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Predicted and Observed Groundwater Inflows into Two Rock Tunnels

Predicted and Observed Groundwater Inflows into Two Rock Tunnels

Predicted and Observed Groundwater Inflows into Two Rock Tunnels

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558 2003 RETC PROCEEDINGS<br />

0.45<br />

0.40<br />

0.35<br />

0.30<br />

Relative Frequency<br />

0.25<br />

0.20<br />

0.15<br />

0.10<br />

0.05<br />

0.00<br />

1.00E-06 3.00E-06 1.00E-05 3.00E-05 1.00E-04 3.00E-04 1.00E-03 3.00E-03 1.00E-02<br />

Hydraulic Conductivity (cm/sec)<br />

Log Normal Distribution<br />

Histogram of Recorded Measurements<br />

Figure 2.<br />

Histograms of Borman Park water pressure test results<br />

Empirical Predictions<br />

Inflow predictions were made using the procedure described by Heuer (1995) <strong>and</strong><br />

augmented by Raymer (2001). One inflow estimate was made by using the packer test<br />

data directly with Heuer’s procedure <strong>and</strong> a second estimate was made using the<br />

packer test data to estimate percentages of tunnel crossing a log-normally distributed<br />

hydraulic conductivity population. The head ranges between 184 to 201 feet, <strong>and</strong> a low<br />

<strong>and</strong> high inflow estimate was made for either extreme.<br />

Inflow predictions from the two methods are presented in Figure 3, which shows<br />

inflow for each conductivity interval, <strong>and</strong> a cumulative inflow obtained by summing<br />

inflows from each interval (from lowest to highest conductivity). Both methods indicate<br />

that the inflow will be dominated by relatively high hydraulic conductivities. The<br />

analysis shows 75% (histogram) <strong>and</strong> 65% (lognormal) of total inflow is due to zones<br />

with hydraulic conductivities above 1 × 10 –3 cm/sec. The high tail end conductivities<br />

incorporated <strong>into</strong> the lognormal analysis leads to a 15% higher total inflow estimate of<br />

698 gpm compared to the histogram based estimate of 590 gpm.<br />

Inflow Observations<br />

Tunnel inflows were mapped between 3 days to a week after tunnel excavation,<br />

<strong>and</strong> about 300 feet behind the TBM heading position. <strong>Inflows</strong> measured during this<br />

time <strong>and</strong> at this distance from the tunnel face were lower than heading inflows, <strong>and</strong><br />

represent sources that provided sustained flow after many transient inflow sources had<br />

dried up. The observations are assumed to represent an approximation of the<br />

distribution of long-term steady state inflows. Actual steady state inflow quantities are<br />

expected to be somewhat lower than mapped due to drainage of fractures.<br />

The inflows mapped over a mile of the tunnel were summed over 100-foot intervals<br />

<strong>and</strong> converted to inflow per unit length. The resulting data was compiled <strong>into</strong> a histogram<br />

<strong>and</strong> is shown in Figure 4 along with predicted inflow. <strong>Observed</strong> inflows have a different<br />

distribution form <strong>and</strong> higher mean than the predictive histograms, as seen in Figure 4.<br />

The mean value of hydraulic conductivity from packer testing data was 5.5 × 10 –5 cm/sec<br />

while the mean value implied by the observed inflows is 2 × 10 –4 cm/sec. The

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