Investigation of creep instability as a mechanism for glacier surges Page: 34 of 40
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FIGURE CAPTIONS
1. Schematic illustration of solutions of equation (10).
Solid curves show how the rate of strain heating depends
on basal temperature for different values of . Dashed
curve shows the rate at which this heat is lost by conduc-
tion. Intersections of these curves represent solutions
of (10). Solution R is unstable; all others are stable
but the high-temperature solui-ons S and T are not physi-
cally realistic. Dotted curve shows rate of strain heat-
ing using the Frank-Kamenetzky approximation; the inter-
sections represent one stable and one unstable -
-- . solution.
2. Schematic solution of equation (10) for small . As 8
increases the basal temperature increases along the path
AB. At point C, corresponding to the critical value 5*,
the basal temperature increases discontinuously.
3. Critical"values of stability parameter 8i* for various
values of advection parameter Y and of geothermal para-
meter * and for a - 30. Values of dimensionless basal
temperature @l. at onset of instability are also shown.
4. Dimensionless temperature profile as a function of dimen-
sionless time T after an increase in from 0.98 1*
to 1.5 02* for * 0 and y = 8 (accumulation)(.eft-hand
and bottom axes). Dimensionless basal temperature 81 is
also shown as a function of T' (right-hand and top axes).
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Paterson, W. S. B.; Nitsan, U. & Clarke, G. K. C. Investigation of creep instability as a mechanism for glacier surges, article, January 1, 1976; New Mexico. (https://digital.library.unt.edu/ark:/67531/metadc1449092/m1/34/: accessed July 17, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.