Calculos Para Hallar Kc

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&APgina &P

AjoCALCULO DE Kc DE CULTIVOS PARA DEMANDA DE AGUAProyecto : CONSTRUCCION "CANAL DE IRRIGACION SUYTUCCOCHA"Ubicacin : Distrito ANDAHUAYLAS, Prov. ANDAHUAYLAS Dpto. APURIMAC,FECHA : Setiembre 2005Clculo de Eto Mtodo de PenmanEste mtodo se utiliza en zonas donde se disponga de datos medidos sobre temperatura, radiacin,humedad y viento. Es el ms exacto de los que utilizan frmulas empricas para predecir lasnecesidades hdricas de los cultivos, pero exige unos clculos laboriosos. Se aplica la frmulasiguiente:ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]Donde:ETo = Evapotranspiracin de1 cultivo de referencia, expresado en mm/da.ea = Presin saturante del vapor de agua, expresada en milibares (tabla 5).ed = Presin real del vapor de agua, expresada en milibares.ed=ea x RH100Donde:(RH = Humedad relativa media, en porcentaje)f(u)=0.27 (1+ u )100Donde:(u es la velocidad del viento expresada en km/da, a 2 m de altura).Rn = Radiacin neta total, expresada en equivalente de evaporacin en mm/da.Rn = 0.75 Rs RnlRs = ( 0,25+ 0.5 n/N ) RaDonde:Rs, Ra, n y N son los mismos conceptos indicados en el mtodo de radiacin (tablas 2 y 3).Rnl = Radiacin neta de onda larga, expresada en equivalente de evaporacin en mm/da.Rnl = f (T) x f (ed) x f (n/N )(tablas 6.7 y 8)W = Factor de ponderacin (tabla 4).c = Factor de ajuste (tabla 9).DATOS DE CALCULO DE ETo:- Temperatura media del mes . . . . . . . . . . . . . . . . . . . . . .11 C- Latitud . . . . . . . . . . . . . . .13.73 N- Altitud . . . . . . . . . . . . . . . . . . .3650 m- Insolacin fuerte media durante el mes . . . . . . . . . . . . . . . . . . . . . . .12.7 horas diarias- Humedad realtiva mnima . . . . . . . . . . . . . . . . . . . . . . . . .48%- Humedad realtiva mxima . . . . . . . . . . . . . . . . . . . . . . . . .71%0.597- Velocidad del viento. . . . . . . . . . . . . . . . . . . . . . . . . . . .173 Km/da- Relacin velocidad viento da/velocidad viento noche . . . . . . . . . . . . . . . . . . . . .1.50RH=(RHmax+Rhmin)2RH=59.7%ea=13.10 mbarDato de temperatura =11 CTabla 5: Presin de saturacin del vapor (ea) en mbar, en funcin de la temperatura media del aire (T) en CTemperatura C012345678910111213141516171819ea mbar6.106.607.107.608.108.709.3010.0010.7011.5012.3013.1014.0015.0016.1017.0018.2019.4020.6022.00Temperatura C2021222324252627282930313233343536373839ea mbar23.4024.9026.4028.1029.8031.7033.6035.7037.8040.1042.4044.9047.6050.3053.2056.2059.4062.8066.3069.90ed=7.82 mbarea - ed =5.28 mbarf (u)=0.74Ra=16.50 mm/daLatitud =14 NorteTabla 3 : Radiacin extraterrestre Ra expresada en equivalente de evaporacin de agua en mm/daLatitudHemisferio SurEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembre5017.514.710.97.04.23.13.55.58.912.916.518.24817.614.911.27.54.73.54.06.09.313.216.618.24617.715.111.57.95.24.04.46.59.713.416.718.34417.815.311.98.45.74.44.96.910.213.716.718.34217.815.512.28.86.14.95.47.410.614.016.818.34017.915.712.59.26.65.35.97.911.014.216.918.33817.915.812.89.67.15.86.38.311.414.417.018.33617.916.013.210.17.56.36.88.811.714.617.018.23417.816.113.510.58.06.87.29.212.014.917.118.23217.816.213.810.98.57.37.79.612.415.117.218.13017.816.414.011.38.97.88.110.112.715.317.318.12817.716.414.311.69.38.28.610.413.015.417.217.92617.616.414.412.09.78.79.110.913.215.517.217.82417.516.514.612.310.29.19.511.213.415.617.117.72217.416.514.812.610.69.610.011.613.715.717.017.52017.316.515.013.011.010.010.412.013.915.817.017.41817.116.515.113.211.410.410.812.314.115.816.817.11616.916.415.213.511.710.811.212.614.315.816.716.81416.716.415.313.712.111.211.612.914.515.816.516.61216.616.315.414.012.511.612.013.214.715.816.416.51016.416.315.514.212.812.012.413.514.815.916.216.2816.116.115.514.413.112.412.713.714.915.816.016.0615.816.015.614.713.412.813.114.015.015.715.815.7415.515.815.614.913.813.213.414.314.115.615.515.4215.315.715.715.114.113.513.714.514.215.515.315.1015.015.515.715.314.413.914.114.815.315.415.114.8N=12.8 horas/daLatitud =14 SurTabla 2: Duracin mxima diaria media de las horas de fuerte insolacin N en diferentes meses y latitudesLatitud NorteEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembreLatitud SurJulioAgostoSeptiembreOctubreNoviembreDiciembreEneroFebreroMarzoAbrilMayoJunio508.510.111.813.815.416.315.914.512.710.89.18.1488.810.211.813.615.216.015.614.312.610.99.38.3469.110.411.913.514.915.715.414.212.610.99.58.7449.310.511.913.414.715.415.214.012.611.09.78.9429.410.611.913.414.615.214.913.912.611.19.89.1409.610.711.913.314.415.014.7137.012.511.210.09.33510.111.011.913.114.014.514.313.512.411.310.39.83010.411.112.012.913.614.013.913.212.411.510.610.22510.711.312.012.713.313.713.513.012.311.610.910.62011.011.512.012.613.113.313.212.812.311.711.210.91511.311.612.012.512.813.012.912.612.211.811.411.21011.611.812.012.312.612.712.612.412.111.811.611.5511.811.912.012.212.312.412.312.312.112.011.911.8012.112.112.112.112.112.112.112.112.112.112.112.1Rs=12.31 mm/daf (T)=12.7Dato de temperatura =11 Cf (ed)=0.22Dato de ed =7.82 mbarf (n/N)=0.96Funcin de n/N=0.99Rnl=2.68 mm/daTabla 6: Efecto de la temperatura f(T) sobre la radiacin de onda larga (Rnl)Temperatura C024681012141618202224262830323436f (T) = T k1111.411.71212.412.713.113.513.814.214.61515.415.916.316.717.217.718.1colocar en el minimo0.211Tabla 7: Efecto de la presin real del vapor de agua f(ed,) sobre la radiacin de onda larga (Rnl)ed mbar6810121416182022242628303234363840f(ed) =0.34 - 0.044 x0.230.220.20.190.180.160.150.140.130.120.120.110.10.090.080.080.070.061.0121875Tabla 8: Efecto de la relacin entre el nmero real y el mximo de horas de fuerte insolacin f(n/N), sobrela radiacin de onda larga (Rnl)n/N00.050.10.150.20.250.30.350.40.450.50.550.60.650.70.750.80.850.90.951+ 0.9 n/N0.10.150.190.240.280.230.370.420.460.510.550.60.640.690.730.780.820.870.910.961Rn= 0.75Rs-RnlRn=6.55 mm/daW=0.64Tabla 4En funcin a temperaturas y altitudesc=1.05Tabla 9Tabla 4: Valores del factor de ponderacin W para los efectos de la radiacin sobre la ETo, a diferentestemperaturas y altitudes.Temperatura246810121416182022242628303234363840C00.430.460.490.520.550.580.610.640.660.680.710.730.750.770.780.80.820.830.840.855000.450.480.510.540.570.60.620.650.670.70.720.740.760.780.790.810.820.840.850.8610000.460.490.520.550.580.610.640.660.690.710.730.750.770.790.80.820.830.850.860.87Alt=3650 m20000.490.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.870.8830000.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.880.880.8940000.550.580.610.640.660.690.710.730.760.780.790.810.830.840.850.860.880.890.90.9Rs=12.31 mm/dau=2 m/sRHmax=71%U dia/noche=1.50Tabla 9: Factor de ajuste (c) en la ecuacin de Penman modificadaRH mx = 30%RH mx = 60%RH mx = 90%Rs mm/da369123691236912U da m/sU da / U noche = 4.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.790.840.920.970.9211.111.190.991.11.271.326 m/s0.680.770.870.930.850.961.111.190.941.11.261.339 m/s0.550.650.780.90.760.881.021.140.881.011.061.27U da/U noche = 3.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.760.810.880.940.870.961.061.120.941.041.181.286 m/s0.610.680.810.880.770.881.021.10.861.011.151.229 m/s0.460.560.720.820.670.790.881.050.780.921.061.18U da/U noche = 2.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.690.760.850.920.830.910.991.050.890.981.11.146 m/s0.530.610.740.840.70.90.941.020.790.921.051.129 m/s0.370.480.650.760.590.70.840.950.710.810.961.06U da/U noche = 1.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.640.710.820.890.780.860.940.990.850.921.011.056 m/s0.430.530.680.790.620.70.840.930.720.820.9519 m/s0.270.410.590.70.50.60.750.870.620.720.870.96ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]ETo=3.89 mm/diaClculo de Kc para la primera fase para el cultivo AJO2 das7 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.100.000.88Kc=0.9641.001.06Kc=0.5961.000.782.001.012.000.673.000.973.000.604.000.924.000.535.000.905.000.456.000.856.000.407.000.827.000.368.000.808.000.349.000.809.000.3310.000.8010.000.324 das10 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.010.000.70Kc=0.7431.000.91Kc=0.4561.000.622.000.842.000.533.000.753.000.444.000.694.000.385.000.635.000.316.000.586.000.267.000.547.000.238.000.528.000.229.000.509.000.2110.000.5010.000.2120 dasIntervalo de Riego en la Sierra3.89 mm/diaEto (mm/da)KcPapa7 dias0.000.53Maiz7 diasKc=0.3321.000.45Haba4 dias2.000.40Kc (2dias)=0.964Cebada5 dias3.000.33Trigo5 dias4.000.28Kc (4dias)=0.743Olluco7 dias5.000.21Arveja9 dias6.000.17Kc (7dias)=0.596Hortalizas4 dias7.000.14Oregano4 dias8.000.14Kc (10dias)=0.456Alfalfa8 dias9.000.13Alcachofa7 dias10.000.14Kc (20dias)=0.332Quinua7 diasKiwicha7 diasCebolla5 dasAjo5 diasClculo de Kc para la tercera y fin de temporada (4ta fase) para cultivos anualesTERCERA FASECUARTA FASETipo de cultivo:AjoTipo de cultivo:AjoHumedad relativa de la temporada=70.7%Humedad relativa de la temporada=69.7%108Velocidad del viento =108.0 Km/da1.25 m/sVelocidad del viento =86 Km/da1.00 m/sPARA CULTIVOS DE CAMPO ANUALES67.7Coeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Algodn1.051.151.201.250.650.650.650.70Avena1.051.101.151.200.250.250.200.20Crtamo1.051.101.151.200.250.250.200.20Cebada1.051.101.151.200.250.250.200.20Frijol seco1.051.101.151.200.300.300.250.25Girasol1.051.101.151.200.400.400.350.35Granos1.051.101.151.200.300.300.250.25Leguminosas1.051.101.151.200.300.300.250.25Lentejas1.051.101.151.200.300.300.250.25Lino1.001.051.101.150.250.250.200.20Man0.951.001.051.100.550.550.600.60Maiz dulce1.051.101.151.200.951.001.051.10Maiz grano1.051.101.151.200.550.550.600.60Meln0.950.951.001.050.650.650.750.75Mijo1.001.051.101.150.300.300.250.25Remolacha1.051.101.151.200.900.951.001.00Ricino1.051.101.151.200.500.500.500.50Soya1.001.051.101.150.450.450.450.45Sorgo1.001.051.101.150.500.500.550.55Trigo1.051.101.151.200.250.250.200.20Hortalizas1.011.061.111.160.510.510.530.53PARA HORTALIZASCoeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Alcachofas0.950.951.001.050.900.900.951.00Apio1.001.051.101.150.900.951.001.05Arvejas1.051.101.151.200.951.001.051.10Berenjena0.951.001.051.100.800.850.850.90Calabaza0.900.900.951.000.700.750.750.80Cebolla seca0.950.951.051.100.750.800.800.85Cebolla verde0.950.951.001.050.951.001.001.05Col, coliflor0.951.001.051.100.800.900.900.95Espinaca0.950.951.001.050.900.950.951.00Frijol verde0.950.951.001.050.850.900.900.90Guisante1.051.101.151.200.951.051.051.10Lechuga0.950.951.001.050.900.900.901.00Papas1.051.101.151.200.700.750.750.75Pepino verde0.900.900.951.000.700.750.750.80Pimiento fresco0.951.001.051.100.800.850.850.90Rbanos0.800.800.850.900.750.800.800.85Remolacha de mesa1.001.001.051.100.900.950.951.00Tomate1.051.101.201.250.600.650.650.65Zanahorias1.001.051.101.150.700.800.800.85Granos1.051.101.151.200.300.300.250.25N de dasValor de Kc10.600Primera fase145200.600Primera fase550.95Tercera fase850.95Tercera fase1150.95Tercera fase2101Cuarta faseIngrese da=15Kc= 0.61Ingrese da=45Kc= 0.86Ingrese da=75Kc= 0.95Ingrese da=105Kc= 0.97Ingrese da=145Kc= 0.95Ingrese da=175Kc= 0.93Ingrese da=205Kc= 0.90

