Prediction of water flow into rock tunnels: an analytical solution assuming an hydraulic conductivity gradient

Zhang, L.; Franklin, John A.

doi:10.1016/0148-9062(93)90174-c

Cited by 81 publications

(28 citation statements)

References 6 publications

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“… Wang et al [2009] estimated A to be 0.022 m −1 in the shallow part of a fractured basalt in Southwest China. Zhang and Franklin [1993] compared the amount of discharge into tunnels at different depths under different decay exponents of 0, 0.0001, 0.001, 0.005, and 0.01 m −1 . In this study, we use the following A values: 0, 0.001, 0.003, 0.005, 0.008, and 0.01 m −1 to investigate the response of regional groundwater flow to the change of A .…”

Section: Theoretical Analysis On a Synthetic Drainage Basinmentioning

confidence: 99%

Effect of exponential decay in hydraulic conductivity with depth on regional groundwater flow

Jiang

Wan

Wang

et al. 2009

Geophysical Research Letters

122

121

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[1] Regional groundwater flow is critical for understanding a variety of geologic processes. Unfortunately, few studies have considered the impact of gradual decrease in hydraulic conductivity (K) with depth on groundwater flow. In this study, regional groundwater flow through a basin is analyzed under conditions of exponentially decaying K with depth. We found that the development of local versus regional flow systems is sensitive to the decay exponent of K. With higher rates of decrease in K with depth, the penetration depth of local flow systems increases, the regional flow weakens, the amount of recharge decreases, and less water reaches the regional discharge zone. Therefore, the depth decay of K should not be neglected when analyzing hydrologic problems related to regional groundwater flow.

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Section: Theoretical Analysis On a Synthetic Drainage Basinmentioning

confidence: 99%

Effect of exponential decay in hydraulic conductivity with depth on regional groundwater flow

Jiang

Wan

Wang

et al. 2009

Geophysical Research Letters

122

121

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show abstract

“…Park et al (2008) revised and compared existing analytical solutions using a common notation and reference datum for the hydraulic head. Zhang and Franklin (1993) presented an analytical solution for the circular tunnel assuming a hydraulic conductivity gradient, which can be regarded as an extension of the solution of Goodman (1965). Most of these models assume two-dimensional flow in a plane perpendicular to the tunnel axis and the tunnel has a circular geometry.…”

Section: Preliminary Semi-analytical Solution For Water Inflow Estimamentioning

confidence: 99%

Back-analysis approach for the determination of hydraulic conductivity in rock caverns

Zhao

Sun

et al. 2015

Tunnelling and Underground Space Technology

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“…The various approximations, Q a , ( Q Ka , Karlsrud ; Q LK , Lei ; Kolymbas and Wagner ; Q Go , Goodman et al ; Q ZF , Zhang and Franklin ; Q El , El Tani ), against the exact analytical solution of water inflow Q 0 (El Tani ) with the initial piezometric head h .…”

Section: Definition Of the Problemmentioning

confidence: 99%

“…In contrast to this widespread solution, Lei () and Kolymbas and Wagner () rederived the inflow rate formula with wider application for both deep and shallow tunnels. Zhang and Franklin () took into account the varying hydraulic conductivity of medium to predict the groundwater inflow, and the proposed analytical solution can be regarded as an extension of the solution of Goodman et al (). El Tani () presented an analytical expression for exact gravity water inflow into a circular tunnel in a semi‐infinite, homogeneous and isotropic aquifer, which is based on Mobius‐transformation and Fourier series, and the derived equation has a large field of applicability.…”

Section: Introductionmentioning

confidence: 99%

An Analytical Method for Groundwater Inflow into a Drained Circular Tunnel

Kai

Zhou

et al. 2017

Groundwater

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Groundwater inflow estimation is essential for the design and construction of tunnel and the assessment of the environmental impacts. Analytical solutions used in current engineering practice do not adequately account for the effect of the excavation-induced drawdown, which leads to significant change in pore water pressure distribution and reductions of the water level beyond tunnel. Based on the numerical analysis results, this article proposes semianalytical method to predict the height of lowered water level and groundwater tunnel inflow. The tunnel problem is conceptualized as two-dimensional flow in a plane perpendicular to the tunnel axis. The analytical formula, considering the effect of the excavation-induced drawdown, provides a better prediction of the tunnel inflow compared to the existing analytical formulas, even for the cases with inclined groundwater level.

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Prediction of water flow into rock tunnels: an analytical solution assuming an hydraulic conductivity gradient

Cited by 81 publications

References 6 publications

Effect of exponential decay in hydraulic conductivity with depth on regional groundwater flow

Effect of exponential decay in hydraulic conductivity with depth on regional groundwater flow

Back-analysis approach for the determination of hydraulic conductivity in rock caverns

An Analytical Method for Groundwater Inflow into a Drained Circular Tunnel

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