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Title: Traveling wave solutions to the problem of quasi-steady freezing of soils
Authors: Nakano, Yoshisuke.
Keywords: Frost heave
Frost heaving
Mathematical analysis
Mathematical models
Frozen soils
Frozen ground
Traveling wave
Publisher: Cold Regions Research and Engineering Laboratory (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: CRREL report ; 94-3.
Description: CRREL Report
Abstract: 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 αo and α1 used earlier, under given hydraulic conditions and overburden 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°C isotherm relative to the unfrozen part of the soil vanishes.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:CRREL Report

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