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v. 10.2 GMS 10.2 Tutorial GMS support for native MODFLOW parameters, instances, and clusters Objectives Learn how to use some of the advanced features associated with MODFLOW parameters including instances and clusters. Define array-based parameters using clusters. Learn about parameter factors. Prerequisite Tutorials MODFLOW Automated Parameter Estimation Required Components Grid Module Inverse Modeling Map Module MODFLOW Time 25-40 minutes Page 1 of 15 Aquaveo 2016

1 Introduction... 2 1.1 Getting Started... 3 2 Importing the Project... 3 3 Creating a Recharge Parameter with a Cluster... 4 3.1 The Define Clusters Dialog... 5 3.2 Running MODFLOW... 7 4 Creating a Recharge Parameter with Multiple Clusters... 8 4.1 Running MODFLOW... 8 5 Creating a Transient Model... 9 5.1 Setting up the Stress Periods... 9 5.2 Editing the Specific Yield... 9 5.3 Editing the RCH Parameters... 10 5.4 Running MODFLOW... 10 6 Using Parameter Instances... 10 6.1 Running MODFLOW... 11 7 LPF Parameters... 11 7.1 Running MODFLOW... 12 8 Parameter Factors... 13 8.1 Editing Parameter Factors... 14 8.2 Running MODFLOW... 14 9 Conclusion... 15 1 Introduction This tutorial illustrates how to use some of the advanced features associated with MODFLOW parameters. This tutorial assumes an understanding of how to use the parameter estimation tools available in GMS. It is therefore recommended to complete the MODFLOW Automated Parameter Estimation tutorial before starting this tutorial. It is also important understand how to define array-based parameters using clusters and the concept of parameter instances. Learn more about these concepts by reading the MODFLOW documentation. The model in this tutorial is the same model featured in the MODFLOW Automated Parameter Estimation tutorial. For most cases, array-based parameters can be defined using the key value approach used in that tutorial. However, this approach is not completely compatible with the native MODFLOW parameter formats. MODFLOW array-based parameters are defined using clusters. A cluster is a multiplier array, a zone array, and an IZ value (key values associated with the zone array). The key value approach used in GMS usually creates an array-based parameter defined by a single cluster. MODFLOW supports parameters that are defined by multiple clusters and GMS supports this feature. In addition to clusters, MODFLOW also supports defining parameter instances for parameters associated with a transient MODFLOW model. This feature allows creating a single parameter, then associating multiple sets of clusters with instances of that parameter. This allows each instance to be specified with a stress period. To prevent confusion, this tutorial presents an example where RCH parameters are defined using clusters in a steady state model. The tutorial then changes the model to be transient and creates more than one instance for one of the recharge parameters. Page 2 of 15 Aquaveo 2016

This tutorial discusses and demonstrates opening a parameterized MODFLOW model and solution, defining RCH parameters using clusters, and then running MODFLOW. The model will be changed to be transient, the parameters will be changed to use instances, and MODFLOW will be run again. LPF parameters will be defined using clusters, MODFLOW will be run, the parameter factors will be adjusted, and MODFLOW will be run a final time. 1.1 Getting Started Do the following to get started: 1. If necessary, launch GMS. 2. If GMS is already running, select File New to ensure that the program settings are restored to their default state. 2 Importing the Project First, import the modeling project: 1. Click Open to bring up the Open dialog. 2. Select Project Files (*.gpr) from the Files of type drop-down. 3. Browse to the Tutorials\MODFLOW\advparam directory and select start.gpr. 4. Click Open to import the project and close the Open dialog. A MODFLOW model with a solution and map coverages should appear (Figure 1). Figure 1 The initial model Page 3 of 15 Aquaveo 2016

MODFLOW - Advanced Parameter Options In the Project Explorer, expand the 3D Grid Data folder and the grid item. Notice the seven datasets below the 3D Grid: HKZone1, HKZone2, Mult1, Mult2, RchZone1, RchZone2, and RchZone3. These datasets will be used to define the RCH and LPF parameters. 3 Creating a Recharge Parameter with a Cluster Now create a recharge parameter defined by a single cluster. Once that is done, run MODFLOW. 1. Select MODFLOW Parameters to open the Parameters dialog. 2. In the Parameters section, turn on Show all columns. 3. Click New to create a new parameter. 4. In the Name column, enter RCH_1. 5. In the Type column, select RCH from the drop-down. 6. In the Value column, enter 0.00005. 7. In the Use clusters column, check the box. 8. Enter 1 in the Num. Clusters (NCLU) column. 9. Enter 1 in the Num. Instances column. The dialog should appear as in Figure 2 at this point. 10. In the Define clusters column, click the button to bring up the Define Clusters dialog (Figure 3). Figure 2 Parameter instances dialog Page 4 of 15 Aquaveo 2016

