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Assessing the role of differential frost heave in the origin of non-sorted circles

Published online by Cambridge University Press:  20 January 2017

Rorik A. Peterson
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Abstract

A. L. Washburn famously proposed and reviewed 19 hypotheses for the origin of patterned ground in periglacial environments over 50 years ago (Washburn, 1956). Of these 19 mechanisms, only a few have been analyzed starting from a fundamental description of the physics to assess their potential contribution to the initiation of patterned ground. Here, differential frost heave (DFH) is investigated as the origin of non-sorted circles in periglacial landscapes. Model results indicating that DFH can spontaneously lead to patterned ground are compared to measurements of patterned ground in the Canadian Arctic Archipelago. The characteristic size of the predicted emerging pattern depends strongly on the maximum depth of freezing but is only weakly dependent on the soil composition. The predicted emerging patterns may also be dramatically different in size with a small change in active layer when a relatively thin (~ 10 cm) insulating snow covers the ground during freezing. The model predicted trends agree with field observations of pattern size and active layer depth at two distinct sites. Although two data points cannot conclusively indicate a trend, this correlation gives support for the possibility of determining some subsurface properties using remote sensing images of surface patterned ground.

Keywords

Patterned groundDifferential frost heave
Type
Research Article
Information
Quaternary Research , Volume 75 , Issue 2 , March 2011 , pp. 325 - 333
Copyright
University of Washington

