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HYDROGRAPHS / SCS CURVE NUMBER METHOD Runoff

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  • HYDROGRAPHS / SCS CURVE NUMBER METHODRunoff

  • Runoff is the result of a precipitation eventStreamflow is baseflow + runoff that makes it to the stream channel.Runoff vs. Streamflow

  • What is a watershed?A watershed is the entire drainage area of a stream or river, from which the surface and groundwater leave at a single point. Watersheds are defined by surface topography (elevation).River basins are drained by large rivers with many tributaries are typically calledWatersheds are drained by tributaries or small streams

  • Watershed

  • Watershed Factors that Affect Surface RunoffTopographySurface runoff occurs in the direction of land slopePerpendicular to the contour linesLand slope has a significant effect on water velocityOverland flowChannel flow

  • Elevation Contours with Surface Runoff

  • Watershed Factors that Affect Surface RunoffWatershed shapeCircular watershed higher rates of runoffRunoff from different points reach outlet at same timeElongated watershed lower rates than circularDownstream tributaries reach outlet firstSoilControls the infiltration processLand useVegetative cover reduces runoff

  • Watershed Shapes

  • Watershed Factors that Affect Surface RunoffLand useVegetative cover reduces runoffImproves soil structureDepletes soil moisture dry antecedent moistureBare soil increased runoffPoor structureLess permeable surface sealingFine soil particles washed into larger soil pores

  • Flow measurement

  • How is flow measured?

  • Surface Runoff CharacteristicsHydrograph plot of runoff rates vs. timeExcess rainfall rainfall that runs offDepth measurement over watershedSimilar to rainfall measurementsExcess rainfall depth (ft) x area (ft2) = runoff volume (ft3)Excess rainfall volume = surface runoff volume

  • Time (T)Stream Hydrograph

  • Storm Hydrograph(Surface runoff only / base flow removed)Discharge (Q)QpTime (T)Peak dischargeRising limbRecession limbTbase

  • Storm Hydrograph(Surface runoff only / base flow removed)Discharge (Q) in cfsTime (T) in HrArea under the curve = surface runoff volume[Q(ft3/sec) x T(sec) = Volume (ft3)]Triangle #1: V1 = (100 x 3600) / 2 = 180,000 ft3Triangle #2: V2 = (100 x (14,400 3,600)) / 2 = 540,000 ft3Total Surface Runoff Volume = V1 + V2 = 720,000 ft310014(3600 sec)(14,400 sec)#2#1

  • Surface Runoff AnalysisTotal rainfall = 4.0 in.Watershed area = 132.2 ac = 5,760,000 ft2Total surface runoff = 720,000 ft3From the hydrograph analysisRunoff depth over watershed = excess rainfallDepth = 720,000 ft3 / 5,760,000 ft2 = 0.125 ft = 1.5 in.Average runoff rate = 1.5 in. / 4 hr = 0.38 in./hrGet the 4-hr from the hydrograph (x-axis)

  • Runoff HydrographsComplete Runoff Hydrograph Contains:Runoff Volume-Area under the hydrographPeak Flow Rates-maximum flow or peak of the runoff hydrograph.A complete time history of the flow.

    For small watersheds we ignore baseflow so that:Runoff=effective rainfall=precipitation - abstractions

  • Development of RO HydrographsMost often interested in hydrographs at the watershed outlet (and possibly some selected points in the watershed).We modify the rainfall hyetograph to reflect watershed characteristics.The volume under the effective rainfall hyetograph is equal to the volume of surface runoff.

  • Hydrograph componentsqp is the maximum flow rate on the hydrographtp (time to peak) is the time from the start of they hydrograph to qp.tb (base time) is the total time duration of the hydrograph.