3.1 The Define Clusters Dialog Clusters and parameter instances are defined in the Define Clusters dialog. Since this is a steady state model, the example has only one instance and one cluster, and only one editable row is available in the dialog (Figure 3). Figure 3 Define Clusters dialog with one instance and one cluster 1. Click Cancel to close the Define Clusters dialog. 2. Enter 2 in the Num. Clusters (NCLU) column. 3. Click the button in the Define clusters column to open the Define Clusters dialog. Notice that the spreadsheet now has two editable rows (Figure 4). Normally, two multiplier arrays, two zone arrays, and two IZ values need to be defined to successfully define the clusters. Figure 4 Define Clusters dialog with two clusters and one instance Page 5 of 15 Aquaveo 2016

MODFLOW - Advanced Parameter Options 4. Click Cancel to close the Define Clusters dialog. 5. Enter 2 in the Num. Instances column. 6. Click the button in the Define clusters column to open the Define Clusters dialog. The spreadsheet now has four editable rows (Figure 5). Normally, two clusters have to be defined for each instance. Notice that an instance name must be specified, and the stress periods where the instance is used must be defined. For a transient model with three stress periods, one of the instances could be used for stress periods 1 and 2, and the other instance could be used with stress period 3. If defining an RCH or EVT parameter using clusters and instances, it is necessary to make sure that at least one parameter instance is assigned to every stress period in the model. Figure 5 Define Clusters dialog with two clusters and two instances 7. Click Cancel to close the Define Clusters dialog. 8. Enter 1 in both the Num. Clusters and Num. Instances columns. 9. Click the button to bring up the Define Clusters dialog. 10. Enter RCH_1_1 for the Instance Name. Note that MODFLOW limits the length of an instance name to 10 characters. 11. Click the button in the Multiplier Array column to bring up the Select Dataset dialog. 12. Select Mult1 from the Solution section and click OK to close the Select Dataset dialog. 13. Click the button in the Zone Array column to open the Select Dataset dialog. 14. Select RchZone1 from the Solution section and click OK to close the Select Dataset dialog. 15. Enter 2 in the IZ column. Page 6 of 15 Aquaveo 2016

The IZ field is used to specify where the parameter is active in the MODFLOW grid. RchZone1 has values of 0 and 2. Specifying 2 as the IZ will cause the parameter to only be used when the zone array has a value of 2 when MODFLOW runs. 16. Enter 1 in the Stress Periods column and click OK to exit the Define Clusters dialog. 17. Click OK to exit the Parameters dialog. A parameter using clusters has now been defined. 3.2 Running MODFLOW Now save the project and run MODFLOW. 1. Select File Save As to bring up the Save As dialog. 2. Select Project Files (*.gpr) from the Save as type drop-down. 3. Enter run1.gpr as the File name and click Save to save the project under the new name and close the Save As dialog. 4. Select MODFLOW Run MODFLOW to bring up the MODFLOW model wrapper dialog. 5. Once MODFLOW is done running, turn on Read in the solution and Turn on contours (if not on already) and click Close to close the MODFLOW model wrapper dialog. The head contours from the MODFLOW solution should now be visible (Figure 6). Figure 6 Model with solution contours Page 7 of 15 Aquaveo 2016

MODFLOW - Advanced Parameter Options 4 Creating a Recharge Parameter with Multiple Clusters Create another recharge parameter defined by two clusters before running MODFLOW again. 1. Select MODFLOW Parameters to open the Parameters dialog. 2. Turn on Show all columns at the top. 3. Click New to add a new row in the spreadsheet above the New button. 4. In the Name column on the new row, enter RCH_2. 5. In the Type column, select RCH from the drop-down. 6. In the Value column, enter 0.00004. 7. Check the box in the Use clusters column. 8. Enter 2 in the Num. Clusters column. 9. Enter 1 in the Num. Instances column. 10. Click the button in the Define clusters column to open the Define Clusters dialog. 11. Enter the values for the clusters as shown in the table below. Only the selected dataset names are shown for the Multiplier and Zone Array columns below, but it is necessary to use the button to select the datasets so the full path to the datasets is displayed. The IZ values should be separated by spaces. Inst. Id Instance Name Multiplier Array Zone Array IZ Stress Per. 1 RCH_2_1 Mult2 RchZone2 4 5 3 1 1 Mult2 RchZone3 6 7 12. When finished, click OK to exit the Define Clusters dialog. 13. Click OK to exit the Parameters dialog. Since two RCH parameters are defined for stress period 1, the final value of the recharge rate will be the sum of the two parameters. MODFLOW computes this internally. 4.1 Running MODFLOW Now save the project and run MODFLOW. 1. Select File Save As to bring up the Save As dialog. 2. Select Project Files (*.gpr) from the Save as type drop-down. 3. Enter run2.gpr as the File name and click Save to save the project under the new name and close the Save As dialog. Page 8 of 15 Aquaveo 2016

