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Equations of frost propagation in unsaturated porous media
Abstract The equations of soil freezing are established where the soil is partially water-saturated, i.e., when it contains air. We choose a macroscopic viewpoint, using leveled parameters (averages on a “small” volume surrounding the considered point). We assume that water can exist at a temperature below 0°C. Mechanical energy (kinetic energy and power of inner forces) is neglected with respect to thermal energy; radiation is also neglected. The establishment of the equations is based upon the expression (1) of the mass and energy conservation laws; and (2) of constitutive laws such as Fourier's law, Darcy's law, the curve of capillary pressure in terms of the saturation degree, etc. We obtain a system of nonlinear partial differential equations with a free surface; the unknowns are the temperature, the saturation degree and the water pressure at each point and at each time; these unknowns are coupled in the differential equations.
Equations of frost propagation in unsaturated porous media
Abstract The equations of soil freezing are established where the soil is partially water-saturated, i.e., when it contains air. We choose a macroscopic viewpoint, using leveled parameters (averages on a “small” volume surrounding the considered point). We assume that water can exist at a temperature below 0°C. Mechanical energy (kinetic energy and power of inner forces) is neglected with respect to thermal energy; radiation is also neglected. The establishment of the equations is based upon the expression (1) of the mass and energy conservation laws; and (2) of constitutive laws such as Fourier's law, Darcy's law, the curve of capillary pressure in terms of the saturation degree, etc. We obtain a system of nonlinear partial differential equations with a free surface; the unknowns are the temperature, the saturation degree and the water pressure at each point and at each time; these unknowns are coupled in the differential equations.
Equations of frost propagation in unsaturated porous media
Menot, J.M. (author)
Engineering Geology ; 13 ; 101-109
1978-06-15
9 pages
Article (Journal)
Electronic Resource
English
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