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Rain-on-Snow Rain-on-Snow Snowmelt Modeling Snowmelt Modeling Pete Fickenscher Pete Fickenscher ----- ----- Hydrologist Hydrologist California-Nevada River Forecast Center California-Nevada River Forecast Center National Weather Service National Weather Service ----- ----- San Joaquin River Flood Control Association San Joaquin River Flood Control Association Feb. 16, 2006 Feb. 16, 2006

Rain on Snow

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  • Rain-on-SnowSnowmelt ModelingPete Fickenscher-----HydrologistCalifornia-Nevada River Forecast CenterNational Weather Service-----San Joaquin River Flood Control AssociationFeb. 16, 2006

  • Snowmelt Due to Rain-on-Snow

  • Snowmelt Due to Rain-on-SnowMr = Cw*Px * (Tw-273.16)

    Mr = Melt Rate (mm)Cw = Specific heat of waterPx = Precipitation (mm)Lf = Latent heat of fusionTw = Wet-bulb Temp. (K)Lf Tw Melt (% of Px)50 F12.5 %68 F25.0 % Simple Energy Balance

    Chart1

    0

    0.0125470514

    0.0250941029

    0.0376411543

    0.0501882058

    0.0627352572

    0.0752823087

    0.0878293601

    0.1003764115

    0.112923463

    0.1254705144

    0.1380175659

    0.1505646173

    0.1631116688

    0.1756587202

    0.1882057716

    0.2007528231

    0.2132998745

    0.225846926

    0.2383939774

    0.2509410289

    1 inch of rain

    Wet Bulb Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to Rain on Snow

    simple

    3.95256917253

    0

    Px(mm)TwMrPx(in)TwMrPxTwMr

    100273.16010273.1601 inch320

    274.161.2547051443274.163.174404015133.80.0125470514

    275.162.5094102886275.166.348808030135.60.0250941029

    276.163.7641154329276.169.523212045237.40.0376411543

    277.165.0188205772277.1612.697616060239.20.0501882058

    278.166.2735257215278.1615.8720200753410.0627352572

    279.167.5282308657279.1619.046424090342.80.0752823087

    280.168.78293601280.1622.220828105444.60.0878293601

    281.1610.0376411543281.1625.395232120546.40.1003764115

    282.1611.2923462986282.1628.569636135548.20.112923463

    283.1612.5470514429283.1631.7440401506500.1254705144

    284.1613.8017565872284.1634.918444165651.80.1380175659

    285.1615.0564617315285.1638.092848180753.60.1505646173

    286.1616.3111668758286.1641.267252195755.40.1631116688

    287.1617.5658720201287.1644.441656210857.20.1756587202

    288.1618.8205771644288.1647.6160602258590.1882057716

    289.1620.0752823087289.1650.790464240960.80.2007528231

    290.1621.3299874529290.1653.96486825662.60.2132998745

    291.1622.5846925972291.1657.13927227164.40.225846926

    292.1623.8393977415292.1660.313676286166.20.2383939774

    293.1625.0941028858293.1663.4880803011680.2509410289

    simple

    1 inch of rain

    Wet Bulb Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to Rain on Snow

    Snow-17

    10.3004942093LongwaveTotal

    Total0.10.16hours6hours

    PxTaESATM1M2allM3TaRainmeltTaRainmelt

    25.306.110489687600-0.000000239320320

    16.56851059010.28560919790.61674420931.36814138560.751734541333.80.011288901133.80.0660017288

    27.05669475360.58924609381.23679657482.76035854771.523899337835.60.023290359435.60.1335235348

    37.57674075830.89621352191.86018128774.17784493482.318001012137.40.035423459437.40.2020440527

    48.13042544931.20653574852.48692262725.6218481843.135262921839.20.0476891639.20.2716125957

    58.71960664571.52023712753.11704496077.09367177133.9769641756410.060088424410.3422806839

    69.34622590711.83734210133.75057274378.59467691574.84444153742.80.072622217442.80.4141021201

    710.01231135382.15787524.387530519810.1262845225.739091367144.60.085291509944.60.4871330659

    810.71998054382.48186104215.02794292111.68997716046.662371604446.40.098097274446.40.5614321204

    911.47144340392.80932433395.671834666913.28730108557.615803783648.20.111040487548.20.6370603999

    1012.26900521653.14028987016.319230565814.91986829238.6009750915500.1241221293500.714081619

    1113.11506965983.47478253316.970155513616.58935860949.619540460851.80.137343183151.80.7925621737

    1214.01214190353.81282729387.624634494818.297521830410.673224700653.60.150704636153.60.8725712251

    1314.9628317574.15444921078.282692581820.046179881511.763824664755.40.164207478755.40.9541807856

    1415.96985687174.49967343098.94435493521.837229026212.893211456257.20.177852704857.21.0374658058

    1517.03604599574.84852518919.609646803223.672642106314.0633326681590.1916413118591.1225042631

    1618.16434228135.201029808510.278593523225.554470818915.276214660760.80.205574300760.81.2093772517

    1719.35780664375.557212710.951220519827.484848029116.533964874262.60.219652675962.61.2981690741

    1820.61962117125.917099362911.627553306229.465990117617.838774176464.40.233877445264.41.3889673336

    1921.95309258586.280715384312.307617483631.500199363919.192919245466.20.248249619966.21.4818630288

    2023.3616557546.648086439712.991438741133.589866362720.5987649866680.262770215681.5769506493

