EVALUATION OF EROSION AND SEDIMENT CONTROL BEST MANAGEMENT PRACTICES: USE OF SILT FENCE TIEBACK SYSTEMS AND ANIONIC POLYACRYLAMIDE ON HIGHWAY CONSTRUCTION SITES Except where reference is made to the work of others, the work described in this thesis is my own or was done in collaboration with my advisory committee. This thesis does not include propriety or classified information. ___________________________________ Justin Scott McDonald Certificate of Approval: ______________________________ ______________________________ T. Prabhakar Clement, Co-Chair Wesley C. Zech, Co-Chair Associate Professor Assistant Professor Civil Engineering Civil Engineering ______________________________ ______________________________ Puneet Srivastava Joe F. Pittman Assistant Professor Interim Dean Biosystems Engineering Graduate School EVALUATION OF EROSION AND SEDIMENT CONTROL BEST MANAGEMENT PRACTICES: USE OF SILT FENCE TIEBACK SYSTEMS AND ANIONIC POLYACRYLAMIDE ON HIGHWAY CONSTRUCTION SITES Justin Scott McDonald A Thesis Submitted to the Graduate Faculty of Auburn University in Partial Fulfillment of the Requirements for the Degree of Master of Science Auburn, Alabama August 4, 2007 iii EVALUATION OF EROSION AND SEDIMENT CONTROL BEST MANAGEMENT PRACTICES: USE OF SILT FENCE TIEBACK SYSTEMS AND ANIONIC POLYACRYLAMIDE ON HIGHWAY CONSTRUCTION SITES Justin Scott McDonald Permission is granted to Auburn University to make copies of this thesis at its discretion, upon request of individuals or institutions and at their expense. The author reserves all publication rights. ______________________________ Signature of Author ______________________________ Date of Graduation iv VITA Justin Scott McDonald, son of Ronald J. McDonald and Debra B. Bradshaw, was born on October 25, 1982, in Mobile, AL. He graduated high school from Mobile Christian School in Mobile, AL in 2000. After graduating, he attended Auburn University in Auburn, AL and graduated with a Bachelor of Civil Engineering degree in December of 2005. In January 2006, he entered the Graduate School at Auburn University to pursue a Master of Science in Civil Engineering. He was married to Kimberly R. Price on June 3, 2006. v THESIS ABSTRACT EVALUATION OF EROSION AND SEDIMENT CONTROL BEST MANAGEMENT PRACTICES: USE OF SILT FENCE TIEBACK SYSTEMS AND ANIONIC POLYACRYLAMIDE ON HIGHWAY CONSTRUCTION SITES Justin Scott McDonald Master of Science in Civil Engineering, August 4, 2007 (B.C.E, Auburn University, 2005) 141 Typed Pages Directed by Wesley C. Zech and T. Prabhakar Clement Every year the construction process exposes millions of acres of earth to the elements of wind, rain, and snow. This greatly increases the potential for erosion; therefore, the need for efficient erosion and sediment control practices is a high priority. In this research, silt fence tieback (a.k.a. ?j-hook?) systems and anionic polyacrylamide (PAM) were investigated to determine their effectiveness as erosion and sediment control technologies. In the first phase of this research effort, a computational design procedure used to determine the storage capacity of silt fence tieback systems was outlined and a Visual Basic (VBA) coded spreadsheet design tool was developed to assist practitioners in the proper design of silt fence tieback systems. This tool was then used to design a silt fence tieback system on an Alabama Department of Transportation (ALDOT) job site and vi the performance was monitored over multiple rainfall events. The results from this phase of the study show that the silt fence tiebacks were very effective at containing transported sediment from their contributing drainage areas and preventing erosion from occurring along the toe of the fence. In the second phase of the research effort, intermediate-scale experiments were performed to determine the effectiveness of dry granular anionic polyacrylamide (PAM) as an erosion control BMP. Three experimental scenarios were evaluated which included a bare untreated soil (control experiment) and PAM treated soil at application rates of 20 and 40 lb/ac. We also investigated whether PAM, when used as an erosion control BMP, provided sediment control benefits by decreasing the settling time of suspended solids in the surface runoff. The results from this phase of the research show that PAM applied at 40 lb/ac effectively reduced erosion and the settling time of suspended solids in the surface runoff. PAM applied at 20 lb/ac, on the other hand, provided little erosion control benefits but did reduce the settling time of suspended solids in most instances. vii ACKNOWLEDGEMENTS The author would like to extend a special thanks to Dr. Wesley C. Zech and Dr. T Prabhakar Clement for their time and guidance throughout this research effort. The author would also like to thank the Alabama Department of Transportation (ALDOT) for funding the project, the Auburn University Civil Engineering Department for their financial support, Mr. Steven Iwinski of Applied Polymer Systems, Inc. for supplying the polymers used in the research, and Mr. Joel Horton, Mr. David Graham, Mr. Elliot Smith, and Mr. John Gunter for their help in preparing and performing multiple experiments during this research. Finally, the author would like to especially thank his wife, Kimberly P. McDonald, for her love and support throughout the entire graduate school process. viii Style manual or journal used Auburn University Graduate School Guide to Preparation of Master?s Thesis Computer software used Microsoft Word 2003, Microsoft Excel 2003, Microsoft PowerPoint 2003 and MicroStation v8 ix TABLE OF CONTENTS LIST OF TABLES ??????????????????????????..... xi LIST OF FIGURES ??????????????????????????.. xii CHAPTER ONE INTRODUCTION 1.1 BACKGROUND ................................................................................................ 