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

Author:

Wen Minjie12,Wu Wenbing23ORCID,Li Lichen2ORCID,Tian Yi24,El Naggar M. Hesham23,Mei Guoxiong25,Zhang Yunpeng23,Liu Hao2ORCID

Affiliation:

1. School of Civil Engineering and Architecture Zhejiang Sci‐Tech University Hangzhou Zhejiang China

2. Faculty of Engineering Engineering Research Centre of Rock‐Soil Drilling & Excavation and Protection Ministry of Education China University of Geosciences Wuhan Hubei China

3. Geotechnical Research Centre Department of Civil and Environmental Engineering Western University London Ontario Canada

4. Faculty of Civil Engineering and Mechanics Kunming University of Science and Technology Kunming Yunnan China

5. Ocean College Zhejiang University Zhoushan Zhejiang China

Abstract

AbstractIn 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.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Zhejiang Province

Publisher

Wiley

Subject

Mechanics of Materials,Geotechnical Engineering and Engineering Geology,General Materials Science,Computational Mechanics

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