灌区灌溉渠系分形特征研究

    Fractal features of irrigation canal system in irrigation district

    • 摘要: 灌溉渠系是一种分形体,渠系的某部分渠段在某种程度上包含了整个渠系的信息。该文将分形理论引入到灌溉渠系的研究中,对其分形特征和分维数进行了分析,并运用盒计数法计算了漳河灌区灌溉渠系的分形维数。在此基础上,论证了渠系分形维数与其灌水模数的相关性,为灌区渠系布置优化设计提供了一定的理论依据。

       

      Abstract: The irrigation canal system can be viewed as a fractal with fractal dimension, and the part of canal system composes the information of the whole system on a certain degree. In this paper, the fractal theory is introduced to the research of irrigation canal system to analyse their fractal characteristics and the fractal dimension. The box-counting algorithm is adopted to calculate the fractal dimension of irrigation canal system in Zhanghe Irrigation District. Based on those studies, the correlation between the fractal dimension and irrigation modulus is testified, which could provide some theoretical bases for the optimal layout of irrigation canal system.

       

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