1 1.2 THE EROSION PROCESS ................................................................................ 2 1.3 BEST MANAGEMENT PRACTICES (BMPs)................................................. 3 1.4 RESEARCH OBJECTIVES ............................................................................... 5 1.5 ORGANIZATION OF THESIS ......................................................................... 6 CHAPTER TWO DESIGN OF SILT FENCE TIEBACK SYSTEMS 2.1 INTRODUCTION .............................................................................................. 8 2.2 STORAGE CAPACITIES OF SILT FENCE TIEBACK SYSTEMS ............. 10 2.2.1 Maximum Storage Capacity Calculation Procedure................................. 12 2.2.2 Storage Capacities for More Frequent Tieback Configurations ............... 18 2.2.3 Sensitivity Analysis .................................................................................. 22 2.3 SILT FENCE TIEBACK CONFIGURATION DESIGN TOOL..................... 25 2.3.1 Stormwater Runoff Volume Component.................................................. 26 2.3.2 Silt Fence Storage Capacity Computation ................................................ 28 2.3.3 Case Study: Application of the Silt Fence Tieback Design Tool ............. 30 2.4 CONCLUSION................................................................................................. 45 CHAPTER THREE LITERATURE REVIEW: USE OF PAM AS AN EROSION AND SEDIMENT CONTROL BMP 3.1 INTRODUCTION ............................................................................................ 46 3.2 POLYMERS USED FOR EROSION AND SEDIMENT CONTROL............ 47 3.2.1 Variables to Consider when Selecting a Polymer..................................... 47 3.2.2 Applying Polymers ................................................................................... 50 3.2.3 Previous Research on the Effectiveness of Polymers............................... 51 3.3 SUMMARY...................................................................................................... 60 x CHAPTER FOUR INTERMEDIATE-SCALE EROSION CONTROL EXPERIMENTS USING PAM 4.1 INTRODUCTION ............................................................................................ 62 4.2 INTERMEDIATE-SCALE MODEL................................................................ 62 4.2.1 Soil Plot Design ........................................................................................ 65 4.2.2 Rainfall Simulator Design......................................................................... 68 4.3 EXPERIMENTAL DESIGN ............................................................................ 69 4.3.1 Polymer Selection ..................................................................................... 69 4.3.2 Soil Plot Preparation ................................................................................. 70 4.3.3 Rainfall Regimen Used for Testing .......................................................... 71 4.3.4 Data Collection Procedure ........................................................................ 72 4.4 RESULTS AND DISCUSSION....................................................................... 73 4.4.1 Cumulative Volume versus Time ............................................................. 74 4.4.2 Cumulative Surface Runoff Volume versus Time.................................... 77 4.4.3 Cumulative Soil Loss versus Time ........................................................... 80 4.4.4 Turbidity Results....................................................................................... 87 4.5 CONCLUSION................................................................................................. 97 CHAPTER FIVE CONCLUSIONS AND RECOMMENDATIONS 5.1 INTRODUCTION .......................................................................................... 100 5.2 SILT FENCE TIEBACK SYSTEMS ............................................................. 101 5.3 INTERMEDIATE-SCALE EROSION CONTROL EXPERIMENTS USING PAM................................................................................................................ 103 5.4 RECOMMENDED FURTHER RESEARCH ................................................ 105 5.4.1 Silt Fence Tieback Systems .................................................................... 105 5.4.2 PAM as an Erosion Control Technology................................................ 105 REFERENCES ???????????????????????????... 107 APPENDICES ???????????????????????????? 110 APPENDIX A ????????????????????????? 111 APPENDIX B ????????????????????????? 114 APPENDIX C ????????????????????????? 117 APPENDIX D ????????????????????????? 119 APPENDIX E ????????????????????????? 121 APPENDIX F ????????????????????????? 124 xi LIST OF TABLES Table 2.1 Test Site Characteristics................................................................................... 