Porothermoelastic Media Research Articles

Wave propagation in a nonlocal microstretch saturated porothermoelastic medium under Moore-Gibson-Thompson heat conduction model

Wave propagation in a nonlocal microstretch saturated porothermoelastic medium under Moore-Gibson-Thompson heat conduction model

Rayleigh-type wave in thermo-poroelastic media with dual-phase-lag heat conduction

Purpose The purpose of this paper is to investigate the propagation of Rayleigh-type surface wave in a porothermoelastic half-space. This study addresses the impact of surface pores characteristics, specific heat, temperature, porosity, wave frequency, types of rock frame and types of pore fluids on the propagation characteristics of Rayleigh-type wave. Design/methodology/approach A secular equation is derived, based on the potential functions for both sealed and open surface pores boundary conditions at the stress-free insulated surface of the porothermoelastic medium. Findings Propagation characteristics (velocity, attenuation and particle motions) of Rayleigh wave are significantly influenced by boundary conditions (opened or sealed surface pores) and thermal characteristics of materials. Furthermore, the path of particles throughout the propagation of Rayleigh-type waves is identified as elliptical. Originality/value A numerical example is considered to examine the effect of thermal characteristics of materials on the existing Rayleigh wave’s propagation characteristics. Graphical analysis is used to evaluate the behavior of particle motion (such as elliptical) at both open and sealed surface of the porothermoelastic medium.

Effect of Temperature-Dependent Properties and Gravity on a Nonlocal Poro-Thermoelastic Medium with MDD via G-L Model

PurposeIn the present study, the effect of gravity, memory dependent and temperature-dependent parameter on a nonlocal poro-thermoelastic medium were display to address this problem.MethodsIn this research, analytical expressions of the physical quantities are derived using normal mode method. Numerical outcomes provided depicted graphically upon application force.ResultsThe model is demonstrated within the framework of the Green-Lindsay theory. Solutions of the physical quantities are obtained through normal mode method and depicted graphically.ConclusionsComparative outcomes from the graphs have been analyzed, offering an estimation of the impacts of gravity, temperature-dependent parameter, and the locality on the behavior of all the physical fields.

Inhomogeneous wave propagation in porothermoelastic medium with dual-phase-lag heat conduction

Inhomogeneous wave propagation in porothermoelastic medium with dual-phase-lag heat conduction

Propagation behavior of homogeneous plane-P1-wave at the interface between a thermoelastic solid medium and an unsaturated porothermoelastic medium

Propagation behavior of homogeneous plane-P1-wave at the interface between a thermoelastic solid medium and an unsaturated porothermoelastic medium

A mixture theory analysis for reflection phenomenon of homogeneous plane-P1-wave at the boundary of unsaturated porothermoelastic media

SUMMARY A mixture theory is employed to analyse the reflection behaviour of a homogeneous plane-P1-wave at the boundary of an unsaturated porothermoelastic medium. A non-isothermal dynamic model is employed which takes into account the interaction between the pore fluids and the solid phase of the porous material. In such an unsaturated porothermoelastic cases, the theoretical expressions of the amplitude reflectivity and energy ratio for five kinds of reflected waves generated by the incidence of homogeneous plane-P1-wave, that is reflected P1, P2, P3, S and thermal waves, are derived by taking into consideration of the traction-free, water-permeable, air-permeable and adiabatic boundary conditions. The numerical results are obtained and utilized to discuss the relationship between the amplitude reflectivity and energy ratio of each reflected wave and the thermophysical parameters of the unsaturated porothermoelastic media. The results show that the amplitude and energy carried by the incident wave are mainly occupied by reflected P1 wave and reflected S wave. The amplitude reflectivity and energy ratio of each reflected wave is not just related to the incident angle but also affected by the saturation, thermal expansion coefficient and initial reference temperature. The phase lags of the heat flux and temperature gradient and the thermal conductivity only have a large effect on the amplitude reflectivity and energy ratio of reflected thermal wave.

The Effects of Fractional Time Derivatives in Porothermoelastic Materials Using Finite Element Method

In this work, a new model for porothermoelastic waves under a fractional time derivative and two time delays is utilized to study temperature increments, stress and the displacement components of the solid and fluid phases in porothermoelastic media. The governing equations are presented under Lord–Shulman theory with thermal relaxation time. The finite element method has been adopted to solve these equations due to the complex formulations of this problem. The effects of fractional parameter and porosity in porothermoelastic media have been studied. The numerical outcomes for the temperatures, the stresses and the displacement of the fluid and the solid are presented graphically. These results will allow future studies to gain a detailed insight into non-simple porothermoelasticity with various phases.

Electromagnetic field and initial stress on a porothermoelastic medium

In this study, the porothermoelastic problem with the effect of the magnetic field and initial stress was investigated. We applied normal mode analysis to solve the resulting non-dimensional coupled equations. Numerical results for the displacements, temperature distribution, pore pressure, stresses, induced electric field and induced magnetic field distributions are presented graphically and discussed. The medium deformed because of thermal shock and due to the application of the magnetic field, there result an induced magnetic and an induced electric field in the medium. Numerical analyses are given graphically on the square (2D) and cubic (3D) domains to illustrate the effects of the porosity parameter, magnetic field and initial stress parameter on the physical variables.

