Location of Repository

A mathematical model of differential frost heave

By A. C. Fowler

Abstract

ABSTRACT: The O’Neill-Miller model of frost heave, which takes account of a partially frozen fringe between the frozen and unfrozen soil, is used to study the mechanism of differential frost heave, which is a possible cause of earth hummocks and stone circles. In order to facilitate this study, the model must firstly be generalised to three dimensions, which requires a modification, due to Gilpin, of Miller’s concept of regelation; secondly, four key simplifications, variously introduced in previous work by Holden, Fowler and Krantz, must be made to render the computation of the model tractable. With these simplifications, and with the assumption that frozen soil deforms viscously, the model can be reduced to a coupled set of partial differential equations for the frozen soil temperature and velocity. A quasi-stationary stability analysis of the uniform heaving state is conducted on a simplified version of this reduced model to examine whether spatial instabilities can occur in physically realistic conditions. I give an explicit parametric criterion for the occurrence of differential frost heave.

Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.190.6506
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.maths.ox.ac.uk/%7Ef... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.