Ajo1.11.010.880.70.531.060.910.780.620.451.010.840.670.530.40.9650.750.60.440.3250.920.6850.530.380.2750.90.6250.450.310.2050.8450.580.40.260.170.820.540.360.2250.140.80.520.340.220.1350.80.5010.330.210.130.80.5010.320.210.135

&APage &P2 das4 das7 das10 das20 dasETo (mm/da)Kc = K(cultivo)Clculo de Kc Para Cultivos Anuales (1ra fase)

Cebolla

N de dasKc CorregidoGRAFICO Kc CORREGIDO

KiwichaCALCULO DE Kc DE CULTIVOS PARA DEMANDA DE AGUAProyecto : CONSTRUCCION "CANAL DE IRRIGACION SUYTUCCOCHA"Ubicacin : Distrito ANDAHUAYLAS, Prov. ANDAHUAYLAS Dpto. APURIMAC,FECHA : Setiembre 2005Clculo de Eto Mtodo de PenmanEste mtodo se utiliza en zonas donde se disponga de datos medidos sobre temperatura, radiacin,humedad y viento. Es el ms exacto de los que utilizan frmulas empricas para predecir lasnecesidades hdricas de los cultivos, pero exige unos clculos laboriosos. Se aplica la frmulasiguiente:ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]Donde:ETo = Evapotranspiracin de1 cultivo de referencia, expresado en mm/da.ea = Presin saturante del vapor de agua, expresada en milibares (tabla 5).ed = Presin real del vapor de agua, expresada en milibares.ed=ea x RH100Donde:(RH = Humedad relativa media, en porcentaje)f(u)=0.27 (1+ u )100Donde:(u es la velocidad del viento expresada en km/da, a 2 m de altura).Rn = Radiacin neta total, expresada en equivalente de evaporacin en mm/da.Rn = 0.75 Rs RnlRs = ( 0,25+ 0.5 n/N ) RaDonde:Rs, Ra, n y N son los mismos conceptos indicados en el mtodo de radiacin (tablas 2 y 3).Rnl = Radiacin neta de onda larga, expresada en equivalente de evaporacin en mm/da.Rnl = f (T) x f (ed) x f (n/N )(tablas 6.7 y 8)W = Factor de ponderacin (tabla 4).c = Factor de ajuste (tabla 9).DATOS DE CALCULO DE ETo:- Temperatura media del mes . . . . . . . . . . . . . . . . . . . . . .11 C- Latitud . . . . . . . . . . . . . . .13.73 N- Altitud . . . . . . . . . . . . . . . . . . .3650 m- Insolacin fuerte media durante el mes . . . . . . . . . . . . . . . . . . . . . . .12.7 horas diarias- Humedad realtiva mnima . . . . . . . . . . . . . . . . . . . . . . . . .48%- Humedad realtiva mxima . . . . . . . . . . . . . . . . . . . . . . . . .71%0.597- Velocidad del viento. . . . . . . . . . . . . . . . . . . . . . . . . . . .173 Km/da- Relacin velocidad viento da/velocidad viento noche . . . . . . . . . . . . . . . . . . . . .1.50RH=(RHmax+Rhmin)2RH=59.7%ea=13.10 mbarDato de temperatura =11 CTabla 5: Presin de saturacin del vapor (ea) en mbar, en funcin de la temperatura media del aire (T) en CTemperatura C012345678910111213141516171819ea mbar6.106.607.107.608.108.709.3010.0010.7011.5012.3013.1014.0015.0016.1017.0018.2019.4020.6022.00Temperatura C2021222324252627282930313233343536373839ea mbar23.4024.9026.4028.1029.8031.7033.6035.7037.8040.1042.4044.9047.6050.3053.2056.2059.4062.8066.3069.90ed=7.82 mbarea - ed =5.28 mbarf (u)=0.74Ra=16.50 mm/daLatitud =14 NorteTabla 3 : Radiacin extraterrestre Ra expresada en equivalente de evaporacin de agua en mm/daLatitudHemisferio SurEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembre5017.514.710.97.04.23.13.55.58.912.916.518.24817.614.911.27.54.73.54.06.09.313.216.618.24617.715.111.57.95.24.04.46.59.713.416.718.34417.815.311.98.45.74.44.96.910.213.716.718.34217.815.512.28.86.14.95.47.410.614.016.818.34017.915.712.59.26.65.35.97.911.014.216.918.33817.915.812.89.67.15.86.38.311.414.417.018.33617.916.013.210.17.56.36.88.811.714.617.018.23417.816.113.510.58.06.87.29.212.014.917.118.23217.816.213.810.98.57.37.79.612.415.117.218.13017.816.414.011.38.97.88.110.112.715.317.318.12817.716.414.311.69.38.28.610.413.015.417.217.92617.616.414.412.09.78.79.110.913.215.517.217.82417.516.514.612.310.29.19.511.213.415.617.117.72217.416.514.812.610.69.610.011.613.715.717.017.52017.316.515.013.011.010.010.412.013.915.817.017.41817.116.515.113.211.410.410.812.314.115.816.817.11616.916.415.213.511.710.811.212.614.315.816.716.81416.716.415.313.712.111.211.612.914.515.816.516.61216.616.315.414.012.511.612.013.214.715.816.416.51016.416.315.514.212.812.012.413.514.815.916.216.2816.116.115.514.413.112.412.713.714.915.816.016.0615.816.015.614.713.412.813.114.015.015.715.815.7415.515.815.614.913.813.213.414.314.115.615.515.4215.315.715.715.114.113.513.714.514.215.515.315.1015.015.515.715.314.413.914.114.815.315.415.114.8N=12.8 horas/daLatitud =14 SurTabla 2: Duracin mxima diaria media de las horas de fuerte insolacin N en diferentes meses y latitudesLatitud NorteEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembreLatitud SurJulioAgostoSeptiembreOctubreNoviembreDiciembreEneroFebreroMarzoAbrilMayoJunio508.510.111.813.815.416.315.914.512.710.89.18.1488.810.211.813.615.216.015.614.312.610.99.38.3469.110.411.913.514.915.715.414.212.610.99.58.7449.310.511.913.414.715.415.214.012.611.09.78.9429.410.611.913.414.615.214.913.912.611.19.89.1409.610.711.913.314.415.014.7137.012.511.210.09.33510.111.011.913.114.014.514.313.512.411.310.39.83010.411.112.012.913.614.013.913.212.411.510.610.22510.711.312.012.713.313.713.513.012.311.610.910.62011.011.512.012.613.113.313.212.812.311.711.210.91511.311.612.012.512.813.012.912.612.211.811.411.21011.611.812.012.312.612.712.612.412.111.811.611.5511.811.912.012.212.312.412.312.312.112.011.911.8012.112.112.112.112.112.112.112.112.112.112.112.1Rs=12.31 mm/daf (T)=12.7Dato de temperatura =11 Cf (ed)=0.22Dato de ed =7.82 mbarf (n/N)=0.96Funcin de n/N=0.99Rnl=2.68 mm/daTabla 6: Efecto de la temperatura f(T) sobre la radiacin de onda larga (Rnl)Temperatura C024681012141618202224262830323436f (T) = T k1111.411.71212.412.713.113.513.814.214.61515.415.916.316.717.217.718.1colocar en el minimo0.211Tabla 7: Efecto de la presin real