INFLOW DESIGN FLOOD CONTROL PLAN

INFLOW DESIGN FLOOD CONTROL PLAN CFR 257.82 Fly Ash Reservoir II Cardinal Plant Brilliant, Ohio September, 26 Prepared for: Cardinal Operating Company Cardinal Plant Brilliant, Ohio Prepared by: Geotechnical Engineering Services American Electric Power Service Corporation Riverside Plaza Columbus, OH 4325 GERS 6 6

Table of CONTENTS. OBJECTIVE... 2. DESCRIPTION OF THE CCR UNIT... 3. INFLOW DESIGN FLOOD 257.82(a)(3)... 4. FLOOD CONTROL PLAN 257.82(c)... iii

. OBJECTIVE This report was prepared by AEP Geotechnical Engineering Services (GES) section to fulfill requirements of CFR 257.82 for the hydrologic and hydraulic evaluation of CCR surface impoundments. 2. DESCRIPTION OF THE CCR UNIT The Cardinal Power Plant in Wells Township, Jefferson County, near the town of Brilliant in eastern Ohio. It is owned by Buckeye Power and AEP Generation Resources (GENCO) and is operated by Cardinal Operating Company. The facility operates two surface impoundments for storing CCR; the Bottom Ash Complex and Cardinal Fly Ash Reservoir II (FAR II) Dam. This report deals with the hydrologic and hydraulic evaluation for the Fly Ash Pond FAR II. The FAR II Dam is a valley filled dam with a unique structure whose current configuration is the result of the original earth fill dam and two separate raisings. The original earth fill dam (Stage ) consisted of a 8 feet high arched earth embankment incorporating a zoned cross section. At 925 feet NGVD, the dam featured a 7 foot wide by,55 feet long crest. The maximum operating pool that could be achieved with the original configuration was El. 93. In 997, the original dam was raised, referred to as Stage 2. Following this raising, the dam was 237 feet high with a 3 foot wide crest. In 23, the dam was raised 3 feet using back to back MSE walls, bringing the dam into its current, Stage 3 configuration. The principal features of the typical section are the MSE wall themselves and a vinyl sheet pile wall extending from the existing clay core to the top of the PMF flood level for seepage cutoff purposes. The FAR II Dam received sluiced fly ash and waste water from the plant via the bottom ash pond. 3. INFLOW DESIGN FLOOD 257.82(a)(3) The facility is classified as a High Hazard Potential Dam. Maximum Flood (PMF). The Inflow Design Flood is the Probable 4. FLOOD CONTROL PLAN 257.82(C) All storm water runoff from the watershed drains into the reservoir created by the Fly Ash Pond Dam. The design spillway system has enough capacity to pass the probable maximum flood without overtopping the dam. The design is based on the normal pool being at maximum normal operating pool and utilizing only the emergency spillway to handle the PMF without overtopping the crest of the dam. The water discharged through the emergency spillway is directed away from the dam such that it causes no threat to the stability of the structure. The analysis in Attachment A includes excerpts of the 23 design report and the associated report Appendix C that provides the description of the spillway system, flood storage capacity, inflow peak discharge and volume, peak discharge from the facility and maximum pool elevation. The calculations show that the facility has the capacity to manage the inflow design flood. Page of

ATTACHMENT A

Attachment A Excerpts from 23 Design Report Hydrology and Hydraulics

Excerpts of @3 FAR II Dam Raising Design Report FAR II Dam Raising Design Report S&ME No. -497-42/76--4A Cardinal Plant, Brilliant, OH January 23 4. HYDROLOGIC AND HYDRAULIC ANALYSIS 4. Introduction The existing hydrologic conditions at the proposed dam site are described herein. Blockhouse Run, the major drainage feature in the project area, drains directly into the Ohio River. Approximately one mile upstream of the Ohio River, Blockhouse Run splits into two branches, designated as the East Branch and the West Branch. The East Branch drains the eastern watershed as delineated in the Watershed Map on Plate 2 of Appendix C. The active fly ash dam II inundates the East Branch. The West Branch has been dammed to form the old Fly Ash Reservoir I (FAR I). The location of the dam is shown on the drawings. Extension of the dam will inundate approximately 6 acres, or 24 percent of the area in the eastern watershed. Since the location of the dam is situated downstream of the discharge points of the old dam, runoff from the western watershed drains into the existing reservoir. Therefore, the spillway system of the proposed dam raising has been designed to meet ODNR Class I design criteria based on the runoff from both watersheds. The following sections present the hydrologic considerations and analyses performed during the design phase of this project. 4.2 Basin Characteristics Figure 3. shows the limits of the watershed boundary for the existing Fly Ash Reservoir II(FAR II). The total drainage area above the dam has been divided into two watersheds, East and West, for analysis of the storm runoff entering the reservoir, as shown on Plate 2 of Appendix C. A review of available topographic maps and aerial photos was made to determine essential basin characteristics for each watershed. Such characteristics include the drainage boundaries, areas, slopes, soil types, ground cover, land use and the time of concentration. The time of concentration is defined as the elapsed time for runoff to travel from the hydraulically most distant part of the watershed to some reference point downstream. The old fly ash dam is located in the western watershed. Present land use within the drainage area is limited to reclaimed strip mine areas, some woodlands, and the inactive FAR I. Reclamation of the reservoir area is actively in progress in the form of a residual waste landfill above the level of the ponded fly ash. A built-out landfill condition was also analyzed for the western watershed, using the 25 FAR I PTI. The PTI listed a Curve Number (CN) of 74, therefore the composite CN of the current FAR I condition of 75 was used. See Plates 4 through 6 of Appendix C.

FAR II Dam Raising Design Report Cardinal Plant, Brilliant, OHJanuary 23 S&ME No. -497-42/76--4A Woodlands and scattered reclaimed strip mines constitute the existing land use in the East watershed. Construction of the proposed fly ash dam raising will inundate approximately 6 acres at Elevation 974. feet NGVD, the maximum operating pool elevation. Soil types in the areas have been identified by the Soil Conservation Service (SCS) of the U.S. Department of Agriculture and classified into hydrologic soil groups. Within the study area, all soils fall under the hydrologic soil group B. Table 4.2., below, lists the basin characteristics for the Western and Eastern watersheds. Table 4.2. Basin Characteristics BASIN WATERSHED CHARACTERISTICS WEST EAST Woods Landfill Woods Reservoir Drainage area (acres) 59 58 54 6 Average land slope % 3 n/a 25 n/a Hydrologic soil group C C C n/a SCS curve number (CN) 7 9 7 Composite CN 75 n/a Time of concentration (hours).87.57. TOTAL AREA (acres) 677 675 4.3 Characteristics of Proposed Reservoir A previously referenced, Drawing No. 2 shows the location of the existing dam. Based on this layout, the reservoir will have the following surface areas and storage capacities - as shown below in Table 4.3.. Table 4.3. Surface Areas and Storage Capacities ELEVATION (Ft. NGVD) AREA (AC) STORAGE (AC-FT) Maximum Pool 974. 6,868 Emerg. Spillway 975.5 65 2,2 Top of Dam 983. 84 3,5 The area-capacity-elevation curve developed for this dam is shown on Plate 3 of Appendix C. 2