  • Comparison of Urban andForested Hydrographs

  • Comparison of Upstream and Downstream Hydrographs

  • Effective RainfallTHE SCS CURVE NUMBER APPROACH

  • Effective RainfallRainfall that becomes runoff.Effective Rainfall = Precipitation Initial AbstractionsAlso called Rainfall Excess.Effective Rainfall=Rainfall Excess=Runoff

  • SCS Curve Number Approach The most commonly used methodSCS method for rainfall excesscombines infiltration losses and other initial losses (interception / surface storage / etc)estimate of excess rainfall (surface runoff)

    Q = [(P - 0.2S)^2] / (P + 0.8S) for P > 0.2SQ = accumulated runoff volumeP = accumulated precipitationS = max soil water retention constantS = (1000 / CN) - 10 (Q,P and S = in.)S = (25400 / CN) -254 (Q,P & S = mm)

  • The 0.2S FactorThe precipitation must exceed 0.2S before runoff occurs0.2S = Initial abstraction (Ia) that includes:Surface depressionsVegetation interceptionEvaporationInfiltrationS = Potential maximum retention after surface runoff begins

  • Hydrologic Soil Groups (HSG)4 hydrologic soil groups => A,B,C,DA = sand, loamy sand or sandy loamB = silt loam or loamC = sandy clay loamD = clay loam, silty clay loam, sandy clay, silty clay or claybased on surface soil texturewhen choosing a group must consider:compaction by heavy equipment, exposure of subsoil, etc.

  • HSGs based on Saturated Hydraulic Conductivity (Ksat)A soil (high infiltration rates)Ksat > 0.30 in./hrB soil (moderate infiltration rates)0.15 in./hr < Ksat < 0.30 in./hrC soil (slow infiltration rates)0.05 in./hr < Ksat < 0.15 in./hrD soil (very slow infiltration rates)Ksat < 0.05 in./hrSee Appendix D for a list of the most common soils in each state with HSG type (A, B, C or D)

  • Curve Numbers (CN) and Antecedent Moisture ConditionsCN = SRO potential of areaTable 5.1 (very limited)See other references for more extensive listingCN's developed for land use / land treatment combinationsAntecedent moisture conditions I, II, IIIcondition I => initially dry soilcondition II => average soil moisturecondition II => Table 5.1condition III=> initially wet soil

  • Curve NumberA parameter that combines soil type and land use to estimate runoff potential.

    Based on the Hydrologic Soil Group (HSG), land use and condition.

    Range between 0 and 100. The greater the curve number, the greater the potential for runoff.

    Impervious areas and water surfaces are assigned curve numbers of 98-100.

  • Curve Numbers

  • Curve Numbers (CN) and Antecedent Moisture ConditionsCN for conditions I and III can be adjusted using condition II CN'sSee Table 5.2Adjustment based on 5-day antecedent rainSee page 145 for detailsCN develop from experimental plotslots of measured rainfall / runoff datathroughout the U.S.CN's correlated w/ land useGood for higher infiltration ratesNot so good for lower infiltration rates

  • Curve Numbers for Impervious SurfacesImpervious areasImpervious areas ==> CN = 98 to 100expressed as % of total areadirectly connected => flow directly to a drainage system (gutters, sewers, etc)

  • Area Weighted Curve NumberMixed land uses and HSG'sCalculate an area-weighted CNGet a single CN for the entire areaCN = Si AiCNi) / (Si Ai)CNi = CN for the part of catchment having area Ai

  • Example ProblemGiven:Precipitation (P) = 4.04 in.A watershed that has:35% cultivated with a D soil group30% meadow with a B soil group35% thin forest with a C soil groupRequired:Calculate the surface runoff (excess rainfall)

  • Watershed with Land Use % and HSGs Listed

  • Example ProblemFind the curve numbersUseHSG%CN*Cultivated D3591Meadow B3058Thin Forest C3577*Table 5.1 text (reference is important)

    Calculate a weighted CNWeights based on % areaCNavg = 0.35(91) + 0.30(58) + 0.35(77)CN avg = 76.2 = 76

  • Example ProblemCalculate the S termS = 1000 / CN 10 = (1000 / 76) 10S = 3.16 in.

    Check to see if P > 0.2S0.2S = 0.2(3.16) = 0.63 in. P > 0.2S

    Calculate surface runoff (Q)Q = [(P - 0.2S)^2] / (P + 0.8S)Q = [(4.04 0.2(3.16)]2 / [4.04 + ((0.8)3.16)]Q = 1.77 in.For a rainfall event = 4.04 in. on the given watershed with average soil moisture conditions

    Repeat for all Rainfall Blocks.