    2 inch

    RainmeltTaESATm2TaRain

    06.110320

    16.6320.3162533.80.025

    27.1540.632535.60.05

    37.6760.9487537.40.075

    48.1981.26539.20.1

    58.721.58125410.125

    69.431.897542.80.15

    710.142.2137544.60.175

    810.852.5346.40.2

    911.562.8462548.20.225

    1012.273.1625500.25

    1113.2243.4787551.80.275

    1214.1783.79553.60.3

    1315.1324.1112555.40.325

    1416.0864.427557.20.35

    1517.044.74375590.375

    1618.3065.0660.80.4

    1719.5725.3762562.60.425

    1820.8385.692564.40.45

    1922.1046.0087566.20.475

    2023.376.325680.5

    6hours

    TurbulentTaESATM3Rainmelt

    06.11048968760.0003184194320

    16.56851059010.751734541333.80.0297128277

    27.05669475361.523899337835.60.0602331754

    37.57674075832.318001012137.40.0916205934

    48.13042544933.135262921839.20.1239234356

    58.71960664573.9769641756410.1571922599

    69.34622590714.84444153742.80.1914799026

    710.01231135385.739091367144.60.226841556

    810.71998054386.662371604446.40.263334846

    911.47144340397.615803783648.20.3010199124

    1012.26900521658.6009750915500.3399594898

    1113.11506965989.619540460851.80.3802189905

    1214.012141903510.673224700653.60.421866589

    1314.96283175711.763824664755.40.4649733069

    1415.969856871712.893211456257.20.509613101

    1517.036045995714.0633326681590.5558629513

    1618.164342281315.276214660760.80.603802951

    1719.357806643716.533964874262.60.6535163982

    1820.619621171217.838774176464.40.7050898884

    1921.953092585819.192919245466.20.7586134089

    2023.36165575420.5987649866680.8141804343

    Snow-17

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    6 hours melt

    Air Temperature (deg F)

    Melt (inches)

    Snowmelt Due to Turbulent Transfer

    Sheet3

    6 hour melt

    Air Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to LW Radiation

    000

    0.025094102900

    0.050188205800

    0.075282308700

    0.100376411500

    0.125470514400

    0.150564617300

    0.175658720200

    0.200752823100

    0.22584692600

    0.250941028900

    0.276035131700

    0.301129234600

    0.326223337500

    0.351317440400

    0.376411543300

    0.401505646200

    0.426599749100

    0.451693851900

    0.476787954800

    0.501882057700

    Rainmelt

    Longwave Radiation

    Turbulent Transfer

    Air Temperature (deg F)

    Melt (inches)

    Snowmelt During Rain-on-snow

  • Rain-on-SnowM = (0.0125 * Px * Ta) { rainmelt} + 3.67 * 10-9 * t/6 *(Ta+273)4 20.4 { longwave exchange} + 8.5 * UADJ * t/6*[(0.9 * esat 6.11) + 0.00057 * Pa * Ta{turbulent transfer}Snow-17 - Operational EquationM = Melt (mm)Ta = Air Temperature (C)Px = water equivalent of precipitation (mm)UADJ = average wind function during rain-on-snowesat = saturation vapor pressure at the airPa = mean sea level atmospheric pressure

  • Rain-on-SnowM = (0.0125 * Px * Ta) { rainmelt} + 6.12 * 10-10 * t [(Ta+273)4 2734] { longwave exchange} + 8.5 * UADJ * t/6*[(0.9 * esat 6.11) + 0.00057 * Pa * Ta{turbulent transfer}Snow-17 - Operational EquationAssumptions: no solar radiation relative humidity = 90% atmospheric radiation = black body at Ta wet bulb temperature (rainwater ) = Ta UADJ is the average wind function during rain-on-snow events The snowmelt occurs at the surface of the snowpack

  • Rain-on-SnowSnow-17 - RainmeltAssume a 6 hour event with constant Ta = 45 F and2 inches of rain

    Chart3

    0

    0.0250941029

    0.0501882058

    0.0752823087

    0.1003764115

    0.1254705144

    0.1505646173

    0.1756587202

    0.2007528231

    0.225846926

    0.2509410289

    0.2760351317

    0.3011292346

    0.3262233375

    0.3513174404

    0.3764115433

    0.4015056462

    0.4265997491

    0.4516938519

    0.4767879548

    0.5018820577

    2 inches of rain/6hours

    Air Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to Rain on Snow

    simple

    3.95256917253

    0

    Px(mm)TwMrPx(in)TwMrPxTwMr

    100273.16010273.160320

    274.161.2547051443274.163.174404015133.80.0250941029

    275.162.5094102886275.166.348808030135.60.0501882058

    276.163.7641154329276.169.523212045237.40.0752823087

    277.165.0188205772277.1612.697616060239.20.1003764115

    278.166.2735257215278.1615.8720200753410.1254705144

    279.167.5282308657279.1619.046424090342.80.1505646173

    280.168.78293601280.1622.220828105444.60.1756587202

    281.1610.0376411543281.1625.395232120546.40.2007528231

    282.1611.2923462986282.1628.569636135548.20.225846926

    283.1612.5470514429283.1631.7440401506500.2509410289

    284.1613.8017565872284.1634.918444165651.80.2760351317

    285.1615.0564617315285.1638.092848180753.60.3011292346

    286.1616.3111668758286.1641.267252195755.40.3262233375

    287.1617.5658720201287.1644.441656210857.20.3513174404

    288.1618.8205771644288.1647.6160602258590.3764115433

    289.1620.0752823087289.1650.790464240960.80.4015056462

    290.1621.3299874529290.1653.96486825662.60.4265997491

    291.1622.5846925972291.1657.13927227164.40.4516938519

    292.1623.8393977415292.1660.313676286166.20.4767879548

    293.1625.0941028858293.1663.4880803011680.5018820577

    simple

    10 inches of rain

    Wet Bulb Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to Rain on Snow

    Snow-17

    10.3004942093Longwave

    Total0.10.16hours

    PxTaESATM1M2allM3TaRainmelt

    25.306.110489687600-0.000000239320

    16.56851059010.28560919790.61674420931.45162996070.751734541333.80.0112889011

    27.05669475360.58924609381.23679657482.92964321131.523899337835.60.0232903594

    37.57674075830.89621352191.86018128774.43536311782.318001012137.40.0354234594

    48.13042544931.20653574852.48692262725.97017324593.135262921839.20.04768916

    58.71960664571.52023712753.11704496077.53551919473.9769641756410.060088424

    69.34622590711.83734210133.75057274379.13291071264.84444153742.80.0726222174

    710.01231135382.15787524.387530519810.76392385555.739091367144.60.0852915099

    810.71998054382.48186104215.02794292112.4302031876.662371604446.40.0980972744

    911.47144340392.80932433395.671834666914.13346402097.615803783648.20.1110404875

    1012.26900521653.14028987016.319230565815.87549470648.6009750915500.1241221293

    1113.11506965983.47478253316.970155513617.65815895349.619540460851.80.1373431831

    1214.01214190353.81282729387.624634494819.483398201110.673224700653.60.1507046361