FAR II Dam Raising Design Report Cardinal Plant, Brilliant, OHJanuary 23 S&ME No. -497-42/76--4A 4.4 Design and Assumptions Rainfall - runoff data was not available for the site because the streams flow intermittently. Therefore, runoff hydrographs were generated using the U.S. Army Corps of Engineers HEC- computer program. The SCS dimensionless unit hydrograph method was employed in the calculation of the hydrographs. For each watershed, separate runoff hydrographs were computed and then later combined to form a single inflow hydrograph for the proposed reservoir. Runoff from the West watershed was analyzed based on current landfill construction activity. The landfill area was assumed to be in a disturbed (unvegetated) condition. A composite curve number was used to represent the unvegetated landfill and surrounding wooded areas. This is shown on Plate 4 of Appendix C. In the East watershed, the reservoir surface is modeled as a subbasin to convert direct rainfall into a runoff hydrograph. The ash sluice water of 3.3 mgd (2.6 cfs) is represented as a base flow in the East watershed. Once computed, the runoff hydrographs from the three subbasin watersheds are combined and routed through the reservoir. 4.4. Service Spillway According to OAC 5:2-3-4, design of the principal (service) spillway for class I dams must be such that the average frequency use of the emergency spillway is predicted to be less than once in fifty years. The estimated precipitation for a 5-year storm was obtained from the NOAA Atlas 4. For a 6-hour storm, the precipitation is 3.43 inches, whereas the 24-hour storm amount is 4.5 inches, as shown on Plate 9 of Appendix C. Both 6-hour and 24-hour storm durations with average soil moisture conditions were checked. The 24-hour storm resulted in a higher maximum water surface, therefore this storm duration was used for developing the 5-year storm inflow hydrograph. 4.4.2 Emergency Spillway OAC 5:2-3-2 specifies that for class I dams, the spillway system shall safely pass the design flood equal to the probable maximum flood (PMF) without any overtopping of the dam. The PMF is the result of the probable maximum precipitation (PMP), defined as the greatest depth of precipitation for a given duration that is meteorologically possible for a given basin at a particular time of year. Generalized estimates of the PMP have been published by the 3

FAR II Dam Raising Design Report Cardinal Plant, Brilliant, OHJanuary 23 S&ME No. -497-42/76--4A Hydrometerological branch of the National Weather Service, as shown on Plates and 2 of Appendix C. For the study area, a 6-hour PMP of 26.5 inches was used as the design rainfall event. The antecedent moisture conditions of the soil cover were assumed to be average. The layout of the control section and outlet channel for the emergency spillway is shown on the Emergency Spillway Plan. The emergency spillway control section will be a section of mass concrete at Elevation 975.5. It will have a bottom length of 8 feet and side slopes consisting of access ramps at 2 to 5% grades. Downstream of the access ramps and control section, vertical concrete retaining walls wrap into the spillway and guide flow down the channel. The width of the control section along the flow direction will be 5 feet. The downstream channel of the spillway will be stepped. Steps will be formed of the mass concrete beginning at the downstream end of the control section and tying-in to the existing RCC steps. The calculations show that flow downstream of the control section becomes supercritical. The spillway channel transitions from an approximate 3.5H:2V slope along the proposed concrete steps to a 5H:2V slope along the existing RCC steps.. 4.5 Analysis All reservoir flood routings were conducted using the HEC- computer program. The program routes floods through the reservoir by the modified Puls method. In general, reservoir storage data and either spillway dimensions or discharge-rating curves are supplied by the user. 4.5. Service Spillway Analysis of the service spillway system consisted of routing the 5-year storm to establish the invert of the emergency spillway. A design for the service spillway was determined and a stagedischarge curve was computed. A maximum operating level of elevation 974 was predetermined based on the projected life of the dam raising. Reservoir routings of the 5-year storm were performed using the maximum operating level of the reservoir. Inflow was calculated as weir flow over the 4-foot stop log. Above Elevation 976, flow will enter through the top of the vertical service spillway structure. This flow was analyzed as both weir and orifice flow. Rating calculations for the service spillway are included on Plates 3 through 9 of Appendix C. 4

FAR II Dam Raising Design Report Cardinal Plant, Brilliant, OHJanuary 23 S&ME No. -497-42/76--4A 4.5.2 Emergency Spillway Hydrologic reservoir routings were conducted to analyze the emergency spillway and its ability to pass the probable maximum flood without overtopping the dam. A flat rectangular control section was designed with a width of 5 feet and length of 8 feet. Discharge over the spillway was rated based on calculations of critical depth using the Corps of Engineers HEC-RAS computer program. Cross sections were taken at changes in geometry, slope or surface roughness. Manning's n roughness coefficients were input based on the expected channel surface conditions. Based on literature (see Plates 4 through 42 of Appendix C), a relatively high Manning s roughness coefficient of n=.7 was used to model the stepped spillway surface. As shown on the drawings, proposed reinforced concrete training walls extend from the crest of the dam to a point approximately 3 feet beyond the proposed stepped channel transitions into the existing steps. Downstream from the training walls section, the spillway width becomes feet, consistent with the current configuration. The calculated relationship between stage and discharge was then used in the routing process to determine the maximum discharge and pool elevation. This information was used as the emergency spillway rating and input into HEC-. Discharges from the emergency spillway are routed away from the dam through an existing outlet channel. 4.6 Results 4.6. Service Spillway-Hydraulic Capacity The proposed new principal spillway is a vertical concrete shaft structure with a 4-foot wide opening on one side. The spillway shaft will tie into the existing inclined spillway structure. The existing structure drains into a 54-inch diameter Prestressed Concrete Cylinder Pipe (P.C.C.P.), which then ties into a 42-inch steel pipe extending down the dam. The existing energy dissipator at the outlet of the steel pipe will be utilized. During most of the operating conditions, discharge through the service spillway will be controlled by weir flow over the stop logs in the opening of the shaft. The maximum operating level is set at elevation 974. feet. This corresponds to a maximum stop log elevation of 972.5 based on the base inflow of 2.6 cfs. The peak inflow during the 5-year, 24-hour storm is 486 cfs, which results from 4.5 inches of rainfall according to NOAA Atlas 4. The reservoir level will rise to elevation 975.2 feet based 5

FAR II Dam Raising Design Report Cardinal Plant, Brilliant, OHJanuary 23 S&ME No. -497-42/76--4A on an initial pool level of elevation 974. The peak outflow from the dam will be 58 cfs. The HEC- output for the reservoir routings are contained on Plates 44 through 75 of Appendix C. 4.6.2 Service Spillway-Structural Capacity The 54-inch P.C.C.P. portion of the service spillway was also analyzed for additional internal and external pressures due to the 3-foot dam raising. The pipe is installed under the dam embankment and was trenched into bedrock. Pipe crushing calculations were performed to analyze the additional loading on the pipe from the raised dam. Previous calculations (see 2 As-Built Drawing No. 3-343-5) indicate that the pipe was designed to handle 8 feet of overburden material at 25 pcf. The proposed top of dam will be 74.6 feet above the pipe, therefore the existing concrete pipe will be suitable to handle the additional load. Additional information on as-built drawing 3-343-5 also indicates that the pipe is capable of handling internal pressure up to 35 psi. It is possible that at high headwater elevations, the spillway pipe could become pressurized. Under the maximum pool elevation of 983., the maximum static head on the downstream portion of the pipe would be 8.5 feet, or 34.9 psi. As the water will be flowing through the pipe, the actual pressure on the pipe will be less than this value; therefore the pressure should not exceed the pipe rating of 36 psi. See Plates 2 and 2 of Appendix C. 4.6.3 Emergency Spillway The development of the PMF hydrograph indicates a peak inflow to the reservoir equal to 6,329 cfs. This value represents the combined hydrographs from the West and East watersheds. Values of the runoff from each watershed and the combined runoff are shown in Appendix C. Based on the flood routing, the calculated peak discharge from the dam is 5,49 cfs at a maximum pool elevation of 98.9 feet NGVD. The PMF routing was also checked with the service spillway blocked, which resulted in a maximum pool elevation of 982.8 and.2 feet of freeboard. Both 6-hour and 24-hour storm durations were checked. The 6-hour storm resulted in a higher maximum water surface, therefore this storm duration was used for developing the PMF inflow hydrograph. Depth of flow in the spillway was determined based on the HEC-RAS analysis. In the proposed spillway section, the training walls were kept a minimum of foot above the critical water surface depth of 4.5 feet, as shown on Plates 23 and 32 of Appendix C. The training wall height downstream of the steps transition was kept to a minimum of foot above the resultant water 6

