›› 2018, Vol. 39 ›› Issue (9): 3355-3361.doi: 10.16285/j.rsm.2016.3005

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

A mathematical model and its solution for unsteady flow under siphon drainage by fully penetrating well in soft ground

WU Gang1, SUN Hong-yue1, FU Cui-wei2, CHEN Yong-zhen1, TANG Bi-hui1   

  1. 1. Ocean College, Zhejiang University, Zhoushan, Zhejiang 316021, China; 2. Department of Architecture and Civil Engineering, City University of Hong Kong, Hong Kong, China
  • Online:2018-09-11 Published:2018-10-08
  • Supported by:

    This work was supported by the National Natural Science Foundation of China(41272336).

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Abstract: The treatment of soft ground deposit is problem in geotechnical engineering. Most treatments drain the water out of the soft soil deposit. Siphon method is simple and free of power, and can be used to dewater the groundwater. To better understand the mechanism of siphon drainage process in soft ground improvement, the analytical analysis are carried out to investigate the ground water level in soft ground and siphon discharge according to the ground water movement theory. An explicit analytical solution of axisymmetric well-flow differential equations in unconfined aquifer is derived to assess the water level and discharge in soft ground based on Theis theory and Boltzmann transformation. The analytical solution is verified by numerical simulation. The results show that the analytical solution agree well with data obtained from experiment. Relative error is 0-15% by comparing analytical solution and classical solution, and it is more simple than classical solution. It is more convenient than classical solution for engineering application.

Key words: siphon, soft ground, unconfined aquifer, well flow, analytical solution

CLC Number: 

  • TU 470

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