CONTAMINANT FATE AND TRANSPORT ANALYSIS IN SOIL-PLANT SYSTEMS A Thesis Presented to The Academic Faculty By Recep Kaya Goktas In Partial Fulfillment Of the Requirements for the Degree Doctor of Philosophy in Environmental Engineering Georgia Institute of Technology May 2011 CONTAMINANT FATE AND TRANSPORT ANALYSIS IN SOIL-PLANT SYSTEMS Approved by: Dr. Mustafa M. Aral, Advisor Dr. Marc Stieglitz School of Civil and Environmental School of Civil and Environmental Engineering Engineering Georgia Institute of Technology Georgia Institute of Technology Dr. Jiabao Guan Dr. Turgay Uzer School of Civil and Environmental School of Physics Engineering Georgia Institute of Technology Georgia Institute of Technology Dr. Wonyong Jang Date Approved: December 17, 2010 School of Civil and Environmental Engineering Georgia Institute of Technology ii Aileme iii ACKNOWLEDGEMENTS I would like to express my deepest gratitude to my advisor Dr. Mustafa M. Aral for his guidance, patience, understanding and support all throughout the study. I would like to send my sincere appreciation to Dr. Jiabao Guan and Dr. Wonyong Jang, who have been extremely helpful throughout the study as the members of the MESL group, as well as the members of the Ph.D. committee. I would also like to thank to the Ph.D. committee members Dr. Marc Stieglitz and Dr. Turgay Uzer for their very valuable comments and enlightening suggestions. I gratefully acknowledge the financial support from the Turkish Higher Education Council and Kocaeli University. I would like to send my special thanks to the past and present MESL members Dr. Elcin Kentel, Dr. Jinjun Wang, Dr. Sinem Gokgoz Kilic, Dr. Kijin Nam, Dr. Scott Rogers, Mr. Ilker T. Telci, Ms. Radhika Dhingra, Mr. Andi Zhang, Mr. Biao Chang, and Mr. Will Morgan for their professional support and friendship. I would also like to send my regards and love to my dear friends Ulas Tezel, Burcak Kaynak, Ayten Memmedova Telci, Deniz Telci, Akash Dixit, Kaya Demir, Bahar iv Ulukan, Zohre Kurt, Tjames Scott, and Ronda Patino, who have made my life in the U.S. much more meaningful than it could otherwise have been. The words fall short to express my gratitude to my family – my mother Cemile, my father Kadir, and my sister Demet – who have always been there with their endless love and support. v TABLE OF CONTENTS ACKNOWLEDGEMENTS ............................................................................................... iv LIST OF TABLES ............................................................................................................. ix LIST OF FIGURES ............................................................................................................ x SUMMARY .................................................................................................................... xvii CHAPTER 1: INTRODUCTION ...................................................................................... 1 1.1 Environmental Modeling and Plants ................................................................... 1 1.2 Environmental Modeling Approach Adopted in this Study ............................... 2 1.3 Scope of the Study .............................................................................................. 5 1.4 Thesis Organization ............................................................................................ 6 CHAPTER 2: BACKGROUND AND LITERATURE REVIEW .................................... 8 2.1 Multimedia Compartmental Models ................................................................... 8 2.2 Single Media Continuous Models ..................................................................... 13 2.3 Plant Pathway Modeling ................................................................................... 15 2.4 Plant Growth Modeling..................................................................................... 18 2.5 Hydrological Processes in Soil-Plant Systems ................................................. 22 2.5.1 Hydrological Process Models ................................................................... 22 2.5.2 Coupling the Hydrological Process Models ............................................. 29 2.6 Contaminant Fate and Transport Processes in Soil-Plant Systems ................... 34 2.6.1 Contaminant Fate and Transport Models .................................................. 34 2.6.2 Coupling the Contaminant Fate and Transport Models ............................ 36 CHAPTER 3: PLANT PATHWAY ................................................................................ 38 3.1 Plant Pathway Model ........................................................................................ 38 3.1.1 Mass Transfer Processes ........................................................................... 38 3.1.1.1 Atmospheric Deposition ....................................................................... 39 3.1.1.2 Diffusive Transfers between the Plant and the Atmosphere ................. 41 3.1.1.3 Transformation within the Plant ........................................................... 43 3.1.1.4 Washoff ................................................................................................. 43 3.1.1.5 Litterfall and Root Decay...................................................................... 44 3.1.1.6 Root Uptake .......................................................................................... 45 3.1.2 Mass Balance Equation ............................................................................. 46 3.2 Plant Life-Cycle Model..................................................................................... 47 3.2.1 The Leaf Area Index Simulation Model ................................................... 48 3.2.2 The Plant Biomass Model ......................................................................... 49 3.2.3 The Root Model ........................................................................................ 51 CHAPTER 4: FLOW AND TRANSPORT MODELS ................................................... 54 vi 4.1 Unsaturated Zone Soil-Water Flow Model ....................................................... 54 4.1.1 Model Development.................................................................................. 54 4.1.2 Model Testing ........................................................................................... 