FAR II Dam Raising Design Report Cardinal Plant, Brilliant, OHJanuary 23 S&ME No. -497-42/76--4A surface depth during the PMF event (2 to 2.5 feet). The existing wall height of 4 feet meets this requirement. The HEC-RAS output is presented as Plates 25 through 36 of Appendix C. The structural analysis of the raised emergency spillway is presented elsewhere in this report. 4.7 Summary and Conclusions The hydrologic/hydraulic studies for the proposed dam raising included estimating the PMF and 5-year flood hydrographs and designing the emergency and service spillways. The U.S. Army Corps of Engineers computer programs HEC- and HEC-RAS were used in the analyses. Hydrograph presented on Plate 43 of Appendix C displays the resultant inflow and outflow hydrographs from HEC- based on the PMF event. Table 4.7., gives a complete summary of the study. The proposed spillway system has enough capacity to pass the probable maximum flood without overtopping the dam. The The water discharged through the emergency spillway is directed away from the dam such that it causes no threat to the stability of the structure. Table 4.7. Hydrologic/Hydraulic Summary for Proposed Raising Of Dam HYDROLOGIC AND HYDRAULIC SUMMARY Drainage Area AREA (AC) 2.2 Sq. Mi. Design Floods (Inflow) PMF Peak 6,329 cfs 5-Yr Peak 547 cfs Peak Discharge PMF 5,49 cfs 5-Yr 58 cfs Maximum Pool Elevations, NVGD PMF 98.9 ft 5-Yr 975.2 ft Emergency Spillway - Overflow Control Section - Concrete Crest Elevation, NGVD 975.5 ft Bottom Width 5. ft Side Slopes Vertical Service Spillway - Size Top of Vertical Concrete Structure 976. ft Stop Log Width 4. ft Conduit Size 54" & 42" Maximum Operating Pool Level, NGVD 974. ft 7

Attachment A 2 23 Report Appendix C Hydrologic and Hydraulics Analysis

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PLATE 2

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CARDINAL FAD 2 CALCULATE COMPOSITE CN - WEST WATERSHED Based off of Worksheet 2 in Appendix D of 2-VI-TR-55, Second Ed., June 986 Soil Name/ Hydrologic Group C C 9 Area (ac) 58. Product of CN x Area 4,378 7 59. 36,33 677. 5,78 Cover Description CN Newly graded areas (no vegetation) Woods, good Totals Composite CN Use 74.9 CN = 75 Check FAR Landfill Post-Development conditions: From 25 FAR PTI by GeoSyntec, Post-Development conditions for the final cover system is a CN of 74. (see attached) Therefore, use current landfill construction condition of CN = 75. PLATE 4

(from FAR PTI) GEOSYNTEC CONSULTANTS Written by: William Steier Client: AEP Date: 2 October 25 Project: Cardinal Power Plant PAGE Reviewed by: Joo Chai Wong Project/Proposal No.:CHE826 2 OF 4 Date: Task No.: Hydrologic Soil Groups: Interim Conditions Interim site conditions will include exposed temporary waste slopes. FGD waste material is assumed to exhibit similar characteristics to soils of Hydrologic Soils Group C. Post-Development - Soil used to construct the final cover system will consist of low permeability material, which will exhibit characteristics of Hydrologic Soils Group C. Curve Number (CN): Interim Conditions For interim slopes, a CN of 9 is selected, the value recommended by SCS for hydrologic soil group C for newly graded areas. Post-Development - For the final cover system, a curve number (CN) of 74 is used, the value recommended by SCS for hydrologic soil group C for open spaces in good condition (grass cover > 75%). A summary of runoff CN values provided by SCS [SCS, 986] are provided in Table 2. Time of Concentration Tc: The Tc value represents the total time for stormwater runoff to travel from the hydraulically most distant point of a watershed or drainage area to a point of interest. Factors affecting Tc include surface roughness, channel shape and flow patterns, and slope. For this analysis the calculation of Tc evaluates the impact of three different types of stormwater runoff flow: ¾ sheet flow flow over plane surfaces, which is limited to a maximum length of 5 ft.; ¾ shallow concentrated flow after about 5 ft., sheet flow will begin to concentrate, but not necessarily defined in a specific channel; and ¾ channel flow flow that is confined to a defined channel section. The Tc value for a drainage area is the sum of the individual various travel time (Tt) values of the above flow types. The equations for calculating the Tt are presented below ¾ Sheet Flow: Tt =.7 (nl).8 (P2).5 s.4 ¾ Shallow Concentrated Flow: Tt = L 3,6 V CHE826\HYDROLOGIC MODEL.WMS.DOC PLATE 5

(from FAR PTI) GEOSYNTEC CONSULTANTS Written by: William Steier Client: AEP PAGE Date: 2 October 25 Project: Cardinal Power Plant Reviewed by: Joo Chai Wong Project/Proposal No.:CHE826 7 OF 4 Date: Task No.: TABLE 2 (from FAR PTI) CHE826\HYDROLOGIC MODEL.WMS.DOC PLATE 6

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PLATE 3 Top of Dam = 983. Emergency Spillway Max Operating Pool Top of Stop Log Cardinal FAD 2 Dam Raising Spillway Capacity - Proposed Top of Dam El. 983, ES width = 5' Box Box Struc. Control Total Lake Stop Log Structure Pipe Inlet Pressure Control E. Spillway Struc. Orifice Elevation Weir Flow Outflow Flow Pipe Flow Outflow Outflow Flow Outflow Weir Flow Flow feet cfs cfs cfs cfs cfs cfs cfs MGD cfs 972.5..... 973. 4.7 4.7 65.4 357.8 4.7 3. 4.7 973.5 3.3 3.3 68. 358.2 3.3 8.6 3.3 974. 24.5 24.5 62.5 358.6 24.5 5.8 24.5 974.5 37.7 37.7 623. 358.9 37.7 24.3 37.7 975. 52.7 52.7 625.6 359.3 52.7 34. 52.7 975.5 69.2 69.2 628. 359.7 69.2 44.7. 69.2 976.27 2.3 63.7 87.2 99.5 63.9 36.3 99.5 64.3 2. 299.5 976.89 73.6 5.7 87.2 6.8 635. 36.8 6.8 3.9 5. 66.8 977.7 94.3 59.9 87.2 247. 638.9 36.4 247. 59.7. 247. 978.37 39.8 88.8 87.2 276. 642.2 36.9 276. 78.4 5. 776. 978.98 45.9 2.7 87.2 298.9 645.2 362.3 298.9 93.2 2. 2298.9 98.6 77. 247. 87.2 334.3 65.4 363.2 334.3 26. 3. 3334.3 98.2 985.8 274.8 87.2 362. 655. 363.9 362. 233.9 4. 4362. 98.9 256. 297.9 87.2 385. 659.2 364.5 364.5 235.6 5. 5364.5 982.32 392.5 38.3 87.2 395.5 66.2 364.9 364.9 235.8 55. 5864.9 982.73 53.2 38. 87.2 45.4 663.2 365.2 365.2 236. 6. 6365.2 983. 623.2 324.5 87.2 4.7 664.4 365.4 365.4 236. Stop Log Weir Flow Stop Log Weir Flow Stop Log Weir Flow Stop Log Weir Flow Stop Log Weir Flow Stop Log Weir Flow Stop Log Weir Flow Stop Log Weir Flow Stop Log Weir Flow Stop Log Weir Flow Stop Log Weir Flow Stop Log Weir Flow Stop Log Weir Flow Pressure Pipe Flow Pressure Pipe Flow Pressure Pipe Flow Control Type

Cardinal FAD 2 Stop Logs Weir Rating Weir Flow Q C SCW LH C SCW 3 2 H 3.27.4 Hc Elevation 972.5 973. 973.5 974. 974.5 975. 975.5 976. H..5..5 2. 2.5 3. 3.5 Q. 4.7 3.3 24.5 37.7 52.7 69.2 87.2 for H/Hc <.3, CSCW becomes 3.33 L= 4. g= 32.2 Crest Elevation= 972.5 Reference: FHWA-SA-96-78 Urban Drainage Design Manual Hydraulic Engineering Circular 22 November, 996 PLATE 4