31 Table 2.2 Rainfall at Test Site.......................................................................................... 36 Table 4.1 Water Balance: Left Section............................................................................ 76 Table 4.2 Water Balance: Center Section........................................................................ 76 Table 4.3 Water Balance: Right Section.......................................................................... 77 Table 4.4 Surface Runoff Statistics: Three Soil Plots Combined.................................... 80 Table 4.5 Soil Loss Reduction for PAM Applied at 20 lb/ac. ......................................... 86 Table 4.6 Soil Loss Reduction for PAM Applied at 40 lb/ac. ......................................... 86 Table 4.7 Initial Turbidity................................................................................................ 97 Table 4.8 Turbidity After 15 Minutes of Settling Time................................................... 97 xii LIST OF FIGURES Figure 2.1 Silt Fence Tieback System ............................................................................... 9 Figure 2.2 Typical Silt Fence Tieback Section................................................................ 11 Figure 2.3 Total Storage Volume..................................................................................... 13 Figure 2.4 Volume Stored on Fill Slope (V 1 ). ................................................................. 13 Figure 2.5 Projection of V 1 in the x-y Plane.................................................................... 15 Figure 2.6 Maximum Storage Volume on Existing Ground (V 2 ).................................... 16 Figure 2.7 Storage Volume for Scenario 1. ..................................................................... 19 Figure 2.8 Storage Volume for Scenario 2. ..................................................................... 19 Figure 2.9 Modified Storage Volume on Existing Ground (V 2modified )............................ 20 Figure 2.10 Projection of Maximum and Modified Storage Volumes on Existing Ground (V 2 ).............................................................................................................. 20 Figure 2.11 Constant S 1 , S 2 and S 3 ; Varying L 1 ............................................................... 23 Figure 2.12 Constant L 1, S 2 and S 3 ; Varying S 1 . .............................................................. 24 Figure 2.13 Constant L 1, S 1 and S 3 ; Varying S 2 . .............................................................. 24 Figure 2.14 Constant L 1, S 1 and S 2 ; Varying S 3 . .............................................................. 25 Figure 2.15 Silt Fence Storage Capacity for Various Tieback Configurations. .............. 29 Figure 2.16 Experimental Test Site. ................................................................................ 31 Figure 2.17 Cross-Section of Field Test Site Roadway................................................... 32 xiii Figure 2.18 Silt Fence Design Tool Used for Test Site. .................................................. 33 Figure 2.19 Six Tieback Sections After First Three Rainfall Events. ............................. 37 Figure 2.20 Sedimentation Profile Along the Fence of the Tieback System................... 38 Figure 2.21 Six Tieback Sections After the Fourth Rainfall Event. ................................ 40 Figure 2.22 Upslope End of Linear Silt Fence w/ Little Sedimentation.......................... 41 Figure 2.23 Downslope End of Linear............................................................................. 41 Figure 2.24 Exposed Toe of Fence #1. ............................................................................ 42 Figure 2.25 Exposed Toe of Fence #2. ............................................................................ 42 Figure 2.26 Sedimentation Profile Along the Fence of the Linear System. .................... 42 Figure 2.27 Before Scour Hole at Downslope End of Linear Fence. .............................. 43 Figure 2.28 Scour Hole at Downslope End of Linear Fence. .......................................... 43 Figure 2.29 Upslope End of Linear Fence w/ Little Sedimentation After Fourth Storm. 44 Figure 2.30 Downslope End of Linear Fence w/ Heavy Sedimentation After Fourth Storm. .......................................................................................................... 44 Figure 2.31 Exposed Toe of Fence After Fourth Storm. ................................................. 44 Figure 2.32 Exposed Toe of Fence After Fourth Storm. ................................................. 44 Figure 3.1 Polymer Structures ......................................................................................... 49 Figure 4.1 Intermediate-Scale Model Designed by Halverson (2006). ........................... 63 Figure 4.2 Modified Intermediate-Scale Erosion Model. ................................................ 64 Figure 4.3 Intermediate-Scale Model After Installation of EPS Material. ...................... 66 Figure 4.4 Intermediate-Scale Model After Installation of Geotextile Filter Fabric. ...... 66 Figure 4.5 Intermediate-Scale Model After Installation of Silty Sand Material.............. 67 Figure 4.6 Cross-Section of Soil Plots............................................................................. 