    1314.9628317574.15444921078.282692581821.353234025911.763824664755.40.1642074787

    1415.96985687174.49967343098.94435493523.269770591912.893211456257.20.1778527048

    1517.03604599574.84852518919.609646803225.2351971414.0633326681590.1916413118

    1618.16434228135.201029808510.278593523227.251790518415.276214660760.80.2055743007

    1719.35780664375.557212710.951220519829.321917752316.533964874262.60.2196526759

    1820.61962117125.917099362911.627553306231.448038652217.838774176464.40.2338774452

    1921.95309258586.280715384312.307617483633.632708461719.192919245466.20.2482496199

    2023.3616557546.648086439712.991438741135.878580542920.5987649866680.262770215

    2 inch

    RainmeltTaESATm2TaRain

    06.110320

    16.6320.3162533.80.025

    27.1540.632535.60.05

    37.6760.9487537.40.075

    48.1981.26539.20.1

    58.721.58125410.125

    69.431.897542.80.15

    710.142.2137544.60.175

    810.852.5346.40.2

    911.562.8462548.20.225

    1012.273.1625500.25

    1113.2243.4787551.80.275

    1214.1783.79553.60.3

    1315.1324.1112555.40.325

    1416.0864.427557.20.35

    1517.044.74375590.375

    1618.3065.0660.80.4

    1719.5725.3762562.60.425

    1820.8385.692564.40.45

    1922.1046.0087566.20.475

    2023.376.325680.5

    6hours

    TurbulentTaESATM3Rainmelt

    06.11048968760.0003184194320

    16.56851059010.751734541333.80.0297128277

    27.05669475361.523899337835.60.0602331754

    37.57674075832.318001012137.40.0916205934

    48.13042544933.135262921839.20.1239234356

    58.71960664573.9769641756410.1571922599

    69.34622590714.84444153742.80.1914799026

    710.01231135385.739091367144.60.226841556

    810.71998054386.662371604446.40.263334846

    911.47144340397.615803783648.20.3010199124

    1012.26900521658.6009750915500.3399594898

    1113.11506965989.619540460851.80.3802189905

    1214.012141903510.673224700653.60.421866589

    1314.96283175711.763824664755.40.4649733069

    1415.969856871712.893211456257.20.509613101

    1517.036045995714.0633326681590.5558629513

    1618.164342281315.276214660760.80.603802951

    1719.357806643716.533964874262.60.6535163982

    1820.619621171217.838774176464.40.7050898884

    1921.953092585819.192919245466.20.7586134089

    2023.36165575420.5987649866680.8141804343

    Snow-17

    6 hour event

    Air Temperature (deg F)

    Melt (inches)

    Snowmelt Due to Turbulent Transfer

    Sheet3

    0

    0.0250941029

    0.0501882058

    0.0752823087

    0.1003764115

    0.1254705144

    0.1505646173

    0.1756587202

    0.2007528231

    0.225846926

    0.2509410289

    0.2760351317

    0.3011292346

    0.3262233375

    0.3513174404

    0.3764115433

    0.4015056462

    0.4265997491

    0.4516938519

    0.4767879548

    0.5018820577

    2 inches of rain/6hours

    Air Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to Rain on Snow

  • Rain-on-SnowSnow-17 - Longwave RadiationNote: This melt is independent of rainfall amount Assume a 6 hour event with constant Ta = 45 F

