Reflection of attenuated waves at the surface of a fractured porous solid saturated with two immiscible viscous fluids

Kumar, Manjeet; Kumari, Manjeet

doi:10.1590/s1679-78252014000700008

Cited by 6 publications

(3 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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.

View full text Add to dashboard Cite

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.

show abstract

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.

View full text Add to dashboard Cite

show abstract

“…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.

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…Kumar and Sharma (2013) studied the reflection and transmission of attenuated waves at the boundary between two dissimilar poroelastic solids saturated with two immiscible viscous fluids. Kumar and Kumari (2014) studied the reflection of attenuated waves at the surface of fractured porous solids saturated with two immiscible viscous fluids.…”

mentioning

confidence: 99%

Reflection/refraction at the interface of an elastic solid and a partially saturated porous solid containing liquid filled bound pores and a connected pore space saturated by two-phase fluid

Saini

2015

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

The phenomena of reflection and refraction of plane waves incident obliquely at a plane interface between uniform elastic solid halfspace and porous solid containing liquid filled bound pores and twophase fluid in connected pores has been analyzed. The amplitude ratios of the reflected and refracted waves to that of the incident wave are calculated as a non-singular system of linear algebraic equations. These amplitude ratios are used further to derive the expressions for the partition of incident energy among the reflected and refracted waves. Partition of incident energy among the reflected and refracted waves is studied for incidence of P and SV waves. The conservation of the energy across the interface is verified. The effect of gas saturation, wave frequency, capillary pressure and bound liquid film on the amplitude ratios and energy partitions are studied in the numerical example.

show abstract

Reflection of attenuated waves at the surface of a fractured porous solid saturated with two immiscible viscous fluids

Cited by 6 publications

References 42 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

Reflection/refraction at the interface of an elastic solid and a partially saturated porous solid containing liquid filled bound pores and a connected pore space saturated by two-phase fluid

Contact Info

Product

Resources

About