深埋隧道排水系统非对称堵塞后渗流场的解析研究

doi:10.13722/j.cnki.jrme.2016.0955

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Abstract Analytical study on seepage field of the deep tunnel with asymmetric blocked drainage system has not been carried out at present. An analytical solution of the Laplace equation was derived based on the simplification of the studying area. With the PDE tools，the unknown but necessary boundary conditions were converted to the approximate inhomogeneous ones. These boundary conditions were homogenized with methods like conformal transformation in complex plane，transformation of coordinates，separation of problem for determining the solution of differential equation. The last inhomogeneous boundary condition was expressed as the sum of a family of orthogonal functions in Hilbert space. Finally，a solution of series for the seepage field were derived. The seepage flow field is similar to the funnel shape. The hydraulic head is higher in blocked side. And the further study shows that in most situations the sum of series converges quickly when the number of term in series greater than 50. The differences between the analytical and numerical results of the distribution of hydraulic pressure and seepage flux are only 4.28% and 4.05%.

Key words： tunnel engineering drainage system asymmetric blocked seepage field analytical solution

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	LIU Xinrong
	LIU Kun
	ZHONG Zuliang
	JIN Meihai
	CHEN Hongjun

Cite this article:

LIU Xinrong,LIU Kun,ZHONG Zuliang, et al. Analytical study on seepage field of the deep tunnel with asymmetric blocked drainage system[J]. , 2017, 36(5): 1088-1100.

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http://www.rockmech.org/EN/10.13722/j.cnki.jrme.2016.0955 OR http://www.rockmech.org/EN/Y2017/V36/I5/1088

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