A Mathematical Thermal Hydraulic-Mechanical Coupling Model for Unsaturated Porous Media

Abstract:

s: Temperature, seepage and deformation are the important parts of the engineering geological mechanics both in water conservancy and hydropower engineering since there are highly nonlinear complex coupling effect between each other. In this paper, the earth and rock mass are classified as continuous porous media. The thermal constitutive relation of porous media and motion regularity of pore fluid are deduced from the basic theory of solid mechanics, hydraulics, and thermodynamics. Based on momentum, mass and energy conservation equations, the multi-field controlling equations of unsaturated porous media are given, in which the unknown variables include displacements, pore liquid pressure, pore gas pressure, temperature, and porosity.

• Periodical: Applied Mechanics and Materials (Volumes 602-605)
• Pages: 365-369
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.602-605.365
• Online since: August 2014
• Authors: Jun Yan*, Yin Qi Wei, Hong Cai
• Keywords: Mathematical Models, Multi-Field Coupling, Unsaturated Porous Media

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