Cardinal FAD 2 Existing Spillway Pipe Rating Pipe Inlet Control Q CA 2gh for C=.62 orifice equation becomes: Q 3.9 D 2 h d= 54. Invert Elevation = 9.33 INCHES 54" PCCP Orifice Headwater Elevation Discharge Velocity (ft.) (cfs) (ft/s) 972.5 62.9. 973. 65.4 38.7 973.5 68. 38.9 974. 62.5 39. 974.5 623. 39.2 975. 625.6 39.4 975.5 628. 39.5 976.27 63.9 39.8 976.89 635. 39.9 977.7 638.9 4.2 978.37 642.2 4.4 978.98 645.2 4.6 98.6 65.4 4.9 98.2 655. 4.2 98.9 659.2 4.5 982.32 66.2 4.6 982.73 663.2 4.7 983. 664.4 4.8 Reference: FHWA-SA-96-78 Urban Drainage Design Manual Hydraulic Engineering Circular 22 November, 996 PLATE 5

Cardinal FAD 2 Existing Spillway Pipe Rating Pressure Pipe Flow Computed with the Energy Equation (from inlet to outlet) Manning's n=.5 Inlet Invert: 9 Outlet Invert (z2): 736 Entrance Coefficent Ke=.9 The Darcy-Weisbach friction factor is related to Manning's n through the following equation: Outlet Coefficent Ko=. MH Coefficent KMH=.5 f Bends Coefficent Kb=.8 Pipe Diameter in inches= 42 Pipe Diameter in feet (D)= 3.5 Pipe Eq. Length in feet (L)= 852 Darcy-Weisbach f =.27 D (ft) 972.5 973. 973.5 974. 974.5 975. 975.5 976.27 976.89 977.7 978.37 978.98 98.6 98.2 98.9 982.32 982.73 983. Outlet Velocity (ft/s) 37. 37.2 37.2 37.3 37.3 37.3 37.4 37.4 37.5 37.6 37.6 37.7 37.7 37.8 37.9 37.9 38. 38. Outlet Flow Rate (ft3/s) 357.4 357.8 358.2 358.6 358.9 359.3 359.7 36.3 36.8 36.4 36.9 362.3 363.2 363.9 364.5 364.9 365.2 365.4 2 3 The Energy Equation is: p v2 p2 v22 z z2 hl 2g 2g Assuming Free Outlet (TW=El. 739.5): Headwater Elevation (z) 85 n Where: v2 L h L 2g f D K e K o Kb Because p, v and p2 all are equal to the energy equation becomes: v 2 v2 L z z2 f Ke Ko Kb 2g 2g D Solving for v gives: v 2g z z2 L f Ke Ko Kb D Determine flow rate Q by: Q VA PLATE 6

Cardinal FAD 2 Vertical Box Structure Overflow Rating Weir Flow Q C SCW LH C SCW 3 2 H 3.27.4 Hc for H/Hc <.3, CSCW becomes 3.33 Size= 5'-8" x 7'-6 " inside dimensions L= 26.3 g= 32.2 Crest Elevation= 976. Elevation 976. 976.27 976.89 977.7 978.37 978.98 98.6 98.2 98.9 982.32 982.73 983. H..27.89.7 2.37 2.98 4.6 5.2 5.9 6.32 6.73 7. Q. 2.3 73.6 94.3 39.8 45.9 77. 985.8 256. 392.5 53.2 623.2 Reference: FHWA-SA-96-78 Urban Drainage Design Manual Hydraulic Engineering Circular 22 November, 996 PLATE 7

Cardinal FAD 2 Vertical Box Structure Overflow Rating Orifice Flow Q CA 2gh Size= A= Grating % Open Area Orifice Centroid Elevation = Headwater Elevation (ft.) 976. 976.27 976.89 977.7 978.37 978.98 98.6 98.2 98.9 982.32 982.73 983. 5'-8" x 7'-6 " inside dimensions 42.5 S.F. 6 % 976. Orifice Discharge Velocity (cfs) (ft/s). 63.7.5 5.7 2.7 59.9 3.8 88.8 4.4 2.7 5. 247. 5.8 274.8 6.5 297.9 7. 38.3 7.3 38. 7.5 324.5 7.6 Reference: FHWA-SA-96-78 Urban Drainage Design Manual Hydraulic Engineering Circular 22 November, 996 PLATE 8

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PLATE 23

PLATE 24

PLATE 25 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5 5 5 5 5 5 5 5 5 5 PF PF 2 PF 3 PF 4 PF 5 PF 6 PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF 2. 5.. 5. 2. 3. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 2. 5.. 5. 2. 3. 4. 5. 55. 6. HEC-RAS Plan: Plan 22 River: E. Spillway Reach: Reach River Sta Profile Q Total (cfs) 4 PF 2. 4 PF 2 5. 4 PF 3. 4 PF 4 5. 4 PF 5 2. 4 PF 6 3. 4 PF 7 4. 4 PF 8 5. 4 PF 9 55. 4 PF 6. 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 Min Ch El (ft) 94. 94. 94. 94. 94. 94. 94. 94. 94. 94. 976.2 976.72 977.5 978.8 978.79 979.87 976.6 976.74 977.52 978.9 978.8 979.87 98.83 98.7 982.3 982.54 976.6 976.74 977.52 978.9 978.8 979.87 98.83 98.7 982.3 982.54 W.S. Elev (ft) 976.27 976.89 977.7 978.37 978.98 98.6 98.2 98.9 982.32 982.73 Crit W.S. (ft) 94.28 94.5 94.8 94.7 94.29 94.69 942.4 942.37 942.54 942.69 976.24 976.86 977.67 978.35 978.96 98.4 976.26 976.88 977.68 978.36 978.96 98.4 98. 98.89 982.3 982.7 976.26 976.88 977.68 978.36 978.96 98.4 98. 98.89 982.3 982.7 E.G. Elev (ft) 976.27 976.89 977.7 978.37 978.98 98.6 98.2 98.9 982.32 982.73.46.82.52.362.279.99.226.78.493.359.277.99.53.28.9..873.554.355.2549.97.43.9.98.843.79 E.G. Slope (ft/ft)........2.2.2 2.76 3.24 3.53 3.64 3.66 3.74 2.62 3.9 3.5 3.63 3.65 3.73 3.75 3.78 3.8 3.83 2.6 3.8 3.5 3.63 3.65 3.73 3.75 3.78 3.8 3.83 Vel Chnl (ft/s).3.7.3.9.25.37.48.59.64.69 76.48 7.9 325.32 486.46 647.63 96.4 8.95 73.2 327.44 488. 649.4 962.44 267.3 557.8 698.33 837.5 8. 73.6 327.48 488.2 649.7 962.46 267.33 557.8 698.33 837.5 Flow Area (sq ft) 873.65 8853.88 947.4 929.44 9354.95 963.49 9844.2 56.2 56.63 254.3 4.33 74.7 28.89 254.98 274.26 38.37 42.3 75.2 29.49 255.8 274.43 38.48 323.63 335.36 34.92 346.32 42.4 75.4 29.5 255.8 274.43 38.48 323.63 335.36 34.92 346.32 Top Width (ft) 24. 24. 24. 24. 24. 24. 24. 24. 24. 24..62.52.44.39.36.32.57.5.44.39.35.3.29.27.26.25.57.5.44.39.35.3.29.27.26.25........2.2.2 Froude # Chl

