Surface waves in layered thermoelastic medium with double porosity structure: Rayleigh and Stoneley waves

2021 ◽  
pp. 1-26
Author(s):  
Davinder Kumar ◽  
Dilbag Singh ◽  
S. K. Tomar
Keyword(s):  
Surface Waves ◽  
Double Porosity ◽  
Thermoelastic Medium ◽  
Stoneley Waves ◽  
Porosity Structure

Effect of magnetic field on generalized thermoelastic medium with double porosity structure under L–S theory

2019 ◽  
Vol 94 (12) ◽  
pp. 1993-2004
Author(s):  
M. A. Abdou ◽  
Mohamed I. A. Othman ◽  
Ramadan S. Tantawi ◽  
Nehal T. Mansour
Keyword(s):  
Magnetic Field ◽  
Double Porosity ◽  
Thermoelastic Medium ◽  
Porosity Structure ◽  
Generalized Thermoelastic

Harmonic vibrations in thermoelastic dynamics with double porosity structure

2018 ◽  
Vol 24 (8) ◽  
pp. 2410-2424 ◽  
Author(s):  
Olivia A Florea
Keyword(s):  
Conservation Laws ◽  
Double Porosity ◽  
Porosity Structure ◽  
Harmonic Vibrations ◽  
Time Problem

This paper is a study regarding the harmonic vibrations of materials with a double porosity structure. The amplitude of vibrations corresponding to the backward in time problem is analysed. The aim is to estimate the evolution of the amplitude and to obtain conservation laws.

scholarly journals Continuous dependence on modelling for temperature-dependent bidispersive flow

2017 ◽  
Vol 473 (2208) ◽  
pp. 20170485 ◽  
Author(s):  
Franca Franchi ◽  
Roberta Nibbi ◽  
Brian Straughan
Keyword(s):  
Temperature Effects ◽  
Continuous Dependence ◽  
Double Porosity ◽  
Interaction Coefficient ◽  
Solid Skeleton ◽  
Temperature Dependent ◽  
Porosity Structure ◽  
Viscosity Coefficients ◽  
The Third ◽  
Single Temperature

We consider a model for flow in a porous medium which has a double porosity structure. There is the usual porosity herein called macro porosity, but in addition, we allow for a porosity due to cracks or fissures in the solid skeleton. The cracks give rise to a micro porosity. The model considered also allows for temperature effects with a single temperature T . This paper analyses three aspects of structural stability. The first establishes continuous dependence of the solution on the interaction coefficient between the velocities associated with the macro and micro porosity. The second analyses continuous dependence on the viscosity coefficients, while the third establishes continuous dependence on the radiation constant when Newton’s law of cooling is involved on the boundary.

scholarly journals Effect of Hall Current in Thermoelastic Materials with Double Porosity Structure

2017 ◽  
Vol 22 (2) ◽  
pp. 303-319 ◽  
Author(s):  
R. Kumar ◽  
R. Vohra
Keyword(s):  
Normal Force ◽  
Hartmann Number ◽  
Hall Current ◽  
Double Porosity ◽  
Specific Model ◽  
Thermal Source ◽  
State Space Approach ◽  
One Dimensional ◽  
Porosity Structure ◽  
Space Approach

AbstractThe present investigation is concerned with one dimensional problem in a homogeneous, isotropic thermoelastic medium with double porosity structure in the presence of Hall currents subjected to thermomechanical sources. A state space approach has been applied to investigate the problem. As an application of the approach, normal force and thermal source have been taken to illustrate the utility of the approach. The expressions for the components of normal stress, equilibrated stress and the temperature change are obtained in the frequency domain and computed numerically. A numerical simulation is prepared for these quantities. The effect of the Hartmann number is depicted graphically on the resulting quantities for a specific model. Some particular cases of interest are also deduced from the present investigation.