4. Select MODFLOW Run MODFLOW to bring up the MODFLOW model wrapper dialog. 5. Once MODFLOW is done running, turn on Read solution on exit and Turn on contours (if not on already). 6. Click Close to exit the MODFLOW model wrapper dialog. The contours will have changed slightly. Switch between the run1 (MODFLOW) and run2 (MODFLOW) solutions to see the difference. 5 Creating a Transient Model In addition to defining parameters using clusters, parameter instances for transient models can be defined. 5.1 Setting up the Stress Periods Change the model to be transient and make three stress periods. 1. Select MODFLOW Global Options to open the MODFLOW Global/Basic Package dialog. 2. In the Model type section, change the option to Transient. 3. Click Stress Periods to open the Stress Periods dialog. 4. Enter 3 for the Number of stress periods. 5. Enter 1 in the Num Time Steps column on rows 1-3. 6. Click OK to exit the Stress Periods dialog. 7. Select OK to exit the MODFLOW Global/Basic Package dialog. 5.2 Editing the Specific Yield Since this is an unconfined model, edit the specific yield value in the LPF package. 1. Select the Select Cells tool. 2. Select Edit Select All to select all of the cells in layer 1 of the grid. 3. Select Edit Properties to open the 3D Grid Cell Properties dialog. 4. Enter 0.01 in the Value column of the Specific yield row. 5. Select OK to exit the 3D Grid Cell Properties dialog. Page 9 of 15 Aquaveo 2016

MODFLOW - Advanced Parameter Options 5.3 Editing the RCH Parameters Now update the parameters to be compatible with the stress periods. 1. Select MODFLOW Parameters command. 2. Click the button in the Define clusters column of the RCH_1 row to bring up the Define Clusters dialog. 3. Enter 1 2 3 (numbers separated by spaces) in the Stress Periods column. 4. Click OK to exit the Define Clusters dialog. 5. Repeat steps 2-4 for the RCH_2 row. 6. Click OK to exit the Parameters dialog. 5.4 Running MODFLOW Now save the project and run MODFLOW. 1. Select File Save As to bring up the Save As dialog. 2. Select Project Files (*.gpr) from the Save as type drop-down. 3. Enter run3.gpr as the File name and click Save to close the Save As dialog. 4. Select MODFLOW Run MODFLOW to bring up the MODFLOW model wrapper dialog. 5. Once MODFLOW is done running, turn on Read solution on exit and Turn on contours (if not on already). 6. Click Close to close the MODFLOW model wrapper dialog. There should be no visible change in the model shown in the Graphics Window. 6 Using Parameter Instances Change one of the recharge parameters to use instances. 1. Select MODFLOW Parameters to open the Parameters dialog. 2. For the RCH_1 parameter, change the Num. Instances to be 2. 3. Click the button in the Define clusters column on the RCH_1 row to open the Define Clusters dialog. 4. Enter 1 3 (make sure to place a space between the numbers) in the Stress Periods column on row 1 (Instance Name of RCH_1_1 ). Page 10 of 15 Aquaveo 2016

5. On row 2, enter RCH_1_2 in the Instance Name column. 6. Click the button in the Multiplier Array column to bring up the Select Dataset dialog. 7. Select the Mult2 dataset in the Solution section and click OK to close the Select Dataset dialog. 8. Click the button in the Zone Array column to bring up the Select Dataset dialog. 9. Select the RchZone1 dataset in the Solution section and click OK to close the Select Dataset dialog. 10. Enter 2 in the IZ column. 11. Enter 2 in the Stress Periods column. 12. Select OK to exit the Define Clusters dialog. 13. Select OK to exit the Parameters dialog. 6.1 Running MODFLOW Now save the project and run MODFLOW. 1. Select File Save As to bring up the Save As dialog. 2. Select Project Files (*.gpr) from the Save as type drop-down. 3. Enter run4.gpr as the File name and click Save to close the Save As dialog. 4. Select MODFLOW Run MODFLOW to bring up the MODFLOW model wrapper dialog. 5. Once MODFLOW is done running, turn on Read solution on exit and Turn on contours (if not on already). 6. Click Close to exit the MODFLOW model wrapper dialog. There should be no visible changes to the model in the Graphics Window. 7 LPF Parameters GMS supports parameters with the LPF and HUF packages. The LPF package is being used in this tutorial, with horizontal conductivity changed to use parameters. When entering parameters for the LPF package, a layer number is used in place of an instance name. 1. Select MODFLOW Parameters to open the Parameters dialog. Page 11 of 15 Aquaveo 2016

