Body Waves in Composite Solid Matrix Containing Two Immiscible Fluids

Arora, Ashish; Painuly, Abhishek; Tomar, S. K.

doi:10.1007/s11242-015-0486-9

Cited by 5 publications

(15 citation statements)

References 34 publications

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“…Numerical parameters for the considered medium are given in Table (Arora et al . ). The expressions for bulk and shear moduli

(K_{m j}, μ_{m j})

of dry sandstone and clay frames follow Krief's equations.…”

Section: Numerical Resultsmentioning

confidence: 97%

“…This is due to the fact that this wave is a capillary pressure wave (Arora et al . ) and arises due to the presence of two fluids in the medium. Figure (a)–(f) demonstrates variations in amplitude ratios of various waves with

S_{s_{2}}^{+}

at fixed angle of incidence

θ_{0} = 45^{\circ}

and

S_{s_{2}}^{-} = 0.38

.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Following Arora et al . (), the governing field equations for such a medium are given by

F false(boldu false) = I,

where

u = {[u^{s 1} u^{w} u^{o} u^{s 2}]}^{T}

is a column vector. Symbols

{boldu}^{s 1}

and

{boldu}^{s 2}

are used to represent displacements in solid phases of the medium.…”

Section: Governing Equationsmentioning

confidence: 99%

“…The coefficients in these stress–strain relations have been determined by Arora et al . () by invoking the idea of generalised compressibility tests given by Santos et al . ().…”

Section: Governing Equationsmentioning

confidence: 99%

“…The model equations developed by Arora et al . () are used for investigation. When an inhomogeneous wave propagating in such a medium encounters some discontinuity, it scatters into 12 reflected and transmitted waves.…”

Section: Introductionmentioning

confidence: 99%

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Reflection and transmission of inhomogeneous waves in a composite porous solid saturated by two immiscible fluids

Painuly

Arora

2017

Geophysical Prospecting

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A B S T R A C TThis paper is concerned with reflection and transmission of a plane, elastic, and inhomogeneous wave striking obliquely at some discontinuity inside a porous medium composed of two distinct solids and saturated by two immiscible fluids. It is found that four P-and two SV-waves are reflected, whereas four P-and two SV-waves are transmitted at the interface. All reflected and transmitted waves are inhomogeneous in nature and specified with different directions of propagation and attenuation vectors. An expression for the Umov-Poynting energy flux vector is derived for the system. Continuity of energy flux along normal to the interface gives 12 required boundary conditions. Expressions of amplitude and energy ratios of various reflected and transmitted waves are derived. Variations in amplitude and energy coefficients of reflected and transmitted waves with angle of incidence are numerically studied for a porous matrix composed of shaley sandstone and clay, saturated with water and oil. The effects of change in oil saturation and volume fraction of clay are also observed on amplitude ratios. Numerical simulation reveals that the change in sign in the difference of capillary pressure across the interface causes jump in the values of amplitude ratios of all waves.

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“…Numerical parameters for the considered medium are given in Table (Arora et al . ). The expressions for bulk and shear moduli

(K_{m j}, μ_{m j})

of dry sandstone and clay frames follow Krief's equations.…”

Section: Numerical Resultsmentioning

confidence: 97%

S_{s_{2}}^{+}

at fixed angle of incidence

θ_{0} = 45^{\circ}

and

S_{s_{2}}^{-} = 0.38

.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Following Arora et al . (), the governing field equations for such a medium are given by

F false(boldu false) = I,

where

u = {[u^{s 1} u^{w} u^{o} u^{s 2}]}^{T}

is a column vector. Symbols

{boldu}^{s 1}

and

{boldu}^{s 2}

are used to represent displacements in solid phases of the medium.…”

Section: Governing Equationsmentioning

confidence: 99%

“…The coefficients in these stress–strain relations have been determined by Arora et al . () by invoking the idea of generalised compressibility tests given by Santos et al . ().…”

Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations