水文地質(zhì)與工程專業(yè)外文文獻翻譯

1、Analytical solution for steady-state groundwater inflow into a drained circular tunnel in a semi-infinite aquifer: A revisitKyung-HoPark a,*,AdisornOwatsiriwong a,Joo-GongLee baSchool of Engineering and Technology, Asian

2、 Institute of Technology, P.O.Box4, KlongLuang, Pathumthani 12120, ThailandbDODAM Ereceived in revised form 13 February 2007;accepted 18 February 2007 Available online 6 April 2007AbstractThis study deals with the compar

3、ison of existing analytical solutions for the steady-state groundwater inflow into a drained circular tunnel in a semi-infinite aquifer. Two different boundary conditions (one for zero water pressure and the other for a

4、constant total head) along the tunnel circumference, used in the existing solutions, are mentioned. Simple closed-form analytical solutions are re-derived within a common theoretical framework for two different boundary

5、conditions by using the conformal mapping technique. The water inflow predictions are compared to investigate the difference among the solutions. The correct use of the boundary condition along the tunnel circumference i

6、n a shallow drained circular tunnel is emphasized. Ó 2007 Elsevier Ltd. All rights reserved.Keywords: Analytical solution; Tunnels; Groundwater flow; Semi-infinite aquifer1. IntroductionPrediction of the groundwater

7、 inflow into a tunnel is needed for the design of the tunnel drainage system and the estimation of the environmental impact of drainage. Recently, El Tani (2003) presented the analytical solution of the groundwater inflo

8、w based on Mobius transformation and Fourier series. By compiling the exact and approximate solutions by many researchers (Muscat, Goodmanet al., Karlsrud, Rat, Schleiss, Lei, and Lombardi), El Tani(2003) showed the big

9、difference in the prediction of groundwater inflow by the Fig.1.Circular tunnel in a semi-infinite aquifer.According to Darcy’s law and mass conservation, the two-dimensional steady-state groundwater flow around the tunn

10、el is described by the following Laplace equation:(1) 0 2222? ?? ? ??y x? ?where =total head (or hydraulic head), being given by the sum of the pressure and elevation ?heads, or(2) Z pW? ? ? ?p =pressure, =unit weight

11、of water, Z =elevation head,which is the vertical distance of a W ?given point above or below a datum plane. Here,the ground surface is used as the elevation reference datum to consider the case in which the water table

12、 is above the ground surface. Note that E1 Tani (2003) used the water level as the elevation reference datum,whereas Kolymbas and Wagner (2007) used the ground surface.In order to solve Eq. (1),two boundary conditions ar

13、e needed:one at the ground surface and the other along the tunnel circumference.The boundary condition at the ground surface (y =0) is clearly expressed as(3) H y ? ? ） （ 0 ?In the case of a drained tunnel, however, two

14、different boundary conditions along the tunnel circumference can be found in the literature:(Fig.1)(1)Case 1:zero water pressure, and so total head=elevation head (El Tani,2003)(4) y r ? ) ( ?(2)Case 2:constant total hea

15、d, ha(Lei, 1999; Kolymbas and Wagner,2007)(5) a r h ? ） （ ?It should be noted that the boundary condition of Eq.(5) assumes a constant total head, whereas Eq.(4) gives varying total head along the tunnel circumference. B