Supporting Documentation for - Streamline Technologies, Inc.

1 Supporting Documentation for PercPackTM A Groundwater - Surface water Interface for ICPR Prepared by Peter J. Singhofen, Streamline Technologies, Inc. 1900 Town Plaza Court Winter Springs, Florida 32708 407-679-1696 April, 2008 Copyright 2008, Streamline Technologies, Inc. All Rights Reserved This document may not be reproduced, copied, distributed or electronically transmitted without written permission from Streamline Technologies, Inc. Supporting Documentation for PercPackTM, A Groundwater Surface water Interface for ICPR 2008, Streamline Technologies, Inc.

2 TABLE OF CONTENTS Introduction ..1 Theoretical Basis ..5 Unsaturated Vertical Flow for Constant Surface Areas .. 5 Unsaturated Vertical Flow for Variable Surface Areas .. 7 Saturated Horizontal 9 Soil Storage Recovery and Aquifer Recharge ..13 Green-Ampt Method for Drainage Basins ..14 Exfiltration Trenches ..15 Filter Hydraulics ..16 Input Parameters for Green-Ampt Rainfall Excess Option.

3 19 Percolation Options and Input Parameters for Percolation Links ..23 Examples ..30 Slug Loads and Pollution Abatement Recovery ..30 Ditch in Close Proximity to a Multiple Ponds in Close Proximity ..43 Percolation from Base Flow Calculations ..56 Radius of Influence ..59 Exfiltration Trench Links.

4 63 Parameters Related to the Unconfined Aquifer ..64 Parameters Related to the Trench and Pipe ..65 Parameters Related to the Computational Framework ..66 Examples ..67 Exfiltration Trenches without Pipe Hydraulics ..70 Exfiltration Trenches with Pipe Hydraulics ..81 Filter Links ..89 Input Parameters ..90 Example ..91 References.

5 95 Supporting Documentation for PercPackTM, A Groundwater Surface water Interface for ICPR 2008, Streamline Technologies, Inc. APPENDICES Appendix A. Verification of the Modified Green-Ampt Method for Unsaturated Vertical Flow .. A-1 Appendix B. Verification of the Saturated Horizontal Flow Algorithm for Use with Exfiltration Trenches .. B-1 Appendix C. Verification of the Saturated Horizontal Flow Algorithm for Pond Draw Down Analysis.

6 C-1 Appendix D. Comparisons of ICPR with MODRET ( ) And PONDS ( ).. D-1 Input D-2 Comparison of Runoff Hydrographs .. D-8 Comparison of Infiltration D-10 Comparison of Stage Hydrographs .. D-17 Appendix E. A Refined Infiltration Method in ICPR .. E-1 Introduction ICPR, since its inception more than 25 years ago, has always been an unsteady state one-dimensional single event stormwater model.

7 Its mathematical framework is based on a link-node concept where stages are calculated at nodes through conservation of mass principles and flows are calculated for links based on stages at the nodes. Although it has always been possible to approximate percolation from ponds using rating curves, there was never a true groundwater - surface water interface in ICPR. Until now, other software programs such as PONDS and MODRET had to be used separately from ICPR in order to model the interaction between surface water and groundwater.

8 However, PONDS and MODRET are limited to a single pond and pond configurations must be idealized into equivalent rectangles in order to blend with the rectangular finite difference grid used for groundwater modeling. If multiple ponds are hydraulically connected on the surface and interdependent, then a tedious if not impossible task of iterating models is required. PercPackTM is an optional plug-in for ICPR and provides a true groundwater - surface water interface for interconnected ponds and other complex surface drainage systems.

9 The main focus of ICPR continues to be surface water modeling and although the new PercPackTM features are quite powerful, we wanted them to compliment the surface model rather than drive it. Our goals were to make the new groundwater algorithms technically rigorous, computationally robust and fast, flexible and capable of handling a wide range of problems. Yet, it was important that these new features fit easily into the mathematical framework of ICPR without unduly burdening the surface water algorithms.

10 Given the goals cited above, the main features of PercPackTM have been implemented in the form of three new link types: 1. Percolation Links 2. Exfiltration Trench Links 3. Filter Links (both side bank and bottom filters) Data forms for each of these new link types are accessed the same as all other links in ICPR as shown in Figure Figure Accessing the New Link Types in ICPR 2 Supporting Documentation for PercPackTM, A Groundwater Surface water Interface for ICPR 2008, Streamline Technologies, Inc.