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References

Ball, P. The Self-Made Tapestry: Pattern Formation in Nature. (1999). Oxford University Press, USA. 312 ppGoogle Scholar
Boike, J., Ippisch, O., Overduin, P.P., Hagedorn, B., and Roth, K. Water, heat and solute dynamics of a mud boil. Spitsbergen, Geomorphology 95, (2008). 61–73. doi:http://dx.doi.org/10.1016/j.geomorph.2006.07.033CrossRefGoogle Scholar
Corte, A. E., (1972). Growth and development of perturbations on the soil surface due to the repetition of freezing and thawing. Bulletin – Centre de Géomorphologie no. 13-14-15.Google Scholar
Daanen, R.P., Misra, D., Epstein, H., Walker, D., and Romanovsky, V. Simulating nonsorted circle development in arctic tundra ecosystems. Journal of Geophysical Research 113, (2008). G03S06 http://dx.doi.org/10.1029/2008JG000682Google 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). 695–741. http://dx.doi.org/10.1103/RevModPhys.78.695Google Scholar
Drazin, P.G., and Reid, W.H. Hydrodynamic Stability. (1981). Cambridge University Press, New York.Google Scholar
Fowler, A mathematical model of differential frost heave.. Philips, M., Springman, S.M., Arensen, L. Permafrost: Proceedings of the 8th International Conference on Permafrost 1, (2003). 249–252.Google Scholar
Fowler, A.C., and Krantz, W.B. A generalized secondary frost heave model. SIAM Journal on Applied Mathematics 54, (1994). 1650–1675. http://dx.doi.org/10.1137/S0036139993252554Google Scholar
Gilpin, R.R. A model for the prediction of ice lensing and frost heave in soils. Water Resources Research 15, (1980). 918–930.Google Scholar
Hinzman, L., Kane, D., Gleck, R., and Everett, K. Hydrological and thermal properties of the active layer in the Alaskan Arctic. Cold Regions Science and Technology 19, (1991). 95–110.Google Scholar
Horwath, J.L., Sletten, R.S., Hagedorn, B., and Hallet, B. Spatial and temporal distribution of soil organic carbon in nonsorted stripe patterned ground of the High Arctic. Journal of Geophysical Research (2008). G03S07 http://dx.doi.org/10.1029/2007JG000511Google Scholar
Konrad, J.-M. Estimation of the segregation potential of fine-grained soil using frost heave response of two reference soils. Canadian Geotechnical Journal 42, (2005). 38–50. http://dx.doi.org/10.1139/T04-080Google Scholar
Konrad, J.-M., and Morgenstern, N.R. The segregation potential of a freezing soil. Canadian Geotechnical Journal 18, (1981). 482–491.CrossRefGoogle Scholar
Kozlowski, T. Soil freezing point as obtained on melting. Cold Regions Science and Technology 38, (2004). 93–101.CrossRefGoogle Scholar
Krantz, W.B., and Adams, K.E. Application of a fully predictive model for secondary frost heave. Arctic and Alpine Research 28, (1996). 284–293.Google Scholar
Lachenbruch, A.J. Depth and spacing of tension cracks. Journal of Geophysical Research 66, (1961). 4273–4292. http://dx.doi.org/10.1029/JZ066i012p04273Google Scholar
Levy, J.S., Head, J.W., Marchant, D.R., and Kowalewski, D.W. Identification of sublimation-type thermal contraction crack polygons at the proposed NASA Phoenix landing site: Implications for substrate properties and climate-driven morphological evolution. Geophysical Research Letters 35, (2008). L04202 http://dx.doi.org/10.1029/2007GL032813Google Scholar
Mackay, J.R. The origin of hummocks, western Arctic coast, Canada. Canadian Journal of Earth Sciences 17, (1980). 996–1006.Google Scholar
Mann, D.H. On patterned ground. Science 299, (2003). 354–355. http://dx.doi.org/10.1126/science.1080301Google Scholar
Michaelson, G.J., Ping, C.L., Epstein, H., Kimble, J.M., and Walker, D.A. Soils and frost boil ecosystems across the North American Arctic Transect. Journal of Geophysical Research 113, (2008). G03S11 http://dx.doi.org/10.1029/2007JG000672Google Scholar
Murray, J.D. Mathematical Biology. (1989). Springer-Verlag, Berlin.Google Scholar
Murton, J.B., Peterson, R., and Ozouf, J.-C. Bedrock fracture by ice segregation in cold regions. Science 314, (2006). 1127–1129. http://dx.doi.org/10.1126/science.1132127Google Scholar
Nicolsky, D.J., Romanovsky, V.E., Tipenko, G.S., and Walker, D.A. Modeling biogeophysical interactions in nonsorted circles in the Low Arctic. Journal of Geophysical Research 113, (2008). G03S05 http://dx.doi.org/10.1029/2007JG000565Google Scholar
O'Neill, K., and Miller, R.D. Exploration of a rigid ice model of frost heave. Water Resources Research 21, (1985). 281–296.Google Scholar
Peterson, R.A. Stability analysis and numerical simulation of differential frost heave. Mathematical Geosciences 40, (2008). 277–298. http://dx.doi.org/10.1007/s11004-008-9150-zCrossRefGoogle Scholar
Peterson, R.A., and Krantz, W.B. A mechanism for differential frost heave and its implications for patterned-ground formation. Journal of Glaciology 49, (2003). 69–80.Google Scholar
Peterson, R.A., and Krantz, W.B. Differential frost heave model for patterned ground formation: corroboration with observations along a North American arctic transect. Journal of Geophysical Research 113, (2008). G03S04 http://dx.doi.org/10.1029/2007JG000559Google Scholar
Ping, C.L., Michaelson, G.L., Jorgenson, M.T., Kimple, J.M., Epstein, H., Romanovsky, V.E., and Walker, D.A. High stocks of soil organic carbon in the North American Arctic region. Nature Geoscience (2008). http://dx.doi.org/10.1038/ngeo284Google Scholar
Rayleigh, L. Investigation of the character of the equilibrium of an incompressible heavy fluid at variable density. Proceedings London Mathematics Society 14, (1883). 170–177.Google Scholar
Rempel, A.W. The formation of ice lenses and frost heave. Journal of Geophysical Research 112, (2007). F02S21 http://dx.doi.org/10.1029/2006JF000525CrossRefGoogle Scholar
Romanovsky, V.E., and Osterkamp, T.E. Effects of unfrozen water on heat and mass transport in the active layer and permafrost. Permafrost and Periglacial Processes 11, (2000). 219–239.Google Scholar
Romanovsky, V.E., Marchenko, S.S., and Daanen, R. Soil climate and frost heave along the permafrost/ecological North American Arctic Transect. Kane, D.L., and Hinkel, K.M. Ninth International Conference on Permafrost. (2008). Institute of Northern Engineering, Fairbanks. 1519–1524.Google Scholar
Shur, Y., Hinkel, K.M., and Nelson, F.E. The transient layer: implications for geocryology and climate-change science. Permafrost and Periglacial Processes 16, (2005). 5–17. http://dx.doi.org/10.1002/ppp. 518Google Scholar
Soare, R.J., Osinski, G.R., and Roehm, C.L. Thermokarst lakes and ponds on Mars in the very recent (late Amazonian) past. Earth and Planetary Science Letters 272, (2008). 382–393. http://dx.doi.org/10.1016/j.epsl.2008.05.010Google Scholar
Van Vliet-Lanoë, B. Differential frost heave, load casting and convection: converging mechanism; a discussion of the origin of cryoturbations. Permafrost and Periglacial Processes 2, (1991). 123–139.Google Scholar
Walker, D.A., Epstein, H.E., Romanovsky, V.E., Ping, C.L., Michaelson, G.J., Daanen, R.P., Shur, Y., Peterson, R.A., Krantz, W.B., Raynolds, M.K., Gould, W.A., Gonzalez, G., Nicolsky, D.J., Vonlanthen, C.M., Kade, A.N., Kuss, P., Kelley, A.M., Munger, C.A., Tarnocai, C.T., Matveyeva, N.V., and Daniëls, F.J.A. Arctic patterned-ground ecosystems: a synthesis of field studies and models along a North American Arctic Transect. Journal of Geophysical Research 113, (2008). G03S00 http://dx.doi.org/10.1029/2008JG000740CrossRefGoogle Scholar
Washburn, A.L. Classification of patterned ground and review of suggested origins. Bulletin of the Geological Society of America 67, (1956). 823–866.Google Scholar
Wettlaufer, J. Impurity effects in the premelting of ice. Physical Review Letters 82, 12 (1999). 2516–2519.Google Scholar