    Chart4

    0

    0.0112889011

    0.0232903594

    0.0354234594

    0.04768916

    0.060088424

    0.0726222174

    0.0852915099

    0.0980972744

    0.1110404875

    0.1241221293

    0.1373431831

    0.1507046361

    0.1642074787

    0.1778527048

    0.1916413118

    0.2055743007

    0.2196526759

    0.2338774452

    0.2482496199

    0.262770215

    6 hour melt

    Air Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to LW Radiation

    simple

    3.95256917253

    0

    Px(mm)TwMrPx(in)TwMrPxTwMr

    100273.16010273.160320

    274.161.2547051443274.163.174404015133.80.0250941029

    275.162.5094102886275.166.348808030135.60.0501882058

    276.163.7641154329276.169.523212045237.40.0752823087

    277.165.0188205772277.1612.697616060239.20.1003764115

    278.166.2735257215278.1615.8720200753410.1254705144

    279.167.5282308657279.1619.046424090342.80.1505646173

    280.168.78293601280.1622.220828105444.60.1756587202

    281.1610.0376411543281.1625.395232120546.40.2007528231

    282.1611.2923462986282.1628.569636135548.20.225846926

    283.1612.5470514429283.1631.7440401506500.2509410289

    284.1613.8017565872284.1634.918444165651.80.2760351317

    285.1615.0564617315285.1638.092848180753.60.3011292346

    286.1616.3111668758286.1641.267252195755.40.3262233375

    287.1617.5658720201287.1644.441656210857.20.3513174404

    288.1618.8205771644288.1647.6160602258590.3764115433

    289.1620.0752823087289.1650.790464240960.80.4015056462

    290.1621.3299874529290.1653.96486825662.60.4265997491

    291.1622.5846925972291.1657.13927227164.40.4516938519

    292.1623.8393977415292.1660.313676286166.20.4767879548

    293.1625.0941028858293.1663.4880803011680.5018820577

    simple

    10 inches of rain

    Wet Bulb Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to Rain on Snow

    Snow-17

    10.3004942093Longwave

    Total0.10.16hours

    PxTaESATM1M2allM3TaRainmelt

    25.306.110489687600-0.000000239320

    16.56851059010.28560919790.61674420931.45162996070.751734541333.80.0112889011

    27.05669475360.58924609381.23679657482.92964321131.523899337835.60.0232903594

    37.57674075830.89621352191.86018128774.43536311782.318001012137.40.0354234594

    48.13042544931.20653574852.48692262725.97017324593.135262921839.20.04768916

    58.71960664571.52023712753.11704496077.53551919473.9769641756410.060088424

    69.34622590711.83734210133.75057274379.13291071264.84444153742.80.0726222174

    710.01231135382.15787524.387530519810.76392385555.739091367144.60.0852915099

    810.71998054382.48186104215.02794292112.4302031876.662371604446.40.0980972744

    911.47144340392.80932433395.671834666914.13346402097.615803783648.20.1110404875

    1012.26900521653.14028987016.319230565815.87549470648.6009750915500.1241221293

    1113.11506965983.47478253316.970155513617.65815895349.619540460851.80.1373431831

    1214.01214190353.81282729387.624634494819.483398201110.673224700653.60.1507046361

    1314.9628317574.15444921078.282692581821.353234025911.763824664755.40.1642074787

    1415.96985687174.49967343098.94435493523.269770591912.893211456257.20.1778527048

    1517.03604599574.84852518919.609646803225.2351971414.0633326681590.1916413118

    1618.16434228135.201029808510.278593523227.251790518415.276214660760.80.2055743007

    1719.35780664375.557212710.951220519829.321917752316.533964874262.60.2196526759

    1820.61962117125.917099362911.627553306231.448038652217.838774176464.40.2338774452

    1921.95309258586.280715384312.307617483633.632708461719.192919245466.20.2482496199

    2023.3616557546.648086439712.991438741135.878580542920.5987649866680.262770215

    2 inch

    RainmeltTaESATm2TaRain

    06.110320

    16.6320.3162533.80.025

    27.1540.632535.60.05

    37.6760.9487537.40.075

    48.1981.26539.20.1

    58.721.58125410.125

    69.431.897542.80.15

    710.142.2137544.60.175

    810.852.5346.40.2

    911.562.8462548.20.225

    1012.273.1625500.25

    1113.2243.4787551.80.275

    1214.1783.79553.60.3

    1315.1324.1112555.40.325

    1416.0864.427557.20.35

    1517.044.74375590.375

    1618.3065.0660.80.4

    1719.5725.3762562.60.425

    1820.8385.692564.40.45

    1922.1046.0087566.20.475

    2023.376.325680.5

    6hours

    TurbulentTaESATM3Rainmelt

    06.11048968760.0003184194320

    16.56851059010.751734541333.80.0297128277

    27.05669475361.523899337835.60.0602331754

    37.57674075832.318001012137.40.0916205934

    48.13042544933.135262921839.20.1239234356

    58.71960664573.9769641756410.1571922599

    69.34622590714.84444153742.80.1914799026

    710.01231135385.739091367144.60.226841556

    810.71998054386.662371604446.40.263334846

    911.47144340397.615803783648.20.3010199124

    1012.26900521658.6009750915500.3399594898

    1113.11506965989.619540460851.80.3802189905

    1214.012141903510.673224700653.60.421866589

    1314.96283175711.763824664755.40.4649733069

    1415.969856871712.893211456257.20.509613101

    1517.036045995714.0633326681590.5558629513

    1618.164342281315.276214660760.80.603802951

    1719.357806643716.533964874262.60.6535163982

    1820.619621171217.838774176464.40.7050898884

    1921.953092585819.192919245466.20.7586134089

    2023.36165575420.5987649866680.8141804343

    Snow-17

    6 hours melt

    Air Temperature (deg F)

    Melt (inches)

    Snowmelt Due to Turbulent Transfer

    Sheet3

    6 hour melt

    Air Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to LW Radiation

    0

    0.0250941029

    0.0501882058

    0.0752823087

    0.1003764115

    0.1254705144

    0.1505646173

    0.1756587202

    0.2007528231

    0.225846926

    0.2509410289

    0.2760351317

    0.3011292346

    0.3262233375

    0.3513174404

    0.3764115433

    0.4015056462

    0.4265997491

    0.4516938519

    0.4767879548

    0.5018820577

    2 inches of rain/6hours

    Air Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to Rain on Snow

  • Rain-on-SnowSnow-17 - Turbulent TransferNote: This melt is independent of rainfall amount. UADJ set to 0.09 (12 mph wind) Assume a 6 hour event with constant Ta = 45 F

    Chart2

    0

    0.0297128277

    0.0602331754

    0.0916205934

    0.1239234356

    0.1571922599

    0.1914799026

    0.226841556

    0.263334846

    0.3010199124

    0.3399594898

    0.3802189905

    0.421866589

    0.4649733069

    0.509613101

    0.5558629513

    0.603802951

    0.6535163982

    0.7050898884

    0.7586134089

    0.8141804343

    6 hour melt

    Air Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to Turbulent Transfer

    simple

    3.95256917253

    0

    Px(mm)TwMrPx(in)TwMrPxTwMr

    100273.16010273.1601 inch320

    274.161.2547051443274.163.174404015133.80.0125470514

    275.162.5094102886275.166.348808030135.60.0250941029

    276.163.7641154329276.169.523212045237.40.0376411543

    277.165.0188205772277.1612.697616060239.20.0501882058

    278.166.2735257215278.1615.8720200753410.0627352572

    279.167.5282308657279.1619.046424090342.80.0752823087

    280.168.78293601280.1622.220828105444.60.0878293601

    281.1610.0376411543281.1625.395232120546.40.1003764115

    282.1611.2923462986282.1628.569636135548.20.112923463

    283.1612.5470514429283.1631.7440401506500.1254705144

    284.1613.8017565872284.1634.918444165651.80.1380175659

    285.1615.0564617315285.1638.092848180753.60.1505646173

    286.1616.3111668758286.1641.267252195755.40.1631116688

    287.1617.5658720201287.1644.441656210857.20.1756587202

    288.1618.8205771644288.1647.6160602258590.1882057716

    289.1620.0752823087289.1650.790464240960.80.2007528231

    290.1621.3299874529290.1653.96486825662.60.2132998745

    291.1622.5846925972291.1657.13927227164.40.225846926

    292.1623.8393977415292.1660.313676286166.20.2383939774

    293.1625.0941028858293.1663.4880803011680.2509410289

    simple

    1 inch of rain

    Wet Bulb Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to Rain on Snow

    Snow-17

    10.3004942093LongwaveTotal

    Total0.10.16hours6hours

    PxTaESATM1M2allM3TaRainmeltTaRainmelt

    25.306.110489687600-0.000000239320320

    16.56851059010.28560919790.61674420931.36814138560.751734541333.80.011288901133.80.0660017288

