Analytical Solution for Steady-State Groundwater Inflow into a Circular Tunnel in Anisotropic Soils
Publication: Journal of Engineering Mechanics
Volume 144, Issue 9
Abstract
An analytical solution for groundwater flow through a circular tunnel in anisotropic soils is derived based on conformal mapping and can be used to calculate the water flow rate into the tunnel and predict the pore water pressure distribution in surrounding soils. If the vertical and horizontal permeabilities are equal, this analytical solution is reduced to the solution for the isotropic flow condition. This proposed analytical solution is verified by numerical simulations. The water flow rate into the tunnel decreases with a decreasing value of soil permeability in the horizontal direction, and the pore water pressure distribution is distorted due to the anisotropy of soil. This proposed analytical solution provides an efficient approach for estimating the groundwater inflow into a circular tunnel accounting for anisotropic soils.
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Acknowledgments
This research is supported by Alberta Innovation Technology Futures (AITF) Graduate Student Scholarship and China Scholarship Council (CSC). The authors also acknowledge the support from Natural Sciences and Engineering Research Council of Canada (NSERC).
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©2018 American Society of Civil Engineers.
History
Received: Oct 8, 2017
Accepted: Mar 15, 2018
Published online: Jun 18, 2018
Published in print: Sep 1, 2018
Discussion open until: Nov 18, 2018
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