Reflection of plane waves in thermoelastic medium with double porosity

2016 ◽  
Vol 12 (4) ◽  
pp. 748-778 ◽  
Author(s):  
Rajneesh Kumar ◽  
Richa Vohra ◽  
M.G. Gorla
Keyword(s):  
Relaxation Time ◽  
Earthquake Engineering ◽  
Plane Waves ◽  
Practical Importance ◽  
Double Porosity ◽  
Angle Of Incidence ◽  
Amplitude Ratios ◽  
Thermoelastic Medium ◽  
Content Type ◽  
The Earth

Purpose The purpose of this paper is to study the reflection of plane waves in thermoelastic medium with double porosity structure. Design/methodology/approach A two-dimensional model is considered of an isotropic thermoelastic half-space with double porosity. Thermoelasticity with one relaxation time given by Lord and Shulman (1967) has been used to study the problem. It is found that there exists four coupled longitudinal waves, namely, longitudinal wave (P), longitudinal thermal wave (T), longitudinal volume fractional wave corresponding to pores (PVI) and longitudinal volume fractional wave corresponding to fissures (PVII), in addition to an uncoupled transverse wave (SV). Findings The formulae for amplitude ratios of various reflected waves are obtained in closed form. It is found that these amplitude ratios are functions of angle of incidence. Effect of porosity and thermal relaxation time is shown graphically on the amplitude ratios with angle of incidence for a particular model. Originality/value Reflection of plane waves is of great practical importance. There are many organic and inorganic deposits beneath the earth surface. Wave propagation is the simplest and most economical technique to detect these. The model discussed in the present paper can provide useful information for experimental researchers working in the field of geophysics and earthquake engineering, along with seismologist working in the field of mining tremors and drilling into the crust of the earth.

On the consolidation behaviour of double-porosity geomaterials

2021 ◽  
Author(s):  
Jinhyun Choo
Keyword(s):  
Double Porosity ◽  
Plasticity Theory ◽  
Pore System ◽  
Porosity Structure ◽  
Second Stage ◽  
Modelling Framework ◽  
Solid Deformation ◽  
Structured Soils ◽  
Simulation Results

<p>Many natural and engineered geomaterials have double-porosity structure where two dominant pore systems coexist. Examples include structured soils where the two pore systems are inter-aggregate pores and intra-aggregate pores, and fissured rocks where the two pore systems are fissures and matrix pores. Although such double-porosity materials are frequently observed in geosciences and geoengineering applications, it remains mostly unclear how fluid flow and solid deformation interact differently in single- and double-porosity materials. The presentation explores this question through numerical simulation of consolidation – a paradigmatic problem in poromechanics – based on a recently developed modelling framework for fluid-infiltrated, inelastic materials with double porosity. Built on a combination of continuum principles of thermodynamics and standard plasticity theory, the framework can capture deformation, flow, and their coupling that occur individually in each pore system. Simulation results using this framework suggest that double-porosity structure gives rise to a two-staged consolidation behaviour, where the second stage appears similar to secondary compression in clays. It is also found that the simulated two-staged behaviour bears a striking semblance to experimentally observed consolidation processes in shales. These findings suggest that double-porosity structure may exert dominant control over the long-term hydro-mechanical behaviour of geomaterials.</p>

scholarly journals Effects of Rotation and Gravity Field on Surface Waves in Fibre-Reinforced Thermoelastic Media under Four Theories

2013 ◽  
Vol 2013 ◽  
pp. 1-20 ◽  
Author(s):  
A. M. Abd-Alla ◽  
S. M. Abo-Dahab ◽  
A. Al-Mullise
Keyword(s):  
Surface Waves ◽  
Rayleigh Waves ◽  
Relaxation Times ◽  
Type Ii ◽  
Physical Domain ◽  
Stoneley Waves ◽  
Harmonic Vibrations ◽  
Effects Of Rotation ◽  
Analytical Expressions ◽  
Thermoelastic Theory

Estimation is done to investigate the gravitational and rotational parameters effects on surface waves in fibre-reinforced thermoelastic media. The theory of generalized surface waves has been firstly developed and then it has been employed to investigate particular cases of waves, namely, Stoneley waves, Rayleigh waves, and Love waves. The analytical expressions for surface waves velocity and attenuation coefficient are obtained in the physical domain by using the harmonic vibrations and four thermoelastic theories. The wave velocity equations have been obtained in different cases. The numerical results are given for equation of coupled thermoelastic theory (C-T), Lord-Shulman theory (L-S), Green-Lindsay theory (G-L), and the linearized (G-N) theory of type II. Comparison was made with the results obtained in the presence and absence of gravity, rotation, and parameters for fibre-reinforced of the material media. The results obtained are displayed by graphs to clear the phenomena physical meaning. The results indicate that the effect of gravity, rotation, relaxation times, and parameters of fibre-reinforced of the material medium is very pronounced.

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