67 xiv Figure 4.7 Rainfall Simulator Configuration................................................................... 68 Figure 4.8 1/8HH-3.6SQ Fulljet Spray Nozzle........................................................... 69 Figure 4.9 F-405 Series In-Line Flow Meter................................................................... 69 Figure 4.10 705 Silt Stop Powder.................................................................................... 70 Figure 4.11 Collection Buckets for Surface Runoff. ....................................................... 72 Figure 4.12 Hayward Single-Length 1 Micron Filter Bags. ............................................ 72 Figure 4.13 Cumulative Volume vs. Time: Left Soil Plot............................................... 74 Figure 4.14 Cumulative Volume vs. Time: Center Soil Plot........................................... 75 Figure 4.15 Cumulative Volume vs. Time: Right Soil Plot............................................. 75 Figure 4.16 Cumulative Surface Runoff Volume vs. Time: Left Soil Plot. .................... 78 Figure 4.17 Cumulative Surface Runoff Volume vs. Time: Center Soil Plot. ................ 78 Figure 4.18 Cumulative Surface Runoff Volume vs. Time: Right Soil Plot. .................. 79 Figure 4.19 Cumulative Soil Loss vs. Time: Left Soil Plot............................................. 81 Figure 4.20 Cumulative Soil Loss vs. Time: Center Soil Plot......................................... 81 Figure 4.21 Cumulative Soil Loss vs. Time: Right Soil Plot........................................... 82 Figure 4.22 Average Cumulative Soil Loss vs. Time for all Three Soil Plots ................ 82 Figure 4.23 Soil Plots After Run 1................................................................................... 84 Figure 4.24 Soil Plots After Run 2................................................................................... 85 Figure 4.25 Soil Plots After Run 3................................................................................... 86 Figure 4.26 Turbidity of Surface Runoff vs. Time: Left Soil Plot. ................................. 87 Figure 4.27 Turbidity of Surface Runoff vs. Time: Center Soil Plot. ............................. 88 Figure 4.28 Turbidity of Surface Runoff vs. Time: Right Soil Plot. ............................... 88 Figure 4.29 Turbidity vs. Settling Time for Run 1 (1 min). ............................................ 90 xv Figure 4.30 Turbidity vs. Settling Time for Run 1 (5 min). ............................................ 90 Figure 4.31 Turbidity vs. Settling Time for Run 1 (10 min). .......................................... 91 Figure 4.32 Turbidity vs. Settling Time for Run 1 (15 min). .......................................... 91 Figure 4.33 Turbidity vs. Settling Time for Run 2 (1 min). ............................................ 92 Figure 4.34 Turbidity vs. Settling Time for Run 2 (5 min). ............................................ 92 Figure 4.35 Turbidity vs. Settling Time for Run 2 (10 min). .......................................... 93 Figure 4.36 Turbidity vs. Settling Time for Run 2 (15 min). .......................................... 93 Figure 4.37 Turbidity vs. Settling Time for Run 3 (1 min). ............................................ 94 Figure 4.38 Turbidity vs. Settling Time for Run 3 (5 min). ............................................ 94 Figure 4.39 Turbidity vs. Settling Time for Run 3 (10 min). .......................................... 95 Figure 4.40 Turbidity vs. Settling Time for Run 3 (15 min). .......................................... 95 1 CHAPTER ONE INTRODUCTION 1 1.1 BACKGROUND Nonpoint source pollution is a very important environmental issue facing our society today. Nonpoint source pollution can be defined as pollution that comes from a diffuse source and is driven by rainfall or snowmelt moving over or through the land. Some sources of nonpoint source pollution include sediment from improperly managed construction sites, oil, grease, and toxic chemicals from urban runoff, bacteria and nutrients from livestock, and faulty septic systems. In many U.S. states, nonpoint source pollution is the leading cause of water quality problems which affect drinking water, recreation, fisheries, and wildlife (U.S. EPA, 1994). One of the most widely recognized causes of nonpoint source pollution is the sediment load discharged from poorly managed construction sites. The construction process exposes bare earth to the elements of wind, rain, and snow which greatly increase the potential for erosion. If proper nonpoint source pollution abatement methods are not followed, eroded material from construction sites can end up in streams and other water bodies. It is estimated that in the U.S. alone, over 80 million tons of sediment are washed from construction sites into surface water bodies each year (Novotny, 2003). This 2 process can be devastating to the chemical, physical, and biological integrity of streams, rivers, lakes, and estuaries. Some of the environmental effects of erosion and sedimentation include loss of storage capacity of reservoirs, deterioration of fish spawning areas and habitat for other stream organisms, and increased nutrient loadings within streams (Novotny, 2003). With increasing growth and development throughout the world, the need to develop better methods for preventing erosion and controlling sediment on construction sites is a high priority. 