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Development of a Preliminary Groundwater Flow Model for the Mahomet Valley Aquifer

Development of a Preliminary Groundwater Flow Model for the Mahomet Valley Aquifer. By: M. Heidari, A. Wehrmann, G. Roadcap, and S. Wilson December 2000. Geology-- location map for COGEOMAP. Iroquois Co. Vermilion Co. Ford Co. Champaign Co. McLean Co. Piatt Co. DeWitt Co. Macon Co.

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Development of a Preliminary Groundwater Flow Model for the Mahomet Valley Aquifer

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  1. Development of a Preliminary Groundwater Flow Model for the Mahomet Valley Aquifer By: M. Heidari, A. Wehrmann, G. Roadcap, and S. Wilson December 2000

  2. Geology--location map for COGEOMAP • Iroquois Co. • Vermilion Co. • Ford Co. • Champaign Co. • McLean Co. • Piatt Co. • DeWitt Co. • Macon Co. • Tazewell Co. • Logan Co. • Sangamon Co.

  3. Water Use--Long-term water-levels at a pumping center

  4. Location of the Mahomet Valley Aquifer

  5. Hydrogeology of the Mahomet Aquifer System Glasford aquifers Mahomet Sand aquifer North

  6. Geology--Hydrogeology

  7. Elevation of the top of the Mohomet Aquifer

  8. Elevation of the bottom of the Mahomet Aquifer

  9. Thickness of the Mahomet Aquifer [ft]

  10. Steady state hydraulic head in the Mahomet Aquifer [ft]

  11. Where: is the vector of the observed hydraulic head is the vector of parameters such as: and Pumpage (Q), Leakage (L), Recharge ( R), Hydraulic conductivity (K), Specific storage (Ss), and Boundary conditions (BC)

  12. Subject to:

  13. Adopted boundaries of the recharge zones in the Mahomet Aquifer

  14. Adopted coarse linear quadrilateral finite element mesh for the preliminary model

  15. Assumed constant head zones and river stage for the preliminary model

  16. Distribution of irrigation wells in the Mahomet Aquifer

  17. Adopted major pumping zones for the preliminary model

  18. Assumed recharge zones for the preliminary model. Zones 5, 6, 8, 9 and 10 are prior information zones.

  19. Assumed hydraulic conductivity zones for the preliminary mode and the values of hydraulic conductivity [ft/day] from pumping tests.

  20. Estimated mean hydraulic conductivities [ft/day] for the assumed zones by GPEM2

  21. Estimated mean recharge [in/yr] for the assumed zones by GPEM2

  22. Estimated mean water level [ft] for each stream stage zone by GPEM2

  23. Observed (blue) and simulated (red) hydraulic heads [ft]

  24. Contours of residual errors between observed and simulated hydraulic heads [ft]

  25. Plot of simulated hydraulic head versus observed head

  26. Histogram of residual errors

  27. Uncertainty analysis: Assuming homoscedasticity (constant variance of errors) and uncorrelated errors among parameters, sensitivity analysis and Student’s t-test may be used to calculate the confidence intervals of the estimated parameters.

  28. Plot of residual errors versus simulated hydraulic head

  29. Groundwater Management Models: 1. A model for least cost pumping from an existing well field. 2. A model for capacity expansion of a well field. 3. A model for safe yield groundwater management. 4. A model for containment of pollution in a contaminated aquifer. 5. An economically based model for water resources planning for a multi-basin and multi-component system.

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