del vapor de agua f(ed,) sobre la radiacin de onda larga (Rnl)ed mbar6810121416182022242628303234363840f(ed) =0.34 - 0.044 x0.230.220.20.190.180.160.150.140.130.120.120.110.10.090.080.080.070.061.0121875Tabla 8: Efecto de la relacin entre el nmero real y el mximo de horas de fuerte insolacin f(n/N), sobrela radiacin de onda larga (Rnl)n/N00.050.10.150.20.250.30.350.40.450.50.550.60.650.70.750.80.850.90.951+ 0.9 n/N0.10.150.190.240.280.230.370.420.460.510.550.60.640.690.730.780.820.870.910.961Rn= 0.75Rs-RnlRn=6.55 mm/daW=0.64Tabla 4En funcin a temperaturas y altitudesc=1.05Tabla 9Tabla 4: Valores del factor de ponderacin W para los efectos de la radiacin sobre la ETo, a diferentestemperaturas y altitudes.Temperatura246810121416182022242628303234363840C00.430.460.490.520.550.580.610.640.660.680.710.730.750.770.780.80.820.830.840.855000.450.480.510.540.570.60.620.650.670.70.720.740.760.780.790.810.820.840.850.8610000.460.490.520.550.580.610.640.660.690.710.730.750.770.790.80.820.830.850.860.87Alt=3650 m20000.490.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.870.8830000.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.880.880.8940000.550.580.610.640.660.690.710.730.760.780.790.810.830.840.850.860.880.890.90.9Rs=12.31 mm/dau=2 m/sRHmax=71%U dia/noche=1.50Tabla 9: Factor de ajuste (c) en la ecuacin de Penman modificadaRH mx = 30%RH mx = 60%RH mx = 90%Rs mm/da369123691236912U da m/sU da / U noche = 4.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.790.840.920.970.9211.111.190.991.11.271.326 m/s0.680.770.870.930.850.961.111.190.941.11.261.339 m/s0.550.650.780.90.760.881.021.140.881.011.061.27U da/U noche = 3.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.760.810.880.940.870.961.061.120.941.041.181.286 m/s0.610.680.810.880.770.881.021.10.861.011.151.229 m/s0.460.560.720.820.670.790.881.050.780.921.061.18U da/U noche = 2.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.690.760.850.920.830.910.991.050.890.981.11.146 m/s0.530.610.740.840.70.90.941.020.790.921.051.129 m/s0.370.480.650.760.590.70.840.950.710.810.961.06U da/U noche = 1.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.640.710.820.890.780.860.940.990.850.921.011.056 m/s0.430.530.680.790.620.70.840.930.720.820.9519 m/s0.270.410.590.70.50.60.750.870.620.720.870.96ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]ETo=3.89 mm/diaClculo de Kc para la primera fase para el cultivo de CEBOLLA2 das7 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.100.000.88Kc=0.9641.001.06Kc=0.5961.000.782.001.012.000.673.000.973.000.604.000.924.000.535.000.905.000.456.000.856.000.407.000.827.000.368.000.808.000.349.000.809.000.3310.000.8010.000.324 das10 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.010.000.70Kc=0.7431.000.91Kc=0.4561.000.622.000.842.000.533.000.753.000.444.000.694.000.385.000.635.000.316.000.586.000.267.000.547.000.238.000.528.000.229.000.509.000.2110.000.5010.000.2120 dasIntervalo de Riego en la Sierra3.89 mm/diaEto (mm/da)KcPapa7 dias0.000.53Maiz7 diasKc=0.3321.000.45Haba4 dias2.000.40Kc (2dias)=0.964Cebada5 dias3.000.33Trigo5 dias4.000.28Kc (4dias)=0.743Olluco7 dias5.000.21Arveja9 dias6.000.17Kc (7dias)=0.596Hortalizas4 dias7.000.14Oregano4 dias8.000.14Kc (10dias)=0.456Alfalfa8 dias9.000.13Alcachofa7 dias10.000.14Kc (20dias)=0.332Quinua7 diasKiwicha7 diasCebolla5 dasClculo de Kc para la tercera y fin de temporada (4ta fase) para cultivos anualesTERCERA FASECUARTA FASETipo de cultivo:CebollaTipo de cultivo:CebollaHumedad relativa de la temporada=70.7%Humedad relativa de la temporada=69.7%108Velocidad del viento =108.0 Km/da1.25 m/sVelocidad del viento =86 Km/da1.00 m/sPARA CULTIVOS DE CAMPO ANUALES67.7Coeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Algodn1.051.151.201.250.650.650.650.70Avena1.051.101.151.200.250.250.200.20Crtamo1.051.101.151.200.250.250.200.20Cebada1.051.101.151.200.250.250.200.20Frijol seco1.051.101.151.200.300.300.250.25Girasol1.051.101.151.200.400.400.350.35Granos1.051.101.151.200.300.300.250.25Leguminosas1.051.101.151.200.300.300.250.25Lentejas1.051.101.151.200.300.300.250.25Lino1.001.051.101.150.250.250.200.20Man0.951.001.051.100.550.550.600.60Maiz dulce1.051.101.151.200.951.001.051.10Maiz grano1.051.101.151.200.550.550.600.60Meln0.950.951.001.050.650.650.750.75Mijo1.001.051.101.150.300.300.250.25Remolacha1.051.101.151.200.900.951.001.00Ricino1.051.101.151.200.500.500.500.50Soya1.001.051.101.150.450.450.450.45Sorgo1.001.051.101.150.500.500.550.55Trigo1.051.101.151.200.250.250.200.20Hortalizas1.011.061.111.160.510.510.530.53PARA HORTALIZASCoeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Alcachofas0.950.951.001.050.900.900.951.00Apio1.001.051.101.150.900.951.001.05Arvejas1.051.101.151.200.951.001.051.10Berenjena0.951.001.051.100.800.850.850.90Calabaza0.900.900.951.000.700.750.750.80Cebolla seca0.950.951.051.100.750.800.800.85Cebolla verde0.950.951.001.050.951.001.001.05Col, coliflor0.951.001.051.100.800.900.900.95Espinaca0.950.951.001.050.900.950.951.00Frijol verde0.950.951.001.050.850.900.900.90Guisante1.051.101.151.200.951.051.051.10Lechuga0.950.951.001.050.900.900.901.00Papas1.051.101.151.200.700.750.750.75Pepino verde0.900.900.951.000.700.750.750.80Pimiento fresco0.951.001.051.100.800.850.850.90Rbanos0.800.800.850.900.750.800.800.85Remolacha de mesa1.001.001.051.100.900.950.951.00Tomate1.051.101.201.250.600.650.650.65Zanahorias1.001.051.101.150.700.800.800.85Granos1.051.101.151.200.300.300.250.25N de dasValor de Kc10.600Primera fase145150.600Primera fase400.95Tercera fase750.95Tercera fase1100.95Tercera fase1501Cuarta faseIngrese da=15Kc= 0.67Ingrese da=45Kc= 0.90Ingrese da=75Kc= 1.03Ingrese da=105Kc= 1.10Ingrese da=145Kc= 1.00

