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Surface Drainage. CE 453 Lecture 25. Objectives Identify rural drainage requirements and design Ref: AASHTO Highway Drainage Guidelines (1999), Iowa DOT Design Manual Chapter 4 and Model Drainage Manual (2005). Surface Drainage. A means by which surface water is removed from pavement and ROW
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Surface Drainage CE 453 Lecture 25
Objectives • Identify rural drainage requirements and design • Ref: AASHTO Highway Drainage Guidelines (1999), Iowa DOT Design Manual Chapter 4 and Model Drainage Manual (2005)
Surface Drainage • A means by which surface water is removed from pavement and ROW • Redirects water into appropriately designed channels • Eventually discharges into natural water systems Garber & Hoel, 2002
Surface Drainage • Two types of water • Surface water – rain and snow • Ground water – can be a problem when a water table is near surface Garber & Hoel, 2002
Inadequate Drainage • Damage to highway structures • Loss of capacity • Visibility problems with spray and loss of retroreflectivity • Safety problems, reduced friction and hydroplaning Garber & Hoel, 2002
Drainage • Transverse slopes • Removes water from pavement surface • Facilitated by cross-section elements (cross-slope, shoulder slope) • Longitudinal slopes • Minimum gradient of alignment to maintain adequate slope in longitudinal channels • Longitudinal channels • Ditches along side of road to collect surface water after run-off
Surface Drainage System Design Tradeoffs: Steep slopes provide good hydraulic capacity and lower ROW costs, but reduce safety and increase erosion and maintenance costs
Surface Drainage System Design Three phases • Estimate of the quantity of water to reach the system • Hydraulic design of system elements • Comparison of different materials that serve same purpose
Hydrologic Analysis: Rational Method Useful for small, usually urban, watersheds (<10acres, but DOT says <200acres) Q = CIA (english) or Q = 0.0028CIA (metric) Q = runoff (ft3/sec) or (m3/sec) C = coefficient representing ratio or runoff to rainfall I = intensity of rainfall (in/hour or mm/hour) A = drainage area (acres or hectares) Iowa DOT Design Manual, Chapter 4, The Rational Method
Runoff Coefficient • Coefficient that represents the fraction of rainfall that becomes runoff • Depends on type of surface Iowa DOT Design Manual, Chapter 4, The Rational Method
Runoff Coefficient depends on: • Character of soil • Shape of drainage area • Antecedent moisture conditions • Slope of watershed • Amount of impervious soil • Land use • Duration • Intensity
Runoff Coefficient - rural Iowa DOT Design Manual, Chapter 4, The Rational Method
Runoff Coefficient - urban Iowa DOT Design Manual, Chapter 4, The Rational Method
Runoff Coefficient For High Intensity Event (i.e. 100-year storm) Iowa DOT Design Manual, Chapter 4, The Rational Method
Runoff Coefficient For High Intensity Event (i.e. 100-year storm) C = 0.16 for low intensity event for cultivated fields C = 0.42 for high intensity event Iowa DOT Design Manual, Chapter 4, The Rational Method
Runoff Coefficient • When a drainage area has distinct parts with different C values • Use the weighted average C = C1A1 + C2A2 + ….. + CnAn ΣAi
Watershed Area • For DOT method measured in hectares • Combined area of all surfaces that drain to a given intake or culvert inlet • Determine boundaries of area that drain to same location • i.e high points mark boundary • Natural or human-made barriers
Watershed Area • Topographic maps • Aerial photos • Digital elevation models • Drainage maps • Field reviews
Intensity • Average intensity for a selected frequency and duration over drainage area for duration of storm • Based on “design” event (i.e. 50-year storm) • Overdesign is costly • Underdesign may be inadequate • Duration is important • Based on values of Tc and T • Tc = time of concentration • T = recurrence interval or design frequency
Design Event Recurrence Interval • 2-year interval -- Design of intakes and spread of water on pavement for primary highways and city streets • 10-year interval -- Design of intakes and spread of water on pavement for freeways and interstate highways • 50 - year -- Design of subways (underpasses) and sag vertical curves where storm sewer pipe is the only outlet • 100 – year interval -- Major storm check on all projects
Time of Concentration (tc) • Time for water to flow from hydraulically most distant point on the watershed to the point of interest • Rational method assumes peak run-off rate occurs when rainfall intensity (I) lasts (duration) >= Tc • Used as storm duration • Iowa DOT says don’t use Tc<5 minutes
Time of Concentration (Tc) • Depends on: • Size and shape of drainage area • Type of surface • Slope of drainage area • Rainfall intensity • Whether flow is entirely overland or whether some is channelized
Tc: Equation from Iowa DOT Manual See nomograph, next page
Nomograph Method • Trial and error method: • Known: surface, size (length), slope • Look up “n” • Estimate I (intensity) • Determine Tc • Check I and Tc against values in Table 5 (Iowa DOT, Chapter 4) • Repeat until Tc (table)~ Tc (nomograph) • Peak storm event occurs when duration at least = Tc
Example (Iowa DOT Method) • Iterative finding I and Tc • L = 150 feet • Average slope, S = 0.02 (2%) • Grass • Recurrence interval, T = 10 years • Location: Keokuk • Find I From Iowa DOT Design Manual
knowns Tc=18 First guess I = 5 in/hr
Example (continued) • Tc with first iteration is 18 min • Check against tables in DOT manual Keokuk is in SE: code = 9
For intensity of 5 inch/hr, Duration is 15 min Tc from nomograph was 18 min ≠ 15 min Tc ≠ Duration Next iteration, try intensity = 4.0 inch/hr
Slope = 0.02 I = 4.0 inches/hr Tc = 20 min For second iteration, tc = 20 min
Example (continued) I = 4.0 inches/hour is somewhere between 30 min and 15 min, Interpolate … OK!
What does this mean? • It means that for a ten-year storm, the greatest intensity to be expected for a storm lasting at least the Tc (18 min.) is 4.0 inches per hour … • that is the design intensity
Can also use equation, an example is provided in Chapter 4-4 of the Iowa DOT manual
Rational method • used for mostly urban applications • limited to about 10 acres in size • Q = CIA • Calculate once C, I, and A have been found
Area • Area of watershed • Defined by topography • Use GIS contours in lab
Lab-type Example • 60-acre watershed • 50-year storm • Mixed cover • Rolling terrain
What would the flow have been had we used the rational method? • Q=CIA • Say, c = 0.2 (slightly pervious soils) • I=? Assume round watershed of 60 acres = 60/640 = 0.093 sq mi … L=D≈1800’ , assume slope=4% (rolling?) … Tc for I=6in/h = 41 min vs. 60 min … I=4.8in/h = 45 min vs. 30 min … call it 5.5in/h • A=60 … Q=.2×5.5×60 = 66 CFS vs. 108 cfs