典型海(咸)水入侵防治措施机理数学解析

Mathematical Analysis on Mechanism of Typical Sea (Salt) Water Intrusion Prevention Measures

摘要: 海(咸)水入侵是一种自然灾害，入侵过程遵循能量守恒定律、动量守恒定律及牛顿第二定律。在自然状态和人为干预状态下海(咸)水入侵过程中的影响因子之间并非单一的线性关系。本文利用量纲一致的原则从海(咸)水入侵的数学机理上进行研究分析，分别对自然状态条件、淡水水体帷幕防治措施条件以及地下坝刚性防治措施条件下的海(咸)水入侵的动态平衡进行了数学描述。本文提出了各种防治措施条件下的基础因子与关键因子，建立了海(咸)水入侵防治措施基础因子和关键因子的无量纲关系。通过实例分析，结果表明：不同的人工防治工程措施对应不同的关键性指标，其无量纲关系曲线表明淡水帷幕运移的时间、距离与淡水回灌流量呈现较好的规律性。因子之间的无量纲关系曲线也为海(咸)水入侵的防治和机理研究提供新的思路。

Abstract: It is well known that sea (salt) water intrusion is a natural disaster, and its process follows the law of energy conservation, the law of conservation of momentum and the Newton’s second law. It is not a single linear relationship between sea (salt) water intrusion factors both in the natural state and human intervention state. In this paper, using dimensional homogeneity theory, the mathematic representation of seawater intrusion dynamic balance is made under both natural conditions and typical prevention measure conditions. The foundation factors and key factors under all sorts of seawater intrusion pre-vention measure conditions are proposed, and the dimensionless relationship between the foundation factors and key factors is built. The result shows that different artificial control projects correspond to different key indicators, and the dimensionless relation indicates that the water curtain migration time distance and fresh water injection flow present a good regularity. The dimensionless relation will also provide a technical support for seawater intrusion prevention and research in the future.