Kiwicha1.11.010.880.70.531.060.910.780.620.451.010.840.670.530.40.9650.750.60.440.3250.920.6850.530.380.2750.90.6250.450.310.2050.8450.580.40.260.170.820.540.360.2250.140.80.520.340.220.1350.80.5010.330.210.130.80.5010.320.210.135


Quinua


HortalizasCALCULO DE Kc DE CULTIVOS PARA DEMANDA DE AGUAProyecto : CONSTRUCCION "CANAL DE IRRIGACION SUYTUCCOCHA"Ubicacin : Distrito ANDAHUAYLAS, Prov. ANDAHUAYLAS Dpto. APURIMAC,FECHA : Setiembre 2005Clculo de Eto Mtodo de PenmanEste mtodo se utiliza en zonas donde se disponga de datos medidos sobre temperatura, radiacin,humedad y viento. Es el ms exacto de los que utilizan frmulas empricas para predecir lasnecesidades hdricas de los cultivos, pero exige unos clculos laboriosos. Se aplica la frmulasiguiente:ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]Donde:ETo = Evapotranspiracin de1 cultivo de referencia, expresado en mm/da.ea = Presin saturante del vapor de agua, expresada en milibares (tabla 5).ed = Presin real del vapor de agua, expresada en milibares.ed=ea x RH100Donde:(RH = Humedad relativa media, en porcentaje)f(u)=0.27 (1+ u )100Donde:(u es la velocidad del viento expresada en km/da, a 2 m de altura).Rn = Radiacin neta total, expresada en equivalente de evaporacin en mm/da.Rn = 0.75 Rs RnlRs = ( 0,25+ 0.5 n/N ) RaDonde:Rs, Ra, n y N son los mismos conceptos indicados en el mtodo de radiacin (tablas 2 y 3).Rnl = Radiacin neta de onda larga, expresada en equivalente de evaporacin en mm/da.Rnl = f (T) x f (ed) x f (n/N )(tablas 6.7 y 8)W = Factor de ponderacin (tabla 4).c = Factor de ajuste (tabla 9).DATOS DE CALCULO DE ETo:- Temperatura media del mes . . . . . . . . . . . . . . . . . . . . . .11 C- Latitud . . . . . . . . . . . . . . .13.73 N- Altitud . . . . . . . . . . . . . . . . . . .3650 m- Insolacin fuerte media durante el mes . . . . . . . . . . . . . . . . . . . . . . .12.7 horas diarias- Humedad realtiva mnima . . . . . . . . . . . . . . . . . . . . . . . . .48%- Humedad realtiva mxima . . . . . . . . . . . . . . . . . . . . . . . . .71%0.597- Velocidad del viento. . . . . . . . . . . . . . . . . . . . . . . . . . . .173 Km/da- Relacin velocidad viento da/velocidad viento noche . . . . . . . . . . . . . . . . . . . . .1.50RH=(RHmax+Rhmin)2RH=59.7%ea=13.10 mbarDato de temperatura =11 CTabla 5: Presin de saturacin del vapor (ea) en mbar, en funcin de la temperatura media del aire (T) en CTemperatura C012345678910111213141516171819ea mbar6.106.607.107.608.108.709.3010.0010.7011.5012.3013.1014.0015.0016.1017.0018.2019.4020.6022.00Temperatura C2021222324252627282930313233343536373839ea mbar23.4024.9026.4028.1029.8031.7033.6035.7037.8040.1042.4044.9047.6050.3053.2056.2059.4062.8066.3069.90ed=7.82 mbarea - ed =5.28 mbarf (u)=0.74Ra=16.50 mm/daLatitud =14 NorteTabla 3 : Radiacin extraterrestre Ra expresada en equivalente de evaporacin de agua en mm/daLatitudHemisferio SurEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembre5017.514.710.97.04.23.13.55.58.912.916.518.24817.614.911.27.54.73.54.06.09.313.216.618.24617.715.111.57.95.24.04.46.59.713.416.718.34417.815.311.98.45.74.44.96.910.213.716.718.34217.815.512.28.86.14.95.47.410.614.016.818.34017.915.712.59.26.65.35.97.911.014.216.918.33817.915.812.89.67.15.86.38.311.414.417.018.33617.916.013.210.17.56.36.88.811.714.617.018.23417.816.113.510.58.06.87.29.212.014.917.118.23217.816.213.810.98.57.37.79.612.415.117.218.13017.816.414.011.38.97.88.110.112.715.317.318.12817.716.414.311.69.38.28.610.413.015.417.217.92617.616.414.412.09.78.79.110.913.215.517.217.82417.516.514.612.310.29.19.511.213.415.617.117.72217.416.514.812.610.69.610.011.613.715.717.017.52017.316.515.013.011.010.010.412.013.915.817.017.41817.116.515.113.211.410.410.812.314.115.816.817.11616.916.415.213.511.710.811.212.614.315.816.716.81416.716.415.313.712.111.211.612.914.515.816.516.61216.616.315.414.012.511.612.013.214.715.816.416.51016.416.315.514.212.812.012.413.514.815.916.216.2816.116.115.514.413.112.412.713.714.915.816.016.0615.816.015.614.713.412.813.114.015.015.715.815.7415.515.815.614.913.813.213.414.314.115.615.515.4215.315.715.715.114.113.513.714.514.215.515.315.1015.015.515.715.314.413.914.114.815.315.415.114.8N=12.8 horas/daLatitud =14 SurTabla 2: Duracin mxima diaria media de las horas de fuerte insolacin N en diferentes meses y latitudesLatitud NorteEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembreLatitud SurJulioAgostoSeptiembreOctubreNoviembreDiciembreEneroFebreroMarzoAbrilMayoJunio508.510.111.813.815.416.315.914.512.710.89.18.1488.810.211.813.615.216.015.614.312.610.99.38.3469.110.411.913.514.915.715.414.212.610.99.58.7449.310.511.913.414.715.415.214.012.611.09.78.9429.410.611.913.414.615.214.913.912.611.19.89.1409.610.711.913.314.415.014.7137.012.511.210.09.33510.111.011.913.114.014.514.313.512.411.310.39.83010.411.112.012.913.614.013.913.212.411.510.610.22510.711.312.012.713.313.713.513.012.311.610.910.62011.011.512.012.613.113.313.212.812.311.711.210.91511.311.612.012.512.813.012.912.612.211.811.411.21011.611.812.012.312.612.712.612.412.111.811.611.5511.811.912.012.212.312.412.312.312.112.011.911.8012.112.112.112.112.112.112.112.112.112.112.112.1Rs=12.31 mm/daf (T)=12.7Dato de temperatura =11 Cf (ed)=0.22Dato de ed =7.82 mbarf (n/N)=0.96Funcin de n/N=0.99Rnl=2.68 mm/daTabla 6: Efecto de la temperatura f(T) sobre la radiacin de onda larga (Rnl)Temperatura C024681012141618202224262830323436f (T) = T k1111.411.71212.412.713.113.513.814.214.61515.415.916.316.717.217.718.1colocar en el minimo0.211Tabla 7: Efecto de la presin real del vapor de agua f(ed,) sobre la radiacin de onda larga (Rnl)ed mbar6810121416182022242628303234363840f(ed) =0.34 - 0.044 x0.230.220.20.190.180.160.150.140.130.120.120.110.10.090.080.080.070.061.0121875Tabla 8: Efecto de la relacin entre el nmero real y el mximo de horas de fuerte insolacin f(n/N), sobrela radiacin de onda larga (Rnl)n/N00.050.10.150.20.250.30.350.40.450.50.550.60.650.70.750.80.850.90.951+ 0.9 n/N0.10.150.190.240.280.230.370.420.460.510.550.60.640.690.730.780.820.870.910.961Rn= 0.75Rs-RnlRn=6.55 mm/daW=0.64Tabla 4En funcin a temperaturas y altitudesc=1.05Tabla 9Tabla 4: Valores del factor de ponderacin W para los efectos de la radiacin sobre la ETo, a diferentestemperaturas y altitudes.Temperatura246810121416182022242628303234363840C00.430.460.490.520.550.580.610.640.660.680.710.730.750.770.780.80.820.830.840.855000.450.480.510.540.570.60.620.650.670.70.720.740.760.780.790.810.820.840.850.8610000.460.490.520.550.580.610.640.660.690.710.730.750.770.790.80.820.830.850.860.87Alt=3650 m20000.490.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.870.8830000.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.880.880.8940000.550.580.610.640.660.690.710.730.760.780.790.810.830.840.850.860.880.890.90.9Rs=12.31 mm/dau=2 m/sRHmax=71%U dia/noche=1.50Tabla 9: Factor de ajuste (c) en la ecuacin de Penman modificadaRH mx = 30%RH mx = 60%RH mx = 90%Rs mm/da369123691236912U da m/sU da / U noche = 4.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.790.840.920.970.9211.111.190.991.11.271.326 m/s0.680.770.870.930.850.961.111.190.941.11.261.339 m/s0.550.650.780.90.760.881.021.140.881.011.061.27U da/U noche = 3.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.760.810.880.940.870.961.061.120.941.041.181.286 m/s0.610.680.810.880.770.881.021.10.861.011.151.229 m/s0.460.560.720.820.670.790.881.050.780.921.061.18U da/U noche = 2.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.690.760.850.920.830.910.991.050.890.981.11.146 m/s0.530.610.740.840.70.90.941.020.790.921.051.129 m/s0.370.480.650.760.590.70.840.950.710.810.961.06U da/U noche = 1.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.640.710.820.890.780.860.940.990.850.921.011.056 m/s0.430.530.680.790.620.70.840.930.720.820.9519 m/s0.270.410.590.70.50.60.750.870.620.720.870.96ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]ETo=3.89 mm/diaClculo de Kc para la primera fase para el cultivo de KIWICHA2 das7 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.100.000.88Kc=0.9641.001.06Kc=0.5961.000.782.001.012.000.673.000.973.000.604.000.924.000.535.000.905.000.456.000.856.000.407.000.827.000.368.000.808.000.349.000.809.000.3310.000.8010.000.324 das10 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.010.000.70Kc=0.7431.000.91Kc=0.4561.000.622.000.842.000.533.000.753.000.444.000.694.000.385.000.635.000.316.000.586.000.267.000.547.000.238.000.528.000.229.000.509.000.2110.000.5010.000.2120 dasIntervalo de Riego en la Sierra3.89 mm/diaEto (mm/da)KcPapa7 dias0.000.53Maiz7 diasKc=0.3321.000.45Haba4 dias2.000.40Kc (2dias)=0.964Cebada5 dias3.000.33Trigo5 dias4.000.28Kc (4dias)=0.743Olluco7 dias5.000.21Arveja9 dias6.000.17Kc (7dias)=0.596Hortalizas4 dias7.000.14primera faseOregano4 dias8.000.14Kc (10dias)=0.456Alfalfa8 dias9.000.13Alcachofa7 dias10.000.14Kc (20dias)=0.332Quinua7 diasKiwicha7 diasClculo de Kc para la tercera y fin de temporada (4ta fase) para cultivos anualesTERCERA FASECUARTA FASETipo de cultivo:KiwichaTipo de cultivo:KiwichaHumedad relativa de la temporada=70.7%Humedad relativa de la temporada=69.7%108Velocidad del viento =108.0 Km/da1.25 m/sVelocidad del viento =86 Km/da1.00 m/sPARA CULTIVOS DE CAMPO ANUALES67.7Coeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Algodn1.051.151.201.250.650.650.650.70Avena1.051.101.151.200.250.250.200.20Crtamo1.051.101.151.200.250.250.200.20Cebada1.051.101.151.200.250.250.200.20Frijol seco1.051.101.151.200.300.300.250.25Girasol1.051.101.151.200.400.400.350.35Granos1.051.101.151.200.300.300.250.25Leguminosas1.051.101.151.200.300.300.250.25Lentejas1.051.101.151.200.300.300.250.25Lino1.001.051.101.150.250.250.200.20Man0.951.001.051.100.550.550.600.60Maiz dulce1.051.101.151.200.951.001.051.10Maiz grano1.051.101.151.200.550.550.600.60Meln0.950.951.001.050.650.650.750.75Mijo1.001.051.101.150.300.300.250.25Remolacha1.051.101.151.200.900.951.001.00Ricino1.051.101.151.200.500.500.500.50Soya1.001.051.101.150.450.450.450.45Sorgo1.001.051.101.150.500.500.550.55Trigo1.051.101.151.200.250.250.200.20Hortalizas1.011.061.111.160.510.510.530.53PARA HORTALIZASCoeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Alcachofas0.950.951.001.050.900.900.951.00Apio1.001.051.101.150.900.951.001.05Arvejas1.051.101.151.200.951.001.051.10Berenjena0.951.001.051.100.800.850.850.90Calabaza0.900.900.951.000.700.750.750.80Cebolla seca0.950.951.051.100.750.800.800.85Cebolla verde0.950.951.001.050.951.001.001.05Col, coliflor0.951.001.051.100.800.900.900.95Espinaca0.950.951.001.050.900.950.951.00Frijol verde0.950.951.001.050.850.900.900.90Guisante1.051.101.151.200.951.051.051.10Lechuga0.950.951.001.050.900.900.901.00Papas1.051.101.151.200.700.750.750.75Pepino verde0.900.900.951.000.700.750.750.80Pimiento fresco0.951.001.051.100.800.850.850.90Rbanos0.800.800.850.900.750.800.800.85Remolacha de mesa1.001.001.051.100.900.950.951.00Tomate1.051.101.201.250.600.650.650.65Zanahorias1.001.051.101.150.700.800.800.85Granos1.051.101.151.200.300.300.250.25N de dasValor de Kc10.596Primera fase145250.596Primera fase551.15Tercera fase951.15Tercera fase1151.15Tercera fase1650.25Cuarta faseIngrese da=15Kc= 0.58Ingrese da=45Kc= 0.96Ingrese da=75Kc= 1.12Ingrese da=105Kc= 1.07135Kc= 0.70