A Study on Thermoelastic Interaction in a Poroelastic Medium with and without Energy Dissipation

In the current work, a new generalized model of heat conduction has been constructed taking into account the influence of porosity on a poro-thermoelastic medium using the finite element method (FEM). The governing equations are presented in the context of the Green and Naghdi (G-N) type III theory with and without energy dissipations. The finite element scheme has been adopted to present the solutions due to the complex formulations of this problem. The effects of porosity on poro-thermoelastic material are investigated. The numerical results for stresses, temperatures, and displacements for the solid and the fluid are graphically presented. This work provides future investigators with insight regarding details of non-simple poro-thermoelasticity with different phases.

Generalized Thermoelastic Interactions in a Poroelastic Material Without Energy Dissipations

The purpose of this investigation is providing a method to study the effect of porosity in a porothermoelastic medium by the finite element technique. The formulations are applied under Green-Naghdi model without energy dissipations. One-dimensional application for a poroelastic half-space is considered. Due to the complex basic equations, the finite element method (FEM) has been adopted to solve this problem. The numerical outcomes for displacements, temperatures and the stress components are represented graphically for the solid and the fluid.

A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method

The purpose of this study is to provide a method to investigate the effects of thermal relaxation times in a poroelastic material by using the finite element method. The formulations are applied under the Green and Lindsay model, with four thermal relaxation times. Due to the complex governing equation, the finite element method has been used to solve these problems. All physical quantities are presented as symmetric and asymmetric tensors. The effects of thermal relaxation times and porosity in a poro-thermoelastic medium are studied. Numerical computations for temperatures, displacements and stresses for the liquid and the solid are presented graphically.

Reflection characteristics of plane-S-wave at the free boundary of unsaturated porothermoelastic media

In the present work, the reflection of plane-S-wave at the free boundary of an unsaturated porothermoelastic medium is studied taking into consideration of the theory of porous media and the generalized thermoelasticity model. Based on the wave equations for an unsaturated porous medium considering thermo-fluid-solid coupling and the boundary conditions, the theoretical expressions of the reflection coefficient of five kinds of reflected waves at the free boundary of the unsaturated porothermoelastic medium, i.e., reflected P1 wave, reflected P2 wave, reflected P3 wave, reflected S wave and reflected thermal wave, are derived by using the classical Helmholtz potential function decomposition method. Then the numerical calculations are used to discuss the variation of the reflection coefficients of each reflected wave with the incident angle of plane-S-wave and the thermophysical parameters such as saturation, thermal expansion coefficient, thermal conductivity, medium temperature and phase-lag of heat flux and gradient of temperature. The results show that the reflection coefficient of each reflected wave is affected by not only the incident angle but also the saturation. The change of thermal expansion coefficient has a significant influence on the reflection coefficient of each reflected wave. The change of medium temperature only affects the reflection coefficient of the reflected P2 wave, reflected P3 wave and reflected thermal wave. The change of thermal conductivity, phase-lag of heat flux and phase-lag of gradient of temperature only has a large effect on the reflection coefficient of reflected thermal wave. These conclusions are helpful in the theoretical research and seismic exploration projects.

Thermo-hydro-mechanical dynamic response of a cylindrical lined tunnel in a poroelastic medium with fractional thermoelastic theory

This study deals with the coupled thermo-hydro-mechanical dynamic response of a cylindrical lined tunnel in a poroelastic medium when subjected to the joint action of a thermal and mechanical source. With the fractional-order thermoelasticity theory, the fully coupled thermo-hydro-mechanical dynamic model is presented based on the equations of motion, fluid flux, and fractional heat conductivity. The soil is regarded as a saturated porothermoelastic medium and solved by the generalized energy equation of porothermoelasticity with fractional derivative. Furthermore, the lining structure is equivalent to the elastic material by the theory of thermoelastic shell. The study derives the temperature increment, displacement, stresses, and pore water pressure by using the differential operator decomposition method and the Laplace transform method. The influences of the fractional derivative parameter on the responses are discussed and the numerical results compared with the results of the theory of saturated porous medium and the cavity without lining.

Propagation of thermoelastic waves in unsaturated porothermoelastic media

In the present work, the characteristics of bulk wave propagation in an unsaturated porothermoelastic medium are studied taking into consideration of the thermal effect. The wave equations of thermoelastic waves of the problem are established by the mass balance equations, generalized Darcy law, momentum balance equations and generalized non-Fourier heat conduction law of the three-phase medium composed of solid, liquid and gas in unsaturated soils. The dispersion equations of bulk waves in unsaturated porothermoelastic media are derived using the potential functions. Compressional, thermal and shear waves with various speeds are analyzed numerically. It can be found that the thermal expansion coefficient has great influence on the wave speeds of P1 wave and thermal wave. The thermal conductivity only affects the speed of the thermal wave. A rise in the internal temperature of the unsaturated porothermoelastic medium can cause an increase of the wave speeds of compressional, thermal and shear waves.

Disturbance Due to Thermomechanical Sources in Porothermoelastic Medium

A dynamic two-dimensional problem has been considered to investigate the disturbance due to mechanical and thermal sources in a homogeneous thermal conducting poroelastic medium. Laplace and Fourier transform technique is used to solve the problem. The application of the concentrated and distributed sources are taken to illustrate the utility of the approach. The transformed components of displacement, stress, pore pressure and temperature change are obtained and inverted numerically by using numerical inversion technique. The effect of porosity on the resulting quantities is presented graphically. Some special cases of interest are also deduced.