  • Rainfall Hyetograph

    Chart4

    0

    477.3008373727

    2867.2533846902

    5805.9264184831

    7532.1757689884

    7656.3325641436

    6669.7014382484

    5223.3094098887

    3783.8665077444

    2582.6932971432

    1681.9637978282

    1054.5361884687

    640.741335853

    379.196218895

    219.4333308726

    124.550098132

    69.5141382742

    38.2275993779

    20.7486892632

    11.1308851879

    5.9090133251

    3.1073560153

    1.6200943506

    0.8380970045

    0.4304691732

    0.219653076

    Time (hrs)

    Flow (cfs)

    8-hr 50-yr Runoff Hydrograph for BCS

    Chart3

    0000

    5.7932950768477.30083737271133.7853954677197.9254016073

    119.25948246262867.25338469026810.90364425371188.9823634052

    777.06351669465805.926418483113791.45826910882407.5807710836

    3367.2843400037532.175768988417892.00901046513123.4156685328

    11300.56812710387656.332564143618186.93235874563174.900563633

    24463.25331453586669.701438248415843.27847493662765.7679023413

    36707.53560022345223.309409888712407.50374028072165.983236824

    43259.5970468543783.86650774448988.23603263481569.0802100749

    43477.87658844822582.69329714326134.9566394891070.9820055613

    38819.85911843381681.96379782823995.3543768749697.4707230906

    31550.04155333161054.53618846872504.9562788519437.2912894119

    23772.5381949608640.7413358531522.0236630245265.7003220928

    16846.8858782636379.196218895900.7466598347157.243729816

    11355.0711221729219.4333308726521.244226579790.9938276623

    7342.7913245836124.550098132295.857604280451.6479885698

    4586.500146657969.5141382742165.124610272328.8258738682

    2782.102576146338.227599377990.806238926915.8520839834

    1645.835069771720.748689263249.28665323798.6039921444

    952.820886306611.130885187926.440420964.6157156002

    541.33008764715.909013325114.0363319842.4503284803

    302.50934131853.10735601537.38124594141.2885472623

    166.59911222551.62009435063.84838904550.6718149223

    90.56531754460.83809700451.99082438010.3475390639

    48.66285177860.43046917321.0225409710.1785054148

    25.87522052430.2196530760.52176621140.0910849508

    13.6273687768

    7.0964256939

    3.6304721209

    1.6226063751

    0.5664174991

    0.2241156297

    0.0678808139

    0

    Total Runoff

    Unit Hydrograph

    Block 5

    Block 7

    Time (Hours)

    Flow (cfs)

    Total Runoff Hydrograph and Unit Hydrograph for 8-hr 50-yr Storm

    Sheet8

    CN91

    S0.989

    0.2 S0.198

    8-hr 50-yr Storm

    P249.8inAccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PTimePPRainfallRainfall

    8.00.1141.120.00.000.000.000.00

    9.00.1461.431.00.310.310.010.01

    10.00.1891.852.00.420.730.190.18

    11.00.2502.453.00.601.330.610.42

    12.00.5004.904.02.453.782.812.20

    13.00.7507.355.02.456.235.192.38

    14.00.8117.956.00.606.835.770.59

    15.00.8548.377.00.427.256.190.41

    16.00.8868.688.00.317.576.500.31

    7.576.50

    Sheet7

    CN80

    S2.5

    0.2 S0.5

    8-hr 50-yr Storm

    P249.8inAccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PTimePPRainfallRainfall

    8.00.1141.120.00.000.000.000.00

    9.00.1461.431.00.310.310.000.00

    10.00.1891.852.00.420.730.020.02

    11.00.2502.453.00.601.330.210.19

    12.00.5004.904.02.453.781.861.66

    13.00.7507.355.02.456.233.992.13

    14.00.8117.956.00.606.834.540.55

    15.00.8548.377.00.427.254.930.39

    16.00.8868.688.00.317.575.220.29

    7.575.22

    Sheet5

    8-hr 50-yr Storm in Bryan-College Station

    P24=9.8in

    ABCDEFGH

    AccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PTimePPRainfallRainfall

    8.00.1141.120.00.000.00

    9.00.1461.431.00.310.31

    10.00.1891.852.00.420.73

    11.00.2502.453.00.601.33

    12.00.5004.904.02.453.78

    13.00.7507.355.02.456.23

    14.00.8117.956.00.606.83

    15.00.8548.377.00.427.25

    16.00.8868.688.00.317.57

    7.57

    A-BCoordinates for 8 most intense hours (1 hour increments) of the SCS Type III storm (Table 3.4)

