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

LIU Nengsheng; CAO Hengming

doi:10.21656/1000-0887.400371

Volume 41 Issue 9

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LIU Nengsheng, CAO Hengming. Solution and Application of the Transient Phreatic Flow Motion Model Under General Function Boundary[J]. Applied Mathematics and Mechanics, 2020, 41(9): 1048-1056. doi: 10.21656/1000-0887.400371

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

doi: 10.21656/1000-0887.400371

LIU Nengsheng¹,
CAO Hengming²

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

Received Date: 2019-12-12
Rev Recd Date: 2020-03-09
Publish Date: 2020-09-01

Abstract

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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References(19)

References

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