59 4.2 Vadose Zone Contaminant Transport Model .................................................... 66 4.2.1 Model Development.................................................................................. 66 4.2.2 Model Testing ........................................................................................... 71 4.3 Overland Flow Model ....................................................................................... 73 4.3.1 Model Development.................................................................................. 73 4.3.2 Model Testing ........................................................................................... 79 4.4 Overland Transport Model ................................................................................ 86 4.4.1 Model Development.................................................................................. 86 4.4.2 Model Testing ........................................................................................... 90 CHAPTER 5: INTEGRATED DYNAMIC MODELING OF THE SOIL-PLANT SYSTEM ........................................................................................................................... 97 5.1 Introduction ....................................................................................................... 97 5.2 Integrated Model Development ........................................................................ 98 5.2.1 Coupling the Unsaturated Zone Water Flow and the Plant Life-Cycle Models ................................................................................................................... 99 5.2.1.1 Ground Surface Boundary .................................................................... 99 5.2.1.2 Root Water Uptake ............................................................................. 105 5.2.2 Coupling the Vadose Zone Contaminant Transport and the Plant Pathway Models ................................................................................................................. 112 5.3 Model Application .......................................................................................... 114 5.3.1 Modeling Domain and the Model Parameters ........................................ 115 5.3.2 Description of Simulations ..................................................................... 121 5.3.3 Results and Discussion ........................................................................... 123 5.3.3.1 Plant Life-Cycle .................................................................................. 123 5.3.3.2 Soil-water Distribution........................................................................ 127 5.3.3.3 Contaminant Distribution in Soil ........................................................ 131 5.3.3.4 Plant Pathway...................................................................................... 135 5.3.3.5 Mass Balance Analysis ....................................................................... 137 5.3.3.6 Sensitivity Analysis ............................................................................ 142 5.4 Conclusion ...................................................................................................... 146 CHAPTER 6: INTEGRATED MODELING OF WATER FLOW IN A TERRESTRIAL SYSTEM ......................................................................................................................... 149 6.1 Introduction ..................................................................................................... 149 6.2 Integrated Model Development ...................................................................... 150 6.2.1 Coupling Overland Flow and Unsaturated Zone Soil-Water Flow Models . ................................................................................................................. 151 6.2.2 Incorporating the Subsurface Lateral Fluxes .......................................... 160 6.2.3 Effect of Plants on Overland Flow.......................................................... 161 6.3 Model Application .......................................................................................... 165 6.3.1 Modeling Domain and the Model Parameters ........................................ 165 6.3.2 Description of the Simulations................................................................ 171 vii 6.3.3 Results and Discussion ........................................................................... 172 6.3.3.1 Daily Simulations................................................................................ 173 6.3.3.2 Seasonal Simulations .......................................................................... 184 6.4 Conclusion ...................................................................................................... 195 CHAPTER 7: INTEGRATED MODELING OF CONTAMINANT FATE AND TRANSPORT IN A TERRESTRIAL SYSTEM ............................................................ 196 7.1 Introduction ..................................................................................................... 196 7.2 Integrated Model Development ...................................................................... 197 7.2.1 Coupling Overland Transport and Vadose Zone Transport Models ....... 198 7.2.2 Incorporating the Subsurface Lateral Fluxes .......................................... 210 7.3 Model Application .......................................................................................... 214 7.3.1 Modeling Domain and the Model Parameters ........................................ 214 7.3.2 Description of the Simulations................................................................ 215 7.3.3 Results and Discussion ........................................................................... 216 7.3.3.1 Daily Simulations................................................................................ 216 7.3.3.2 Seasonal Simulations .......................................................................... 227 7.4 Conclusion ...................................................................................................... 254 CHAPTER 8: CONCLUSIONS AND RECOMMENDATIONS ................................. 255 8.1 Conclusions ..................................................................................................... 