    CColumn B X P24 from 50-yr 24-hr storm for BCS (Appendix 3A)

    DTime from beginning of the 8 hour storm

    EDifferencing of Column C to get Incremental P starting with 0 rain at 0 time. (i.e. E9=C9-C8)

    FAccumulation from Column E (F9=F8+E9)

    G

    H

    Sheet10

    Total Runoff Hydrograph for 8-hr 50-yr Storm

    Total

    UnitRunoff

    TimeHydrograph0.0120.1770.4172.2032.3750.5870.4150.309Hydrograph

    0.00.00

    1.0477.30

    2.02867.25

    3.05805.93

    4.07532.18

    5.07656.33

    6.06669.70

    7.05223.31

    8.03783.87

    9.02582.69

    10.01681.96

    11.01054.54

    12.0640.74

    13.0379.20

    14.0219.43

    15.0124.55

    16.069.51

    17.038.23

    18.020.75

    19.011.13

    20.05.91

    21.03.11

    22.01.62

    23.00.84

    24.00.43

    25.00.22

    26.0

    27.0

    28.0

    29.0

    30.0

    31.0

    32.0

    33.0

    Sheet4

    Total Runoff Hydrograph for 8-hr 50-yr Storm

    Total

    UnitRunoff

    TimeHydrograph0.0120.1770.4172.2032.3750.5870.4150.309Hydrograph

    0.00.000.000.00

    1.0477.305.790.005.79

    2.02867.2534.8084.460.00119.26

    3.05805.9370.47507.36199.240.00777.06

    4.07532.1891.421027.351196.861051.650.003367.28

    5.07656.3392.931332.812423.526317.521133.790.0011300.57

    6.06669.7080.951354.783144.1012792.406810.90280.120.0024463.25

    7.05223.3163.401180.203195.9216595.9013791.461682.73197.930.0036707.54

    8.03783.8745.93924.262784.0816869.4617892.013407.371188.98147.5043259.60

    9.02582.6931.35669.552180.3314695.5818186.934420.472407.58886.0943477.88

    10.01681.9620.42457.001579.4711508.7015843.284493.333123.421794.2438819.86

    11.01054.5412.80297.621078.078337.1212407.503914.303174.902327.7231550.04

    12.0640.747.78186.60702.095690.548988.243065.442765.772366.0923772.54

    13.0379.204.60113.38440.193705.936134.962220.672165.982061.1816846.89

    14.0219.432.6667.10267.462323.503995.351515.731569.081614.1911355.07

    15.0124.551.5138.83158.291411.772504.96987.111070.981169.357342.79

    16.069.510.8422.0491.60835.501522.02618.88697.47798.154586.50

    17.038.230.4612.3051.99483.49900.75376.04437.29519.792782.10

    18.020.750.256.7629.02274.43521.24222.54265.70325.891645.84

    19.011.130.143.6715.96153.16295.86128.78157.24198.01952.82

    20.05.910.071.978.6684.23165.1273.1090.99117.19541.33

    21.03.110.041.054.6545.7290.8140.8051.6567.81302.51

    22.01.620.020.552.4724.5349.2922.4328.8338.49166.60

    23.00.840.010.291.3013.0226.4412.1815.8521.4890.57

    24.00.430.010.150.686.8514.046.538.6011.8148.66

    25.00.220.000.080.353.577.383.474.626.4125.88

    26.00.040.181.853.851.822.453.4413.63

    27.00.090.951.990.951.291.837.10

    28.00.481.020.490.670.963.63

    29.00.520.250.350.501.62

    30.00.130.180.260.57

    31.00.090.130.22

    32.00.070.07

    33.00.00

    304335.05

    Sheet6

    8-hr 50-yr Storm for BCS

    CN(III)91

    S0.989

    0.2 S0.1978

    P249.8inAccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PPPRainfallRainfall

