摘要
本文借助最小熵产生原理等理论手段,在冰斗的几何形态方面进行了较深入的探讨。同时,为了给出所建模型与实际量测结果的拟合情况,设计了一种曲线拟合度度量指标。
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
However, in 1974 Masamu Aniya found that cirque morphology approximated best to the elliptic paraboloid
Obviously, on the curved surface represented by (2), the curve cut by a plane which is perpendicular to x-yplane is a parabola
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.
出处
《冰川冻土》
CSCD
北大核心
1990年第3期227-234,共8页
Journal of Glaciology and Geocryology
关键词
冰斗
形态
数学模型
山岳冰川
熵
entropy, cirque morphology, theoretic model, statistic model, fitting
