Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-26T17:50:58.346Z Has data issue: false hasContentIssue false

Microscopic and environmental controls on the spacing and thickness of segregated ice lenses

Published online by Cambridge University Press:  20 January 2017

Alan W. Rempel*
Affiliation:
Department of Geological Sciences, University of Oregon, Eugene, OR 97403-1272
*
E-mail address:rempel@uoregon.edu

Abstract

The formation of segregated ice is of fundamental importance to a broad range of permafrost and periglacial features and phenomena. Models have been developed to account for the microscopic interactions that drive water migration, and predict key macroscopic characteristics of ice lenses, such as their spacings and thicknesses. For a given set of sediment properties, the temperature difference between the growing and incipient lenses is shown here to depend primarily on the ratio between the effective stress and the temperature deviation from bulk melting at the farthest extent of pore ice. This suggests that observed spacing between ice lenses in frozen soils, or traces of lenses in soils that once contained segregated ice, might be used to constrain the combinations of effective stress and temperature gradient that were present near the time and location at which the lower lens in each pair was initiated. The thickness of each lens has the potential to contain even more information since it depends additionally on the rate of temperature change and the permeability of the sediment at the onset of freezing. However, these complicating factors make it more difficult to interpret thickness data in terms of current or former soil conditions.

Type
Research Article
Copyright
University of Washington. Elsevier Inc.

