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Summary of Results & Conclusions
Final Project Summary of Results & Conclusions
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2008 Project“ TRUTH” Hydraulic Conductivity Layer 1
PW2 discharge reduced To 0.90E8 ft3/year
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Layer 2
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Layer 3 All these complicated details may not matter. What matters is to capture the essential features of the system for the purposes of predicting the response to pumping and the movement of the contaminant particles.
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Recharge rates Extinction depths = 10, 30 ft Leakance = 4 ft/yr
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PW2. Dry cell. Reduce pumping rate from -0.99E8 ft3/year to -0.90E8 ft3/year
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PW1 doesn’t capture any particles.
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PW1 No cone of depression. PW1 doesn’t look like a sink and doesn’t capture particles.
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Particles by-pass PW1 and
exit in PW2. PW 2 All the particles exit in wells; none end up in the playa.
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All of the particles that enter in layer 1,
stay in layer 1.
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Predicted ARM > Calibrated ARM
Calibration Prediction Group ARM h ARM ET (x10e7) (at targets) 1 0.72 0.58 8.51 2 0.97 1.19 10.37 3 0.93 0.74 6.12 4* 2.76 6.84 *Dry cells. PW2 went dry. Predicted ARM > Calibrated ARM
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Calibration Prediction Group ARM h ARM ET (x10e7) (at targets) (at pumping wells)** 1 0.72 0.58 8.51 26.64 2 0.97 1.19 10.37 18.72 3 0.93 0.74 6.12 3.57 4* 2.76 6.84 6.50 *Dry cells. PW2 went dry. ** Doesn’t include PW2 since it is also a target. 1. Predicted ARM > Calibrated ARM Generally predicted ARM at non-target cells > predicted ARM at target cells
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724 Project Results ? A “good” calibration does not guarantee
Includes results from 2006 and 4 other years ? A “good” calibration does not guarantee an accurate prediction.
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Calibrated ARM of around 1.0 is a good calibration.
2006 Project Results Calibration Prediction Group ARM h ARM ET (x10e7) (at targets) (at pumping wells)* 1 1.16 0.20 2.87 5.02 2 0.80 0.52 1.81 2.27 3 1.18 0.47 2.73 12.77 4 2.39 0.784 0.76 5 2.07 1.13 1.61 2.61 6 0.96 0.45 2.13 2.90 7 0.92 0.956 8 0.50 0.604 3.70 2.71 9 0.054 0.0049 3.54 5.52 1. Predicted ARM > Calibrated ARM Predicted ARM at pumping wells > predicted ARM at targets *Does not include PW2 since it is also a target.
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Calibrated ARM of around 1.0 is a good calibration.
Prediction Group ARM h ARM ET (x10e7) (at targets) (at pumping wells)* 1 1.16 0.20 2.87 5.02 2 0.80 0.52 1.81 2.27 3 1.18 0.47 2.73 12.77 4 2.39 0.784 0.76 5 2.07 1.13 1.61 2.61 6 0.96 0.45 2.13 2.90 7 0.92 8 0.50 0.60 3.70 2.71 9 0.054 0.0049 3.54 5.52 1. Predicted ARM > Calibrated ARM Predicted ARM at pumping wells > predicted ARM at targets Predicted ARM at targets > predicted ARM at pumping wells
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2006 Project Results Despite the relatively poor calibration, groups
Prediction Group ARM h ARM ET (x10e7) (at targets) (at pumping wells)* 1 1.16 0.20 2.87 5.02 2 0.8 0.52 1.81 2.27 3 1.18 0.47 2.73 12.77 4 2.39 0.78 0.80 0.76 5 2.07 1.10 1.61 2.61 6 0.96 0.48 2.13 2.90 7 0.92 8 0.50 0.60 3.70 2.71 9 0.054 0.0049 3.54 5.52 Despite the relatively poor calibration, groups 4 and 5 managed to capture the essential features of the system for the purpose of the prediction.
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2008 Results Calibration Prediction Group ARM h ARM ET (x10e7) (at targets) (at pumping wells)** 1 0.72 0.58 8.51 26.64 2 0.97 1.19 10.37 18.72 3 0.93 0.74 6.12 3.57 4* 2.76 6.84 6.50 *Dry cells. PW2 went dry. ** Doesn’t include PW2 since it is also a target.
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2008 Particle Tracking
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2008 Results Particle Tracking Results
travel time (yr) & exit location Group P1 P2 P3 P4 P5 P6 P7 1 4507 PW2 2100 461,423 220 PW4 3956 playa 24,923 1395 2 719 253 2192 86 PW4 5874 540 2424 3 87,800 114,000 646,000 PW3 21,000PW4 200,000 PW5 147,000 595,000 4* 2810 (Playa*) 1870 5270 172 PW4 1111 2490 8750 Truth 20,940 PW2 18,887 PW2 15,366 PW3 217 PW4 651 PW4 20,187 PW2 574 6 hits or Luck? *PW2 went dry. PEST? Low porosity gives high velocity which yields short travel times.
