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Milos M. Novotny and William E. Sanford <br />Table 1. <br />Location and physical characteristics of wells sampled; data in meters above mean sea level (MSL). <br />Table 2. <br />Land surface elevation of southern recharge zones (meters above MSL) used in model of atmospheric noble gases. <br />Standard Coefficient <br />Aquifer Mean Maximum Minimum Deviation of Variation <br />Denver 2,084 2,250 1,861 112 0.05 <br />Arapahoe 1,994 2,100 1,814 81 0.04 <br />Model of Recharge Temperature <br />Aeschbach -Hertig et al. (1999) have created a model <br />that takes into account the effects of temperature, eleva- <br />tion, salinity, and excess -air fractionation on atmospheric <br />noble gas concentrations. Measured values of Ne, Ar, Kr, <br />and Xe are used in the model to minimize an objective <br />function, essentially producing a statistical measure of the <br />"goodness -of -fit" of the data to the model. Novotny (2004) <br />provides a more detailed discussion of the application of <br />this model in the Denver Basin. <br />Salinity of recharging water often cannot be measured <br />and is assumed equal to zero; other researchers using simi- <br />lar methodology have assumed that this parameter is negli- <br />gible in waters with low salinity (e.g., Clark et al., 1998). <br />The assumption appears valid in this study area where <br />modern recharging water is closely tied to precipitation <br />and no significant sources of salinity exist. Concentrations <br />of two of the measured inert gases (helium and nitrogen) <br />were not used because it is suspected that there are signifi- <br />cant sources or modifications of these in the subsurface. <br />The mean elevations of the Arapahoe and Denver aquifer <br />recharge areas were estimated from digital elevation maps <br />to be approximately 2,000 and 2,075 in above MSL, respec- <br />tively (Table 2). With three known noble gas concentra- <br />tions (Ne, Ar, Kr) and two unknown parameters (recharge <br />The Rocky Mountain Association of Geologists 164 <br />temperature and excess air), the model equations are over - <br />determined and may be inverted. A statistical fit of the data <br />to the model is given by the objective function, x2. For the <br />equation with one degree of freedom, and having a x2 <br />value of 3.84, the probability that the unknown parameters <br />deviate from their true values because of errors in gas con- <br />centration analysis is less than 5 %. <br />RESULTS AND DISCUSSION <br />The results of the noble gas and 14C analyses are pre- <br />sented in Table 3• As expected, the majority of the gas <br />content is dissolved nitrogen. The 14C activity is highest in <br />the well located nearest the recharge areas and is lowest in <br />samples from the middle of the Basin. <br />Residence Times <br />Applying the assumptions and techniques outlined <br />above, the activity of 14C was used to determine the <br />apparent residence time of the waters at each location <br />(Table 3). The shortest residence time of 8,000 years was at <br />Donala (DON -04) in the Arapahoe aquifer, the location <br />nearest the outcrops and the highest potentiometric level. <br />Screen Interval <br />Surface <br />Top <br />Bottom <br />CO -DWR <br />PLSS Location <br />Datum <br />Depth <br />Depth <br />Sample <br />Aquifer <br />Permit <br />T.R.S.Q.Q <br />[m] <br />[m] <br />[m] <br />DON -04 <br />Arapahoe <br />16141 -F <br />11S.66W.31.NW.SW <br />2,103 <br />243 <br />359 <br />PIN -02 <br />Arapahoe <br />51782 -F <br />07S.65W.18.SE.NW <br />1,948 <br />538 <br />657 <br />PARK -01 <br />Arapahoe <br />50563 -F <br />06S.66W.15.NE.SW <br />1,787 <br />396 <br />518 <br />AUR -08 <br />Arapahoe <br />30326 -F <br />05S.65W.21.SE.NE <br />1,829 <br />378 <br />512 <br />PARK -03 <br />Denver <br />50562 -F <br />06S.66W.15.NE.NW <br />1,787 <br />235 <br />372 <br />AUR -07 <br />Denver <br />30323 -F <br />05S.65W.21.SW.NE <br />1,829 <br />121 <br />351 <br />Table 2. <br />Land surface elevation of southern recharge zones (meters above MSL) used in model of atmospheric noble gases. <br />Standard Coefficient <br />Aquifer Mean Maximum Minimum Deviation of Variation <br />Denver 2,084 2,250 1,861 112 0.05 <br />Arapahoe 1,994 2,100 1,814 81 0.04 <br />Model of Recharge Temperature <br />Aeschbach -Hertig et al. (1999) have created a model <br />that takes into account the effects of temperature, eleva- <br />tion, salinity, and excess -air fractionation on atmospheric <br />noble gas concentrations. Measured values of Ne, Ar, Kr, <br />and Xe are used in the model to minimize an objective <br />function, essentially producing a statistical measure of the <br />"goodness -of -fit" of the data to the model. Novotny (2004) <br />provides a more detailed discussion of the application of <br />this model in the Denver Basin. <br />Salinity of recharging water often cannot be measured <br />and is assumed equal to zero; other researchers using simi- <br />lar methodology have assumed that this parameter is negli- <br />gible in waters with low salinity (e.g., Clark et al., 1998). <br />The assumption appears valid in this study area where <br />modern recharging water is closely tied to precipitation <br />and no significant sources of salinity exist. Concentrations <br />of two of the measured inert gases (helium and nitrogen) <br />were not used because it is suspected that there are signifi- <br />cant sources or modifications of these in the subsurface. <br />The mean elevations of the Arapahoe and Denver aquifer <br />recharge areas were estimated from digital elevation maps <br />to be approximately 2,000 and 2,075 in above MSL, respec- <br />tively (Table 2). With three known noble gas concentra- <br />tions (Ne, Ar, Kr) and two unknown parameters (recharge <br />The Rocky Mountain Association of Geologists 164 <br />temperature and excess air), the model equations are over - <br />determined and may be inverted. A statistical fit of the data <br />to the model is given by the objective function, x2. For the <br />equation with one degree of freedom, and having a x2 <br />value of 3.84, the probability that the unknown parameters <br />deviate from their true values because of errors in gas con- <br />centration analysis is less than 5 %. <br />RESULTS AND DISCUSSION <br />The results of the noble gas and 14C analyses are pre- <br />sented in Table 3• As expected, the majority of the gas <br />content is dissolved nitrogen. The 14C activity is highest in <br />the well located nearest the recharge areas and is lowest in <br />samples from the middle of the Basin. <br />Residence Times <br />Applying the assumptions and techniques outlined <br />above, the activity of 14C was used to determine the <br />apparent residence time of the waters at each location <br />(Table 3). The shortest residence time of 8,000 years was at <br />Donala (DON -04) in the Arapahoe aquifer, the location <br />nearest the outcrops and the highest potentiometric level. <br />