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Short Note: Steady Profile of a Finite-Amplitude Kinematic Wave on a Glacier*

  • James N. Johnson (a1)
Abstract

The steady profile of a finite-amplitude kinematic wave on a glacier is calculated with the assumption that the wave velocity varies linearly with h 1, the departure of the ice thickness from the datum state. If the flow of ice is due mainly to sliding of the glacier on its bed, the width of the calculated steady profile is several hundred times the datum state ice thickness. The width of an observed kinematic wave front on Nisqually Glacier, Mt. Rainier, Washington is at least an order of magnitude smaller than the calculated steady profile. This indicates that the observed steepening of the wave may be due to effects other than variation of wave velocity with ice thickness.

Résumé

Profil permanent d’une onde cinématique d’amplitude finie sur un glacier. Le profil permanent d’une onde cinématique d’amplitude finie sur un glacier est calculé suivant l’hypothèse que la vitesse de l’onde varie linéairement avec h 1 l’épaisseur au départ de la glace à la date initiale. Si l’ecoulement de la glace est dü principalement au glissement sur son lit, l’étendue du profil permanent calculé est plusieurs centaines de fois égale à l’épaisseur initiale de la glace. L’étendue du front d’une onde cinématique observée sur le Nisqually Glacier, Mt. Rainier, Washington, est finalement d’un ordre de grandeur plus petite que celle du profil permanent calculé. Cela indique que l’augmentation de pente observée de l’onde peut étre due à d’autres effets qu’a celui de la variation de la vitesse de l’onde avec l’épaisseur de la glace.

Zusammenfassung

Stationäres Profil einer kinematischen Welle mil begrenzter Amplitude arf einem Gletscher. Unter der Annahme, dass die Wellengeschwindigkeit sich linear mit h 1, dem Ausgangswert der Eisdicke, ändert, wird das stationäre Profil einer kinematischen Welle mit begrenzter Amplitude auf einem Gletscher berechnet. Wenn die Eisbewegung hauptsächlich aus denn Gleiten am Untergrund besteht, beträgt die Längsausdehnung des berechneten stationären Profiles das Mehrhundertfache der Ausgangseisdicke. Die Längsausdehnung einer am Nisqually-Gletscher, Mt. Rainier, Washington, beobachteten Wellenfront ist wenigstens eine Grössenordnung kleiner als das berechnete stationäre Profil. Dies weist darauf hin, dass die beobachtete Versteilung der Welle durch andere Einflüsse als die Änderung der Wellengeschwindigkeit mit der Eisdicke verursacht sein mag.

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Research sponsored by the Air Force Office of Scientific Research, Office of Aerospace Research, United States Air Force, under AFOSR contract grant number AF-AFOSR-1088–66.

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Journal of Glaciology
  • ISSN: 0022-1430
  • EISSN: 1727-5652
  • URL: /core/journals/journal-of-glaciology
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