MODFLOW - Advanced Parameter Options 2. Turn on Show all columns. 3. Click New to add a third parameter entry to the spreadsheet. 4. On the third row, enter HK_1 in the Name column. 5. Select HK from the Type column drop-down. 6. Enter 0.67 in the Value column. 7. Check the box in the Use clusters column. 8. Enter 2 in the Num. Clusters column. 9. Click the button in the Define clusters column to open the Define Clusters dialog. 10. Enter the values for the cluster shown in the table below Note that the numbers in the IZ column have a space between them. Layer Multiplier Array Zone Array IZ 1 Mult1 HKZone1 1 2 2 Mult1 HKZone1 1 2 11. Click New to add a fourth parameter entry to the spreadsheet. 12. Repeat steps 4 8 for the fourth entry with the following values: a Name of HK_2, a Type of HK, and a Value of 0.15 13. Click the button in the Define clusters column to open the Define Clusters dialog. 14. Enter the values for the cluster shown in the table below. Layer Multiplier Array Zone Array IZ 1 Mult1 HKZone2 3 4 2 Mult1 HKZone2 3 4 15. When finished, click OK to exit the Define Clusters dialog. 16. Click OK to exit the Parameters dialog. 7.1 Running MODFLOW Now save the project and run MODFLOW. 1. Select File Save As to bring up the Save As dialog. 2. Select Project Files (*.gpr) from the Save as type drop-down. 3. Enter run5.gpr as the File name. 4. Click Save to close the Save As dialog. Page 12 of 15 Aquaveo 2016

5. Select MODFLOW Run MODFLOW to bring up the MODFLOW model wrapper dialog. 6. Once MODFLOW is done running, turn on Read solution on exit and Turn on contours (if not on already). 7. Click Close to exit the MODFLOW model wrapper dialog. The run5 (MODFLOW) solution will show slight changes in the contour lines on the model (Figure 7). Switch back and forth between the five solutions to see the differences. Figure 7 The contours changed slightly after the fifth run 8 Parameter Factors The MODFLOW list-based packages (WEL, DRN, GHB, RIV, CHD, STR) allow parameter factors to be defined along with the parameters. For example, when creating a river boundary condition in GMS using the map module, GMS will store the length of the arc in the grid cell that is associated with each river boundary condition. Then if wanting to parameterize river conductance, the parameter can be conductance per unit length, and the parameter factor will be the length of the arc. The final conductance for a particular river boundary condition will be the product of the parameter value and the parameter factor. Because MODFLOW allows this parameter Page 13 of 15 Aquaveo 2016

MODFLOW - Advanced Parameter Options factor to vary per stress period, there can be multiple parameters stored for each grid cell (one for each stress period). Now create a parameter in the WEL package, then change the parameter factor on one of the stress periods. 1. Select MODFLOW Parameters to bring up the Parameters dialog. 2. Click New to create a fifth parameter. 3. Enter -15 in the Key column. 4. Select WELL from the drop-down in the Type column. 5. Enter -15.0 in the Value column. 6. Click OK to exit the Parameters dialog. 8.1 Editing Parameter Factors By default, the parameter factors are 1.0 (which will have no effect on the final value that the parameter represents). Change the parameter factor for the second stress period for the parameter that was just created. 1. Select MODFLOW Optional Packages WEL Well to open the MODFLOW Well Package dialog. 2. Enter 2 in Stress period. 3. Turn off Use previous. 4. In the Q factor column of the spreadsheet for cell ID 1613, enter 10.0. This is the parameter factor. This causes the second stress period to have a pumping rate for this well that is 10.0 times greater (or -150.0 instead of -15.0 ). Q factor is only used by parameters. 5. Click OK to exit the MODFLOW Well Package dialog. 8.2 Running MODFLOW Now save the project and run MODFLOW. 1. Select File Save As to bring up the Save As dialog. 2. Select Project Files (*.gpr) from the Save as type drop-down. 3. Enter run6.gpr as the File name and click Save to close the Save As dialog. 4. Select MODFLOW Run MODFLOW to bring up the MODFLOW model wrapper dialog. Page 14 of 15 Aquaveo 2016

5. Once MODFLOW is done running, turn on Read solution on exit and Turn on contours (if not on already). 6. Click Close to close the MODFLOW model wrapper dialog. Notice the changes in the contours around the well on the left side of the model when switching to the second time step on the MODFLOW solution (Figure 8). Figure 8 The contours changed slightly after changing the parameters 9 Conclusion This concludes the MODFLOW Advanced Parameters Options tutorial. The following key concepts were discussed and demonstrated: Array-based parameters can be defined using clusters. Parameter instances can be defined for array-based parameters for transient models. Parameter factors can be defined for list-based packages in GMS. Page 15 of 15 Aquaveo 2016