Abstract: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. Com… Show more
“…To verify the correctness of the computational results, if the complete flow contact model is adopted and the physical parameters of two layers are the same, while the loading acting on the soil surface is set to zero, the solution in this paper can be degraded to the thermal consolidation solution proposed by Zhou et al 30 Furthermore, Wen et al 22 considered the thermal contact resistance effect of the interface and studied the thermal consolidation of a bilayered saturated soil foundation. By using the complete thermal contact model, the physical parameters of the two layers of saturated foundation soil were set to be the same, and the loading acting on the soil surface was set to zero.…”
“…In chapter 2.1, a flow contact resistance model was established based on the Hagen-Poiseuille law, which resulted in the construction of four different contact conditions at the interface. Case 1: Complete flow contact model [21][22] 𝑝 (𝐽) (𝑥, 𝑡)| 𝑥=…”
Section: Boundary Conditionsmentioning
confidence: 99%
“…Moreover, thermal consolidation of saturated soil, [18][19][20] a widely researched aspect in geotechnical engineering, remains an area that necessitates further investigation. Saturated soil foundations, characterized by natural layering, [21][22][23] exhibit uneven interfaces between two layers containing small, water-filled gaps. The slow seepage velocity of pore water through these interface gaps is attributed to factors such as low porosity, small particle size, and curved fluid channels, which ultimately lead to laminar flow at the interface.…”
mentioning
confidence: 99%
“…In their analysis, they also considered the effect of thermal contact resistance. Furthermore, Wen et al 22,47 developed a comprehensive interfacial thermal contact model to investigate the influence of the thermal contact resistance coefficient on the dynamic response of a double-layered saturated soil foundation. It is important to note that the flow of pore water in the void channels at the interface of the bilayered saturated soil foundation is impeded due to factors such as low porosity, bending of fluid channels, and the viscosity of pore water.…”
Due to the presence of tiny gaps at the interface of two layers of saturated soil, water seepage occurs at a slower rate within these gaps, resulting in laminar flow at the interface. Based on the Hagen‐Poiseuille law, a general imperfect flow contact model was established for layered saturated soil interfaces by introducing the flow contact transfer coefficient Rω and the flow partition coefficient ηω. The investigation focused on the thermal consolidation behavior of layered saturated soil foundations under variable loadings considering the flow contact resistance effect at the interface. By employing the Laplace transform and its inverse transform, a semi‐analytical solution for the thermal consolidation of layered saturated soil foundations was derived. In the context of a two‐layer soil system, the effects of Rω, ηω, and permeability coefficient k on the consolidation process were examined. The obtained results were then compared with three other interfacial contact models, thereby confirming the rationality of the presented model. The study findings revealed that the flow contact resistance effect leads to a clear jump in the pore water pressure. Furthermore, an increase in Rω and a decrease in ηω were found to significantly enhance displacement and pore water pressure, while having minimal impact on the temperature increment. These insights contribute to a more comprehensive understanding of the thermal consolidation behavior of layered saturated soil foundations and underscore the significance of accounting for the flow contact resistance effect in such analyses.