    8.00.1141.120.000.000.0000

    9.00.1461.430.310.310.0120.012

    10.00.1891.850.420.730.1890.177

    11.00.2502.450.601.330.6070.417

    12.00.5004.902.453.782.8102.203

    13.00.7507.352.456.235.1852.375

    14.00.8117.950.606.835.7720.587

    15.00.8548.370.427.256.1870.415

    16.00.8868.680.317.576.4960.309

    7.576.496

    Sheet1

    8-hr 50-yr Storm for BCS

    CN(III)91tp4.57

    S0.989qp7777.89

    0.2 S0.1978K3.78

    P249.8inAccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PPPRainfallRainfallTimeRunoff

    8.00.1141.120.000.000.00000.00

    9.00.1461.430.310.310.0120.0121.0477.3008373727

    10.00.1891.850.420.730.1890.1772.02867.2533846902

    11.00.2502.450.601.330.6070.4173.05805.9264184831

    12.00.5004.902.453.782.8102.2034.07532.1757689884

    13.00.7507.352.456.235.1852.3755.07656.3325641436

    14.00.8117.950.606.835.7720.5876.06669.7014382484

    15.00.8548.370.427.256.1870.4157.05223.3094098887

    16.00.8868.680.317.576.4960.3098.03783.8665077444

    7.576.4969.02582.6932971432

    10.01681.9637978282

    11.01054.5361884687

    12.0640.741335853

    13.0379.196218895

    14.0219.4333308726

    15.0124.550098132

    16.069.5141382742

    17.038.2275993779

    18.020.7486892632

    19.011.1308851879

    20.05.9090133251

    21.03.1073560153

    22.01.6200943506

    23.00.8380970045

    24.00.4304691732

    25.00.219653076

    Sum (qi)=46850.7265918001

    Chart1

    0

    0.3136

    0.4214

    0.5978

    2.45

    2.45

    0.5978

    0.4214

    0.3136

    Time (hrs)

    Precipitation

    Rainfall Hyetograph for 8-hr 50-yr Storm for BCS

    Chart2

    0

    0.0121376177

    0.1769488979

    0.4174224299

    2.2033347363

    2.375410447

    0.5868778926

    0.4146764181

    0.3090364821

    Time (Hrs)

    Flow (in)

    Effective Rainfall Hyetograph for BCS for 8-hr 50-yr Storm Using SCS Curve Number Method

    Sheet2

    Incremental

    IncrementalEffective

    PRainfall

    00.0000.000

    0.50.3140.012

    1.50.4210.177

    2.50.5980.417

    3.52.4502.203

    4.52.4502.375

    5.50.5980.587

    6.50.4210.415

    7.50.3140.309

    Sheet9

    8-hr 50-yr Storm for BCS

    CN(III)91tp

    S0.989qp

    0.2 S0.1978K

    P249.8inAccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PPPRainfallRainfallTimeRunoff

    8.00.1141.120.000.000.0000

    9.00.1461.430.310.310.0120.012

    10.00.1891.850.420.730.1890.177

    11.00.2502.450.601.330.6070.417

    12.00.5004.902.453.782.8102.203

    13.00.7507.352.456.235.1852.375

    14.00.8117.950.606.835.7720.587

    15.00.8548.370.427.256.1870.415

    16.00.8868.680.317.576.4960.309

    7.576.496

    Sheet3

    8-hr 50-yr Storm for BCS

    CN(III)91tp

    S0.989qp

    0.2 S0.1978K

    P249.8inAccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PPPRainfallRainfallTimeRunoff

