Simultaneous Solution of Coupled

Surface Water / Groundwater Flow Systems

Mr. Orhan Gunduz and Dr. Mustafa M. Aral

Multimedia Environmental Simulations Laboratory

School of Civil and Environmental Engineering

Georgia Institute of Technology

Atlanta, GA 30332

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ABSTRACT

The use of coupled models of hydrologic analysis, which includes more than one component of the hydrologic cycle, is a common occurrence. Coupled models tend to be more complex and their solution may suffer numerical complications. In this study, we present a coupled hydrological model to simulate the interaction between stream flow and groundwater flow. A one-dimensional stream flow model using the complete form of the St. Venant equation is coupled with a two-dimensional vertically averaged groundwater flow equation in an unconfined aquifer. The governing equations of the two different hydrological domains are linked with the recharge term at the river bed. The resulting coupled mathematical model is solved simultaneously by linking the two hydrologic system matrices in a global matrix. The proposed simultaneous solution approach provides a more efficient solution for the coupled flow problem and is superior to the approximate solution obtained through an iterative approach.

Table of Contents

• Title: Simultaneous Solution of Coupled Surface Water / Groundwater Flow Systems

• Coupled Hydrological Modeling: Highlights

• Coupled Hydrological Modeling: Proposed Study

• Objectives

• Stream Flow Model: Governing Equations

• Stream Flow Model: Auxiliary Equations

• Stream Flow Model: Initial and Boundary Conditions

• Groundwater Flow Model: Governing Equation

• Groundwater Flow Model: Initial and Boundary Conditions

• Coupling Over the Interface

• Coupling Over the Interface: Scenario 1

• Coupling Over the Interface: Scenarios 2 and 3

• Discretization of Domain

• Numerical Solution of Stream Flow Model

• Numerical Solution of Groundwater Flow Model

• Global Matrix Equation - 1

• Global Matrix Equation - 2

• Application: Physical Setup

• Application: Numerical Discretization

• Application: Simulation Runs

• Application: Initial and Boundary Conditions - Stream flow model

• Application: Initial and Boundary Conditions - Groundwater flow model

• Run-1 Results

• Run-1 Results

• Run-2 Results

• Run-2 Results

• Conclusions and Future Work

• Schematic of Integrated Model

• Acknowledgements

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