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STIG PROJECT -- EVALUATION OF WATER FOR INJECTION -- 28 March 1994 9 <br /> Multiplier for Overall Concentration of Waste Water <br /> The sub-systems described above each operate to increase the concentration of their liquid <br /> input streams and the concentration in waste represents the average concentration effect of the <br /> sub-systems. Whether or not the final, mixed waste fluid is injectable depends jointly on the <br /> average concentration effect and on the concentrations in initial liquid. Since initial liquid <br /> concentrations are substantially variable (Figure 2, Table 1), it is useful to view the collection of <br /> sub-systems in a mechanical way.The objective is to derive a numerical factor which accounts for <br /> concentration effects that can be used irrespective of details about the initial liquid9. <br /> At nominal conditions, the ultrafilter yields different concentrations in product and waste, <br /> respectively about 0.92 and 1.3 times the concentration of input fluid10. The RO unit receives <br /> ultrafilter product and about 10 percentll of that dissolved load exits in the RO product stream. <br /> The net concentration multiplier 12 for the RO is 2.68. Cooling tower opearation is aimed at a <br /> concentration factor of 2.0 due entirely to evapo-concentration.Losses of dissolved materials from <br /> the tower water are considered negligible, so the concentration factor of 2.0 requires no <br /> modification 13. Boiler discharge, when at low rate, contributes negligibly to the volume and <br /> dissolved load of the waste mixture. During high-rate blowdown, it contributes a dilution effect. <br /> Its effective concentration multiplier 14 is approximately 0.0094. <br /> Applying those concentration factors to the corresponding liquid volume rates and <br /> summing, then dividing the result by the sum of volume rates yields the effective concentration <br /> multiplier (m) for the system. Equation (1) is explicit, wherein R, C, U, and B refer to volume <br /> rates of waste discharge from RO, cooling tower, ultrafilter and boiler, respectively. <br /> (2.68R + 2.00 + 1.3U + 0.0094B)/(R + C + U + B) = m (1) <br /> At nominal conditions,m= 1.86.For summer conditions C and U are smaller than nominal <br /> and this yields a larger multiplier,m=2.02.Descriptions of alternative flow rate combinations and <br /> resulting concentraton multipliers are shown in the legend of Figure 1. <br /> III. MINERAL SOLUBILITY ESTIMATES <br /> Applying eq. (1) to the average concentration of Si02 in input fluid yields 59.5(1.86) _ <br /> 110.7, a predicted average concentration in injectate.Silica is considered a critical component and <br /> evaluation of its potential for deposition is relatively simple. This is because the form which <br /> deposits is well known and the effect of other dissolved materials, normally electrically charged, <br /> do not appreciably interact with dissolved silica, which is mostly electrically neutral. <br /> Other mineral forms, involving ionic components, are potential deposits and descriptions <br /> of them are worthwhile.Evaluating complete water compositions for potential mineral depositions <br /> can be done by classical methods which allocate analyzed components among the many ionic and <br /> molecular forms that are significant to mineral saturation. Mathematical requirements involve <br /> solving several tens of simultaneous equations which can be practical by computerized methods. <br /> WATEQ4F15 was applied to the WSWPCF fluid based on the average concentrations, <br /> increased according to multipliers derived above and shown in Table 1. They represent the <br /> plausible range to expect in operation of STIG. WATEQ4F contains data for more than 600 <br /> DON MICHELS ASSOCIATES -Missoula,Montana USA <br />