    8.00.1141.120.000.000.0000

    9.00.1461.430.310.310.0120.012

    10.00.1891.850.420.730.1890.177

    11.00.2502.450.601.330.6070.417

    12.00.5004.902.453.782.8102.203

    13.00.7507.352.456.235.1852.375

    14.00.8117.950.606.835.7720.587

    15.00.8548.370.427.256.1870.415

    16.00.8868.680.317.576.4960.309

    7.576.496

  • Effective Rainfall Hyetograph

    Chart4

    0

    477.3008373727

    2867.2533846902

    5805.9264184831

    7532.1757689884

    7656.3325641436

    6669.7014382484

    5223.3094098887

    3783.8665077444

    2582.6932971432

    1681.9637978282

    1054.5361884687

    640.741335853

    379.196218895

    219.4333308726

    124.550098132

    69.5141382742

    38.2275993779

    20.7486892632

    11.1308851879

    5.9090133251

    3.1073560153

    1.6200943506

    0.8380970045

    0.4304691732

    0.219653076

    Time (hrs)

    Flow (cfs)

    8-hr 50-yr Runoff Hydrograph for BCS

    Chart3

    0000

    5.7932950768477.30083737271133.7853954677197.9254016073

    119.25948246262867.25338469026810.90364425371188.9823634052

    777.06351669465805.926418483113791.45826910882407.5807710836

    3367.2843400037532.175768988417892.00901046513123.4156685328

    11300.56812710387656.332564143618186.93235874563174.900563633

    24463.25331453586669.701438248415843.27847493662765.7679023413

    36707.53560022345223.309409888712407.50374028072165.983236824

    43259.5970468543783.86650774448988.23603263481569.0802100749

    43477.87658844822582.69329714326134.9566394891070.9820055613

    38819.85911843381681.96379782823995.3543768749697.4707230906

    31550.04155333161054.53618846872504.9562788519437.2912894119

    23772.5381949608640.7413358531522.0236630245265.7003220928

    16846.8858782636379.196218895900.7466598347157.243729816

    11355.0711221729219.4333308726521.244226579790.9938276623

    7342.7913245836124.550098132295.857604280451.6479885698

    4586.500146657969.5141382742165.124610272328.8258738682

    2782.102576146338.227599377990.806238926915.8520839834

    1645.835069771720.748689263249.28665323798.6039921444

    952.820886306611.130885187926.440420964.6157156002

    541.33008764715.909013325114.0363319842.4503284803

    302.50934131853.10735601537.38124594141.2885472623

    166.59911222551.62009435063.84838904550.6718149223

    90.56531754460.83809700451.99082438010.3475390639

    48.66285177860.43046917321.0225409710.1785054148

    25.87522052430.2196530760.52176621140.0910849508

    13.6273687768

    7.0964256939

    3.6304721209

    1.6226063751

    0.5664174991

    0.2241156297

    0.0678808139

    0

    Total Runoff

    Unit Hydrograph

    Block 5

    Block 7

    Time (Hours)

    Flow (cfs)

    Total Runoff Hydrograph and Unit Hydrograph for 8-hr 50-yr Storm

    Sheet8

    CN91

    S0.989

    0.2 S0.198

    8-hr 50-yr Storm

    P249.8inAccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PTimePPRainfallRainfall

    8.00.1141.120.00.000.000.000.00

    9.00.1461.431.00.310.310.010.01

    10.00.1891.852.00.420.730.190.18

    11.00.2502.453.00.601.330.610.42

    12.00.5004.904.02.453.782.812.20

    13.00.7507.355.02.456.235.192.38

    14.00.8117.956.00.606.835.770.59

    15.00.8548.377.00.427.256.190.41

    16.00.8868.688.00.317.576.500.31

    7.576.50

    Sheet7

    CN80

    S2.5

    0.2 S0.5

    8-hr 50-yr Storm

    P249.8inAccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PTimePPRainfallRainfall

    8.00.1141.120.00.000.000.000.00

    9.00.1461.431.00.310.310.000.00

    10.00.1891.852.00.420.730.020.02

    11.00.2502.453.00.601.330.210.19

    12.00.5004.904.02.453.781.861.66

    13.00.7507.355.02.456.233.992.13

    14.00.8117.956.00.606.834.540.55

    15.00.8548.377.00.427.254.930.39

    16.00.8868.688.00.317.575.220.29

    7.575.22

    Sheet5

    8-hr 50-yr Storm in Bryan-College Station

    P24=9.8in

    ABCDEFGH

    AccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PTimePPRainfallRainfall

    8.00.1141.120.00.000.00

    9.00.1461.431.00.310.31

    10.00.1891.852.00.420.73

    11.00.2502.453.00.601.33

    12.00.5004.904.02.453.78

    13.00.7507.355.02.456.23

    14.00.8117.956.00.606.83

    15.00.8548.377.00.427.25

    16.00.8868.688.00.317.57

    7.57

    A-BCoordinates for 8 most intense hours (1 hour increments) of the SCS Type III storm (Table 3.4)