1.2 THE EROSION PROCESS In order to establish a good understanding of the role that erosion plays in nonpoint source pollution, the basics of the erosion process will be outlined in this section. The erosion process can be defined as the wearing down the earth?s surface by the elements of wind, rain, and snow where sediment is detached, transported, and deposited downslope. This is a natural process but is often increased due to the high rate of construction occurring around the world. Factors influencing erosion include climate, topography, soil type, and vegetative cover (Alabama Soil and Water Conservation Committee, 2003a). Therefore, when construction processes expose bare earth by eliminating vegetative cover, soils become much more vulnerable to erosion than in their natural state. The erosion process is then greatly accelerated when a rainfall event occurs. According to the Alabama Soil and Water Conservation Committee, ?erosion accelerated by the disturbances of humans, through agricultural and non-agricultural uses of the land, has caused several inches of erosion over the last 100 to 150 years, a comparatively short period? (Alabama Soil and Water Conservation Committee, 2003a). 3 Though wind and snow induced erosion is an important consideration, water- related erosion from rainfall events is the largest problem in developing areas of Alabama (Alabama Soil and Water Conservation Committee, 2003a). During a rainfall event, erosion is caused by the detachment of soil particles due to the impact of rain droplets and the shear stress of surface runoff. Once the sediment is detached, it is transported downslope by overland flow and deposited into downstream water bodies. This sediment, which will eventually settle out of suspension as the velocity of the water decreases, greatly impairs the natural aquatic habitat of the receiving water bodies. Therefore, the need for good erosion and sediment control alternatives is critical for maintaining the health of the aquatic environment. 1.3 BEST MANAGEMENT PRACTICES (BMPs) Several types of best management practices (BMPs) are currently being used to minimize environmental damages caused by eroded sediment from construction sites. These BMPs include structural and nonstructural measures and can be classified by two basic categories. The first category of BMPs is used for surface stabilization to prevent the erosion process from occurring and the second category is used for sediment control to minimize the eroded sediment from leaving the construction site. Examples of surface stabilization BMPs listed by the Alabama Soil and Water Conservation Committee (2003a) include: i.) chemical stabilization, ii.) erosion control blankets (ECBs), iii.) groundskeeping, iv.) mulching, v.) permanent seeding, vi.) preservation of vegetation, vii.) retaining walls, viii.) shrub, vine, and groundcover plantings, ix.) sodding, x.) temporary seeding, and xi.) tree planting on disturbed areas. Examples of sediment 4 control BMPs listed by the Alabama Soil and Water Conservation Committee (2003a) include: i.) block and gravel inlet protection, ii.) brush/fabric barriers, iii.) excavated drop inlet protection, iv.) fabric drop inlet protection, v.) filter strips, vi.) floating turbidity barriers, vii.) rock filter dams, viii) sediment barriers / silt fence systems, ix.) sediment basins, x.) straw bale sediment traps, and xi.) temporary sediment traps. The BMPs listed above can be very effective in controlling nonpoint source pollution if designed and installed correctly and maintained regularly. In this research two of the abovementioned BMPs were evaluated to determine their effectiveness as erosion and sediment control technologies. The first BMP investigated was the sediment control measure known as a silt fence tieback (a.k.a. ?j- hook?) system. A silt fence tieback system is created by turning the downslope end of the linear silt fence back into the fill slope and extending the fence up the slope to an elevation higher than the top of the fence at the toe of the slope. This creates temporary detention basins that impound stormwater runoff during a rainfall event allowing suspended sediment to settle out of suspension. These systems were previously studied on an intermediate-scale model by Halverson (2006) and the results showed that a well designed silt fence tieback system can remove up to approximately 90% of the total suspended solids (TSS) transported in the surface runoff. The second BMP investigated in this research was the use of anionic polyacrylamide (PAM). PAM, which is considered a chemical stabilization BMP, is a negatively charged polymer chain that is applied to the soil surface to maintain the soil structure and prevent erosion. PAM also serves as a binding agent for soil particles that are detached during erosion. The flocculation of fine particles caused by the PAM allows 5 suspended sediment to settle out of suspension rapidly due to their increased particle size. This process suggests that PAM can not only serve as an erosion control BMP but also as a sediment control alternative if used in conjunction with other sediment control BMPs that impound surface runoff. 