PLATE 26 99.9 99.9 99.9 99.9 99.9 99.9 99.9 99.9 99.9 99.9 96 96 96 96 96 96 96 96 96 96 93 93 93 93 93 93 93 93 93 93 85 PF PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF 2. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 965.4 972. 972. 972. 972. 972. 972. 972. 972. 972. 972. 974. 974. 974. 974. 974. 974. 974. 974. 974. 974. 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 975.5 HEC-RAS Plan: Plan 22 River: E. Spillway Reach: (Continued) Reach River Sta Profile Q Total Min Ch El (cfs) (ft) PF 7 4. 975.5 PF 8 5. 975.5 PF 9 55. 975.5 PF 6. 975.5 965.68 972.28 972.48 972.76 973. 973.23 973.66 974.7 974.46 974.65 974.83 974.32 974.53 974.86 975.6 975.43 975.95 976.43 976.88 977.9 977.3 975.98 976.39 976.9 977.34 977.73 978.43 979.5 979.62 979.89 98.5 W.S. Elev (ft) 98.83 98.7 982.3 982.53 965.88 972.48 972.89 973.4 973.84 974.23 974.93 975.55 976.2 976.39 976.65 974.48 974.89 975.4 975.84 976.23 976.93 977.55 978.2 978.39 978.65 975.98 976.39 976.9 977.34 977.73 978.43 979.5 979.62 979.89 98.5 Crit W.S. (ft) 966.4 973. 973.98 975.2 976.6 976.95 978.24 979.32 98.27 98.72 98.5 974.88 975.78 976.78 977.53 978.8 979.29 98.26 98.3 98.55 98.95 976.22 976.83 977.62 978.28 978.86 979.9 98.84 98.69 982. 982.49 E.G. Elev (ft) 98. 98.88 982.3 982.7.57497.5564.5695.58273.4562.42379.3396.283724.24989.23744.2254.376398.4776.338287.2874.24294.96469.67924.48546.4529.34987.9785.7523.64567.58886.55267.5473.47379.44943.445.43279 E.G. Slope (ft/ft).54.28.9. 6.85 6.79 9.82 2.57 4.26 5.47 7.7 8.38 9.34 9.78 2.7 6.4 8.99.3 2.37 3.3 4.67 5.7 6.55 6.95 7.3 3.95 5.37 6.77 7.75 8.53 9.76.74.56.94 2.3 Vel Chnl (ft/s) 3.75 3.79 3.8 3.84 29.9 29.47 5.9 79.53 5.7 29.3 74.72 27.66 258.54 278. 297.57 33.3 55.65 89.86 2.29 5.45 24.5 254.77 32.9 324.66 346.96 5.6 93.8 47.7 93.68 234.6 37.49 372.45 432.64 46.88 488.8 Flow Area (sq ft) 266.5 556.5 697.67 836.83 5. 5. 5. 5. 5.2 5.2 5.3 5.4 5.4 5.5 5.5 5. 5. 5.2 5.3 5.3 5.4 5.5 5.6 5.7 5.7 5. 5.2 5.4 5.5 5.6 5.8 5.9 5. 5.2 5.2 Top Width (ft) 323.59 335.33 34.9 346.3 2.29 2.26 2.49 2.55 2.5 2.46 2.35 2.25 2.7 2.4 2..89 2.8 2.2 2.3.96.85.78.72.7.68...........29.27.26.25 Froude # Chl

PLATE 27 8 8 8 8 8 8 8 8 8 8 77 77 77 77 77 77 77 77 77 77 7 7 7 7 7 7 7 PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF 2. 5.. 5. 2. 3. 4. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 956. 956. 956. 956. 956. 956. 956. 956.5 956.5 956.5 956.5 956.5 956.5 956.5 956.5 956.5 956.5 958. 958. 958. 958. 958. 958. 958. 958. 958. 958. HEC-RAS Plan: Plan 22 River: E. Spillway Reach: (Continued) Reach River Sta Profile Q Total Min Ch El (cfs) (ft) 85 PF 2 5. 965.4 85 PF 3. 965.4 85 PF 4 5. 965.4 85 PF 5 2. 965.4 85 PF 6 3. 965.4 85 PF 7 4. 965.4 85 PF 8 5. 965.4 85 PF 9 55. 965.4 85 PF 6. 965.4 956.4 956.6 956.85 957.5 957.23 957.54 957.82 956.75 956.95 957.2 957.4 957.6 957.9 958.9 958.45 958.58 958.7 958.29 958.5 958.76 958.97 959.5 959.46 959.74 96. 96.3 96.26 W.S. Elev (ft) 965.88 966.3 966.33 966.52 966.85 967.6 967.45 967.6 967.74 956.58 956.99 957.5 957.94 958.33 959.3 959.65 956.98 957.39 957.9 958.34 958.73 959.43 96.5 96.62 96.89 96.5 958.48 958.89 959.4 959.84 96.23 96.93 96.55 962.2 962.39 962.65 Crit W.S. (ft) 966.29 966.8 967.24 967.63 968.33 968.95 969.52 969.79 97.5 957. 958. 959.36 96.54 96.64 963.63 965.43 957.66 958.68 96.4 96.2 962.29 964.26 966.5 967.68 968.44 969.6 958.96 959.9 96.2 962.36 963.42 965.38 967.5 968.76 969.5 97.22 E.G. Elev (ft) 967.4 968.77 969.96 97.3 972.88 974.45 975.8 976.42 976.99.39935.497833.527568.533.53532.53323.52769.8389.75384.6463.69956.5945.57945.555768.539953.534.522282.534.57624.57442.58227.58657.5936.54588.494769.4887.4824 E.G. Slope (ft/ft).574378.573735.567474.55687.525993.4993.457272.44252.425444 6.4 9.47 2.72 4.98 6.85 9.8 22.4 7.65.56 3.5 5.62 7.39 2.22 22.49 24.38 25.2 25.96 6.59 9.53 2.57 4.79 6.6 9.53 2.85 23.74 24.57 25.33 Vel Chnl (ft/s) 9.89 3.4 5.29 7.5 9.72 2.68 23.9 23.83 24.4 32.55 52.8 78.65.2 8.7 5.57 8.7 26.4 47.36 74. 96.4 5.5 48.42 77.9 25.7 28.33 23.9 3.37 52.49 79.57.45 2.53 53.67 83.4 2.63 223.93 236.95 Flow Area (sq ft) 5.58 76.7 98.4 7.3 52.2 84.55 25.67 23.82 245.88 5. 5. 5.2 5.3 5.3 5.4 5.5 5. 5. 5.2 5.3 5.3 5.4 5.5 5.6 5.6 5.6 5. 5.2 5.2 5.3 5.4 5.5 5.6 5.6 5.7 5.7 Top Width (ft) 5.2 5.2 5.3 5.4 5.5 5.6 5.7 5.7 5.8.94 2.35 2.59 2.7 2.79 2.9 2.97 2.7 2.77 2.84 2.88 2.93 3. 3.4 3.7 3.8 3.8 2.6 2.37 2.54 2.65 2.73 2.84 2.92 2.95 2.97 2.97 2.5 2.69 2.79 2.84 2.89 2.88 2.85 2.83 2.8 Froude # Chl

PLATE 28 53 53 53 53 53 53 53 53 53 53 52.9 52.9 6 6 6 6 6 6 6 6 6 6 69.9 69.9 69.9 69.9 69.9 69.9 69.9 69.9 69.9 69.9 PF PF 2 PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF 2. 5. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 95. 95. 95. 95. 95. 95. 95. 95. 95. 95. 95. 95. 97. 97. 97. 97. 97. 97. 97. 97. 97. 97. 956. 956. 956. 956. 956. 956. 956. 956. 956. 956. HEC-RAS Plan: Plan 22 River: E. Spillway Reach: (Continued) Reach River Sta Profile Q Total Min Ch El (cfs) (ft) 7 PF 8 5. 956. 7 PF 9 55. 956. 7 PF 6. 956. 95.35 95.58 95.34 95.58 95.88 96. 96.3 96.66 96.95 97.22 97.34 97.46 97.3 97.53 97.79 98. 98.2 98.53 98.82 99.9 99.2 99.33 956.39 956.58 956.8 957. 957.7 957.47 957.73 957.98 958. 958.2 W.S. Elev (ft) 958.8 958.2 958.32 95.47 95.86 95.47 95.86 96.37 96.79 97.7 97.84 98.44 98.99 99.27 99.52 97.47 97.86 98.37 98.79 99.6 99.84 92.44 92.99 92.27 92.52 956.57 956.96 957.47 957.89 958.27 958.94 959.54 96.9 96.37 96.62 Crit W.S. (ft) 96.22 96.49 96.75 95.77 96.53 95.79 96.54 97.55 98.45 99.29 92.86 922.34 923.73 924.4 925.8 97.86 98.69 99.83 92.83 92.75 923.44 925. 926.46 927.6 927.86 956.99 957.99 959.35 96.53 96.63 963.6 965.42 967.7 967.82 968.56 E.G. Elev (ft) 967.8 967.84 968.58.776.442.2829.28642.28547.289592.29588.363.3557.32483.324559.327665.38624.392246.395936.396575.396544.395788.39646.39577.395239.395732.438962.5443.57684.574944.57895.576374.576.56262.55245.545879 E.G. Slope (ft/ft).588.557.5553 5.22 7.79 5.42 7.87.38 2.26 3.84 6.45 8.62 2.48 2.33 22.5 5.97 8.65.45 3.47 5.2 7.77 9.94 2.8 22.63 23.44 6.2 9.53 2.79 5.6 6.93 9.89 22.24 24.9 25.3 25.82 Vel Chnl (ft/s) 24.8 24.92 25.7 38.34 64.9 36.88 63.5 96.38 22.36 44.49 82.38 24.84 244.25 257.9 27.95 33.5 57.78 87.34.35 32.33 68.89 2.62 229.49 243. 256.4 32.24 52.45 78.22 99.6 8.3 5.87 79.9 26.75 29.84 232.47 Flow Area (sq ft) 27.65 22.8 233.47.2.3.2.3.4.6.7.8...2.2.2.3.5.6.7.9..2.3.3..2.4.5.5.7.8.9.. Top Width (ft) 5.6 5.6 5.6.56.8.65.83.95 2.5 2.3 2.25 2.35 2.42 2.46 2.49.9 2. 2.27 2.36 2.43 2.53 2.6 2.66 2.68 2.7 2.2 2.43 2.67 2.79 2.88 2.99 3.7 3. 3.2 3.3 3.2 3.3 3.4 Froude # Chl