Hortalizas0.7430.7431.11.11.10.51


Arveja1.11.010.880.70.531.060.910.780.620.451.010.840.670.530.40.9650.750.60.440.3250.920.6850.530.380.2750.90.6250.450.310.2050.8450.580.40.260.170.820.540.360.2250.140.80.520.340.220.1350.80.5010.330.210.130.80.5010.320.210.135


Olluco0.5960.5961.151.151.150.25


TrigoCALCULO DE Kc DE CULTIVOS PARA DEMANDA DE AGUAProyecto : CONSTRUCCION "CANAL DE IRRIGACION SUYTUCCOCHA"Ubicacin : Distrito ANDAHUAYLAS, Prov. ANDAHUAYLAS Dpto. APURIMAC,FECHA : Setiembre 2005Clculo de Eto Mtodo de PenmanEste mtodo se utiliza en zonas donde se disponga de datos medidos sobre temperatura, radiacin,humedad y viento. Es el ms exacto de los que utilizan frmulas empricas para predecir lasnecesidades hdricas de los cultivos, pero exige unos clculos laboriosos. Se aplica la frmulasiguiente:ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]Donde:ETo = Evapotranspiracin de1 cultivo de referencia, expresado en mm/da.ea = Presin saturante del vapor de agua, expresada en milibares (tabla 5).ed = Presin real del vapor de agua, expresada en milibares.ed=ea x RH100Donde:(RH = Humedad relativa media, en porcentaje)f(u)=0.27 (1+ u )100Donde:(u es la velocidad del viento expresada en km/da, a 2 m de altura).Rn = Radiacin neta total, expresada en equivalente de evaporacin en mm/da.Rn = 0.75 Rs RnlRs = ( 0,25+ 0.5 n/N ) RaDonde:Rs, Ra, n y N son los mismos conceptos indicados en el mtodo de radiacin (tablas 2 y 3).Rnl = Radiacin neta de onda larga, expresada en equivalente de evaporacin en mm/da.Rnl = f (T) x f (ed) x f (n/N )(tablas 6.7 y 8)W = Factor de ponderacin (tabla 4).c = Factor de ajuste (tabla 9).DATOS DE CALCULO DE ETo:- Temperatura media del mes . . . . . . . . . . . . . . . . . . . . . .11 C- Latitud . . . . . . . . . . . . . . .13.73 N- Altitud . . . . . . . . . . . . . . . . . . .3650 m- Insolacin fuerte media durante el mes . . . . . . . . . . . . . . . . . . . . . . .12.7 horas diarias- Humedad realtiva mnima . . . . . . . . . . . . . . . . . . . . . . . . .48%- Humedad realtiva mxima . . . . . . . . . . . . . . . . . . . . . . . . .71%0.597- Velocidad del viento. . . . . . . . . . . . . . . . . . . . . . . . . . . .173 Km/da- Relacin velocidad viento da/velocidad viento noche . . . . . . . . . . . . . . . . . . . . .1.50RH=(RHmax+Rhmin)2RH=59.7%ea=13.10 mbarDato de temperatura =11 CTabla 5: Presin de saturacin del vapor (ea) en mbar, en funcin de la temperatura media del aire (T) en CTemperatura C012345678910111213141516171819ea mbar6.106.607.107.608.108.709.3010.0010.7011.5012.3013.1014.0015.0016.1017.0018.2019.4020.6022.00Temperatura C2021222324252627282930313233343536373839ea mbar23.4024.9026.4028.1029.8031.7033.6035.7037.8040.1042.4044.9047.6050.3053.2056.2059.4062.8066.3069.90ed=7.82 mbarea - ed =5.28 mbarf (u)=0.74Ra=16.50 mm/daLatitud =14 NorteTabla 3 : Radiacin extraterrestre Ra expresada en equivalente de evaporacin de agua en mm/daLatitudHemisferio SurEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembre5017.514.710.97.04.23.13.55.58.912.916.518.24817.614.911.27.54.73.54.06.09.313.216.618.24617.715.111.57.95.24.04.46.59.713.416.718.34417.815.311.98.45.74.44.96.910.213.716.718.34217.815.512.28.86.14.95.47.410.614.016.818.34017.915.712.59.26.65.35.97.911.014.216.918.33817.915.812.89.67.15.86.38.311.414.417.018.33617.916.013.210.17.56.36.88.811.714.617.018.23417.816.113.510.58.06.87.29.212.014.917.118.23217.816.213.810.98.57.37.79.612.415.117.218.13017.816.414.011.38.97.88.110.112.715.317.318.12817.716.414.311.69.38.28.610.413.015.417.217.92617.616.414.412.09.78.79.110.913.215.517.217.82417.516.514.612.310.29.19.511.213.415.617.117.72217.416.514.812.610.69.610.011.613.715.717.017.52017.316.515.013.011.010.010.412.013.915.817.017.41817.116.515.113.211.410.410.812.314.115.816.817.11616.916.415.213.511.710.811.212.614.315.816.716.81416.716.415.313.712.111.211.612.914.515.816.516.61216.616.315.414.012.511.612.013.214.715.816.416.51016.416.315.514.212.812.012.413.514.815.916.216.2816.116.115.514.413.112.412.713.714.915.816.016.0615.816.015.614.713.412.813.114.015.015.715.815.7415.515.815.614.913.813.213.414.314.115.615.515.4215.315.715.715.114.113.513.714.514.215.515.315.1015.015.515.715.314.413.914.114.815.315.415.114.8N=12.8 horas/daLatitud =14 SurTabla 2: Duracin mxima diaria media de las horas de fuerte insolacin N en diferentes meses y latitudesLatitud NorteEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembreLatitud SurJulioAgostoSeptiembreOctubreNoviembreDiciembreEneroFebreroMarzoAbrilMayoJunio508.510.111.813.815.416.315.914.512.710.89.18.1488.810.211.813.615.216.015.614.312.610.99.38.3469.110.411.913.514.915.715.414.212.610.99.58.7449.310.511.913.414.715.415.214.012.611.09.78.9429.410.611.913.414.615.214.913.912.611.19.89.1409.610.711.913.314.415.014.7137.012.511.210.09.33510.111.011.913.114.014.514.313.512.411.310.39.83010.411.112.012.913.614.013.913.212.411.510.610.22510.711.312.012.713.313.713.513.012.311.610.910.62011.011.512.012.613.113.313.212.812.311.711.210.91511.311.612.012.512.813.012.912.612.211.811.411.21011.611.812.012.312.612.712.612.412.111.811.611.5511.811.912.012.212.312.412.312.312.112.011.911.8012.112.112.112.112.112.112.112.112.112.112.112.1Rs=12.31 mm/daf (T)=12.7Dato de temperatura =11 Cf (ed)=0.22Dato de ed =7.82 mbarf (n/N)=0.96Funcin de n/N=0.99Rnl=2.68 mm/daTabla 6: Efecto de la temperatura f(T) sobre la radiacin de onda larga (Rnl)Temperatura C024681012141618202224262830323436f (T) = T k1111.411.71212.412.713.113.513.814.214.61515.415.916.316.717.217.718.1colocar en el minimo0.211Tabla 7: Efecto de la presin real del vapor de agua f(ed,) sobre la radiacin de onda larga (Rnl)ed mbar6810121416182022242628303234363840f(ed) =0.34 - 0.044 