A Quantitative Criterion-based Methodology for Selecting Appropriate Domain Size for Numerical Modeling of Groundwater Inflow into Tunnel

Document Type : Research Article

Authors

1 Assistant Professor; Faculty of Mining Eng., Petroleum and Geophysics, Shahrood University of Technology

2 Associate Professor, Curtin University, Western Australian School of Mine (WASM)

3 Professor, Department of Mining & Metallurgical Engineering, Amirkabir University of Technology

Abstract

Selecting the appropriate model size is a challenging issue in the numerical modeling of groundwater inflow into underground excavation. This issue was studied in this paper by presenting a methodology for selecting appropriate domain size for numerical modeling of groundwater inflow into a tunnel that is excavated inside of semi-infinite aquifer. To reach this goal, first, a dimensionless factor, the so-called normalized rate of inflow variation (NRIV), was defined in cooperation with its limit value, so-called acceptable level of variation (ALV). Then, the appropriate or suitable domain size (SDS) of the numerical model was determined based on the NRIV and ALV. The applicability of the suggested methodology was evaluated for the results of wide range geometrical parameter of tunnel (including different tunnel radiuses and depths) and different flow domain sizes. The results of this study indicated that the required domain size for numerical modeling of groundwater inflow into tunnel increase nonlinearly for larger and deeper tunnels. Moreover, the required domain size increases to 1.8 times by decreasing the level of ALV from 0.0005 to 0.0001, where the relative accuracy of results has only increased up to 4%. Since the larger domain size requires much computational difficulties and insignificant accuracy, the ALV in the level of 0.0005 is suggested for practical numerical modeling of groundwater inflow into tunnels.

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References

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Amirkabir Journal of Civil Engineering
Volume 52, Issue 5
August 2020
Pages 1265-1276

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