“…To verify the correctness of the computational results, if the complete flow contact model is adopted and the physical parameters of two layers are the same, while the loading acting on the soil surface is set to zero, the solution in this paper can be degraded to the thermal consolidation solution proposed by Zhou et al 30 Furthermore, Wen et al 22 considered the thermal contact resistance effect of the interface and studied the thermal consolidation of a bilayered saturated soil foundation. By using the complete thermal contact model, the physical parameters of the two layers of saturated foundation soil were set to be the same, and the loading acting on the soil surface was set to zero.…”
“…In chapter 2.1, a flow contact resistance model was established based on the Hagen-Poiseuille law, which resulted in the construction of four different contact conditions at the interface. Case 1: Complete flow contact model [21][22] 𝑝 (𝐽) (𝑥, 𝑡)| 𝑥=…”
Section: Boundary Conditionsmentioning
confidence: 99%
“…Moreover, thermal consolidation of saturated soil, [18][19][20] a widely researched aspect in geotechnical engineering, remains an area that necessitates further investigation. Saturated soil foundations, characterized by natural layering, [21][22][23] exhibit uneven interfaces between two layers containing small, water-filled gaps. The slow seepage velocity of pore water through these interface gaps is attributed to factors such as low porosity, small particle size, and curved fluid channels, which ultimately lead to laminar flow at the interface.…”
mentioning
confidence: 99%
“…In their analysis, they also considered the effect of thermal contact resistance. Furthermore, Wen et al 22,47 developed a comprehensive interfacial thermal contact model to investigate the influence of the thermal contact resistance coefficient on the dynamic response of a double-layered saturated soil foundation. It is important to note that the flow of pore water in the void channels at the interface of the bilayered saturated soil foundation is impeded due to factors such as low porosity, bending of fluid channels, and the viscosity of pore water.…”
Due to the presence of tiny gaps at the interface of two layers of saturated soil, water seepage occurs at a slower rate within these gaps, resulting in laminar flow at the interface. Based on the Hagen‐Poiseuille law, a general imperfect flow contact model was established for layered saturated soil interfaces by introducing the flow contact transfer coefficient Rω and the flow partition coefficient ηω. The investigation focused on the thermal consolidation behavior of layered saturated soil foundations under variable loadings considering the flow contact resistance effect at the interface. By employing the Laplace transform and its inverse transform, a semi‐analytical solution for the thermal consolidation of layered saturated soil foundations was derived. In the context of a two‐layer soil system, the effects of Rω, ηω, and permeability coefficient k on the consolidation process were examined. The obtained results were then compared with three other interfacial contact models, thereby confirming the rationality of the presented model. The study findings revealed that the flow contact resistance effect leads to a clear jump in the pore water pressure. Furthermore, an increase in Rω and a decrease in ηω were found to significantly enhance displacement and pore water pressure, while having minimal impact on the temperature increment. These insights contribute to a more comprehensive understanding of the thermal consolidation behavior of layered saturated soil foundations and underscore the significance of accounting for the flow contact resistance effect in such analyses.
“…[22][23][24] The former usually introduces the elementary creep elements or their combinations into the consolidation theory to describe the stress-strain relationship of soft soils. For instance, works of literature 25,26 have investigated the thermal consolidation characteristics of saturated porous media based on the linear stress-strain relationship and further revealed the coupling 1D thermal consolidation behavior. Recently, some scholars have proposed the element creep model modified by fractional derivative into consolidation 21 and pointed out that the modified model can achieve a good fitting effect with fewer model parameters.…”
To further investigate the nonlinear creep properties of soft soils and the effect of variable loading, a one-dimensional (1D) nonlinear creep consolidation system of soft soils under construction load is established, including time-dependent drainage (TDD) boundary, elastic-viscous-plastic deformation, non-Darcy flow (NDF), and self-weight stress. The consolidation problem is presented by virtue of the finite volume method, and the associated calculation program is compiled. The efficiency of the numerical solutions is validated by comparing the degenerated solution against analytical, semi-analytical, and numerical solutions. Then the influences of construction load and nonlinear creep model parameters on consolidation are studied. The results show that TDD boundary and construction load significantly affect consolidation, and the larger the loading rate and interface parameter, the faster soil's overall dissipation process of excess porewater pressure (EPP). Meanwhile, at the earlier consolidation stage, considering the secondary consolidation effect will cause an increase in excess pore-water pressure (EPP). Prolonging the construction period, decreasing the interface parameter, considering the self-weight stress, or increasing the non-Newtonian index will all aggravate this phenomenon. Additionally, the TDD boundary, construction load, and non-Newtonian index flow (NNIF) are not a determinant for final soil settlement.
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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