    27.05669475360.58924609381.23679657482.76035854771.523899337835.60.023290359435.60.1335235348

    37.57674075830.89621352191.86018128774.17784493482.318001012137.40.035423459437.40.2020440527

    48.13042544931.20653574852.48692262725.6218481843.135262921839.20.0476891639.20.2716125957

    58.71960664571.52023712753.11704496077.09367177133.9769641756410.060088424410.3422806839

    69.34622590711.83734210133.75057274378.59467691574.84444153742.80.072622217442.80.4141021201

    710.01231135382.15787524.387530519810.1262845225.739091367144.60.085291509944.60.4871330659

    810.71998054382.48186104215.02794292111.68997716046.662371604446.40.098097274446.40.5614321204

    911.47144340392.80932433395.671834666913.28730108557.615803783648.20.111040487548.20.6370603999

    1012.26900521653.14028987016.319230565814.91986829238.6009750915500.1241221293500.714081619

    1113.11506965983.47478253316.970155513616.58935860949.619540460851.80.137343183151.80.7925621737

    1214.01214190353.81282729387.624634494818.297521830410.673224700653.60.150704636153.60.8725712251

    1314.9628317574.15444921078.282692581820.046179881511.763824664755.40.164207478755.40.9541807856

    1415.96985687174.49967343098.94435493521.837229026212.893211456257.20.177852704857.21.0374658058

    1517.03604599574.84852518919.609646803223.672642106314.0633326681590.1916413118591.1225042631

    1618.16434228135.201029808510.278593523225.554470818915.276214660760.80.205574300760.81.2093772517

    1719.35780664375.557212710.951220519827.484848029116.533964874262.60.219652675962.61.2981690741

    1820.61962117125.917099362911.627553306229.465990117617.838774176464.40.233877445264.41.3889673336

    1921.95309258586.280715384312.307617483631.500199363919.192919245466.20.248249619966.21.4818630288

    2023.3616557546.648086439712.991438741133.589866362720.5987649866680.262770215681.5769506493

    2 inch

    RainmeltTaESATm2TaRain

    06.110320

    16.6320.3162533.80.025

    27.1540.632535.60.05

    37.6760.9487537.40.075

    48.1981.26539.20.1

    58.721.58125410.125

    69.431.897542.80.15

    710.142.2137544.60.175

    810.852.5346.40.2

    911.562.8462548.20.225

    1012.273.1625500.25

    1113.2243.4787551.80.275

    1214.1783.79553.60.3

    1315.1324.1112555.40.325

    1416.0864.427557.20.35

    1517.044.74375590.375

    1618.3065.0660.80.4

    1719.5725.3762562.60.425

    1820.8385.692564.40.45

    1922.1046.0087566.20.475

    2023.376.325680.5

    6hours

    TurbulentTaESATM3Rainmelt

    06.11048968760.0003184194320

    16.56851059010.751734541333.80.0297128277

    27.05669475361.523899337835.60.0602331754

    37.57674075832.318001012137.40.0916205934

    48.13042544933.135262921839.20.1239234356

    58.71960664573.9769641756410.1571922599

    69.34622590714.84444153742.80.1914799026

    710.01231135385.739091367144.60.226841556

    810.71998054386.662371604446.40.263334846

    911.47144340397.615803783648.20.3010199124

    1012.26900521658.6009750915500.3399594898

    1113.11506965989.619540460851.80.3802189905

    1214.012141903510.673224700653.60.421866589

    1314.96283175711.763824664755.40.4649733069

    1415.969856871712.893211456257.20.509613101

    1517.036045995714.0633326681590.5558629513

    1618.164342281315.276214660760.80.603802951

    1719.357806643716.533964874262.60.6535163982

    1820.619621171217.838774176464.40.7050898884

    1921.953092585819.192919245466.20.7586134089

    2023.36165575420.5987649866680.8141804343

    Snow-17

    6 hour melt

    Air Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to LW Radiation

    Sheet3

    0

    0.0125470514

    0.0250941029

    0.0376411543

    0.0501882058

    0.0627352572

    0.0752823087

    0.0878293601

    0.1003764115

    0.112923463

    0.1254705144

    0.1380175659

    0.1505646173

    0.1631116688

    0.1756587202

    0.1882057716

    0.2007528231

    0.2132998745

    0.225846926

    0.2383939774

    0.2509410289

    Rainmelt

    Longwave Radiation

    Turbulent Transfer

    Air Temperature (deg F)

    Melt (inches)

    Snowmelt During Rain-on-snow

    6 hour melt

    Air Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to Turbulent Transfer

  • Rain-on-SnowSnow-17 - Component ComparisonAssume 2 inches of rain during a 6 hour event with constant Ta Ta Total Melt (inches)45 F0.50 (25%) 40 F 0.30 (15%)35 F0.11 ( 6%)Note: 41 F 0.34 (17%)

