Coupling dynamic response of saturated soil with anisotropic thermal conductivity under fractional order thermoelastic theory

Ying Guo; Chunbao Xiong; Wen Yu; Jie Li; Jianjun Ma; Cui Du

doi:10.1371/journal.pone.0297651

Coupling dynamic response of saturated soil with anisotropic thermal conductivity under fractional order thermoelastic theory

PLoS One. 2024 Apr 17;19(4):e0297651. doi: 10.1371/journal.pone.0297651. eCollection 2024.

Authors

Ying Guo^{1

2

3}, Chunbao Xiong⁴, Wen Yu⁵, Jie Li⁶, Jianjun Ma¹, Cui Du^{1

7}

Affiliations

¹ School of Civil Engineering, Henan University of Science and Technology, Luoyang, Henan, P.R. China.
² School of Mechanical and Electrical Engineering, Henan University of Science and Technology, Luoyang, Henan, P.R. China.
³ State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, P.R. China.
⁴ School of Civil Engineering, Tianjin University, Tianjin, P.R. China.
⁵ School of Civil Engineering, Hebei University of Architecture, Zhangjiakou, Hebei, P.R. China.
⁶ No.4 Gas Production Plant, Changqing Oilfield Company, PetroChina, Xian, Shanxi, P.R. China.
⁷ School of Software Engineering, Chengdu University of Information Technology, Chengdu, Sichuan, P.R. China.

Abstract

In this paper, a two-dimensional (2D) thermo-hydro-mechanical dynamic (THMD) coupling analysis in the presence of a half-space medium is studied using Ezzat's fractional order generalized theory of thermoelasticity. Using normal mode analysis (NMA), the influence of the anisotropy of the thermal conduction coefficient, fractional derivatives, and frequency on the THMD response of anisotropy, fully saturated, and poroelastic subgrade is then analyzed with a time-harmonic load including mechanical load and thermal source subjected to the surface. The general relationships among the dimensionless physical variables such as the vertical displacement, excess pore water pressure, vertical stress, and temperature distribution are graphically illustrated. The NMA method does not require the integration and inverse transformation, increases the decoupling speed, and eliminates the limitation of numerical inverse transformation. The obtained results can guide the geotechnical engineering construction according to different values of load frequency, fractional order coefficient, and anisotropy of thermal conduction coefficient. This improves the subgrade stability and enriches the theoretical studies on thermo-hydro-mechanical coupling.

Copyright: © 2024 Guo et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

MeSH terms

Anisotropy
Models, Theoretical*
Soil*
Temperature
Thermal Conductivity

Substances

Soil

Grants and funding

This work was supported in part by Natural Science Foundation of Henan Province (222300420153), Natural Science Foundation of Tianjin (S22YBJ1114), State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University (HESS-2324), 2022 Heluo Young Talent Lifting Project (2022HLTJZC10), Scientific and Technological Project in Henan Province (212102310055), and Key Scientific Research Project of Henan Province (22A130004). The sponsor of Natural Science Foundation of Henan Province (222300420153), State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University (HESS-2324), 2022 Heluo Young Talent Lifting Project (2022HLTJZC10), and Key Scientific Research Project of Henan Province (22A130004) is Ying Guo, who plays the roles of Conceptualization, Methodology, Supervision, Writing-original draft and Writing-review and editing in this paper. The sponsor of Natural Science Foundation of Tianjin (S22YBJ1114) is Chunbao Xiong, who plays the roles of Project administration and Supervision in this paper. Wen Yu without funding, she plays the role of Methodology and Validation in this paper. Jie Li without funding, she plays the role of Data curation in this paper. Jianjun Ma without funding, she plays the role of Project administration, and Writing-review and editing in this paper. The sponsor of Scientific and Technological Project in Henan Province (212102310055) is Cui Du, who plays the roles of Investigation and Visualization in this paper.