255 8.2 Recommendations ........................................................................................... 257 APPENDIX A: SPATIAL DISCRETIZATION OF THE UNSATURATED FLOW MODEL .......................................................................................................................... 260 APPENDIX B: SPATIAL DISCRETIZATION OF THE VADOSE ZONE TRANSPORT MODEL .................................................................................................. 269 APPENDIX C: SPATIAL DISCRETIZATION OF THE OVERLAND FLOW MODEL ......................................................................................................................................... 281 APPENDIX D: SPATIAL DISCRETIZATION OF THE OVERLAND TRANSPORT MODEL .......................................................................................................................... 291 APPENDIX E: TIME INTEGRATION ........................................................................ 296 APPENDIX F: TIME INTEGRATION WITH PICARD ITERATION ....................... 299 REFERENCES ............................................................................................................... 302 viii LIST OF TABLES Table 3.1: Mass transfer processes considered in the resultant plant pathway model. ..... 46 Table 4.1: Test parameters used in the soil transport model comparison with the analytical solution. ............................................................................................................ 72 Table 4.2: Test parameters used in overland flow model comparison with 1D analytical solution. ............................................................................................................................. 80 Table 4.3: Test parameters used in the comparison of overland flow model performance with other numerical models for a 2D tilted V-catchment problem. ................................ 83 Table 4.4: Test parameters used in the comparison of the overland transport model with the analytical solution. ...................................................................................................... 90 Table 5.1: Soil types and their characteristics used in the applications (Wohling and Mailhol 2007).................................................................................................................. 115 Table 5.2: Weather data used in the simulations. ........................................................... 116 Table 5.3: Crop parameters (corn). (Mailhol et al. 1997; Wohling and Mailhol 2007) . 118 Table 5.4: Multimedia contaminant fate and transport model parameters. .................... 120 Table 5.5: Tabulated summary of the simulation set. ..................................................... 122 Table 6.1: Overland domain model parameters. ............................................................. 165 Table 6.2: The soil hydraulic parameters for a silt loam type soil (Vogel et al. 2001). . 167 Table 6.3: Crop parameters used in the simulations. ...................................................... 169 Table 6.4: Weather data used in the simulations. ........................................................... 170 Table 6.5: The comparison of the two types of irrigation methods applied. .................. 171 ix LIST OF FIGURES Figure 3.1: Plant pathway mass transfer processes considered in this study. ................... 39 Figure 4.1: Spatial discretization of the soil column. (j: cell numberD; DDDz: thickness of cell j j; q : water flux from cell j-1 to cell j)........................................................................... 56 j-1/2 Figure 4.2: The modeling domain and the initial (I.C) and boundary (B.C.) conditions for the example problem of Lehman and Ackerer (1998). ..................................................... 59 Figure 4.3: Comparison of the results obtained by this study and the results of Lehman and Ackerer (Lehmann and Ackerer 1998). ..................................................................... 61 Figure 4.4: Steady-state soil-water pressure head profiles in layered soil (loam over sand) with a constant infiltration rate of 0.5 cm/day. (Comparison with the test in Vanderborght et al. (2005)) ...................................................................................................................... 63 Figure 4.5: Steady-state soil-water pressure head profiles in layered soil (sand over loam) with a constant infiltration rate of 0.5 cm/day. (Comparison with the test in Vanderborght et al. (2005)) ...................................................................................................................... 64 Figure 4.6: Steady-state soil-water pressure head profiles in layered soil (clay over sand) with a constant infiltration rate of 0.5 cm/day. (Comparison with the test in Vanderborght et al. (2005)) ...................................................................................................................... 64 Figure 4.7: Steady-state soil-water pressure head profiles with a constant evaporation rate of 0.5 cm/day. (Comparison with the test in Vanderborght et al. (2005)) ........................ 65 Figure 4.8: Soil transport model comparison with the analytical solution. ...................... 72 Figure 4.9: The overland flow modeling domain, cells and the grids. ............................. 78 Figure 4.10: Overland flow model comparison with 1D analytical solution. ................... 81 Figure 4.11: The profile of the 2D tilted V-catchment used in the overland flow model testing. ............................................................................................................................... 82 Figure 4.12: Overland flow model results for the 2D V-catchment problem compared with the other numerical models. (Case a: zero depth-gradient boundary condition at the outlet) ................................................................................................................................ 84 Figure 4.13: Overland flow model results for the 2D V-catchment problem compared with the other numerical models. (Case b: critical depth boundary condition at the outlet) ........................................................................................................................................... 85 x
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