Reflection and refraction of obliquely incident elastic waves upon the interface between two porous elastic half-spaces saturated by different fluid mixtures

Yeh, Chih-Hung; Lo, Wei Cheng; Jan, Chyan Deng; Yang, Chi Chin

doi:10.1016/j.jhydrol.2010.10.018

Cited by 31 publications

(17 citation statements)

References 28 publications

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“…The problem of reflection and transmission of seismic waves at a sandwiched layer is an important phenomenon due to its practical applications in earthquake engineering, geophysics, seismology, petroleum engineering and hydrology. During the past several decades, most of the studies on reflection and transmission phenomena have preferred to use a single interface, for example Pride et al (1992), Kaynia and Banerjee (1993), Gurevich and Schoenberg (1999), Denneman et al (2002), Sharma (2008Sharma ( , 2013, Tomar and Arora (2006), Arora and Tomar (2007), Yeh et al (2010), Sharma and Kumar (2011), Chen et al (2012), Saini (2012, 2016), Kumar and Sharma (2013), Kumar and Kumari (2014). The latest book by Carcione (2014) is also recommended for relevant references and detailed procedures.…”

Section: Introductionmentioning

confidence: 99%

Seismic reflection and transmission coefficients of a single layer sandwiched between two dissimilar poroelastic solids

Kumari

Barak

Kumar³

2017

Pet. Sci.

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The seismic reflection and transmission characteristics of a single layer sandwiched between two dissimilar poroelastic solids saturated with two immiscible viscous fluids are investigated. The sandwiched layer is modeled as a porous solid with finite thickness. The propagation of waves is represented with potential functions. The displacements of particles in different phases of the aggregate are defined in terms of these potential functions. Due to the presence of viscosity in pore fluids, the reflected and transmitted waves are inhomogeneous in nature, i.e., with different directions of propagation and attenuation. The closed-form analytical expressions for reflection and transmission coefficients are derived theoretically for appropriate boundary conditions. These expressions are calculated as a non-singular system of linear algebraic equations and depend on the various parameters involved in this non-singular system. Hence, numerical examples are studied to determine the effects of various properties of the sandwich layer on reflection and transmission coefficients. The essential features of layer thickness, incident direction, wave frequency, liquid saturation and capillary pressure of the porous layer on reflection and transmission coefficients are depicted graphically and discussed. The analysis shows that reflection and transmission coefficients are strongly associated with incident direction and various properties of the porous layer.

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Section: Introductionmentioning

confidence: 99%

Seismic reflection and transmission coefficients of a single layer sandwiched between two dissimilar poroelastic solids

Kumari

Barak

Kumar³

2017

Pet. Sci.

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“…Phenomenon of reflection and refraction of waves from the boundaries of poroelastic materials has been discussed by many researchers, for example, Deresiewicz (1960Deresiewicz ( , 1964a, Deresiewicz and Rice (1962), Dutta and Ode (1983), Sharma and Gogna (1991), Sharma and Saini (1992), Sharma (2008), Lin et al (2005), Tomar and Arora (2006), Arora and Tomar (2007), Yeh et al (2010), Markov (2009), Sharma andKumar (2011), Kumar and Saini (2012), Sharma and Saini (2012), Kumar and Sharma (2013), Kumar and Kumari (2014). Present problem considers to study the reflection and refraction phenomenon at a plane interface between a non-viscous porous solid saturated with single fluid and a porous solid saturated by two immiscible fluids.…”

Section: Introductionmentioning

confidence: 99%

Reflection and Refraction of Waves at the Boundary of a Non-Viscous Porous Solid Saturated with Single Fluid and a Porous Solid Saturated with Two Immiscible Fluids

Kumar¹,

Saini

2016

Lat. Am. j. solids struct.

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The phenomenon of reflection and refraction is studied at the welded interface between two different porous solids. One is saturated with single non-viscous fluid and other is saturated with two immiscible viscous fluids. The incidence of Pf, Ps or SV wave through porous solid saturated with non-viscous fluid results in the three reflected waves and the four waves refracted to porous medium saturated with two immiscible viscous fluids. For the presence of viscosity in pore-fluids, the waves refracted to corresponding medium attenuate in the direction normal to the interface. It is also revealed that for the post-critical incidence of Ps wave, the reflected Pf and SV waves becomes evanescent and for the post-critical incidence of SV wave, the reflected Pf wave becomes evanescent. While, the occurrence of critical incidence is not observed for the incidence of Pf wave. The ratios of amplitudes of reflected and refracted waves to that of incident wave are expressed through a non-singular system of linear algebraic equations. These amplitude ratios are used further to calculate the shares of different scattered waves in the energy of incident wave. For a particular numerical model, the energy shares are computed for incident direction varying from normal incidence to grazing incidence. The conservation of energy across the interface is verified. Effects of non-wet saturation of pores, frequency of wave and porosity on the energy partitions are depicted graphically and discussed.

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“…Due to the appearance of gas phase, besides two longitudinal waves (P1 wave and P2 wave) and one transverse wave (S wave) in Biot theory, which appear in the fully liquid-saturated porous medium, an additional longitudinal wave (P3 wave) emerges [23][24][25][26][27]. Based on the three-phase porous theory, reflection and transmission phenomenon of incident waves at the plane surface of semi-infinite porous material were discussed [28,29].…”

Section: Introductionmentioning

confidence: 99%

Plane Wave at the Interface Between Water and a Gassy Poroelastic Layer With Underlying Elastic Seabed

Chen¹,

Chen²

2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. Based on the multiphase poroelasticity theory, the reflection characteristics of an obliquely incident plane wave upon a plane interface between overlying water and a gassy marine sediment layer with underlying elastic solid seabed are investigated. The sandwiched gassy layer is modeled as a porous material with finite thickness, which is saturated by two compressible and viscous fluids (liquid and gas). The closed-form expression for the ampli-

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Reflection and refraction of obliquely incident elastic waves upon the interface between two porous elastic half-spaces saturated by different fluid mixtures

Cited by 31 publications

References 28 publications

Seismic reflection and transmission coefficients of a single layer sandwiched between two dissimilar poroelastic solids

Seismic reflection and transmission coefficients of a single layer sandwiched between two dissimilar poroelastic solids

Reflection and Refraction of Waves at the Boundary of a Non-Viscous Porous Solid Saturated with Single Fluid and a Porous Solid Saturated with Two Immiscible Fluids

Plane Wave at the Interface Between Water and a Gassy Poroelastic Layer With Underlying Elastic Seabed

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