Dynamic response of bilayered saturated porous media based on fractional thermoelastic theory

The fluctuation of temperature leads to the changes of physical‐mechanical properties of clayey soils. In some practical projects such as landfills, the compacted clay liner is usually subjected to a non‐isothermal distribution state. For one‐dimensional nonlinear consolidation process of saturated clay under non‐isothermal distribution condition, the general analytical solutions considering time‐dependent loading are derived for the first time, where the methods of algebraic transformation and separation variable are used. Moreover, two forms of boundary conditions are included according to engineering practice. Referring to the proposed general analytical solutions, the expressions for the analytical solutions under instantaneous loading pattern and single‐stage linear loading pattern are developed. Besides, the correctness of the presented analytical solutions is validated by comparing with the existing analytical solutions and finite difference solutions. Based on the proposed analytical solutions, the influence of temperature gradient, final loading and loading time on the consolidation behaviors is analyzed. It is found that the increase in temperature gradient accelerates the consolidation rate, and the average volume compressibility coefficient decreases by 65.4% when final loading increases from 50 to 500 kPa. In conclusion, the analytical solutions proposed in this study are more comprehensive and can be applied in different engineering cases.

“…The governing equation can be further derived by introducing Equation ( 16) into Equation (15), which leads to Equation (17):…”

Section: General Analytical Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

General analytical solutions for one‐dimensional nonlinear consolidation of saturated clay under non‐isothermal distribution condition

Jiang

et al. 2022

“…Xue et al 28 analysed the influence of thermal contact resistance on the thermoelastic diffusion responses of a one-dimensional bi-layered medium and concluded that the influence of thermal contact resistance was more obvious on the temperature, displacement and stress than on the concentration and chemical potential distribution. Wen et al 29 investigated the THM coupling dynamic response of a bi-layered saturated porous media based on the fractional thermoelastic theory. The analytical solutions indicated that the effects of fractional derivative parameters were largely dependent on the thermal contact resistance at the interface.…”

Section: Introductionmentioning

confidence: 99%

Fractional derivative modelling for rheological characteristics of multilayered saturated porous rock with interfacial thermal contact resistance

Wen

et al. 2023

In this paper, the one‐dimensional rheological characteristics of multilayered saturated porous rock subjected to a ramp‐type heating is investigated. By introducing the fractional order parameter and material parameters, a viscoelastic constitutive model is proposed to describe the rheological characteristics of multilayered saturated porous rock. The general incomplete thermal contact model is established to predict the interfacial thermal contact resistance of multilayered saturated porous rock. Based on the coupled thermo‐hydro‐mechanical theory, the semi‐analytical solutions of the excess pore water pressure, temperature increment and displacement are obtained by using the Laplace transform method. The accuracy of the present solutions is verified by comparing with the classic elastic and viscoelastic models, and existing solutions. In addition, the influence of fractional order parameter, material parameter ratio, thermal contact transfer coefficient and thermal partition coefficient on the excess pore water pressure, temperature increment and displacement of multilayered saturated porous rock are investigated.

“…It was found that the increase of contact thermal resistance would inhibit the thermal wave reflection, which further led to the increasing thermal gradient at the interface. Considering the complexity of heat transfer phenomena, Wen et al 48 further introduced the fractional thermoelastic theory into the thermodynamic behavior of porous media with imperfect thermal and mechanical contact, with a special focus on the fractional derivative parameters. Based on the above introduction, it can be seen that studies on the contact thermal resistance of layered saturated porous medium under coupled THM load are still rarely reported.…”

Section: Introductionmentioning

confidence: 99%

A general interfacial thermal contact model for consolidation of bilayered saturated soils considering thermo‐osmosis effect

Wen

Tian

et al. 2022

Self Cite

In this paper, a general interfacial thermal contact model is proposed to investigate the heat conduction characteristics at the interface of bilayered saturated soils. The semianalytical solutions of thermal consolidation of the bilayered saturated soils considering thermo-osmosis effect under ramp-type heating are derived by using the Laplace transform. Then, the expressions of the temperature increment, excess pore water pressure, and displacement are obtained in time domain by using the Crump's method. Comparisons are performed to verify the rationality of the obtained solutions, and the influences of contact transfer coefficient, partition coefficient, and the thermo-osmosis coefficient on the thermal consolidation of the bilayered saturated soil are illustrated and discussed. Neglecting the thermal contact resistance would overestimate the thermal consolidation behavior of the bilayered saturated soils. The calculated excess pore water pressure and displacement considering thermo-osmosis effect are much larger than those without thermo-osmosis effect.