    Chart1

    0000

    0.02509410290.01128890110.02971282770.0660017288

    0.05018820580.02329035940.06023317540.1335235348

    0.07528230870.03542345940.09162059340.2020440527

    0.10037641150.047689160.12392343560.2716125957

    0.12547051440.0600884240.15719225990.3422806839

    0.15056461730.07262221740.19147990260.4141021201

    0.17565872020.08529150990.2268415560.4871330659

    0.20075282310.09809727440.2633348460.5614321204

    0.2258469260.11104048750.30101991240.6370603999

    0.25094102890.12412212930.33995948980.714081619

    0.27603513170.13734318310.38021899050.7925621737

    0.30112923460.15070463610.4218665890.8725712251

    0.32622333750.16420747870.4649733069

    0.35131744040.17785270480.509613101

    0.37641154330.19164131180.5558629513

    0.40150564620.20557430070.603802951

    0.42659974910.21965267590.6535163982

    0.45169385190.23387744520.7050898884

    0.47678795480.24824961990.7586134089

    0.50188205770.2627702150.8141804343

    Rainmelt

    Longwave Radiation

    Turbulent Transfer

    Total Melt (2 inches/6 hrs)

    Air Temperature (deg F)

    Melt (inches)

    Snowmelt During Rain-on-snow

    simple

    3.95256917253

    0

    Px(mm)TwMrPx(in)TwMrPxTwMr

    100273.16010273.1601 inch320

    274.161.2547051443274.163.174404015133.80.0250941029

    275.162.5094102886275.166.348808030135.60.0501882058

    276.163.7641154329276.169.523212045237.40.0752823087

    277.165.0188205772277.1612.697616060239.20.1003764115

    278.166.2735257215278.1615.8720200753410.1254705144

    279.167.5282308657279.1619.046424090342.80.1505646173

    280.168.78293601280.1622.220828105444.60.1756587202

    281.1610.0376411543281.1625.395232120546.40.2007528231

    282.1611.2923462986282.1628.569636135548.20.225846926

    283.1612.5470514429283.1631.7440401506500.2509410289

    284.1613.8017565872284.1634.918444165651.80.2760351317

    285.1615.0564617315285.1638.092848180753.60.3011292346

    286.1616.3111668758286.1641.267252195755.40.3262233375

    287.1617.5658720201287.1644.441656210857.20.3513174404

    288.1618.8205771644288.1647.6160602258590.3764115433

    289.1620.0752823087289.1650.790464240960.80.4015056462

    290.1621.3299874529290.1653.96486825662.60.4265997491

    291.1622.5846925972291.1657.13927227164.40.4516938519

    292.1623.8393977415292.1660.313676286166.20.4767879548

    293.1625.0941028858293.1663.4880803011680.5018820577

    simple

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    1 inch of rain

    Wet Bulb Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to Rain on Snow

    Snow-17

    10.3004942093LongwaveTotal

    Total0.10.16hours6hours

    PxTaESATM1M2allM3TaRainmeltTaRainmelt

    25.306.110489687600-0.000000239320320

    16.56851059010.28560919790.61674420931.36814138560.751734541333.80.011288901133.80.0660017288

    27.05669475360.58924609381.23679657482.76035854771.523899337835.60.023290359435.60.1335235348

    37.57674075830.89621352191.86018128774.17784493482.318001012137.40.035423459437.40.2020440527

    48.13042544931.20653574852.48692262725.6218481843.135262921839.20.0476891639.20.2716125957

    58.71960664571.52023712753.11704496077.09367177133.9769641756410.060088424410.3422806839

    69.34622590711.83734210133.75057274378.59467691574.84444153742.80.072622217442.80.4141021201

    710.01231135382.15787524.387530519810.1262845225.739091367144.60.085291509944.60.4871330659

    810.71998054382.48186104215.02794292111.68997716046.662371604446.40.098097274446.40.5614321204

    911.47144340392.80932433395.671834666913.28730108557.615803783648.20.111040487548.20.6370603999

    1012.26900521653.14028987016.319230565814.91986829238.6009750915500.1241221293500.714081619

    1113.11506965983.47478253316.970155513616.58935860949.619540460851.80.137343183151.80.7925621737

    1214.01214190353.81282729387.624634494818.297521830410.673224700653.60.150704636153.60.8725712251

    1314.9628317574.15444921078.282692581820.046179881511.763824664755.40.164207478755.40.9541807856

    1415.96985687174.49967343098.94435493521.837229026212.893211456257.20.177852704857.21.0374658058

    1517.03604599574.84852518919.609646803223.672642106314.0633326681590.1916413118591.1225042631

    1618.16434228135.201029808510.278593523225.554470818915.276214660760.80.205574300760.81.2093772517

    1719.35780664375.557212710.951220519827.484848029116.533964874262.60.219652675962.61.2981690741

    1820.61962117125.917099362911.627553306229.465990117617.838774176464.40.233877445264.41.3889673336

    1921.95309258586.280715384312.307617483631.500199363919.192919245466.20.248249619966.21.4818630288

    2023.3616557546.648086439712.991438741133.589866362720.5987649866680.262770215681.5769506493

