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

Wen, Minjie; Wu, Wenbing; Li, Lichen; Tian, Yun; Naggar, M. Hesham El; Mei, Guoxiong; Zhang, Yunpeng; Hao, Ling

doi:10.1002/nag.3576

Cited by 6 publications

References 33 publications

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Interfacial flow contact resistance effect for thermal consolidation of layered viscoelastic saturated soils with semi‐permeable boundaries

Xie,

Wen,

Ding

et al. 2024

Num Anal Meth Geomechanics

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Laminar flow phenomena may occur when pore water flows at low velocities across the interfaces between soils of different properties, thus causing flow contact resistance. To explore the impacts of interfacial flow contact resistance and rheological characteristics on the thermal consolidation process of layered viscoelastic saturated soil foundation featuring semi‐permeable boundaries. This paper established a new thermal consolidation model by introducing a fractional order derivative model, Hagen–Poiseuille law and time‐dependent loadings. The semi‐analytical solutions for the proposed thermal consolidation model are derived through the Laplace transform and its inverse transform. The reliability and correctness of the solutions are verified with the experimental data in literatures. The influence of constitutive parameters, flow contact resistance model parameters on thermal consolidation process and the interfacial flow contact resistance on foundation settlement, is further explored. The results indicate that the impact of the constitutive parameters and permeability coefficient on the thermal consolidation of viscoelastic saturated soil is related to the flow contact resistance. The enhanced flow contact resistance effect leads to a significant increase in pore water pressure and displacement during the consolidation process.

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Interfacial flow contact resistance effect for thermal consolidation of layered viscoelastic saturated soils with semi‐permeable boundaries

Xie,

Wen,

Ding

et al. 2024

Num Anal Meth Geomechanics

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A Multi‐Zone Axisymmetric Model for Consolidation of Saturated Soils Improved by PVTD With Interfacial Thermal Resistance

Tang,

Wen,

Tian

et al. 2024

Num Anal Meth Geomechanics

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During the process of treating soft soil foundations with prefabricated drainage drains (PVD), “soil columns” form around the PVD, and a “weak zone” forms outside the range of the “soil columns.” The difference in properties between the two forms a distinct interface, leading to a gradual decrease in drainage efficiency and obstruction of vertical drainage channels, which in turn causes cracks and lateral displacement in the soil during consolidation. The interfaces between adjacent soil layers are incomplete contact, and the water within the interstices impedes the transfer of heat, manifesting a thermal resistance effect. To address this phenomenon, a synchronous measurement system for the thermal gradient and the heat flux density between the soil interfaces has been developed. Applying Fourier's law of heat conduction, the thermal resistance coefficient has been determined. Based on the theory of thermo‐hydro‐mechanical coupling, a multi‐zone axisymmetric model for saturated soils that considers thermal resistance effect has been proposed. Semi‐analytical solutions were derived and validated through comparison with the custom FEM model and field experiments. The thermal consolidation characteristics of the multi‐zone soils under various thermal contact models have also been discussed, with a comprehensive analysis of the influence of different parameters. Outcomes show that: the generalized incomplete thermal contact model provides a better description of the thermal resistance phenomenon between multi‐zone soils interfaces; ignoring the thermal resistance effect leads to an overestimation of the deformation during the thermal consolidation, and, the thermal resistance effect decreases the influence of the thermo‐osmosis effect on the consolidation characteristics.

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Torsional vibration of a pipe pile in unsaturated cross-anisotropic soil based on the fractional viscoelastic model

Ma,

Wang,

Wang

et al. 2024

Ocean Engineering

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

Cited by 6 publications

References 33 publications

Interfacial flow contact resistance effect for thermal consolidation of layered viscoelastic saturated soils with semi‐permeable boundaries

Interfacial flow contact resistance effect for thermal consolidation of layered viscoelastic saturated soils with semi‐permeable boundaries

A Multi‐Zone Axisymmetric Model for Consolidation of Saturated Soils Improved by PVTD With Interfacial Thermal Resistance

Torsional vibration of a pipe pile in unsaturated cross-anisotropic soil based on the fractional viscoelastic model

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