Traveling Wave Solutions to the Problem of Quasi-Steady Freezing of Soils

• Main Author: Nakano, Yoshisuke
• Other Authors: COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH
• Format: Text
• Language: English
• Published: 1994
• Subjects: Soil Mechanics; Snow; Ice and Permafrost; *ICE; *FROZEN SOILS; *FROST HEAVE; *TRAVELING WAVES; VELOCITY; MODELS; LAYERS; ISOTHERMS; HYDRAULICS; PRESSURE; MATHEMATICAL ANALYSIS; SOILS; TEMPERATURE GRADIENTS; AST24; OVERBURDEN; PE61102A; WUF01; Ice; permafrost
• Online Access: http://www.dtic.mil/docs/citations/ADA280971; http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA280971

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.