x0.230.220.20.190.180.160.150.140.130.120.120.110.10.090.080.080.070.061.0121875Tabla 8: Efecto de la relacin entre el nmero real y el mximo de horas de fuerte insolacin f(n/N), sobrela radiacin de onda larga (Rnl)n/N00.050.10.150.20.250.30.350.40.450.50.550.60.650.70.750.80.850.90.951+ 0.9 n/N0.10.150.190.240.280.230.370.420.460.510.550.60.640.690.730.780.820.870.910.961Rn= 0.75Rs-RnlRn=6.55 mm/daW=0.64Tabla 4En funcin a temperaturas y altitudesc=1.05Tabla 9Tabla 4: Valores del factor de ponderacin W para los efectos de la radiacin sobre la ETo, a diferentestemperaturas y altitudes.Temperatura246810121416182022242628303234363840C00.430.460.490.520.550.580.610.640.660.680.710.730.750.770.780.80.820.830.840.855000.450.480.510.540.570.60.620.650.670.70.720.740.760.780.790.810.820.840.850.8610000.460.490.520.550.580.610.640.660.690.710.730.750.770.790.80.820.830.850.860.87Alt=3650 m20000.490.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.870.8830000.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.880.880.8940000.550.580.610.640.660.690.710.730.760.780.790.810.830.840.850.860.880.890.90.9Rs=12.31 mm/dau=2 m/sRHmax=71%U dia/noche=1.50Tabla 9: Factor de ajuste (c) en la ecuacin de Penman modificadaRH mx = 30%RH mx = 60%RH mx = 90%Rs mm/da369123691236912U da m/sU da / U noche = 4.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.790.840.920.970.9211.111.190.991.11.271.326 m/s0.680.770.870.930.850.961.111.190.941.11.261.339 m/s0.550.650.780.90.760.881.021.140.881.011.061.27U da/U noche = 3.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.760.810.880.940.870.961.061.120.941.041.181.286 m/s0.610.680.810.880.770.881.021.10.861.011.151.229 m/s0.460.560.720.820.670.790.881.050.780.921.061.18U da/U noche = 2.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.690.760.850.920.830.910.991.050.890.981.11.146 m/s0.530.610.740.840.70.90.941.020.790.921.051.129 m/s0.370.480.650.760.590.70.840.950.710.810.961.06U da/U noche = 1.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.640.710.820.890.780.860.940.990.850.921.011.056 m/s0.430.530.680.790.620.70.840.930.720.820.9519 m/s0.270.410.590.70.50.60.750.870.620.720.870.96ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]ETo=3.89 mm/diaClculo de Kc para la primera fase para el cultivo de QUINUA2 das7 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.100.000.88Kc=0.9641.001.06Kc=0.5961.000.782.001.012.000.673.000.973.000.604.000.924.000.535.000.905.000.456.000.856.000.407.000.827.000.368.000.808.000.349.000.809.000.3310.000.8010.000.324 das10 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.010.000.70Kc=0.7431.000.91Kc=0.4561.000.622.000.842.000.533.000.753.000.444.000.694.000.385.000.635.000.316.000.586.000.267.000.547.000.238.000.528.000.229.000.509.000.2110.000.5010.000.2120 dasIntervalo de Riego en la Sierra3.89 mm/diaEto (mm/da)KcPapa7 dias0.000.53Maiz7 diasKc=0.3321.000.45Haba4 dias2.000.40Kc (2dias)=0.964Cebada5 dias3.000.33Trigo5 dias4.000.28Kc (4dias)=0.743Olluco7 dias5.000.21Arveja9 dias6.000.17Kc (7dias)=0.596Hortalizas4 dias7.000.14primera faseOregano4 dias8.000.14Kc (10dias)=0.456Alfalfa8 dias9.000.13Alcachofa7 dias10.000.14Kc (20dias)=0.332Quinua7 diasKiwicha7 diasClculo de Kc para la tercera y fin de temporada (4ta fase) para cultivos anualesTERCERA FASECUARTA FASETipo de cultivo:QuinuaTipo de cultivo:QuinuaHumedad relativa de la temporada=70.7%Humedad relativa de la temporada=69.7%108Velocidad del viento =108.0 Km/da1.25 m/sVelocidad del viento =86 Km/da1.00 m/sPARA CULTIVOS DE CAMPO ANUALES67.7Coeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Algodn1.051.151.201.250.650.650.650.70Avena1.051.101.151.200.250.250.200.20Crtamo1.051.101.151.200.250.250.200.20Cebada1.051.101.151.200.250.250.200.20Frijol seco1.051.101.151.200.300.300.250.25Girasol1.051.101.151.200.400.400.350.35Granos1.051.101.151.200.300.300.250.25Leguminosas1.051.101.151.200.300.300.250.25Lentejas1.051.101.151.200.300.300.250.25Lino1.001.051.101.150.250.250.200.20Man0.951.001.051.100.550.550.600.60Maiz dulce1.051.101.151.200.951.001.051.10Maiz grano1.051.101.151.200.550.550.600.60Meln0.950.951.001.050.650.650.750.75Mijo1.001.051.101.150.300.300.250.25Remolacha1.051.101.151.200.900.951.001.00Ricino1.051.101.151.200.500.500.500.50Soya1.001.051.101.150.450.450.450.45Sorgo1.001.051.101.150.500.500.550.55Trigo1.051.101.151.200.250.250.200.20Hortalizas1.011.061.111.160.510.510.530.53PARA HORTALIZASCoeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Alcachofas0.950.951.001.050.900.900.951.00Apio1.001.051.101.150.900.951.001.05Arvejas1.051.101.151.200.951.001.051.10Berenjena0.951.001.051.100.800.850.850.90Calabaza0.900.900.951.000.700.750.750.80Cebolla seca0.950.951.051.100.750.800.800.85Cebolla verde0.950.951.001.050.951.001.001.05Col, coliflor0.951.001.051.100.800.900.900.95Espinaca0.950.951.001.050.900.950.951.00Frijol verde0.950.951.001.050.850.900.900.90Guisante1.051.101.151.200.951.051.051.10Lechuga0.950.951.001.050.900.900.901.00Papas1.051.101.151.200.700.750.750.75Pepino verde0.900.900.951.000.700.750.750.80Pimiento fresco0.951.001.051.100.800.850.850.90Rbanos0.800.800.850.900.750.800.800.85Remolacha de mesa1.001.001.051.100.900.950.951.00Tomate1.051.101.201.250.600.650.650.65Zanahorias1.001.051.101.150.700.800.800.85Granos1.051.101.151.200.300.300.250.25N de dasValor de Kc10.596Primera fase250.596Primera fase551.15Tercera fase951.15Tercera fase1151.15Tercera fase1650.25Cuarta faseIngrese da=15Kc= 0.58Ingrese da=45Kc= 0.96Ingrese da=75Kc= 1.10Ingrese da=105Kc= 1.09135Kc= 0.72

Trigo1.11.010.880.70.531.060.910.780.620.451.010.840.670.530.40.9650.750.60.440.3250.920.6850.530.380.2750.90.6250.450.310.2050.8450.580.40.260.170.820.540.360.2250.140.80.520.340.220.1350.80.5010.330.210.130.80.5010.320.210.135