PLATE 29 5 5 5 5 5 5 5 5 5 5 49.9 49.9 49.9 49.9 49.9 49.9 49.9 49.9 49.9 49.9 3 3 3 3 3 3 3 3 PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF 2. 5.. 5. 2. 3. 4. 5. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 94. 94. 94. 94. 94. 94. 94. 94. 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 94.2 HEC-RAS Plan: Plan 22 River: E. Spillway Reach: (Continued) Reach River Sta Profile Q Total Min Ch El (cfs) (ft) 52.9 PF 3. 95. 52.9 PF 4 5. 95. 52.9 PF 5 2. 95. 52.9 PF 6 3. 95. 52.9 PF 7 4. 95. 52.9 PF 8 5. 95. 52.9 PF 9 55. 95. 52.9 PF 6. 95. 94.53 94.98 95.55 96.2 96.44 97.8 97.83 98.43 94.9 95.46 96.7 96.77 97.29 98.2 99.2 99.77 92. 92.44 94.9 95.46 96.7 96.77 97.28 98.9 98.99 99.72 92.6 92.39 W.S. Elev (ft) 95.88 96.2 96.32 96.66 96.96 97.22 97.35 97.47 94.53 94.98 95.55 96.2 96.44 97.8 97.83 98.43 Crit W.S. (ft) 96.37 96.79 97.7 97.84 98.44 98.99 99.27 99.53 94.8 95.46 96.3 97. 97.62 98.7 99.64 92.5 95. 95.66 96.5 97.2 97.82 98.9 99.87 92.75 92.6 92.56 95. 95.66 96.5 97.2 97.82 98.92 99.89 92.77 92.8 92.58 E.G. Elev (ft) 97.53 98.43 99.27 92.84 922.32 923.7 924.39 925.6.36552.2969.25256.23257.279.965.8488.75.928.8274.74.645.635.546.55.4734.462.456.95.88.797.7375.796.6743.653.6356.6299.6233 E.G. Slope (ft/ft).5522.797.288.25556.29536.3229.33445.34768 4.5 5.6 7.2 8.4 8.8.2.99.79 2.52 3.5 4.39 4.98 5.44 6.6 6.7 7.4 7.34 7.52 2.56 3.6 4.6 5.3 5.89 6.83 7.59 8.22 8.52 8.79 Vel Chnl (ft/s).32 2.2 3.8 6.4 8.59 2.44 2.3 22.2 48.5 9.4 44.55 9.3 232.32 38.6 376.97 44.74 78.78 4. 223.38 293.73 356.2 468.4 569.64 664.25 78.55 75.83 78.7 38.44 26.78 282.36 339.49 439.76 527.7 69.3 647.93 685.98 Flow Area (sq ft) 96.95 22.89 44.98 82.83 25.27 244.66 258.3 27.35 92.33 94.28 96.77 98.82.66 3.92 6.76 9.39 2.38 4.22 6.6 8.62 2.37 23.45 26.8 28.67 29.82 3.93.3.5.8..3.7.2 3.67 5.29 6.86 Top Width (ft).4.6.7.8...2.2...99..99.99.99.99.53.55.55.55.55.54.54.53.53.53.54.57.58.58.59.6.6.62.62.62.94 2.4 2.2 2.24 2.34 2.42 2.45 2.48 Froude # Chl

PLATE 3 8 8 8 8 8 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF PF PF 2 PF 3 PF 4 PF 5 PF 6 PF 7 PF 8 PF 9 PF 2. 5.. 5. 2. 3. 4. 5. 55. 6. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 2. 5.. 5. 2. 3. 4. 5. 55. 6. 878. 878. 878. 878. 878. 878. 878. 878. 878. 878. 898. 898. 898. 898. 898. 898. 898. 898. 898. 898. 94. 94. 94. 94. 94. 94. 94. 94. 94. 94. HEC-RAS Plan: Plan 22 River: E. Spillway Reach: (Continued) Reach River Sta Profile Q Total Min Ch El (cfs) (ft) 3 PF 9 55. 94. 3 PF 6. 94. 878.68 879.2 879.73 88.34 88.77 88.56 882.38 883.4 883.7 883.6 898.66 899.6 899.67 9.34 9.84 9.26 92.35 93.3 93.33 93.65 94.67 95.4 95.57 96. 96.39 97.4 98.4 99.9 99.39 99.7 W.S. Elev (ft) 98.73 99. 878.66 879.9 879.87 88.42 88.9 88.75 882.48 883.5 883.44 883.73 898.63 899.5 899.82 9.38 9.87 9.73 92.5 93.2 93.52 93.84 94.63 95.5 95.82 96.37 96.86 97.72 98.49 99.9 99.5 99.82 Crit W.S. (ft) 98.73 99. 878.98 879.77 88.76 88.53 882.2 883.38 884.37 885.25 885.68 886.5 898.94 899.73 9.73 9.52 92.24 93.6 94.6 95.59 96.6 96.5 94.94 95.74 96.77 97.63 98.38 99.74 9.56 9.54 92. 92.44 E.G. Elev (ft) 92.9 92.3.34.3477.368.2388.23299.25.837.5782.8586.6496.29687.378.32456.22966.227.29568.96.8457.8223.772.27464.465.3935.396.3778.375.8523.7473.7277.6859 E.G. Slope (ft/ft).6968.6592 4.4 6.58 8.32 8.99 9.95.29.88 2.35 3.47 3.38 4.3 6.6 8.36 8.83 9.63 2.5 2.3 3.7 3.6 3.95 4.2 6.77 8.85.37.48 3.4 2.7 2.9 3.34 3.69 Vel Chnl (ft/s) 2. 2.44 46.7 78.2 25.22 75.92 23.82 286.8 368.74 448.84 453. 5.82 46.83 76.49 2.8 74.27 24.7 248.5 339.75 399.59 426.65 455.43 48. 74.76 5.7 48.5 79.8 23.48 347.73 49.7 436.7 465.8 Flow Area (sq ft) 474.9 54.77 7.9 74.75 8.6 85.4 89.9 96.6 3.24 9.79.2 3.85 72.47 73.98 76.25 78.78 8.66 82.24 86.3 88.86 9. 9.9 72.75 74.23 76.42 78.6 79.77 82.4 87.98 9.78 92. 93.3 Top Width (ft).67.88.94..2.4.5.5..96.4..93.3.4.2..22.4.3.4.3.9.7.24.29.3.36.....98.98 Froude # Chl