1.4 RESEARCH OBJECTIVES This research was divided into two components to evaluate and test two potential erosion and sediment control BMPs that are used in the highway construction industry. The first component developed a method to quantify the effectiveness of silt fence tieback (a.k.a. ?j-hook?) systems as a sediment control BMP. The second component focused primarily on the use of anionic PAM as a surface stabilization BMP to prevent erosion on highway construction sites. The effect of PAM as a sediment control BMP was also briefly investigated. The specific objectives of these two components are described in the following sections: Component 1: Silt Fence Tieback Systems 1. Develop a computational method to determine the storage capacity of a silt fence tieback system. 2. Develop a Visual Basic (VBA) coded spreadsheet design tool for practitioners to use in the construction industry that predicts the volume of stormwater runoff generated from a user specified rainfall event and provides design guidance for a tieback configuration to accommodate the generated stormwater runoff. 3. Use the tool to design a tieback system on a local construction project and evaluate its performance over time during a case study. 6 Component 2: Anionic Polyacrylamide (PAM) 1. Perform intermediate-scale physical experiments to determine the effectiveness of dry granular PAM applied to a typical 3H:1V slope for erosion control. 2. Determine whether PAM, when used for erosion control, can also provide sediment control benefits by decreasing the settling time of suspended solids in the surface runoff. 3. Provide recommendations for future erosion and/or sediment control testing using PAM. 1.5 ORGANIZATION OF THESIS This thesis is divided into five chapters which document the efforts taken to complete the objectives of this research. Following this chapter, Chapter 2: Design of Silt Fence Tieback Systems, is a continuation of the work performed by Halverson (2006). This chapter outlines the importance of determining the storage capacity of a silt fence tieback system and summarizes a computational procedure to do so. The chapter also describes the procedures used to develop a Visual Basic (VBA) coded spreadsheet design tool that can be used by practitioners to design silt fence tieback systems to accommodate a user specified rainfall event. Chapter 2 concludes by providing an actual case study where the design tool was used to determine a tieback configuration for an Alabama Department of Transportation (ALDOT) construction site. A linear silt fence system was also installed at this site and the performance of the two systems were compared over four rainfall events. Chapter 3: Literature Review: Use of PAM as an Erosion and Sediment Control BMP, introduces the application of anionic 7 polyacrylamide (PAM) as an erosion and sediment control alternative. Also discussed in this chapter are the important variables to consider when selecting a PAM product and previous research on PAM as an erosion and sediment control technology. Chapter 4: Intermediate-Scale Erosion Control Experiments Using PAM, outlines the development details of an intermediate-scale experimental model used for evaluating PAM as an erosion and sediment control technology, the experimental design used for the research, the data collection procedure, and the results from the experiments. Chapter 5: Conclusions and Recommendations, provides some insights on the use of PAM as an erosion and sediment control technology and recommendations for future research using PAM. 8 CHAPTER TWO DESIGN OF SILT FENCE TIEBACK SYSTEMS 2 2.1 INTRODUCTION The pollution of water bodies due to sediment transported from poorly managed construction sites is an important environmental problem. This transported sediment can dramatically alter or even destroy the aquatic habitat of the water bodies in which it is deposited. To address this issue, a common practice in the construction industry is the installation of silt fence systems. Silt fence systems are composed of a geotextile filter fabric that is sometimes supported by wire mesh and is fastened to either wooden or steel posts for structural support. Their primary purpose is to serve as a sediment barrier where sheet flow can be detained allowing sediment to settle out of suspension. These fences are usually installed around the perimeter of a construction site and often serve as the final barrier to capture sediment before leaving the site. Traditionally, silt fence systems are installed as long, linear sections, but recent research suggests that tying the fence back into the contour at intermittent intervals and creating small detention basins is actually a much more effective design (Barrett et. al., 1995; Robichaud et. al., 2001; Stevens et. al., 2004; Zech et. al., 2006). This silt fence tieback design, commonly referred to as ?j-hooks?, can be an effective solution to controlling nonpoint source pollution on highway construction sites if designed and installed correctly. A silt fence tieback system is created by turning the downslope end of the linear silt fence back into the fill slope and extending the fence up the slope to an elevation higher than the top of the fence at the toe of the slope. This prevents stormwater runoff from passing around the toe of the fence and forces it to flow through the fence at the bottom of the fill slope. These systems should only be used when there is runoff flow both down the fill slope and longitudinally in the direction of the road as shown in Figure 2.1. The figure illustrates a properly designed silt fence tieback system on a highway construction site. Halverson (2006) provided experimental data to describe the efficiency of this design. Figure 2.1 Silt Fence Tieback System 9 10 In this effort, we will outline an analytical method for determining the storage capacity of a silt fence tieback system and provide design guidance to practitioners in the proper design of a tieback system using a spreadsheet design tool. By using the computational procedures presented in this chapter, practitioners will be able to design silt fence tieback systems that will more effectively reduce sediment and other stormwater pollutant loads leaving highway construction sites. 