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2006 Project Results Despite the relatively poor calibration, groups
Prediction Group ARM h ARM ET (x10e7) (at targets) (at pumping wells)* 1 1.16 0.20 2.87 5.02 2 0.8 0.52 1.81 2.27 3 1.18 0.47 2.73 12.77 4 2.39 0.78 0.80 0.76 5 2.07 1.10 1.61 2.61 6 0.96 0.48 2.13 2.90 7 0.92 8 0.50 0.60 3.70 2.71 9 0.054 0.0049 3.54 5.52 Despite the relatively poor calibration, groups 4 and 5 managed to capture the essential features of the system for the purpose of the prediction.
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Particle Tracking Results
2006 Project Results Particle Tracking Results travel time (yr) & exit location Group P1 P2 P3 P4 P5 P6 P7 1 5450 playa 2561 PW2 5060 playa 1098 PW4 401 PW4 1465 playa 1220 PW2 2 2120 PW2 606 PW2 709 playa 474 PW4 595 PW4 608 playa 310 PW3 3 5247 PW2 1088 PW2 1599 playa 361 PW4 510 PW4 2317 PW1 2243 playa 4 6601 playa 1226 PW2 592 playa 623 PW4 846 PW4 968 playa 1194 PW2 5 4548 playa 1660 PW2 1513 playa 1412 PW4 744 PW4 817 PW1 4410 playa 6 1.20E5 PW5 820 PW2 1.82 E4 PW5 587 PW4 576 PW4 1.19 E5 PW5 9990 PW5 7 4083 playa 1039 PW2 618 playa 647 PW4 629 PW4 908 playa 2484 PW2 8 2810 PW2 986 PW2 752 playa 659 PW4 577 PW4 359 PW1 502 PW3 9 546 PW1 534 PW2 1156 playa 402 PW4 1121 playa 91 PW1 1170 PW2 Truth 672 PW1 549 PW2 1.25 E5 playa 359 PW4 650 PW4 238 PW1 1712 playa 6 hits 5 hits
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2008 Results 3 0.93 6.12 3.57 6 hits or Luck? PEST? 0.74 20,940 PW2
Calibration Prediction Group ARM h ARM ET (x10e7) (at targets) (at pumping wells)** 3 0.93 0.74 6.12 3.57 Group P1 P2 P3 P4 P5 P6 P7 1 4507 PW2 2100 461,423 220 PW4 3956 playa 24,923 1395 2 719 253 2192 86 PW4 5874 540 2424 3 87,800 114,000 646,000 PW3 21,000PW4 200,000 PW5 147,000 595,000 4 2810 (Playa) 1870 5270 172 PW4 1111 2490 8750 Truth 20,940 PW2 18,887 PW2 15,366 PW3 217 PW4 651 PW4 20,187 PW2 574 6 hits or Luck? PEST? 2008 Results Group 3 managed to capture the essential features of the system for the best pumping prediction and the best prediction of particle exit points, but not travel times.
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Observations Generally predicted ARM at targets > Calibrated ARM
Generally, predicted ARM at pumping wells > Predicted ARM at nodes with targets Head predictions are more robust (consistent among different calibrated models) than transport (particle tracking) predictions.
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To use conventional inverse models/parameter estimation
models in calibration, you need to have a pretty good idea of zonation (of K, for example). (New version of PEST with pilot points does not need zonation as it works with continuous distribution of parameter values.) Also need to identify reasonable ranges for the calibration parameters.
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Calibration to Fluxes When recharge rate (R) is a calibration parameter, calibrating to fluxes can help in estimating K and/or R. R was not a calibration parameter in our problem.
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In this example, flux information helps calibrate K.
q = KI K = ? H1 H2
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or discharge information helps calibrate R.
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In our example, total recharge is known/assumed to be 7
In our example, total recharge is known/assumed to be 7.14E08 ft3/year and discharge = recharge. All water discharges to the playa. Calibration to ET merely fine tunes the discharge rates within the playa area. Calibration to ET does not help calibrate the heads and K values except in the immediate vicinity of the playa.
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Conclusions Calibrations are non-unique.
A good calibration (even if ARM = 0) does not ensure that the model will make good predictions. Field data are essential in constraining the model so that the model can capture the essential features of the system. Modelers need to maintain a healthy skepticism about their results. Need for an uncertainty analysis to accompany calibration results and predictions.
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