Recognition method for scale-free area of Chishui River plane morphology and fractal characteristics
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Abstract:
Taking 86 groups of curved river sections selected from the mainstream of the Chishui River as the research object, the information dimension of the length of the waterline and the information dimension of the riverbed water landform area are calculated based on the g rid covering method. By summarizing the variation law of fractal dimension " rough calculation value" , a met hod of scale-free interv al identification is obtained, and the plane morphological and geomorphic characteristics of the selected curved river section are analyzed. The results show that: The " instability " phenomenon of the rough calculation value can be used as the criterion to ef fectively identify the scale-free interval of the fractal body, and [ 10, 40] is the scale-free area of the information dimension calculation; the information dimension range of the water edge line of the measured curved river section is [ 0.915 7, 1.042 1] with an averag evalue of 0. 997 9, the landform area information dimension range is [ 1.301 3, 1.923 0] with an averag evalue of 1.676 0, and the tortuosity value range is [ 1.025 9, 2.651 2] , the averag evalue is 1.271 2, respectively ; in the middle and lower reaches of the Chishui River, the correlation coefficients of the waterfront information dimension and the to rtuosity are 0.469 and 0.644 respectively , both of which are significantly correlated, and the degree of correlation is gradually strengthened. The correlation between the info rmation dimension of the landform area and the information dimension of the waterfront line and the curvature rate is weak and has a neg ative correlation with the information dimension of the water frontline.
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