Accession Number:

ADA280971

Title:

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

Descriptive Note:

Corporate Author:

COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH

Personal Author(s):

• Nakano, Yoshisuke

Report Date:

1994-03-01

Pagination or Media Count:

25.0

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 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.

Descriptors:

• *ICE
• *FROZEN SOILS
• *FROST HEAVE
• *TRAVELING WAVES
• VELOCITY
• MODELS
• LAYERS
• ISOTHERMS
• HYDRAULICS
• PRESSURE
• MATHEMATICAL ANALYSIS
• SOILS
• TEMPERATURE GRADIENTS

Subject Categories:

• Soil Mechanics
• Snow, Ice and Permafrost

Distribution Statement:

APPROVED FOR PUBLIC RELEASE