Cebada


HabaCALCULO DE Kc DE CULTIVOS PARA DEMANDA DE AGUAProyecto : CONSTRUCCION "CANAL DE IRRIGACION SUYTUCCOCHA"Ubicacin : Distrito ANDAHUAYLAS, Prov. ANDAHUAYLAS Dpto. APURIMAC,FECHA : Setiembre 2005Clculo de Eto Mtodo de PenmanEste mtodo se utiliza en zonas donde se disponga de datos medidos sobre temperatura, radiacin,humedad y viento. Es el ms exacto de los que utilizan frmulas empricas para predecir lasnecesidades hdricas de los cultivos, pero exige unos clculos laboriosos. Se aplica la frmulasiguiente:ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]Donde:ETo = Evapotranspiracin de1 cultivo de referencia, expresado en mm/da.ea = Presin saturante del vapor de agua, expresada en milibares (tabla 5).ed = Presin real del vapor de agua, expresada en milibares.ed=ea x RH100Donde:(RH = Humedad relativa media, en porcentaje)f(u)=0.27 (1+ u )100Donde:(u es la velocidad del viento expresada en km/da, a 2 m de altura).Rn = Radiacin neta total, expresada en equivalente de evaporacin en mm/da.Rn = 0.75 Rs RnlRs = ( 0,25+ 0.5 n/N ) RaDonde:Rs, Ra, n y N son los mismos conceptos indicados en el mtodo de radiacin (tablas 2 y 3).Rnl = Radiacin neta de onda larga, expresada en equivalente de evaporacin en mm/da.Rnl = f (T) x f (ed) x f (n/N )(tablas 6.7 y 8)W = Factor de ponderacin (tabla 4).c = Factor de ajuste (tabla 9).DATOS DE CALCULO DE ETo:- Temperatura media del mes . . . . . . . . . . . . . . . . . . . . . .11 C- Latitud . . . . . . . . . . . . . . .13.73 N- Altitud . . . . . . . . . . . . . . . . . . .3650 m- Insolacin fuerte media durante el mes . . . . . . . . . . . . . . . . . . . . . . .12.7 horas diarias- Humedad realtiva mnima . . . . . . . . . . . . . . . . . . . . . . . . .48%- Humedad realtiva mxima . . . . . . . . . . . . . . . . . . . . . . . . .71%0.597- Velocidad del viento. . . . . . . . . . . . . . . . . . . . . . . . . . . .173 Km/da- Relacin velocidad viento da/velocidad viento noche . . . . . . . . . . . . . . . . . . . . .1.50RH=(RHmax+Rhmin)2RH=59.7%ea=13.10 mbarDato de temperatura =11 CTabla 5: Presin de saturacin del vapor (ea) en mbar, en funcin de la temperatura media del aire (T) en CTemperatura C012345678910111213141516171819ea mbar6.106.607.107.608.108.709.3010.0010.7011.5012.3013.1014.0015.0016.1017.0018.2019.4020.6022.00Temperatura C2021222324252627282930313233343536373839ea mbar23.4024.9026.4028.1029.8031.7033.6035.7037.8040.1042.4044.9047.6050.3053.2056.2059.4062.8066.3069.90ed=7.82 mbarea - ed =5.28 mbarf (u)=0.74Ra=16.50 mm/daLatitud =14 NorteTabla 3 : Radiacin extraterrestre Ra expresada en equivalente de evaporacin de agua en mm/daLatitudHemisferio SurEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembre5017.514.710.97.04.23.13.55.58.912.916.518.24817.614.911.27.54.73.54.06.09.313.216.618.24617.715.111.57.95.24.04.46.59.713.416.718.34417.815.311.98.45.74.44.96.910.213.716.718.34217.815.512.28.86.14.95.47.410.614.016.818.34017.915.712.59.26.65.35.97.911.014.216.918.33817.915.812.89.67.15.86.38.311.414.417.018.33617.916.013.210.17.56.36.88.811.714.617.018.23417.816.113.510.58.06.87.29.212.014.917.118.23217.816.213.810.98.57.37.79.612.415.117.218.13017.816.414.011.38.97.88.110.112.715.317.318.12817.716.414.311.69.38.28.610.413.015.417.217.92617.616.414.412.09.78.79.110.913.215.517.217.82417.516.514.612.310.29.19.511.213.415.617.117.72217.416.514.812.610.69.610.011.613.715.717.017.52017.316.515.013.011.010.010.412.013.915.817.017.41817.116.515.113.211.410.410.812.314.115.816.817.11616.916.415.213.511.710.811.212.614.315.816.716.81416.716.415.313.712.111.211.612.914.515.816.516.61216.616.315.414.012.511.612.013.214.715.816.416.51016.416.315.514.212.812.012.413.514.815.916.216.2816.116.115.514.413.112.412.713.714.915.816.016.0615.816.015.614.713.412.813.114.015.015.715.815.7415.515.815.614.913.813.213.414.314.115.615.515.4215.315.715.715.114.113.513.714.514.215.515.315.1015.015.515.715.314.413.914.114.815.315.415.114.8N=12.8 horas/daLatitud =14 SurTabla 2: Duracin mxima diaria media de las horas de fuerte insolacin N en diferentes meses y latitudesLatitud NorteEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembreLatitud SurJulioAgostoSeptiembreOctubreNoviembreDiciembreEneroFebreroMarzoAbrilMayoJunio508.510.111.813.815.416.315.914.512.710.89.18.1488.810.211.813.615.216.015.614.312.610.99.38.3469.110.411.913.514.915.715.414.212.610.99.58.7449.310.511.913.414.715.415.214.012.611.09.78.9429.410.611.913.414.615.214.913.912.611.19.89.1409.610.711.913.314.415.014.7137.012.511.210.09.33510.111.011.913.114.014.514.313.512.411.310.39.83010.411.112.012.913.614.013.913.212.411.510.610.22510.711.312.012.713.313.713.513.012.311.610.910.62011.011.512.012.613.113.313.212.812.311.711.210.91511.311.612.012.512.813.012.912.612.211.811.411.21011.611.812.012.312.612.712.612.412.111.811.611.5511.811.912.012.212.312.412.312.312.112.011.911.8012.112.112.112.112.112.112.112.112.112.112.112.1Rs=12.31 mm/daf (T)=12.7Dato de temperatura =11 Cf (ed)=0.22Dato de ed =7.82 mbarf (n/N)=0.96Funcin de n/N=0.99Rnl=2.68 mm/daTabla 6: Efecto de la temperatura f(T) sobre la radiacin de onda larga (Rnl)Temperatura C024681012141618202224262830323436f (T) = T k1111.411.71212.412.713.113.513.814.214.61515.415.916.316.717.217.718.1colocar en el minimo0.211Tabla 7: Efecto de la presin real del vapor de agua f(ed,) sobre la radiacin de onda larga (Rnl)ed mbar6810121416182022242628303234363840f(ed) =0.34 - 0.044 x0.230.220.20.190.180.160.150.140.130.120.120.110.10.090.080.080.070.061.0121875Tabla 8: Efecto de la relacin entre el nmero real y el mximo de horas de fuerte insolacin f(n/N), sobrela radiacin de onda larga (Rnl)n/N00.050.10.150.20.250.30.350.40.450.50.550.60.650.70.750.80.850.90.951+ 0.9 n/N0.10.150.190.240.280.230.370.420.460.510.550.60.640.690.730.780.820.870.910.961Rn= 0.75Rs-RnlRn=6.55 mm/daW=0.64Tabla 4En funcin a temperaturas y altitudesc=1.05Tabla 9Tabla 4: Valores del factor de ponderacin W para los efectos de la radiacin sobre la ETo, a diferentestemperaturas y altitudes.Temperatura246810121416182022242628303234363840C00.430.460.490.520.550.580.610.640.660.680.710.730.750.770.780.80.820.830.840.855000.450.480.510.540.570.60.620.650.670.70.720.740.760.780.790.810.820.840.850.8610000.460.490.520.550.580.610.640.660.690.710.730.750.770.790.80.820.830.850.860.87Alt=3650 m20000.490.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.870.8830000.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.880.880.8940000.550.580.610.640.660.690.710.730.760.780.790.810.830.840.850.860.880.890.90.9Rs=12.31 mm/dau=2 m/sRHmax=71%U dia/noche=1.50Tabla 9: Factor de ajuste (c) en la ecuacin de Penman modificadaRH mx = 30%RH mx = 60%RH mx = 90%Rs mm/da369123691236912U da m/sU da / U noche = 4.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.790.840.920.970.9211.111.190.991.11.271.326 m/s0.680.770.870.930.850.961.111.190.941.11.261.339 m/s0.550.650.780.90.760.881.021.140.881.011.061.27U da/U noche = 3.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.760.810.880.940.870.961.061.120.941.041.181.286 m/s0.610.680.810.880.770.881.021.10.861.011.151.229 m/s0.460.560.720.820.670.790.881.050.780.921.061.18U da/U noche = 2.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.690.760.850.920.830.910.991.050.890.981.11.146 m/s0.530.610.740.840.70.90.941.020.790.921.051.129 m/s0.370.480.650.760.590.70.840.950.710.810.961.06U da/U noche = 1.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.640.710.820.890.780.860.940.990.850.921.011.056 m/s0.430.530.680.790.620.70.840.930.720.820.9519 m/s0.270.410.590.70.50.60.750.870.620.720.870.96ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]ETo=3.89 mm/diaClculo de Kc para la primera fase para cultivos de HORTALIZAS2 das7 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.100.000.88Kc=0.9641.001.06Kc=0.5961.000.782.001.012.000.673.000.973.000.604.000.924.000.535.000.905.000.456.000.856.000.407.000.827.000.368.000.808.000.349.000.809.000.3310.000.8010.000.324 das10 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.010.000.70Kc=0.7431.000.91Kc=0.4561.000.622.000.842.000.533.000.753.000.444.000.694.000.385.000.635.000.316.000.586.000.267.000.547.000.238.000.528.000.229.000.509.000.2110.000.5010.000.2120 dasIntervalo de Riego en la Sierra3.89 mm/diaEto (mm/da)KcPapa7 dias0.000.53Maiz7 diasKc=0.3321.000.45Haba4 dias2.000.40Kc (2dias)=0.964Cebada5 dias3.000.33Trigo5 dias4.000.28Kc (4dias)=0.743Olluco7 dias5.000.21primera faseArveja9 dias6.000.17Kc (7dias)=0.596Hortalizas4 dias7.000.14Oregano4 dias8.000.14Kc (10dias)=0.456Alfalfa8 dias9.000.13Alcachofa7 dias10.000.14Kc (20dias)=0.332Quinua7 diasKiwicha7 diasClculo de Kc para la tercera y fin de temporada (4ta fase) para cultivos anualesTERCERA FASECUARTA FASETipo de cultivo:HortalizasTipo de cultivo:HortalizasHumedad relativa de la temporada=70.7%Humedad relativa de la temporada=69.7%108Velocidad del viento =108.0 Km/da1.25 m/sVelocidad del viento =86 Km/da1.00 m/sPARA CULTIVOS DE CAMPO ANUALES67.7Coeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Algodn1.051.151.201.250.650.650.650.70Avena1.051.101.151.200.250.250.200.20Crtamo1.051.101.151.200.250.250.200.20Cebada1.051.101.151.200.250.250.200.20Frijol seco1.051.101.151.200.300.300.250.25Girasol1.051.101.151.200.400.400.350.35Granos1.051.101.151.200.300.300.250.25Leguminosas1.051.101.151.200.300.300.250.25Lentejas1.051.101.151.200.300.300.250.25Lino1.001.051.101.150.250.250.200.20Man0.951.001.051.100.550.550.600.60Maiz dulce1.051.101.151.200.951.001.051.10Maiz grano1.051.101.151.200.550.550.600.60Meln0.950.951.001.050.650.650.750.75Mijo1.001.051.101.150.300.300.250.25Remolacha1.051.101.151.200.900.951.001.00Ricino1.051.101.151.200.500.500.500.50Soya1.001.051.101.150.450.450.450.45Sorgo1.001.051.101.150.500.500.550.55Trigo1.051.101.151.200.250.250.200.20Hortalizas1.011.061.111.160.510.510.530.53PARA HORTALIZASCoeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Alcachofas0.950.951.001.050.900.900.951.00Apio1.001.051.101.150.900.951.001.05Arvejas1.051.101.151.200.951.001.051.10Berenjena0.951.001.051.100.800.850.850.90Calabaza0.900.900.951.000.700.750.750.80Cebolla seca0.950.951.051.100.750.800.800.85Cebolla verde0.950.951.001.050.951.001.001.05Col, coliflor0.951.001.051.100.800.900.900.95Espinaca0.950.951.001.050.900.950.951.00Frijol verde0.950.951.001.050.850.900.900.90Guisante1.051.101.151.200.951.051.051.10Lechuga0.950.951.001.050.900.900.901.00Papas1.051.101.151.200.700.750.750.75Pepino verde0.900.900.951.000.700.750.750.80Pimiento fresco0.951.001.051.100.800.850.850.90Rbanos0.800.800.850.900.750.800.800.85Remolacha de mesa1.001.001.051.100.900.950.951.00Tomate1.051.101.201.250.600.650.650.65Zanahorias1.001.051.101.150.700.800.800.85Granos1.051.101.151.200.300.300.250.25N de dasValor de Kc10.743Primera fase145200.743Primera fase501.1Tercera fase751.1Tercera fase951.1Tercera fase1150.51Cuarta faseIngrese da=15Kc= 0.75Ingrese da=45Kc= 1.00Ingrese da=75Kc= 1.09Ingrese da=105Kc= 0.82

