scholarly journals Differential frost heave model for patterned ground formation: Corroboration with observations along a North American arctic transect

Author(s):  
R. A. Peterson ◽  
W. B. Krantz
Author(s):  
D. A. Walker ◽  
H. E. Epstein ◽  
V. E. Romanovsky ◽  
C. L. Ping ◽  
G. J. Michaelson ◽  
...  

2003 ◽  
Vol 49 (164) ◽  
pp. 69-80 ◽  
Author(s):  
Rorik A. Peterson ◽  
William B. Krantz

AbstractThe genesis of some types of patterned ground, including hummocks, frost boils and sorted stone circles, has been attributed to differential frost heave (DFH). However, a theoretical model that adequately describes DFH has yet to be developed and validated. In this paper, we present a mathematical model for the initiation of DFH, and discuss how variations in physical (i.e. soil/vegetation properties) and environmental (i.e. ground/air temperatures) properties affect its occurrence and length scale. Using the Fowler and Krantz multidimensional frost-heave equations, a linear stability analysis anda quasi-steady-state real-time analysis are performed. Results indicate that the following conditions positively affect the spontaneous initiation of DFH: silty soil, small Young’s modulus, small non-uniform surface heat transfer or cold uniform surface temperatures, and small freezing depths. The initiating mechanism for DFH is multidimensional heat transfer within the freezing soil. Numerical integration of the linear growth rates indicates that expression of surface patterns can become evident on the 10–100 year time-scale.


2014 ◽  
Vol 23 (13) ◽  
pp. 3258-3272 ◽  
Author(s):  
I. Timling ◽  
D. A. Walker ◽  
C. Nusbaum ◽  
N. J. Lennon ◽  
D. L. Taylor

2011 ◽  
Vol 75 (2) ◽  
pp. 325-333 ◽  
Author(s):  
Rorik A. Peterson

AbstractA. 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.


Author(s):  
Martha K. Raynolds ◽  
Donald A. Walker ◽  
Corinne A. Munger ◽  
Corinne M. Vonlanthen ◽  
Anja N. Kade

2021 ◽  
Author(s):  
Roman S. Czarny ◽  
Magdalena Tomala ◽  
Iwona Wrońska

Author(s):  
Yan Di ◽  
Jian Shuai ◽  
Lingzhen Kong ◽  
Xiayi Zhou

Frost heave must be considered in cases where pipelines are laid in permafrost in order to protect the pipelines from overstress and to maintain the safe operation. In this paper, a finite element model for stress/strain analysis in a pipeline subjected to differential frost heave was presented, in which the amount of frost heave is calculated using a segregation potential model and considering creep effects of the frozen soil. In addition, a computational method for the temperature field around a pipeline was proposed so that the frozen depth and temperature variation gradient could be obtained. Using the procedure proposed in this paper, stress/strain can be calculated according to the temperature on the surface of soil and in a pipeline. The result shows the characteristics of deformation and loading of a pipeline subjected to differential frost heave. In general, the methods and results in this paper can provide a reference for the design, construction and operation of pipelines in permafrost areas.


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