    CColumn B X P24 from 50-yr 24-hr storm for BCS (Appendix 3A)

    DTime from beginning of the 8 hour storm

    EDifferencing of Column C to get Incremental P starting with 0 rain at 0 time. (i.e. E9=C9-C8)

    FAccumulation from Column E (F9=F8+E9)

    G

    H

    Sheet10

    Total Runoff Hydrograph for 8-hr 50-yr Storm

    Total

    UnitRunoff

    TimeHydrograph0.0120.1770.4172.2032.3750.5870.4150.309Hydrograph

    0.00.00

    1.0477.30

    2.02867.25

    3.05805.93

    4.07532.18

    5.07656.33

    6.06669.70

    7.05223.31

    8.03783.87

    9.02582.69

    10.01681.96

    11.01054.54

    12.0640.74

    13.0379.20

    14.0219.43

    15.0124.55

    16.069.51

    17.038.23

    18.020.75

    19.011.13

    20.05.91

    21.03.11

    22.01.62

    23.00.84

    24.00.43

    25.00.22

    26.0

    27.0

    28.0

    29.0

    30.0

    31.0

    32.0

    33.0

    Sheet4

    Total Runoff Hydrograph for 8-hr 50-yr Storm

    Total

    UnitRunoff

    TimeHydrograph0.0120.1770.4172.2032.3750.5870.4150.309Hydrograph

    0.00.000.000.00

    1.0477.305.790.005.79

    2.02867.2534.8084.460.00119.26

    3.05805.9370.47507.36199.240.00777.06

    4.07532.1891.421027.351196.861051.650.003367.28

    5.07656.3392.931332.812423.526317.521133.790.0011300.57

    6.06669.7080.951354.783144.1012792.406810.90280.120.0024463.25

    7.05223.3163.401180.203195.9216595.9013791.461682.73197.930.0036707.54

    8.03783.8745.93924.262784.0816869.4617892.013407.371188.98147.5043259.60

    9.02582.6931.35669.552180.3314695.5818186.934420.472407.58886.0943477.88

    10.01681.9620.42457.001579.4711508.7015843.284493.333123.421794.2438819.86

    11.01054.5412.80297.621078.078337.1212407.503914.303174.902327.7231550.04

    12.0640.747.78186.60702.095690.548988.243065.442765.772366.0923772.54

    13.0379.204.60113.38440.193705.936134.962220.672165.982061.1816846.89

    14.0219.432.6667.10267.462323.503995.351515.731569.081614.1911355.07

    15.0124.551.5138.83158.291411.772504.96987.111070.981169.357342.79

    16.069.510.8422.0491.60835.501522.02618.88697.47798.154586.50

    17.038.230.4612.3051.99483.49900.75376.04437.29519.792782.10

    18.020.750.256.7629.02274.43521.24222.54265.70325.891645.84

    19.011.130.143.6715.96153.16295.86128.78157.24198.01952.82

    20.05.910.071.978.6684.23165.1273.1090.99117.19541.33

    21.03.110.041.054.6545.7290.8140.8051.6567.81302.51

    22.01.620.020.552.4724.5349.2922.4328.8338.49166.60

    23.00.840.010.291.3013.0226.4412.1815.8521.4890.57

    24.00.430.010.150.686.8514.046.538.6011.8148.66

    25.00.220.000.080.353.577.383.474.626.4125.88

    26.00.040.181.853.851.822.453.4413.63

    27.00.090.951.990.951.291.837.10

    28.00.481.020.490.670.963.63

    29.00.520.250.350.501.62

    30.00.130.180.260.57

    31.00.090.130.22

    32.00.070.07

    33.00.00

    304335.05

    Sheet6

    8-hr 50-yr Storm for BCS

    CN(III)91

    S0.989

    0.2 S0.1978

    P249.8inAccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PPPRainfallRainfall