PLATE 3

PLATE 32

Emergency Spillway Emergency Spillway RS = 4 lake.4.4 RS = 5..4.4 99.4.4 984 Legend Legend EG PF 9 98 EG PF 9 982 WS PF 9 WS PF 9 97 Ground Bank Sta 96 Ground Elevation (ft) Elevation (ft) Crit PF 9 95 98 Bank Sta 978 976 94-5 - -5 5 974-25 -2-5 - -5 5 5 Station (ft) Station (ft) Emergency Spillway Emergency Spillway RS = 5 us control.5.5 5 RS = ds control.5.5 984.5.5 984 Legend Legend EG PF 9 982 EG PF 9 982 WS PF 9 WS PF 9 98 Bank Sta 978 Ground Elevation (ft) Elevation (ft) Ground 976 98 Bank Sta 978 976 974-25 -2-5 - -5 5 974-25 -2-5 - -5 5 5 Station (ft) Emergency Spillway Emergency Spillway RS = 99.9 ds control 984 Station (ft). 5 5 RS = 96.7. 5 984 Legend EG PF 9 982. 5.7. 5 Legend EG PF 9 982 WS PF 9 Crit PF 9 98 Ground Bank Sta 978 976 974-6 WS PF 9 Elevation (ft) Elevation (ft) Crit PF 9 98 Ground Bank Sta 978 976-4 -2 Station (ft) 2 4 6 974-6 -4-2 2 4 6 Station (ft) PLATE 33

Emergency Spillway Emergency Spillway RS = 93 Wall vertical bend 984. 5.7 RS = 85 Wall vertical bend. 5 978 Legend EG PF 9 982. 5.7. 5 Legend EG PF 9 976 WS PF 9 978 Bank Sta Ground Crit PF 9 974 Elevation (ft) Elevation (ft) Crit PF 9 98 WS PF 9 Ground 972 Bank Sta 97 976 968 974 966 972-6 -4-2 2 4 964-6 6-4 2 Station (ft) Emergency Spillway Emergency Spillway RS = 8 transition 97-2 Station (ft). 5 4 6 RS = 77 ex. spillway steps.7. 5 97 Legend EG PF 9 968. 5.7. 5 Legend EG PF 9 968 WS PF 9 964 Bank Sta Ground Crit PF 9 966 Elevation (ft) Elevation (ft) Crit PF 9 966 WS PF 9 Ground 964 Bank Sta 962 962 96 96 958 958-6 -4-2 2 4 956-6 6-4 2 Station (ft) Emergency Spillway Emergency Spillway RS = 7 end wall 968-2 Station (ft). 5 4 6 RS = 69.9 ex. wall.7. 5 968 Legend EG PF 9 966. 5.7. 5 Legend EG PF 9 966 WS PF 9 962 Bank Sta Ground Crit PF 9 Elevation (ft) Elevation (ft) Crit PF 9 964 964 WS PF 9 962 Bank Sta Ground 96 96 958 958 956-6 -4-2 Station (ft) 2 4 6 956-6 -4-2 2 4 6 Station (ft) PLATE 34

Emergency Spillway Emergency Spillway RS = 6 toe 928. 5 RS = 53 toe.7. 5 926 Legend EG PF 9 926. 5.7. 5 Legend EG PF 9 924 WS PF 9 922 Bank Sta Ground Crit PF 9 Elevation (ft) Elevation (ft) Crit PF 9 924 922 WS PF 9 92 Bank Sta Ground 92 98 98 96 96-6 -4-2 2 4 94-6 6-4 2 4 Emergency Spillway Emergency Spillway 6 RS = 5 end wall.45. 5 93 Legend EG PF 9 928 Crit PF 9 926 922 WS PF 9 92 Bank Sta Ground. 5.45.5 Legend EG PF 9 WS PF 9 Ground Elevation (ft). 5 924 Elevation (ft) Station (ft) RS = 52.9 toe 926-2 Station (ft) 98 924 Bank Sta 922 92 98 96 96 94-6 -4-2 2 4 94-8 -6-4 -2 6 928 2 4 6 Station (ft) Emergency Spillway Emergency Spillway RS = 49.9 93 Station (ft). 5 8 RS = 3 ex. spillway.45.5.45 926.45.45 93 Legend Legend EG PF 9 928 EG PF 9 WS PF 9 926 WS PF 9 924 Bank Sta 922 92 Crit PF 9 Elevation (ft) Elevation (ft) Ground 924 Ground 922 92 98 98 96 96 94-8 -6-4 -2 2 Station (ft) 4 6 8 Bank Sta 94-8 -6-4 -2 2 4 6 8 Station (ft) PLATE 35

Emergency Spillway Emergency Spillway RS = 8 ex. channel.45 RS = 5 ex. channel.45.45.45 96 EG PF 9 94.45.45 9 Legend Legend EG PF 9 98 WS PF 9 9 Bank Sta Ground Crit PF 9 Elevation (ft) Elevation (ft) Crit PF 9 92 96 WS PF 9 94 Bank Sta Ground 98 92 96 9 94-6 -4-2 2 4 898-6 6 Station (ft) -4-2 2 4 6 Station (ft) Emergency Spillway RS = 3 ex. channel outlet.45.45.45 89 Legend EG PF 9 888 Elevation (ft) Crit PF 9 886 WS PF 9 884 Bank Sta Ground 882 88 878 - -8-6 -4-2 2 4 6 8 Station (ft) PLATE 36

