Coupling effects in double porosity media with deformable matrix

Khalili, Nasser

doi:10.1029/2003gl018544

Cited by 64 publications

(38 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This deficiency was eliminated in the formulations proposed by Khalili & Valliappan (1996), Tuncay & Corapcioglu (1996), Wang & Berryman (1996), Khalili et al (1999), and Loret & Rizzi (1999). Khalili (2003) highlighted the significance of the cross-coupling effects on the pore and fracture fluid pressure response of double-porosity media. Then the credit for comprehensive discussion on wave propagation in fractured porous media saturated with two immiscible viscous fluids goes to Tuncay & Corapcioglu (1996a, b).…”

Section: Introductionmentioning

confidence: 99%

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

Kumar¹,

Kumari²

2014

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

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

Kumar¹,

Kumari²

2014

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

“…α 1 and α 2 measure the compressibilities of the pore and fissure systems, respectively, α 3 is the cross-coupling compressibility for fluid flow at the interface between the two pore systems at a microscopic level [8], [9], [10]. However, the coupling effect (α 3 ) is often neglected in the literature [4], [5], [6].…”

Section: Basic Equationsmentioning

confidence: 99%

“…In the absence of body force the governing system of field equations of the linear quasi-static theory of elasticity for solid with double porosity consists of the following equations [8], [9], [10].…”

Section: Basic Equationsmentioning

confidence: 99%

“…For an extensive review of works on the potential method, see Gegelia and Jentsch [17]. This paper concerns with the quasi-static theory of bone poroelasticity for materials with double porosity [8], [9], [10]. The system of equations of this theory based on the equilibrium equations, conservation of fluid mass, the effective stress concept and Darcy's law for a material with double porosity.…”

Section: Introductionmentioning

confidence: 99%

“…The cross-coupled terms were included in the equations of conservation of mass for the pore and fissure fluid by several authors [8], [9], [10].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Mathematical Problems in the Theory of Bone Poroelasticity

Svanadze

Scalia

2012

BIOMATH

View full text Add to dashboard Cite

BIOMATH h t t p : / / w w w. b i o m a t h f o r u m . o r g / b i o m a t h / i n d e x . p h p / b i o m a t h /Abstract-This paper concerns with the quasi-static theory of bone poroelasticity for materials with double porosity. The system of equations of this theory based on the equilibrium equations, conservation of fluid mass, the effective stress concept and Darcy's law for material with double porosity. The internal and external basic boundary value problems (BVPs) are formulated and uniqueness of regular (classical) solutions are proved. The single-layer and double-layer potentials are constructed and their basic properties are established. Finally, the existence theorems for classical solutions of the BVPs are proved by means of the potential method (boundary integral method) and the theory of singular integral equations.

show abstract

Reflection of plane waves in a rotating micropolar double porous thermoelastic medium with temperature dependent properties

Sheoran,

Kalkal,

Chaudhary

2024

Heat Trans

View full text Add to dashboard Cite

The objective of this empirical investigation is to explore the behavior of different waves reflected in a homogenous isotropic double porous structured micropolar thermoelastic medium with rotation and temperature‐dependent characteristics. Three‐phase‐lag theory of thermoelasticity is adopted to acquire the governing equations of the model. Six coupled plane waves have been found to propagate across the medium at distinct velocities. Derivation for energy and amplitude ratios of reflected waves were carried out by employing appropriate boundary conditions. For different angles of incidence, the outcomes for energy partition were determined numerically and displayed graphically. It is found that amplitude ratios associated with various reflected waves are affected by angular velocity, temperature‐dependent properties, micropolar parameter, and double porosity. Also, it has been discovered that throughout the reflection phenomena there is no dissipation of energy. Furthermore, this study concludes with a summary of the findings and subsequent observations. The current investigation has yielded inferences regarding specific cases that are of particular interest.

show abstract

Coupling effects in double porosity media with deformable matrix

Abstract: The significance of the microscopic coupling effects on the macroscopic response of double porosity media is investigated in reference to the consolidation of fissured clays. The basic findings of the investigation are validated through a set of laboratory test data.

Cited by 64 publications

References 6 publications

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

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

Mathematical Problems in the Theory of Bone Poroelasticity

Reflection of plane waves in a rotating micropolar double porous thermoelastic medium with temperature dependent properties

Contact Info

Product

Resources

About