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<br />10 <br /> <br /> <br />>- <br />u <br />6 <br />" <br />0- <br />u <br />.:: <br /> <br />60 <br />SO <br />40 <br />30 <br /> <br />20 <br />10 <br />o <br /> <br />N~O~~_~~~~~~_~~O~~ <br />~~~~~~~q900~NNM~~~ <br /> <br />Range of Error in Water Levels (meters) <br /> <br />Figure 6. FrequenC}' distribution of errors in model-simulated water <br />levels (simulated minus measured) for individual well locations in <br />1912,1982, and 1995. <br /> <br /> Table 1 <br />Average Observed and Simulated Salinity <br /> ill the Alluvial Aquifer <br /> O~s.eN~ 1J.IlM'I""....dS'ito\;,n\\) Si,m\ll.:ilt~d Salinity <br /> Salinil}' Spatially Spatially <br /> Arithmeticl WeightedJ,l Weightedl,l Percent <br />Date Average (mgIL) Merage (mgIL) Average (mgIL) Error <br />February 1972 2262 (25) 2177 (25) 2140(5541 -1.7 <br />F"ebru31')' 198.2 2269 (24) 2146 (24) 2370(554) 10.4 <br />February 1995 1779 (25) 1983 (25) 1770 (554) -10.7 <br />lSpatial1y weigh(~d average computed by the Thel~sell ml:thod .....llh all available data <br />forcachevem. <br />2Number In pareJUheses inwc;lles the number of sanlpleslt\ni\e-dlfference cells used In <br />th~ avo::raging procedure. <br /> <br /> <br />" <br /> <br />L_~Ch 1993 <br /> <br />1238,.. <br /> <br />Figure'. Measured and simulated water levels in the aUuvial aquifer, <br />February 1972, March 1985, and March 1993. Dark surface is shllU- <br />lated water table. Spheres are measured water le\'els for individual <br />weUs. 'Where the spheres intersect the dark surface, the calculated 3f1d <br />measured water levels are the same. <br /> <br />80 <br /> <br />.. ;", ~. . <br />" , ~ <br />simulated water I~vels. The frequency "d~~tribtition of errors in <br />the model-calculated water levels for the 12 individual wells is <br />shown in Figure 6. For 11 of tile 12 wells. the errors were relatively <br />small (0 m 10 1.2 m) and reasonably unbiased. Model simulations <br />for one of the 12 wells were consistently poor and under pre- <br />dicted, thus making the overall frequency distribution appear neg- <br />atively skewed (Figure 6). <br />The simulated water table at individual locations was in good <br />agreement with measured water levels at individual observation <br />wells through lime. Figure 7 shows three snapshots of simulaled ver- <br />sus measured water levels for the monlhs of Febmary 1972 (Figure <br />7a), March 1985 (Figure 7b), and March 1993 (Figure 7c). These <br />snapshots are representative of most months throughout the 24 <br />year simulation period. For most wells, there is no consistent bias <br />in the flow calibrations; simulated water levels fluctuate randomly <br />about measured elevations in Fi.gure 7. Small errors in simulated ver. <br />sus measured water levels at individual wells should not have a sig- <br />nificant effect on the calculated regional hydraulic gradients and <br />velocities, which are factors that strongly control solute transport. <br />Dissolved solids concentration data v.."ere measured in water <br />samples collected from 25 to 26 wells in Febmary of 197 I. 1972, <br />-12.82 :mcl199S An ~ttemRl~J1S_lDade to sample the ~arne wdLnet=-_ <br />work that was used throughout the study period. In several instances, <br />wells were destroyed or in a condition mai. prevented sampling. In <br />these instances, new wells that were located near the old wells were <br />sampled. The Febmary 1971 data were tile basis for defining ini- <br />tial conditions for the simulation. The simulated salinity (represented <br />as a spatially weighted average computed by the Theissen method) <br />was within 11 % of measured values for 1972, 1982. and 1995 <br />(Table I). A comparison of tile measured and simulated spatial dis- <br />tributions of salinity indicates that there is reasonably good agree- <br />ment between the general salinity patlerns with some exceplions <br />(Figure 8), In 1972 and 1982, a ridge of high salinity (>3000 <br />mgIL) existed in the middle of the area (Figure 8a and b). Although <br />this general pattern was well simulated, the model overestimated <br />salinity in some areas for 1982 (Figure 8b). The salinity was found <br />to vary substantially over a short distance in wells sampled during <br />the study period. This l,5 due \0 differences in pumping rates across <br />tbe study area, and temporal differences in the salinity of the water <br />leaking into the aquifer from the irrigation canaL The variabilily in <br />salinity over a shon distance and the relatively small number of wells <br />sampled (25 to 26) might aceOUn! for some of the discrepancy <br />between simulated and measured salinity in areas where the model <br />tended to overestimate. In Febmary 1995, measured salinity had <br />decreased substantially across the study area (Figure 8c). probably <br />in response to decreased ground water pumping and increased irri- <br />gation from surface waler sources. The February 1995 salinity <br />paltern was reasonably well simulated by the model (Figure 8e), <br />although the model tended to underestimate salinity at the individual <br />weU locations. The frequency distribution of the error in model-cal- <br />culated salinity for individual wells sampled in 1972. 1982, and 1995 <br />is shown in Figure 9. Although some of the errors are ratjJer large. <br />the errors are reasonably distributed about zero, which indicates rel- <br />atively unbiased estimates. Ba'ied on the results of the model cal- <br />ibration, the model satisfactorily reproduces hisloric spatial patterns <br />of ground water levels and salinity, although prediction errors for <br />some individual well locations are relatively large. Therefore, the <br />obvious strength of the model is to simulate general water level and <br />salinity trends or patterns, which is well suited to its intended use <br />in the srudy. <br />