    8.00.1141.120.000.000.0000

    9.00.1461.430.310.310.0120.012

    10.00.1891.850.420.730.1890.177

    11.00.2502.450.601.330.6070.417

    12.00.5004.902.453.782.8102.203

    13.00.7507.352.456.235.1852.375

    14.00.8117.950.606.835.7720.587

    15.00.8548.370.427.256.1870.415

    16.00.8868.680.317.576.4960.309

    7.576.496

    Sheet1

    8-hr 50-yr Storm for BCS

    CN(III)91tp4.57

    S0.989qp7777.89

    0.2 S0.1978K3.78

    P249.8inAccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PPPRainfallRainfallTimeRunoff

    8.00.1141.120.000.000.00000.00

    9.00.1461.430.310.310.0120.0121.0477.3008373727

    10.00.1891.850.420.730.1890.1772.02867.2533846902

    11.00.2502.450.601.330.6070.4173.05805.9264184831

    12.00.5004.902.453.782.8102.2034.07532.1757689884

    13.00.7507.352.456.235.1852.3755.07656.3325641436

    14.00.8117.950.606.835.7720.5876.06669.7014382484

    15.00.8548.370.427.256.1870.4157.05223.3094098887

    16.00.8868.680.317.576.4960.3098.03783.8665077444

    7.576.4969.02582.6932971432

    10.01681.9637978282

    11.01054.5361884687

    12.0640.741335853

    13.0379.196218895

    14.0219.4333308726

    15.0124.550098132

    16.069.5141382742

    17.038.2275993779

    18.020.7486892632

    19.011.1308851879

    20.05.9090133251

    21.03.1073560153

    22.01.6200943506

    23.00.8380970045

    24.00.4304691732

    25.00.219653076

    Sum (qi)=46850.7265918001

    Chart1

    0

    0.3136

    0.4214

    0.5978

    2.45

    2.45

    0.5978

    0.4214

    0.3136

    Time (hrs)

    Precipitation

    Rainfall Hyetograph for 8-hr 50-yr Storm for BCS

    Chart2

    0

    0.0121376177

    0.1769488979

    0.4174224299

    2.2033347363

    2.375410447

    0.5868778926

    0.4146764181

    0.3090364821

    Time (Hrs)

    Flow (in)

    Effective Rainfall Hyetograph for BCS for 8-hr 50-yr Storm Using SCS Curve Number Method

    Sheet2

    Incremental

    IncrementalEffective

    PRainfall

    00.0000.000

    0.50.3140.012

    1.50.4210.177

    2.50.5980.417

    3.52.4502.203

    4.52.4502.375

    5.50.5980.587

    6.50.4210.415

    7.50.3140.309

    Sheet9

    8-hr 50-yr Storm for BCS

    CN(III)91tp

    S0.989qp

    0.2 S0.1978K

    P249.8inAccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PPPRainfallRainfallTimeRunoff

    8.00.1141.120.000.000.0000

    9.00.1461.430.310.310.0120.012

    10.00.1891.850.420.730.1890.177

    11.00.2502.450.601.330.6070.417

    12.00.5004.902.453.782.8102.203

    13.00.7507.352.456.235.1852.375

    14.00.8117.950.606.835.7720.587

    15.00.8548.370.427.256.1870.415

    16.00.8868.680.317.576.4960.309

    7.576.496

    Sheet3

    8-hr 50-yr Storm for BCS

    CN(III)91tp

    S0.989qp

    0.2 S0.1978K

    P249.8inAccumulatedIncremental

    IncrementalAccumulatedEffectiveEffective

    TimeP/P24PPPRainfallRainfallTimeRunoff

    8.00.1141.120.000.000.0000

    9.00.1461.430.310.310.0120.012

    10.00.1891.850.420.730.1890.177

    11.00.2502.450.601.330.6070.417

    12.00.5004.902.453.782.8102.203

    13.00.7507.352.456.235.1852.375

    14.00.8117.950.606.835.7720.587

    15.00.8548.370.427.256.1870.415

    16.00.8868.680.317.576.4960.309

    7.576.496

    ***************************************