对于在漏水的含水层系统中异常的水流的微分衍生方法,深度衰减水导电能力的水流
Yabing Li1, Zhifang Zhou2, Ning Zhang3
1Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui Province 230027, China.
Water research
|December 9, 2023
概括
本研究引入了分数衍生模型,以准确地表示水生动物中的异常扩散,通过记忆和异质性来改善多水层系统中的地下水流预测.
科学领域:
- 水文地质学 水文地质学
- 地质物理学 地质物理学
- 数学建模的数学建模
背景情况:
- 水库通过控制漏水,在多层水表系统中的地下水流中发挥着至关重要的作用.
- 有限的研究存在于水族群异质性和非传统的流动模式,阻碍了准确的地下水管理.
研究的目的:
- 扩展分数导数方法以建模水生动物的依赖时间的流量传输.
- 开发一种在有漏水的含水层系统中进行抽水试验的过渡模型,该模型包含了水族动物的记忆和异质性.
- 分析记忆效应和液压导电性衰减对含水层系统行为的影响.
主要方法:
- 应用分数导数方法来模型水族动物流.
- 在独立的水生动物园中为特定排放的分析溶液的导出.
- 开发半分析解决方案,用于在有漏水的含水层系统中进行过渡性试.
- 记忆因子 (β) 和无维衰减指数 (Ad) 的灵敏度分析.
主要成果:
- 水尾流表现出异常扩散,衰变速度较慢,并且具有重尾特异性排放.
- 分数衍生模型与传统模型相比,与实验数据的一致性更高.
- 更强大的记忆效应减少了水族园和封闭的含水层中的吸水量.
- 无维衰变指数的增加减少了水中层的吸收,并在晚期增加了含水层的吸收.
- 鱼对β和Ad的下拉灵敏度在早期到中期显示了两个峰值.
结论:
- 分数衍生模型准确地捕捉了水生动物的异常扩散行为.
- 结合记忆效应和垂直异质性对于现实的地下水流量建模至关重要.
- 开发的模型为有效地管理地下水资源提供了一个实用的工具.
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