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Downloaded from ascelibrary.org by William Barry on 8/2/2. For personal use only. No other uses without permission. Copyright (c) 22. American Society of Civil Engineers. All rights reserved. flow and main stream skimming flows: An experimental study. Can. J. Civ. Eng. 3共兲, 33-44. Henderson, F. M. 共966兲. Open channel flow, MacMillan, New York. Laali, A. R., and Michel, J. M. 共984兲. Air entrainment in ventilated cavities: Case of the fully developed half cavity. J. Fluids Eng., Trans ASME, Sept., 6, 327 335. Matos, J. 共2兲. Hydraulic design of stepped spillways over RCC dams. Intl Workshop on Hydraulics of Stepped Spillways, Zürich, Switzerland, H. E. Minor and W. H. Hager, eds., Balkema, Rotterdam, The Netherlands, 87 94. Michel, J. M. 共984兲. Some features of water flows with ventilated cavities. J. Fluids Eng., Trans ASME, Sept., 6, 39 326. Ohtsu, I, Yasuda, Y., and Takahashi, M. 共2兲. Characteristics of skimming flow over stepped spillways. J. Hydraul. Eng., 26共兲, 869 87. Shvajnshtejn, A. M. 共999兲. Stepped spillways and energy dissipation. Gidrotekh. Stroit., 5, 5 2 共in Russian兲. Silberman, E., and Song, C. S. 共96兲. Instability of ventilated cavities. J. Ship Res., 5共兲, 3 33. Toombes, L., and Chanson, H. 共2兲. Air-water flow and gas transfer at aeration cascades: A comparative study of smooth and stepped chutes. Int. Workshop on Hydraulics of Stepped Spillways, Zürich, Switzerland, Balkema, Rotterdam, The Netherlands, 77 84. Verron, J., and Michel, J. M. 共984兲. Base-vented hydrofoils of finite span under a free surface: An experimental investigation. J. Ship Res., 28共2兲, 9 6. Yasuda, Y., and Chanson, H. 共23兲. Micro- and macroscopic study of two-phase flow on a stepped chute. Proc., 3th IAHR Biennial Congress, Thessaloniki, Greece, J. Ganoulis and P. Prinos, eds., vol. D, 695 72. Yasuda, Y., and Ohtsu, I. 共999兲. Flow resistance of skimming flow in stepped channels. Proc., 28th IAHR Congress, Graz, Austria, session B4, 共CD-ROM兲. Discussion of Hydraulic Design of Stepped Spillways by Robert M. Boes and Willi H. Hager September 23, Vol. 29, No. 9, pp. 67 679. DOI:.6/共ASCE兲733-9429共23兲29:9共67兲 A. D. Ghare; P. D. Porey2; and R. N. Ingle3 Sr. Lecturer, Civil Engineering Dept., D. C. V. Raman Institute of Technology, Nagpur, India. 2 Professor, Civil Engineering Dept., Visvesvaraya National Institute of Technology, Nagpur, India. 3 Emeritus Fellow, Civil Engineering Dept., Visvesvaraya National Institute of Technology, Nagpur, India. The authors are to be complimented for presenting extensive experimental data on characteristics of aerated skimming flow over stepped spillways along with hydraulic design aspects of stepped spillways. The authors have focused their attention on various aspects, including onset of skimming flow, aeration characteristics, residual energy, and training wall design. Considering the applicability of the design guidelines, the discussers would like to know the height of stepped spillway in the experimental setup for all 3 cases. Further, the authors may clarify regarding the limiting height of prototype stepped spillways up to which the design guidelines presented in this paper could be applied. Fig.. Variation of Manning s n for different H쐓 values The discussers would also like to know the number of steps provided in each case and the location of first step along the spillway profile. Can the authors suggest any readily usable explicit guidelines from hydraulic considerations for deciding on the step height, apart from the given RCC lift thickness? Some other investigators, including Rice and Kadavy 共996兲, Yildiz and Kas 共998兲, Chamani and Rajaratnam 共999兲 have indicated that the step height s affects the energy dissipation over stepped spillway. Eq. 共24兲 includes K, the roughness height perpendicular to the pseudobottom, which can be considered to be a representative term for step height s. In the last paragraph on energy dissipation, it is mentioned that Fig. 2 gives an idea of main parameters involved in the expression of relative residual energy. However, Fig. 2 does not indicate effect of any step height parameter on relative residual energy head ratio 关Hres / Hmax兴. Fig. 共兲 shows a plot compiled by discussers based on experimental data obtained by Ghare 共23兲 and Yildiz and Kas 共998兲, which show the effect of step height on Manning s equivalent n for a stepped spillway. In this plot H* is considered a ratio of spillway height to step height. Can authors provide any other dimensionless plot that covers all the main parameters including step height s affecting the performance of the stepped spillway under skimming flow regime? Proposed Eq. 共24兲 is based on the results obtained from Eqs. 共2兲 and 共2兲. Hence the use of Eq. 共24兲 appears to be a tedious process. As indicated by the authors in Fig. 共2兲, the variation in relative residual energy head ratio for = 4 and 5 is not appreciable; hence a simpler relationship for relative residual energy can be presented eliminating as a variable. The resulting relationship would be applicable for greater than 4. Without a properly designed energy dissipation system on the downstream side, the hydraulic design of a stepped spillway system would be incomplete. The discussers would like to know the opinion of the authors regarding the applicability of the conventional conjugate depth relationship for stilling basin design in case of a stepped spillway where highly aerated flow near the toe of the spillway is encountered. References Chamani, M. R., and Rajaratnam, N. 共999兲. Characteristics of skimming flows over stepped spillways. J. Hydr. Engrg. 25共4兲, 36 367. 524 / JOURNAL OF HYDRAULIC ENGINEERING ASCE / JUNE 25 J. Hydraul. Eng. 25.3:525-527. 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Downloaded from ascelibrary.org by William Barry on 8/2/2. For personal use only. No other uses without permission. Copyright (c) 22. American Society of Civil Engineers. All rights reserved. (hw,e hw,e2)/2.87 m in the continuity equation yields a terminal velocity of v w,e q d /h w,e 2/.87 23 m/s. If the chute was long enough for the attainment of uniform flow, i.e., H dam H dam,u 7 m, the normalized residual head would read H res /H max.36 according to Eq. 共24b兲, with f b.67 from Eq. 共2兲, D h,w,u 4h w,u 4.8 3.2 m and. K/D h,w,u.23.. In this case, 64% of the flow energy of H max 75.2 m would be dissipated on the spillway, and the terminal velocity would amount to v w,e 2/.8 25 m/s. Training Wall Design With.2 for concrete dams, the required sidewall height from Eq. 共25兲 is h d 2.9 m, with h 9,u.74 m from Eq. 共5兲. A sidewall height of 2. m is proposed. If the downstream dam face were prone to erosion, and if it were essential to avoid overtopping of the training walls, distinction should be made about whether the crest profile above the point of tangency is smooth or stepped. In the latter case, the required wall height should be at least h d.5h 9,u 2.6 m, whereas for a smooth crest profile, the wall height should be h d h spray 4s 4.2 4.8 m over about L 25s 25.2 3 m from the crest to allow for the spray resulting from nappe impact on the first steps below the smooth crest 共Boes and Minor 22兲. Conclusions The following findings of the present experimental study apply:. The onset of skimming flow is expressed by the ratio of critical depth to step height and follows a linear function as expressed in Eq. 共兲. 2. The uniform equivalent clear water depth h w,u on stepped spillways depends on the chute angle and unit discharge only, as given in Eq. 共4兲. 3. The characteristic uniform mixture depth h 9,u according to Eq. 共5兲 is a function of step height, unit discharge and chute angle. 4. The drawdown length to the approximate location of uniform flow attainment as given in Eq. 共3兲 depends on chute angle and unit discharge only. 5 The bottom roughness friction factor is approximated for a wide range of spillway angles and relative roughness by Eq. 共2兲 or 共2兲. 6. The significant effect of aeration on the reduction of friction factors is illustrated by the ratio f w / f m as function of the mean air concentration, Eq. 共22兲, where f w and f m are friction factors with and without consideration of flow aeration, respectively. 7. A general expression of residual energy head along stepped chutes is given in Eq. 共24兲, with distinction between developing and uniform flow regions. 8. Stepped spillway training walls should be designed according to Eq. 共25兲, taking into account the erosion potential of the downstream dam face. These conclusions in conjunction with the results of Boes and Hager 共23兲 allow for the hydraulic design of stepped spillways for a wide range of boundary conditions including typical applications both for embankment and gravity dams. Acknowledgment The present project was financed by the Swiss National Science Foundation, Grant No. 2-45424.95. The assistance of Professor Y. Yasuda, Nihon University, Tokyo, in providing experimental data is also gratefully acknowledged. Notation The following symbols are used in this paper: b spillway or river width; C depth-averaged air concentration; C i depth-averaged air concentration at inception point; C u uniform depth-averaged air concentration; C(y) local air concentration; D h,w 4R h,w hydraulic diameter; D h,eff wd h,w effective hydraulic diameter; F u/(gh) /2 local Froude number; F q w /(gh 3 ) /2 approach Froude number at jetbox; F q w /(g sin s3)/2 roughness Froude number; * f Darcy Weisbach friction factor of unaerated flow; f b friction factor of bottom roughness; f m Darcy Weisbach friction factor in two-phase flow without consideration of aeration; f s skin friction factor of sidewall roughness; f w Darcy Weisbach friction factor in two-phase flow with consideration of aeration; g gravitational acceleration; H dam vertical spillway or dam height; H dam,u vertical distance from spillway crest to close uniform equivalent clear water flow; H max maximum reservoir energy head; H res residual energy head; h local flow depth; h c critical depth; h d training wall design height; h m mixture depth; h m,i mixture depth at inception point; h spray spray height resulting from nappe impact on steps; h u uniform flow depth; h w ( C )h 9 equivalent clear water depth; h w,e clear water depth at chute end; h w,i clear water depth at inception point; h w,u uniform equivalent clear water depth; h 9 h(c.9) characteristic mixture depth with local air concentration of C.9; h approach flow depth at jetbox; h 9,u uniform characteristic mixture depth; K s cos roughness height perpendicular to pseudobottom; L i black water length from spillway crest to inception point; L s s/sin K/(sin cos ) 2K/sin(2 ) distance between step edges, roughness spacing; Q d design discharge; Q w water discharge; q d design discharge per unit width; q w water discharge per unit width; R ud h,w / Reynolds number; R h,w hydraulic radius; S f friction slope; s step height; u flow velocity in x direction; v m,i mixture velocity at inception point; v w,e clear water velocity at chute end; 678 / JOURNAL OF HYDRAULIC ENGINEERING ASCE / SEPTEMBER 23 J. Hydraul. Eng. 23.29:67-679. PLATE 4