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<br />-- <br /> <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />. <br />, <br /> <br />Essentially all of the aquifer perimeter boundaries are assigned to a "No Flow" condition to <br />represent the fact that each of the aquifer units terminates around the basin boundaries. This <br />includes the "basement geology" for the model, in that the entire basin is underlain by over 4,000 <br />feet of low permeability materials associated with the Pierre shale. <br /> <br />· Aquifer Recharge Recharge is applied to the uppermost unit (uppermost active gridblock) <br />at each x,y location in the model. For this model, it was one of the parameters adjusted <br />during the calibration process. To begin, the same recharge distribution developed for the <br />SB-74 model was used, and overlay zones were utilized to locally adjust the recharge value <br />to improve model fit. Near the end of the transient calibration phase, some difficulty was <br />encountered in obtaining an optimal solution for both the steady-state model and the transient <br />model. In an effort to resolve this problem, an analytical solution was used for the finite- <br />difference form of the steady flow equation to compute the recharge for each upper-most grid <br />cell. This equation used as input the current best-fit hydraulic conductivity and vertical <br />conductance fields together with the interpolated pristine head fields for each layer (provided <br />in the SEO's SB-74 model). The recharge calculation procedure involved recursively solving <br />the equation (for the mass imbalance) one grid cell at a time beginning with the deepest layer, <br />which yielded an array of mass imbalances for each active grid cell in that layer. Next, the <br />array of mass imbalances was routed to the overlying layer where the procedure was <br />repeated. The algorithm continued up to the uppermost active grid cell, for which the mass <br />imbalance was the calculated recharge. The resulting calculated recharge field, with only <br />minor local adjustments, quickly led to our best-fit optimal solution (for both steady-state and <br />transient calibrations). The final best-fit values used in the South Metro model are described <br />in Section 3.2.2, Model Calibration. <br /> <br />. Alluvial aquifer - bedrock aquifer interface boundaries As in the SB-74 model, <br />interaction between the shallow alluvial aquifer with the underlying bedrock aquifers was <br />treated using the River Package. The MODFLOW River Package simulates surface water - <br />ground water interaction by specifYing a constant head representative of the river's water <br />surface elevation and computes flows between the river and underlying ground water system <br />as the head difference (river head minus gridblock head) times a streambed conductance. <br />Conceptually, use of the River Package to simulate the alluvial aquifer means that heads in <br />the alluvial aquifer are generally unaffected by transfer of water with the underlying bedrock <br />system. For alluvial aquifers characterized by large saturated thicknesses (compared to <br />typical head variability over the simulation period) and relatively small streambed <br />conductance values, this is probably a reasonable way to treat these interactions. Again, <br />simulations were started using the SB-74 values for the alluvial aquifer heads and streambed <br />conductances, and the streambed conductance values subsequently were adjusted during the <br />model calibration period to improve model fit to observations (Section 3.2.2). As in the SB- <br />74 model, a separate streambed conductance value was used for each model layer. <br /> <br />3.2.1.4 Internal Boundary Conditions: Aquifer Stress - Pumping with Time - In ground <br />water modeling, there is a tendency to assume the uncertainty in the model is associated with <br />uncertainties in the hydrological parameters of the geologic media, especially the transmissivity. <br />However, in most models the magnitude of the stress and the nature of boundaries have more <br />impact on the results than the uncertainty in the parameters. For example, in most instances there <br /> <br />Page 3-9 <br />