摘要
根据岩溶流域泉流量与河流流域出口流量过程物理机制的相似性,解释了泉流量对降雨的响应关系.并以稳定分布为基础,将岩溶流域的泉流量衰减公式的衰减核函数进行改进,得到了具有偏态性和拖尾分布的泉流量衰减公式,并推导出了分数阶泉流量衰减方程.当分数阶指数为1时,方程退化为传统的流量方程,当分数阶指数小于1时,该方程描述了泉流量曲线的偏态性和拖尾分布,更具有一般性.为解决分数阶流量方程求解困难,提出了利用傅里叶变换和傅里叶逆变换求衰减核函数的方法.将该模型应用于桂林丫吉岩溶试验场的泉流量模拟,结果表明,新的模型能够模拟出泉流量曲线的偏态性及拖尾分布.
The relationship between spring＇s discharge of karst depression and rainfall is interpreted according to the similarity between the spring＇s discharge and the runoff of a catchment.According to the stable distribution,the attenuation kernel function in the attenuation formula describing the discharge of springs is modified,which results in a novel attenuation equation describing the variation of discharge with skewness and heavy tail.The fractional discharge equation is derived consequently.The novel attenuation equation degenerates to traditional one in the case of the fractional index being 1.If the fractional index is less than 1,the novel attenuation equation describes the discharge of spring with skewness and heavy tail.To deal with the difficulty getting solution from the fractional equation,the Fourier transform and inverse transform are used to obtain the attenuation kernel function.The novel model has been applied to simulate the discharge of spring at Yaji site in Guilin.The result shows the model can simulate the discharge of springs with skewness and heavy tail.
出处
《南京大学学报（自然科学版）》
CAS
CSCD
北大核心
2016年第3期490-495,共6页
Journal of Nanjing University（Natural Science）
基金
国家自然科学基金(41302197)
广西自然科学基金(2013GXNSFBA019211)
广西环境污染控制理论与技术重点实验室基金(桂科能1201Z023)
关键词
稳定分布
分数阶
岩溶泉
衰减方程
stable distribution
fractional
karst spring
attenuation equation
