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Mr. Max Ramey <br />June U, 2003 <br />Page 10 <br />Cavern Width <br />Depth of yield into the roof and walls increases as cavern width increases. As mentioned <br />previously, a mature cavern of 100 ft radius is expected to cause up to 89 tt of yielding into the <br />roof' and up to 34 ft of yielding into the wall. Even at a relatively low pressure of I00 psi, <br />modeling results suggest that with typical crown pillar thicknesses, cavern widths significantly in <br />excess of maturity should be stable. <br />Crown Thickness <br />While temperature, pressure, and diameter affect the extent of yielding around a cavity, <br />crown pillar thickness controls the depth of yielding a cavity can undergo and still maintain <br />stability. Figures 4 and 5 show the spatial distribution and frequency distribution of crown pillar <br />thickness for the existing wells. The crown pillar thickness should be considered in determining <br />if a well should be developed to maturity or if the well should be exposed to low pressures. <br />The crown pillar thickness for Well 29-24 is 269 ft. For an intact crown pillar of at least <br />100 ft, the results of the thermal-mechanical analysis indicate that Well 29-24 could be expanded <br />to over 300 ft in diameter, even with the cavern pressure reduced to 100 psi. <br />In the thermal-mechanical model, the depth of the cavern was less than that at <br />Well 29-24. The effect of the increased depth at Well 29-24 will be to increase the n2 srlu stress <br />in proportion to the increased depth. The yield in the roof above die cavern is a result of the <br />combination of the effects of the in siiai su~ess and the thermally induced stress, with the <br />thermally induced stress dominating. A small increase in depth is not expected to change the <br />extent of the yield in the roof. However, prior [o expansion of any cavern beyond 200 ft in <br />diameter or prior the depressurization of a particular well, site-specilic conditions should be <br />considered. <br />Pressure Cycling <br />Pressure cycling contributes to increases in yielding as depicted in Figure 13. Most <br />cycling-induced yielding ocew-s during the first one or two cycles, with diminishing affects <br />thereafter. If the rock mass strength diminishes with cycling then the depth of yield will increase <br />slightly. Yielding into the roof after the first depressurization cycle jumps fiom 82 to 90 ft after <br />an additional cycle for the base temperature case (350°F and 200 ft diameter). Subsequent <br />cycling (ten cycles) causes yielding to increase to 105 and 113 ft for fixed temperature and fixed <br />temperature with the reduced strength. The reduced su~ength scenario is valid after multiple <br />cycles, but is not realistic for three or less cycles. The estimates of yield for the fixed <br />temperahu~e case would be high if the cavern cools during cycling. <br />Similar results are seen for the hot temperature case where yield distances jump from 82 <br />to 90 ft and from 90 to 97 ft for free and fixed temperature situations, respectively, for the second <br />pressure cycle. A yielding depth of Ili ft is shown to occur after ten cycles in the hot <br />Agapito Associates, Inc. <br />