INVESTIGATIONS ON STRESS-DEPENDENT THERMAL CONDUCTIVITY OF FRACTURED ROCK BY FRACTAL THEORY

Tongjun Miao, Aimin Chen, Xiaoya Yang, Zun Li, Hao Liu and Boming Yu
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Tongjun Miao: School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China
Aimin Chen: ��School of Chemistry and Material Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China
Xiaoya Yang: School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China
Zun Li: School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China
Hao Liu: School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China
Boming Yu: ��Vebleo Fellow, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 05, 1-11

Abstract: Stress field is a key external factor affecting the thermodynamic properties of rock in many scientific and engineering fields ranging from geoscience to practical problems in geothermal resources, oil and gas exploitation, mineral exploitation, etc. In this work, the stress-dependent models for the effective thermal conductivity of fractured rock are proposed by combining the fractal geometry theory and the two-part Hooke’s model. The proposed model for the effective thermal conductivity is a function of the effective stress and structure-parameters and physical parameters of fractured rock, such as porosity (ϕσ), fracture orientations (𠜃 and φ) as well as ks and kf. The results show that thermal conductivity increases nonlinearly with increasing stress at low stress range due to the closure of fractures, then, it exhibits an almost linear behavior of pressure dependence at high stress range for most fractures closing completely. The proposed thermal conductivity model coupled with stress is evaluated by comparison with the available experimental data. The model predictions show a good agreement with the available experimental data. A more detailed investigation of the essential influence of structures parameters of a set of fractures on the dimensionless stress-dependent thermal conductivity is performed. The proposed model may provide a good quantitative understanding of the stress effect on thermal conductivity of fractured rock.

Keywords: Thermal Conductivity; Fractal; Stress; Fractured Rock (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23500615

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