    2 inch

    RainmeltTaESATm2TaRain

    06.110320

    16.6320.3162533.80.025

    27.1540.632535.60.05

    37.6760.9487537.40.075

    48.1981.26539.20.1

    58.721.58125410.125

    69.431.897542.80.15

    710.142.2137544.60.175

    810.852.5346.40.2

    911.562.8462548.20.225

    1012.273.1625500.25

    1113.2243.4787551.80.275

    1214.1783.79553.60.3

    1315.1324.1112555.40.325

    1416.0864.427557.20.35

    1517.044.74375590.375

    1618.3065.0660.80.4

    1719.5725.3762562.60.425

    1820.8385.692564.40.45

    1922.1046.0087566.20.475

    2023.376.325680.5

    6hours

    TurbulentTaESATM3Rainmelt

    06.11048968760.0003184194320

    16.56851059010.751734541333.80.0297128277

    27.05669475361.523899337835.60.0602331754

    37.57674075832.318001012137.40.0916205934

    48.13042544933.135262921839.20.1239234356

    58.71960664573.9769641756410.1571922599

    69.34622590714.84444153742.80.1914799026

    710.01231135385.739091367144.60.226841556

    810.71998054386.662371604446.40.263334846

    911.47144340397.615803783648.20.3010199124

    1012.26900521658.6009750915500.3399594898

    1113.11506965989.619540460851.80.3802189905

    1214.012141903510.673224700653.60.421866589

    1314.96283175711.763824664755.40.4649733069

    1415.969856871712.893211456257.20.509613101

    1517.036045995714.0633326681590.5558629513

    1618.164342281315.276214660760.80.603802951

    1719.357806643716.533964874262.60.6535163982

    1820.619621171217.838774176464.40.7050898884

    1921.953092585819.192919245466.20.7586134089

    2023.36165575420.5987649866680.8141804343

    Snow-17

    6 hour melt

    Air Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to LW Radiation

    Temp

    0

    0.0250941029

    0.0501882058

    0.0752823087

    0.1003764115

    0.1254705144

    0.1505646173

    0.1756587202

    0.2007528231

    0.225846926

    0.2509410289

    0.2760351317

    0.3011292346

    0.3262233375

    0.3513174404

    0.3764115433

    0.4015056462

    0.4265997491

    0.4516938519

    0.4767879548

    0.5018820577

    Rainmelt

    Longwave Radiation

    Turbulent Transfer

    Total Melt (2 inches/6 hrs)

    Air Temperature (deg F)

    Melt (inches)

    Snowmelt During Rain-on-snow

    6 hour melt

    Air Temperature (deg F)

    Melt from rain (inch)

    Snowmelt Due to Turbulent Transfer

    BLUHYSUpper American MAT (

    12/30/96 1:16393936

    12/30/96 2:57414038

    12/30/96 4:18414140

    12/30/96 7:20424238

    12/30/96 10:22414038

    12/30/96 13:24404139

    12/30/96 16:26414042

    12/30/96 19:28414242

    12/30/96 22:30414144

    12/31/96 1:33414046

    12/31/96 4:35404146

    12/31/96 10:39434346

    12/31/96 13:41434345

    12/31/96 16:43444341

    12/31/96 19:45434437

    12/31/96 22:47444435

    1/1/97 1:494647

    1/1/97 4:514649

    1/1/97 7:534749

    1/1/97 10:554747

    1/1/97 13:574747

    1/1/97 16:594747

    1/1/97 20:014748

    1/1/97 23:034747

    1/2/97 2:054747

    1/2/97 5:074746

    1/2/97 8:093944

    1/2/97 11:123935

    1/2/97 14:143835

    1/2/97 17:163838

    1/2/97 20:183737

    1/2/97 23:203636

    42.542.5937540.8125

    MBD000000F0.unknown

    MBD01F4DE39.unknown

    MBD000001C8.unknown

    MBD00000244.unknown

    MBD00000296.unknown

    MBD0000015C.unknown

    MBD00000084.unknown

  • Example 1997 Event

    Chart1

    21.897233201619.211.617.15.1402371542

    22.80632411071912.27.295.1402371542

    23.280632411121.813.589.855.5317786561

    23.043478260923.715.7511.26.7164426877

    23.20158102772416.3411.26.7164426877

    23.35968379452417.91116.1241106719

    21.9762845852417.9110.84.3471146245

    20.94861660082418.1110.52.3693280632

    20.31620553362417.1310.20.9838735178

    20.118577075124.115.9410.040.7931225296

    20.079051383424.115.94100.5923320158

    SNOW-17 - NFDC1UP (5000' - 9006')

    CSSL (6900')

    Huysink (6600')

    Greek Store (5600')

    Blue Canyon (5300')

    Date

    SWE (inches)

    Snow Water Equivalent Comparison ('96 -'97)

    sup

    $IDENTIFIER=NFDC1UPDESCRIPTION=NF AMERICAN UP SWE

    $PERIODOF RECORD=10/1960 THRU 09/2003

    $SYMBOLFOR MISSINGDATA=-999.00 SYMBOL FOR ACCUMULATEDDATA=-998.0

    $TYPE=SWE UNITS=MM DIMENSIONS=LDATATIME INTERVAL=24 HOU

    $OUTPUTFORMAT=(3A4,2I2,I4,6F10.0)

