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Traveling Wave Solutions to the Problem of Quasi-Steady Freezing of Soils
COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH
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The results of mathematical and experimental studies presented in preceding reports clearly show that the model M1 accurately describes the properties of a frozen fringe when the steady growth of an ice layer occurs. In this work the steady growth of ice-rich frozen soil is studied by using M1. Deriving a traveling wave solution to the problem, we have found that the condition of steady growth of ice-rich frozen soil is uniquely determined by a set of two physical variables, such as alpha sub 0 and alpha sub 1 used earlier, under given hydraulic conditions and over-burden pressures and that the traveling wave solution converges to the solution to the problem of a steadily growing ice layer when the velocity of the 0 deg C isotherm relative to the unfrozen part of the soil vanishes. Frost heave, Mathematical analysis, Frozen soil, Traveling wave solutions.
APPROVED FOR PUBLIC RELEASE