2.2 STORAGE CAPACITIES OF SILT FENCE TIEBACK SYSTEMS When designing silt fence tiebacks, one of the most important factors to consider is the storage capacity of the system. This storage capacity is critical in determining an effective tieback design that can accommodate a design rainfall event. Important parameters that determine the storage capacity of a tieback system include the height of the fence above the existing ground (H 1 ), existing ground width (L 1 ), existing ground slope (S 1 ), road fill slope (S 2 ), ditch slope (S 3 ), and the linear length of fence between tiebacks (L FENCE ). Figure 2.2 shows one typical silt fence tieback section incorporating the parameters that are considered when designing a tieback system. During a rainfall event, the tieback section shown in Figure 2.2 serves as a temporary storage area to detain stormwater runoff. The temporary detention of stormwater runoff allows sediment and other transported pollutants to be retained on site due to particles settling out of suspension. This deposition process will lead to higher quality of water leaving the construction site since it contains less suspended sediment. Figure 2.2 Typical Silt Fence Tieback Section. 11 As illustrated in the figure, the storage capacity of the silt fence is a critical component that needs to be considered while designing an effective system. For a heavy rainfall event where the runoff volume exceeds the storage capacity behind the fence, the tieback system will experience an overtopping condition. This scenario can be result of improper tieback spacing, poor silt fence installation practices, or an unforeseen rainfall event exceeding the design storm. Therefore, the procedure for calculating the storage capacity of silt fence tieback systems is a critical design consideration and will be discussed in the following sections. First, the discussion will focus on the mathematical procedures used to determine the maximum storage capacity required for a specified rainfall event along with the associated tieback spacing for a silt fence tieback system to satisfy the stormwater demand. Next, the discussion will focus on an alternative design procedure developed to determine tieback storage capacities if the designer opts to install and configure the tiebacks more frequently where only a portion of the maximum storage 12 capacity is utilized. The goal of this research is to develop a comprehensive understanding of the design and performance of a silt fence tieback system. 2.2.1 Maximum Storage Capacity Calculation Procedure The maximum storage capacity and associated intermittent tieback spacing are critical parameters in the design of effective silt fence tieback systems. An ideal, cost effective system is one that uses the least amount of tiebacks required while still being capable of accommodating the stormwater runoff generated by the design rainfall event. The reasoning behind the ideal system is that it is assumed that the cost and work required for the installation of a silt fence tieback system increases as tieback frequency increases. Figure 2.1, mentioned previously, illustrates a silt fence tieback system configuration where the maximum storage capacity is utilized by each tieback. To determine the maximum storage capacity for a silt fence tieback, the available storage volume behind the fence was solved analytically. The available storage volume behind the fence was divided into two components consisting of: (1) the fill slope storage volume (V 1 ), and (2) the existing ground storage volume (V 2 ) as shown in Figure 2.3. The total available storage volume was then calculated by evaluating the two components separately and combining the results. The origin (0, 0, 0) was set at the existing ground on the downslope end of the silt fence installation as shown in Figure 2.3. Figure 2.3 Total Storage Volume. 2.2.1.1 Fill Slope Storage Volume (V 1 ) The first step in computing the volume stored on the fill slope (V 1 ) was to determine the equations for the four boundary planes (Planes 1-4) that define V 1 . The establishment of the defined coordinate system allowed Planes 1 through 3 to be easily determined. The volume V 1 along with points A, B, C, and D which define Planes 1 through 4 are shown in Figure 2.4. Figure 2.4 Volume Stored on Fill Slope (V 1 ). 