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Dingee Reservoir Final Seismic Report - East Bay Municipal Utility ...

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We have tabulated the results for both reservoir surface levels in this section. For estimating the<br />

long-term and current and future seismic stability, we have elected to use storage elevation of<br />

768 feet.<br />

7.3 Long-Term Static Stability<br />

For long-term static stability, a drained analysis with steady state seepage was analyzed for both<br />

upstream and downstream slopes of the dam. For each slope condition, both deep and shallow<br />

failure conditions were evaluated. The analyses were performed using unit weights and effective<br />

strength parameters of the materials shown in Table 4A and 4B, an assumed phreatic line based<br />

on maximum recorded data (since year 2000) of the existing piezometers, and an average-high<br />

reservoir water level (at Elevation +768 feet).<br />

The results of the long-term static stability analysis are shown in Plate 18 for the upstream and<br />

Plate 19 for the downstream slopes. The lowest factors of safety against long-term static stability<br />

for the upstream and downstream slopes are presented in Table 5 below.<br />

Table 5: Long-Term Static Slope Stability Analysis Results – Factors of Safety<br />

Section Upstream Downstream<br />

A-A’ (Water EL = 772 ft) 2.74 1.45<br />

A-A’ (Water EL =768 ft)<br />

1.57<br />

2.31<br />

Block Surface<br />

(See Plate 18)<br />

(See Plate 19)<br />

A-A’ (Water EL =768 ft) NA<br />

1.67<br />

Circular Surface<br />

(See Plate 20)<br />

7.4 Short-Term <strong>Seismic</strong> Stability<br />

A pseudo-dynamic approach was utilized for evaluation of slope stability under seismic<br />

conditions. In this approach, earthquake forces are represented by an equivalent dynamic<br />

horizontal force which consists of the estimated effective horizontal ground acceleration<br />

multiplied by the mass of the potential slide material. For earthquake loading conditions, the<br />

analyses were performed using static total strength parameters as the undrained shear strength for<br />

the materials as shown in Table 4B. No phreatic line was used in these undrained loading<br />

analyses.<br />

Based on the in-situ blow-counts and strength test results, the dam fill materials, native materials,<br />

and the sandstone bedrock are not anticipated to undergo strength loss during cyclic or seismic<br />

loading. As mentioned previously, typical strength increases for rapid loading can be 20 percent<br />

or greater; however, a conservative approach of no strength increase was used for this project.<br />

In the pseudo-dynamic stability analysis, the result is the yield acceleration, K y , an effective<br />

horizontal ground acceleration at which a potential sliding surface would develop a factor of<br />

safety equal to unity. The results of the pseudo-dynamic stability analysis are shown on Plates<br />

<strong>Seismic</strong> Stability Evaluation <strong>Report</strong><br />

<strong>Dingee</strong> <strong>Reservoir</strong> Dam<br />

17<br />

August 2008

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