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Andersland, O.B., and Ladanyi, B. An Introduction to Frozen Ground Engineering. (2004). Chapman and Hall, New York.Google Scholar
Benatov, L., and Wettlaufer, J.S. Abrupt grain boundary melting in ice. Physical Review. E: Statistical, Nonlinear, and Soft Matter Physics 70, (2004). 061606 CrossRefGoogle ScholarPubMed
Beskow, G., (1935). Soil Freezing and Frost Heaving with Special Application to Roads and Railroads. The Swedish Geological Society, C, no 375, Year Book no. 3 (translated by J. Osterberg). Technological Institute, Northwestern University, . Reprinted in: Historical perspectives in Frost Heave Research (ed. Black, P. B. & Hardenberg, M. J.). CRREL Special Report 91-23, pp. 37157.Google Scholar
Cahn, J.W., Dash, J.G., and Fu, H.-Y. Theory of ice premelting in monosized powders. Journal of Crystal Growth 123, (1992). 101108.CrossRefGoogle Scholar
Christoffersen, P., and Tulaczyk, S. Response of subglacial sediments to basal freeze-on: 1. Theory and comparison to observations from beneath the West Antarctic Ice Sheet. Journal of Geophysical Research 108, B4 (2003). 2222 doi:http://dx.doi.org/10.1029/2002JB001935CrossRefGoogle Scholar
Dash, J.G., Rempel, A.W., and Wettlaufer, J.S. The physics of premelted ice and its geophysical consequences. Reviews of Modern Physics 78, (2006). 695741.CrossRefGoogle Scholar
Fowler, A.C. Secondary frost heave in freezing soils. SIAM Journal on Applied Mathematics 49, (1989). 9911008.CrossRefGoogle Scholar
Fowler, A.C., and Krantz, W.B. A generalized secondary frost heave model. SIAM Journal on Applied Mathematics 54, (1994). 16501675.CrossRefGoogle Scholar
Hallet, B., Walder, J.S., and Stubbs, C.W. Weathering by segregation ice growth in microcracks at sustained sub-zero temperatures: verification from an experimental study using acoustic emissions. Permafrost and Periglacial Processes 2, (1991). 283300.CrossRefGoogle Scholar
Hansen-Goos, H., and Wettlaufer, J.S. Theory of ice premelting in porous media. Physical Review. E: Statistical, Nonlinear, and Soft Matter Physics 81, (2010). 031604 CrossRefGoogle ScholarPubMed
Henry, K.S. A Review of the Thermodynamics of Frost Heave. CRREL Technical Report 00--16. (2000). 119.Google Scholar
Matsuoka, N. Direct observation of frost wedging in alpine bedrock. Earth Surface Processes and Landforms 26, (2001). 601614.CrossRefGoogle Scholar
Matsuoka, N., and Murton, J. Frost weathering: recent advances and future directions. Permafrost and Periglacial Processes 19, (2008). 195210.CrossRefGoogle Scholar
Murton, J.B., Peterson, R., and Ozouf, J.-C. Bedrock fracture by ice segregation in cold regions. Science 314, (2006). 11271129.CrossRefGoogle ScholarPubMed
O'Neill, K., and Miller, R.D. Exploration of a rigid ice model of frost heave. Water Resources Research 21, (1985). 281296.CrossRefGoogle Scholar
Penner, E. Ice lensing in layered soils. Canadian Geotechnical Journal 23, (1986). 334340.CrossRefGoogle Scholar
Peppin, S.S.L., Elliott, J.A.W., and Worster, M.G. Solidification of colloidal suspensions. Journal of Fluid Mechanics 554, (2006). 147166.CrossRefGoogle Scholar
Peppin, S.S.L., Worster, M.G., and Wettlaufer, J.S. Morphological instability in freezing colloidal suspensions. Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 463, (2007). 723733.Google Scholar
Peppin, S.S.L., Wettlaufer, J.S., and Worster, M.G. Experimental verification of morphological instability in freezing aqueous colloidal suspensions. Physical Review Letters 100, (2008). 238301 CrossRefGoogle ScholarPubMed
Rempel, A.W. The formation of ice lenses and frost heave. Journal of Geophysical Research 112, (2007). F020S21 http://dx.doi.org/10.1029/2006JF000525CrossRefGoogle Scholar
Rempel, A.W. A theory for ice–till interactions and sediment entrainment beneath glaciers. Journal of Geophysical Research 113, (2008). F01013 http://dx.doi.org/10.1029/2007JF000870CrossRefGoogle Scholar
Rempel, A.W., Wettlaufer, J.S., and Worster, M.G. Interfacial premelting and the thermomolecular force: thermodynamic buoyancy. Physical Review Letters 87, (2001). 088501 CrossRefGoogle ScholarPubMed
Rempel, A.W., Wettlaufer, J.S., and Worster, M.G. Premelting dynamics in a continuum model of frost heave. Journal of Fluid Mechanics 498, (2004). 227244.CrossRefGoogle Scholar
Rempel, A.W., Wettlaufer, J.S., and Worster, M.G. Comment on “A quantitative framework for interpretation of basal ice facies formed by ice accretion over subglacial sediment” by Poul Christoffersen et al. Journal of Geophysical Research 112, (2007). F02036 http://dx.doi.org/10.1029/2006JF000701CrossRefGoogle Scholar
Taber, S. Frost heaving. Journal of Geology 37, (1929). 428461.CrossRefGoogle Scholar
Taber, S. The mechanics of frost heaving. Journal of Geology 38, (1930). 303317.CrossRefGoogle Scholar
Walder, J., and Hallet, B. A theoretical model of the fracture of rock during freezing. Geological Society of America Bulletin 96, (1985). 336346.2.0.CO;2>CrossRefGoogle Scholar
Washburn, A.L. Permafrost features as evidence of climatic-change. Earth Science Review 15, (1980). 327402.CrossRefGoogle Scholar
Wettlaufer, J.S., Worster, M.G., Wilen, L.A., and Dash, J.G. A theory of premelting dynamics for all power law forces. Physical Review Letters 76, (1996). 36023605.CrossRefGoogle ScholarPubMed
Wilen, L.A., and Dash, J.G. Frost heave dynamics at a single-crystal interface. Physical Review Letters 74, (1995). 50765079.CrossRefGoogle Scholar
Worster, M.G., and Wettlaufer, J.S. Premelting dynamics. Annual Review of Fluid Mechanics 38, (2006). 427452.Google Scholar