Yue Tianxiang, Ai Nanshah
Cirque is one of the typiest glacial erosional landforms of the moutain glaciers the describing of cirque morphology and the studying of the forming mechanism of cirque were primarily payed close attention by the glacial geomorphologists. But the mathematic model studying of cirque morphology was comparatively less. In this paper, we have probed into the geometrical morphology of cirque by mesns of the producing principle of minimum entropy etc.. That is, when the morphology of cirque tends towards stability, the arbitrary half-cross-line on the cirque surface can be described by
(1)However, in 1974 Masamu Aniya found that cirque morphology approximated best to the elliptic paraboloid z=(x/a)
k+(y/b)
h (2) Obviously, on the curved surface represented by (2), the curve cut by a plane which is perpendicular to
x-yplane is a parabola z=βx
r (3) To look through the fitting detail between theoretic model and measured one, we have designed a measuring index of the degree of curve fitting
According to the calculation, we find that the forms of the theoretic model and the statistic one are completely the same when parameters are fixed suitably. It tests and verifies the theoretic model. But clearly, the former is the model deduced the oretically, for the latter, the experientially statistic conclusions are theoretically proved more substantially.
