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Ontario Power Generation's Response to the Joint Review

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Serge Clement 1011170042-TM-G2100-0001-01<br />

Tetra Tech December 23, 2011<br />

Hydraulic Conductivity of Concrete<br />

Typical hydraulic conductivity for uncracked concrete is of <strong>the</strong> order of 1×10 -11 m/s [4][5] . However, shrinkage,<br />

temperature and loading will result in cracking. Shrinkage cracking depends on <strong>the</strong> volume of concrete cast per<br />

round and temperature cracking depends on heat of hydration and temperature variations underground. Nei<strong>the</strong>r<br />

of <strong>the</strong>se should be <strong>the</strong> controlling fac<strong>to</strong>r for significant changes in hydraulic conductivity of <strong>the</strong> concrete liner due<br />

<strong>to</strong> <strong>the</strong> sectional (low volume) concrete pours typical of shaft construction. Loading will have a larger impact on<br />

<strong>the</strong> concrete liner, more specifically, seismic loading.<br />

Static loads on <strong>the</strong> concrete liner are not significant because <strong>the</strong> liner is being installed 10 m above <strong>the</strong> shaft<br />

excavation bot<strong>to</strong>m, <strong>the</strong>refore, only <strong>the</strong> loads resulting from seismic activity are of concern. Two seismic load<br />

scenarios are considered in <strong>the</strong> estimates presented in this memorandum, namely, <strong>the</strong> 2,500 year event and <strong>the</strong><br />

100,000 year event. Strains due <strong>to</strong> longitudinal bending of <strong>the</strong> shaft as well as ovaling of <strong>the</strong> cross-section are<br />

considered in <strong>the</strong> estimation of <strong>the</strong> hydraulic conductivities of <strong>the</strong> concrete liner (see Figure 2). Although <strong>the</strong><br />

levels of strain translate in<strong>to</strong> stresses in <strong>the</strong> concrete that are well below its compressive strength (< 20%), in <strong>the</strong><br />

case of transverse strains, <strong>the</strong> concrete tensile strength will be exceeded and could result in cracking.<br />

The maximum strains on <strong>the</strong> concrete liner in <strong>the</strong> upper formations (Horizon 1) reported in Golder’s Document<br />

1011170042-TM-G2140-0002-A [3] for <strong>the</strong> 100,000 year event and subsequent analyses for <strong>the</strong> 2,500 year event<br />

(revised Technical Memorandum under preparation) are shown in Table 2. For a more detailed explanation of<br />

<strong>the</strong> estimation of <strong>the</strong> annual exceedance frequencies and associated probabilities, <strong>the</strong> reader is referred <strong>to</strong> <strong>the</strong><br />

Seismic Hazard Assessment Report [6] .<br />

Table 2: Maximum Strains in Concrete Liner [3]<br />

Formation(s)<br />

Longitudinal Strain (mm/mm) Transverse Strain (mm/mm)<br />

2,500 Year 100,000 Year 2,500 Year 100,000 Year<br />

Lucas 0.000058 0.000095 0.000022 0.000244<br />

Amherstburg 0.000017 0.000075 0.000053 0.000225<br />

Bois Blanc 0.000016 0.000067 0.000054 0.000229<br />

Bass Island 0.000025 0.000110 0.000059 0.000263<br />

Salina G 0.000022 0.000094 0.000054 0.000240<br />

Salina F 0.000012 0.000051 0.000042 0.000179<br />

4/10

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