    DATACARDSWELMM 24 NFDC1UPNF AMERICANUP SWE

    1019949 1997 6F10.0

    10941000610

    10942000000

    10943000000

    10944000000

    10945000000

    109460

    1194122137893

    119428887122131130140

    11943139139162168225239

    11944239239239239238239

    11945320341352351353353

    12941355365445526528547

    12942549548548548555596

    12943602627628629628630

    12944628627625624622655

    12945651649649670667666

    12946666

    1951665664672705761810

    19528559361012108410911117

    1953117611661193119511941194

    1954119411941194122812421274

    1955129813401361135913561349

    19561343

    2951133213281323131713121308

    2952130413011299129512931291

    2953133613461345134413401333

    2954132513161307129812881279

    29551273126612601254

    3951125613021330133713551353

    3952135013581390144014811485

    3953151215021485147614681475

    3954146615351581168117381762

    3955176217611761176117601758

    39561750

    4951174017321719170416911690

    4952171217131710170316911689

    4953172517241730172917291731

    4954172817601755173917171698

    4955168016631656167616601666

    5951162516081593158015681557

    5952154515281513149714831490

    5953148914941486146914501427

    5954140213771354133013051284

    5955126112371213118711571127

    59561095

    6951106610391012986967958

    6952948934918898879854

    6953830814806794783769

    6954759748732709683654

    6955621595571550528509

    7951491475458442425409

    7952395379366355346338

    7953329317304292281267

    7954257248240233226219

    7955212205197189182175

    7956168

    8951161155148142136131

    8952126122117113110106

    89531029894908784

    8954807673696562

    8955595654514946

    895644

    9951413836333129

    9952272523211917

    9953151211975

    9954310000

    9955000000

    10951000000

    10952000000

    10953000000

    10954000000

    10955000000

    109560

    11951000000

    11952000000

    11953000000

    11954000000

    11955132100

    12951000200

    129520000111161

    12953184186210212211211

    12954211210209210212211

    12955211210222223262276

    12956276

    1961276274272271270268

    1962266264261260257254

    1963252250240274275338

    1964360376441450469572

    1965603606698700700705

    1966718

    2961718718721779758747

    2962740734728722716709

    2963702696693683672703

    2964725767825857871886

    2965899898898898898

    396189789690399810331039

    3962103710291018100810341043

    396310421038102710171005990

    3964977964952948944941

    3965938934955992991987

    3966978

    4961990984979969955939

    4962922907891882875872

    4963866857860881914917

    4964932933928916899881

    4965860837819800779753

    5961728704687673656640

    5962625612597578552526

    5963502484468443440423

    5964415409402390383376

    5965364352341331321313

    5966303

    6961290274259246232218

    6962207196187178170162

    6963155148141136131125

    696412011511010610299

    6965969390878276

    7961706559555046

    7962413631272319

    796315118520

    7964000000

    7965000000BLUE

    796601996122507.125-Dec179.63

    89610000001996122607.2926-Dec184.437

    89620000001996122709.8527-Dec249.205

    896300000019961228011.228-Dec283.36

    896400000019961229011.229-Dec283.36

    89650000001996123001130-Dec278.3

    8966019961231010.831-Dec273.24

    996100000019970101010.51-Jan265.65

    996200000019970102010.22-Jan258.06

    996300000019970103010.043-Jan254.012

    9964000000199701040104-Jan253

    9965000000199701050105-Jan253

    10961000000199701060106-Jan253

    10962000000199701070107-Jan253

    10963000000Blue Canyon (5300')Greek Store (5600')Huysink (6600')CSSL (6900')SNOW-17 - NFDC1UP (5000' - 9006')

    1096400000925-Dec55425-Dec130180294486554

    109651100121726-Dec57726-Dec130184309481577

    109661427-Dec58927-Dec140249344552589

    11961118655428-Dec58328-Dec170283398600583

    1196232211029-Dec58729-Dec170283413607587

    11963010421068430-Dec59130-Dec155278453607591

    1196464625459594931-Dec55631-Dec110273453607556

    119654948494544431-Jan5301-Jan60266458607530

    129615555551112092362-Jan5142-Jan25258433607514

    129622352332383063523683-Jan5093-Jan20254403610509

    129633643603593573563554-Jan5084-Jan15253403610508

    129643543965195515545545-Jan5105-Jan15253403622510

    129655545775895835875916-Jan5096-Jan5253403630509

    129665567-Jan5087-Jan5253403645508

    1971530514509508510509

    197250850750550450351148104.90220.2449.841-37.95833.2806324111

    1973511510514511510508

    197450853155159361262634.25825

    1975736802795793790786

    1976784

    2971783780778773769767SNOW-17 - NFDC1UP (5000' - 9006')CSSL (6900')Huysink (6600')Greek Store (5600')Blue Canyon (5300')

    297277177777577377176825-Dec21.8972332016191275

    297376175675174575074526-Dec22.8063241107191275

    297473773072872572372127-Dec23.28063241112214106

    297571771270670128-Dec23.04347826092416117

    397170072973273172872429-Dec23.20158102772416117

    397271971370569568768230-Dec23.35968379452418116

    397367767066366164363231-Dec21.9762845852418114

    39746216095975855735611-Jan20.94861660082418112

    39755485365265155065082-Jan20.31620553362417101

    39765073-Jan20.11857707512416101

    49715065034974914864824-Jan20.07905138342416101

    4972478475470466461455

    4973447438424411399383

    4974367357342332322315

    4975305293283277272269

    5971262256248239231221

    5972211201191181170160

    5973151143136129121114

    597410710297939087

    5975848177726863

    597658

    6971545147434138

    6972343128252220

    6973171410630

    6974000000

    6975000000

    7971000000

    7972000000

    7973000000

    7974000000

    7975000000

    79760

    8971000000

    8972000000

    8973000000

    8974000000

    8975000000

    89760

    9971000000

    9972000000

    9973000000

    9974000000

    9975000000

    sup

    Blue Canyon (5300')

    Greek Store (5600')

    Huysink (6600')

    CSSL (6900')

    SNOW-17 - NFDC1UP (5000' - 9006')

    Date

    SWE (mm)

    Snow Water Equivalent Comparison ('96-'97)

    SNOW-17 - NFDC1UP (5000' - 9006')

    CSSL (6900')

    Huysink (6600')

    Greek Store (5600')

    Blue Canyon (5300')

    Date

    SWE (inches)

    Snow Water Equivalent Comparison ('96 -'97)

  • Example 1997 EventBlue Canyon (5300)Average Temp (42.5 F): Rainfall = 19.8 inches SWE loss = 5.3 inches Ratio = 27 %Greek Store (5600): Rainfall = 13.8 inches SWE loss = 0.80 inches Ratio = 6 %Dec. 30, 1996 Jan. 2, 1997Greek Store snowpack was deeper and less ripe, more sheltered.Rain-on-snow melt is highly dependent on pack conditions

  • Example 1997 EventHuysink (6600)Average Temp (42.5 F) Rainfall = 16.55 inches SWE loss = 2.0 inches Ratio = 12 %Central Sierra Snow Lab: CSSL (6900): Rainfall = ?? SWE loss = 0.0 inchesRatio = 0 %Dec. 30, 1996 Jan. 2, 1997At 6900 the rain passed through the deep CSSL snowpack with no melt.

  • Example 1997 EventDec. 30, 1996 Jan. 2, 1997NFDC1UP is represents the basin average rain-on-snow snowmeltSNOW 17 (NFDC1UP): Average Temp (41 F) Rainfall = 18.0 inches SWE loss = 3.28 inches Ratio = 18 %

  • Snowmelt Due to Rain-on-Snow Rain-on-Snow is a complex phenomena. Many variables need to be considered. (Temperature, humidity, wind speed, snowpack conditions, forests,) The strongest component is usually turbulent transfer. All components together may reach 25% (or more) snowmelt-to-rain ratios in very warm events, especially at lower elevations. When snowpack is deep and still cold, little additional snowmelt occurs during rain-on-snow events.Summary