13 The equations for Planes 1 through 3 are shown below as: ? Plane 1: x = 0; ? Plane 2: y = L 1 ; ? Plane 3: z = H 1 . The equation for the fourth plane of the system (Plane 4), which represents the fill slope, was not easy to define. The first step in determining the equation for Plane 4 was to determine the coordinates of nodes B, C, and D as shown below: ? B = (0, L 1 , L 1 S 1 ); ? C = (0, (H 1 ? L 1 S 1 ) / S 3 + L 1 , H 1 ); ? D = ([(H 1 ? L 1 S 1 ) / S 3 ], L 1 , H 1 ). The normal vector (n) to Plane 4 was then determined from the established points by taking the cross product of vectors BC JJJG and BD JJJG . The equation for the normal vector (n) is shown in equation 2.1 below. ckbjaiBDBCn ++=?= (2.1) where, () 111 111 2 HLS aH S ??? =? ?? ?? LS () 111 111 3 HLS bH S ??? =? ?? ?? LS 111 111 32 HLS HLS c SS ?????? =? ???? ???? 14 Using the normal vector (n) and point B, the scalar equation for Plane 4 was determined and is shown in equation 2.2. 0)()()0( 111 =?+?+? SLzcLybxa (2.2) Equation 2.2 was rewritten in terms of elevation (z) and is shown in equation 2.3. c cSLbLbyax z 111 ++?? = (2.3) With all of the boundary planes defined, the volume V 1 of the tetrahedron shown in Figure 2.4 was computed using triple integration. The limits of integration in the z- direction were defined by Plane 3 (z = H 1 ) and Plane 4 (z = (-ax ? by + L 1 b + L 1 S 1 c) / c) while the limits of integration for the x and y directions were determined from the projection of the tetrahedron on the x-y plane shown in Figure 2.5. ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?= 3 111 2 111 S SLH S SLH m y L 1 x (H 1 -L 1 S 1 )/S 2 + L 1 (H 1 -L 1 S 1 )/S 3 0 1 2 111 L S SLH mxy + ? += where, Figure 2.5 Projection of V 1 in the x-y Plane. As shown in Figure 2.5, the limits of integration in the y-direction were y = mx + (H 1 ? L 1 S 1 )/S 2 + L 1 and y = L 1 . The limits of integration in the x-direction were x = (H 1 ? 15 L 1 S 1 )/S 3 and x = 0. The triple integral used to compute V 1 is shown in equation 2.4 and the solution is shown in equation 2.5. ?? ? ? + ? + ++?? = 3 111 1 2 11 1 1 111 0 1 S SLH L S SLH mx L H c cSLbLbyax dzdydxV (2.4) () ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? +? ? + ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? + ? ++ ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? + = 3 111 2 2 111 111 2 111 2 3 11111 2 1111 3 3 111 2 1 2 2226 2 S SLH S SLH c b SLH S SLH S SLHmSL c bma S SLHmH S SLH c bmam V (2.5) 2.2.1.2 Existing Ground Storage Volume The volume stored on the existing ground (V 2 ) is shown in Figure 2.6 below. Figure 2.6 Maximum Storage Volume on Existing Ground (V 2 ). In order to determine V 2 , a relationship of how the cross-sectional area (A) in the x-z plane changes with respect to y was determined. This relationship was easily defined since the cross-section is triangular in shape. Using Figure 2.6 as a reference, an equation for the cross-sectional area (A) with respect to the y-direction was written as the following: 16 () ? ? ? ? ? ? ? ? ? ?= 3 11 11 2 1 )( S ySH ySHyA (2.6) The volume V 2 was then determined by simply integrating equation 2.6 for the entire existing ground length of y = 0 to y = L 1 . This integral is shown in equation 2.7 below as: () ? ? ? ? ? ? ? ? ? ? ?= 1 0 3 11 112 2 1 L dy S ySH ySHV (2.7) The solution to the integration of equation 2.7 is shown below in equation 2.8 as: ? ? ? ? ? ? ? ? +?= 3 3 1 2 1 3 2 111 3 1 2 1 2 32 1 S LS S LSH S LH V (2.8) 2.2.1.3 Maximum Storage Capacity (V T ) and Associated Tieback Spacing The maximum storage capacity of a silt fence tieback was found by combining equation 2.5 and equation 2.8. The expression for the maximum storage capacity (V T ) is shown in equation 2.9. () ? ? ? ? ? ? ? ? +?+ ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? +? ? + ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? + ? ++ ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? + = 3 3 1 2 1 3 2 111 3 1 2 1 3 111 2 2 111 111 2 111 2 3 11111 2 1111 3 3 111 2 32 1 2 2226 2 S LS S LSH S LH S SLH S SLH c b SLH S SLH S SLHmSL c bma S SLHmH S SLH c bmam V T (2.9) The equation for the tieback spacing that will provide the maximum storage capacity is shown in equation 2.10. This relationship, which was determined from the geometric properties of the total storage volume shown in Figure 2.3, is strictly a function of the height of the silt fence above ground (H 1 ) and the ditch slope (S 3 ). 17 1 3 FENCE H L S = (2.10) By using equations 2.9 and 2.10 during design, practitioners will have a better understanding of the required tieback frequency and the maximum available storage capacity associated with the system on their project site. 2.2.2 Storage Capacities for More Frequent Tieback Configurations There are instances when a practitioner may decide to use a tieback spacing less than the spacing that provides the maximum storage capacity. Therefore, the equations for the maximum storage capacity outlined in the previous sections were modified to determine the storage capacities of more frequent tieback configurations. There are two possible situations that can occur if a shorter length of linear fence between tiebacks is utilized. The first situation occurs when the linear length of fence between tiebacks is long enough to utilize the entire available storage capacity on the fill slope but only a portion of the available storage capacity on the existing ground. The second situation is where the linear length of fence between tiebacks only uses a portion of both the storage capacity on the fill slope and the existing ground. These two situations are shown in Figure 2.7 and Figure 2.8 and can be described mathematically as: (1) 3 1 3 111 S H L S SLH FENCE