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Mr. Max Ramey <br />,lone 17, 2003 <br />page 9 <br />for the case where the rock mass strength is reduced by 20% from the base case. The figure <br />shows the depth of yield into the roof as a function of the number of pressure cycles. The figure <br />also displays the stepwise decreasing temperah¢e at the top and center of the cavern during free <br />temperature or "cool down" cycling. <br />INTERPRETATION OF MODEL RESULTS <br />Temperature <br />Temperahire isotherm distributions are shown in Figure 7 for cavity temperatures of <br />350°F and 420°F. Isotherm plots are not provided for reduced pressure scenarios because <br />thermal properties are independent of cavity pressure in the model. We have assumed that the <br />cavity depressurization associated with the shape characterization study would be of short <br />duration and, hence, the temperatures in the cavern would not change during the test. <br />For the base model with a 350°F cavity temperature, the predicted 100°F isotherm ranges <br />from 38 [0 88 ft from the cavity boundary. For [he elevated-temperature case with a cavern <br />temperature of 420°F, the 100°F isotherm ranges from 40 to 90 ft from the cavity boundary <br />A comparison of the depth of yield plots in Figures 9 and 10 reveals that depth of yield <br />increases with increased temperature. Elevated temperatures induce thermal stresses and reduce <br />rock mass strength properties causing an increased zone of yielding. <br />Pressure <br />Figures 11 and 12 are compilations of yield depths into the roof and wall at various <br />cavern pressures and widths. Using these figures, [he predicted depth of yield into the roof and <br />wall can be obtained for any given cavern pressure and diameter within modeled ranges. <br />Figure 11 shows that reducing cavern pressure increases the depth of yield into the root. <br />Cavity pressure provides resistance against inward collapse of the cavity roof and walls. A <br />200-ft-diameter cavity with a temperature of 350°F is expected to yield about 62 ft into the roof <br />at 900 psi. The same cavity is expected to yield another 20 ft furdter into the roof at 100 psi. <br />While this represents a 32% increase in yield depth, the average crown thiciatess of 251 ft would <br />still have an uncompromised thickness of 188 and 168 ft for the respective cases. Even at a <br />temperature of 420°F and aloes-end pressure of 100 psi, a predicted 89 ft depth of yielding into <br />the roof would leave an intact crown pillar of 161 ft. <br />Figure 12 shows that reducing cavern pressure also increases the depth of yield into the <br />wall. A 200-ft-diameter cavity with a temperature of 350°F is expected to yield about 24 ft into <br />the wall at 900 psi. The same cavity is expected to yield another l0 ft fw-ther into the wal! at <br />100 psi. A predicted 34 ft depth of yielding into the wall would occur at a temperature of 420°F <br />and a pressure of 100 psi. <br />Agapito Associates, Inc. <br />