced media

Chattopadhyay

Gupta

Singh

2010

International Journal of Solids and Structures

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a b s t r a c tIn this paper, we study the propagation of shear waves in a magnetoelastic self-reinforced medium using finite difference technique. Dispersion equation has been deduced for the case when (n À 1) layers lie over a half space. It is observed that the obtained dispersion equation is in assertion with the classical Love wave equation for both the cases when a single and double layer lies over a half space. The stability condition for the used finite difference scheme and the expression for the phase and group velocity have been derived. The dispersion curve for different values of magnetoelastic coupling parameter, phase and group velocity variation for different values of stability ratio has been depicted by means of graphs.

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Section: Introductionmentioning

confidence: 99%

The dispersion of shear wave in multilayered magnetoelastic self-reinforced media

Chattopadhyay

Gupta

Singh

2010

International Journal of Solids and Structures

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“…Chen et al [9] discussed a mixture theory analysis for the surface wave propagation in an unsaturated porous medium. Kalyani et al [10] pointed out the finite difference modeling of seismic wave propagation in monoclinic media.…”

Section: Introductionmentioning

confidence: 99%

Propagation of Love-Type Wave in Porous Medium over an Orthotropic Semi-Infinite Medium with Rectangular Irregularity

Vaishnav

Kundu

Gupta

et al. 2016

Mathematical Problems in Engineering

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Propagation of Love-type wave in an initially stressed porous medium over a semi-infinite orthotropic medium with the irregular interface has been studied. The method of separation of variables has been adopted to get the dispersion relation of Love-type wave. The irregularity is assumed to be rectangular at the interface of the layer and half-space. Finally, the dispersion relation of Love wave has been obtained in classical form. The presence of porosity, irregularity, and initial stress in the dispersion equation approves the significant effect of these parameters in the propagation of Love-type waves in porous medium bounded below by an orthotropic half-space. The scientific effect of porosity, irregularity, and initial stress in the phase velocity of the Love-type wave propagation has been studied and shown graphically.

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“…Gupta et al (2012a) pointed that in a homogeneous layer over a heterogeneous half-space torsional waves do exist. The commendable works by Islam et al (2014), Chattopadhyay et al (2012cChattopadhyay et al ( , 2013b, Kalyani et al (2008), Pal and Mandal (2014) in the study of seismic waves may be cited.…”

Section: Introductionmentioning

confidence: 99%

Effect of irregularity on torsional surface waves in an initially stressed anisotropic porous layer sandwiched between homogeneous and non-homogeneous half-space

et al. 2016

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The present paper is concerned with the propagation of torsional surface waves in an initially stressed anisotropic porous layer sandwiched between homogeneous and non-homogeneous half-space. We assume the quadratic inhomogeneity in rigidity and density in the lower half-space and irregularity is taken in the form of rectangle at the interface separating the layer from the lower half-space. The dispersion equation for torsional waves has been obtained in a closed form. Velocity equation is also obtained in the absence of irregularity. The study reveals that the presence of irregularity, initial stress, porosity, inhomogeneity and anisotropy factor in the dispersion equation approves the significant effect of these parameters in the propagation of torsional waves in porous medium. It has also been observed that for a uniform media, the velocity equation reduces to the classical result of Love wave.

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Finite difference modeling of seismic wave propagation in monoclinic media

Cited by 26 publications

References 9 publications

The dispersion of shear wave in multilayered magnetoelastic self-reinforced media

The dispersion of shear wave in multilayered magnetoelastic self-reinforced media

Propagation of Love-Type Wave in Porous Medium over an Orthotropic Semi-Infinite Medium with Rectangular Irregularity

Effect of irregularity on torsional surface waves in an initially stressed anisotropic porous layer sandwiched between homogeneous and non-homogeneous half-space

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