通用函数边界下潜水非稳定流模型的解及应用

刘能胜; 曹恒明

doi:10.21656/1000-0887.400371

通用函数边界下潜水非稳定流模型的解及应用

doi: 10.21656/1000-0887.400371

刘能胜¹,
曹恒明²

¹湖北水利水电职业技术学院, 武汉 430070;²盐城市图书馆, 江苏盐城 224005

详细信息

作者简介:
刘能胜（1979—），男，副教授，硕士（通讯作者. E-mail: 7367428@qq.com）.

中图分类号: P641.132
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- 被引次数: 0
出版历程
- 收稿日期: 2019-12-12
- 修回日期: 2020-03-09
- 刊出日期: 2020-09-01

Solution and Application of the Transient Phreatic Flow Motion Model Under General Function Boundary

LIU Nengsheng¹,
CAO Hengming²

¹Hubei Water Resources Technical College, Wuhan 430070, P.R.China;²Yancheng Library, Yancheng, Jiangsu 224005, P.R.China

摘要

摘要: 针对半无限域河渠附近潜水非稳定运动经典模型中河渠水位边界条件概化的局限性，在经典模型的基础之上将河渠水位变化过程概化为通用函数形式，并采用Laplace变换方法对模型进行处理，结合Laplace变换中的微分定理和卷积定理，给出了模型的解析解.同时，为探讨解在实际问题中的运用，对河渠水位变化过程进行Lagrange线性插值，并结合相关实测水位数据，利用MATLAB软件对含水层参数进行求解.结果表明，通用函数形式河渠水位边界条件下给出的模型解析式形式较为简洁，解的构成也均为常规函数，结合插值函数，经处理后进行含水层参数求解，方法简便且结果精度较高，具有较好的推广价值.
- 潜水非稳定流 /
- Laplace变换 /
- Lagrange插值 /
- MATLAB
Abstract: In view of the limitations on the generalization of the canal water level boundary conditions for the classic transient phreatic flow motion model near the semi-infinite domain canal, and based on this model, the water level change process of the canal was generalized into a general function form, and the Laplace transform method was used to process the model. Combined with the differential theorem and convolution theorem in the Laplace transform, the analytical solution of the model was given. To explore the application of the solution to practical problems, the water level change process of the canal was analyzed by the Lagrange interpolation, and the MATLAB software was used to solve the aquifer parameters with the relevant measured water level data. The results show that, the analytic general function form model under the river channel water level boundary conditions is relatively simple, and the composition of the solution includes all conventional functions. Combined with the interpolation functions, the proposed model works well in solution of the aquifer parameters with high precision and apparent simplicity, and has good popularization values.
- transient phreatic flow /
- Laplace transform /
- Lagrange interpolation /
- MATLAB

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参考文献(19)

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