Journal of Geological Society of India (Online archive from Vol 1 to Vol 78)

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Optimization of Analytical Equations of Groundwater Seepage into Tunnels: A Case Study of Amirkabir Tunnel


Affiliations
1 Mining, Metallurgy and Petroleum Dept., Amirkabir University, Tehran, Iran, Islamic Republic of
2 Dept. of Mining and Metallurgy Engg., Amirkabir University of Technology, Hafez Ave., Tehran, Iran, Islamic Republic of
     

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In this study, with investigation of validity limits of analytical equations in computing groundwater seepage discharge into tunnels in different values of r/h (tunnel radius/water table height above tunnel), using optimization by regression analysis, we have tried to converge the results of analytical equations for any value of r/h. There are various experimental, analytical and numerical methods by which it is possible to calculate the amount of groundwater seepage into tunnels. Due to their simplicity and practical base theory, analytical methods have been applied more frequently. Studies imply that amount of real seepage into tunnel is significantly less than what is anticipated from analytical equations; on the other hand, the results of seepage calculations using these equations are depended on tunnel geometry and medium conditions. Previous investigations confirmed that in a tunnel for which, r/h is more than 0.4; these results are highly different both from one another and from the real seepage inflow. In this paper, optimization has been successfully performed on analytical equations so that the results of these methods are converged to each other for any value of r/h.

Keywords

Tunnel Seepage Discharge, Groundwater, Optimization, Analytical Equation.
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  • Optimization of Analytical Equations of Groundwater Seepage into Tunnels: A Case Study of Amirkabir Tunnel

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Authors

H. Farhadian
Mining, Metallurgy and Petroleum Dept., Amirkabir University, Tehran, Iran, Islamic Republic of
A. Aalianvari
Mining, Metallurgy and Petroleum Dept., Amirkabir University, Tehran, Iran, Islamic Republic of
H. Katibeh
Dept. of Mining and Metallurgy Engg., Amirkabir University of Technology, Hafez Ave., Tehran, Iran, Islamic Republic of

Abstract


In this study, with investigation of validity limits of analytical equations in computing groundwater seepage discharge into tunnels in different values of r/h (tunnel radius/water table height above tunnel), using optimization by regression analysis, we have tried to converge the results of analytical equations for any value of r/h. There are various experimental, analytical and numerical methods by which it is possible to calculate the amount of groundwater seepage into tunnels. Due to their simplicity and practical base theory, analytical methods have been applied more frequently. Studies imply that amount of real seepage into tunnel is significantly less than what is anticipated from analytical equations; on the other hand, the results of seepage calculations using these equations are depended on tunnel geometry and medium conditions. Previous investigations confirmed that in a tunnel for which, r/h is more than 0.4; these results are highly different both from one another and from the real seepage inflow. In this paper, optimization has been successfully performed on analytical equations so that the results of these methods are converged to each other for any value of r/h.

Keywords


Tunnel Seepage Discharge, Groundwater, Optimization, Analytical Equation.

References