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抽水过程中井水位变化的分形特征研究
张学真1, 常安定1, 刘奕慧1
长安大学 环境科学与工程学院
摘要:
【目的】 探讨潜水井抽水过程中井水位与井流量变化的分形特征,为潜水井水位与井流变化的定量研究探索新的计算途径。【方法】 在引入分形理论、分形维数计算方法的基础上,以潜水含水层抽水过程为例,计算了主井和各观测井水位及井流量过程线的分形维数和曲率大小。【结果】 将分形维数与不同落程井流量大小加以比较,可以发现分形维数D越大,观测井水位变化过程线越复杂,形状因子a越大,曲线越扁平,曲线峰值越小;不同落程井流量的大小与其对应井流量过程线的分形维数大小呈负相关。【结论】 分形理论中的分形维数D和形状因子a,可以定量描述潜水井抽水过程中井水位过程线的分形维数和形状因子的复杂关系。
关键词:  潜水井  抽水过程  井水位变化  井流量  分形特征
DOI:
分类号:
基金项目:陕西省科技厅项目(2002K09 GB)
Fractal characteristics of the well’s water level changes in pumping
Abstract:
【Objective】 The study discussed the fractal characteristics of the well’s water level and flow in pumping process,probed into some new methods describing the well’s water level and flow variation.【Method】 It briefly introduced fractal theory and fractal dimension calculating method.With phreatic water pumping test as an example,it calculated the fractal dimensions and curvature size of pumping well water level and observing well water levels in pumping process.【Result】 It compared fractal dimensions with the different pumping well water levels and put forward that,the D and a value increased as the pumping well level became complex,the curves were more flat,the curve peaks value were smaller,inverse correlations existed between fractal dimensions and different fall well flow values.【Conclusion】 The tentative data analysis suggested that the complex relations between the well level D and a values could be described.
Key words:  phreatic well  pumping process  change of water level  pumping well flow  fractal characteristic