Haba1.11.010.880.70.531.060.910.780.620.451.010.840.670.530.40.9650.750.60.440.3250.920.6850.530.380.2750.90.6250.450.310.2050.8450.580.40.260.170.820.540.360.2250.140.80.520.340.220.1350.80.5010.330.210.130.80.5010.320.210.135


Maiz Grano


Maiz ChocloCALCULO DE Kc DE CULTIVOS PARA DEMANDA DE AGUAProyecto : CONSTRUCCION "CANAL DE IRRIGACION SUYTUCCOCHA"Ubicacin : Distrito ANDAHUAYLAS, Prov. ANDAHUAYLAS Dpto. APURIMAC,FECHA : Setiembre 2005Clculo de Eto Mtodo de PenmanEste mtodo se utiliza en zonas donde se disponga de datos medidos sobre temperatura, radiacin,humedad y viento. Es el ms exacto de los que utilizan frmulas empricas para predecir lasnecesidades hdricas de los cultivos, pero exige unos clculos laboriosos. Se aplica la frmulasiguiente:ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]Donde:ETo = Evapotranspiracin de1 cultivo de referencia, expresado en mm/da.ea = Presin saturante del vapor de agua, expresada en milibares (tabla 5).ed = Presin real del vapor de agua, expresada en milibares.ed=ea x RH100Donde:(RH = Humedad relativa media, en porcentaje)f(u)=0.27 (1+ u )100Donde:(u es la velocidad del viento expresada en km/da, a 2 m de altura).Rn = Radiacin neta total, expresada en equivalente de evaporacin en mm/da.Rn = 0.75 Rs RnlRs = ( 0,25+ 0.5 n/N ) RaDonde:Rs, Ra, n y N son los mismos conceptos indicados en el mtodo de radiacin (tablas 2 y 3).Rnl = Radiacin neta de onda larga, expresada en equivalente de evaporacin en mm/da.Rnl = f (T) x f (ed) x f (n/N )(tablas 6.7 y 8)W = Factor de ponderacin (tabla 4).c = Factor de ajuste (tabla 9).DATOS DE CALCULO DE ETo:- Temperatura media del mes . . . . . . . . . . . . . . . . . . . . . .11 C- Latitud . . . . . . . . . . . . . . .13.73 N- Altitud . . . . . . . . . . . . . . . . . . .3650 m- Insolacin fuerte media durante el mes . . . . . . . . . . . . . . . . . . . . . . .12.7 horas diarias- Humedad realtiva mnima . . . . . . . . . . . . . . . . . . . . . . . . .48%- Humedad realtiva mxima . . . . . . . . . . . . . . . . . . . . . . . . .71%0.597- Velocidad del viento. . . . . . . . . . . . . . . . . . . . . . . . . . . .173 Km/da- Relacin velocidad viento da/velocidad viento noche . . . . . . . . . . . . . . . . . . . . .1.50RH=(RHmax+Rhmin)2RH=59.7%ea=13.10 mbarDato de temperatura =11 CTabla 5: Presin de saturacin del vapor (ea) en mbar, en funcin de la temperatura media del aire (T) en CTemperatura C012345678910111213141516171819ea mbar6.106.607.107.608.108.709.3010.0010.7011.5012.3013.1014.0015.0016.1017.0018.2019.4020.6022.00Temperatura C2021222324252627282930313233343536373839ea mbar23.4024.9026.4028.1029.8031.7033.6035.7037.8040.1042.4044.9047.6050.3053.2056.2059.4062.8066.3069.90ed=7.82 mbarea - ed =5.28 mbarf (u)=0.74Ra=16.50 mm/daLatitud =14 NorteTabla 3 : Radiacin extraterrestre Ra expresada en equivalente de evaporacin de agua en mm/daLatitudHemisferio SurEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembre5017.514.710.97.04.23.13.55.58.912.916.518.24817.614.911.27.54.73.54.06.09.313.216.618.24617.715.111.57.95.24.04.46.59.713.416.718.34417.815.311.98.45.74.44.96.910.213.716.718.34217.815.512.28.86.14.95.47.410.614.016.818.34017.915.712.59.26.65.35.97.911.014.216.918.33817.915.812.89.67.15.86.38.311.414.417.018.33617.916.013.210.17.56.36.88.811.714.617.018.23417.816.113.510.58.06.87.29.212.014.917.118.23217.816.213.810.98.57.37.79.612.415.117.218.13017.816.414.011.38.97.88.110.112.715.317.318.12817.716.414.311.69.38.28.610.413.015.417.217.92617.616.414.412.09.78.79.110.913.215.517.217.82417.516.514.612.310.29.19.511.213.415.617.117.72217.416.514.812.610.69.610.011.613.715.717.017.52017.316.515.013.011.010.010.412.013.915.817.017.41817.116.515.113.211.410.410.812.314.115.816.817.11616.916.415.213.511.710.811.212.614.315.816.716.81416.716.415.313.712.111.211.612.914.515.816.516.61216.616.315.414.012.511.612.013.214.715.816.416.51016.416.315.514.212.812.012.413.514.815.916.216.2816.116.115.514.413.112.412.713.714.915.816.016.0615.816.015.614.713.412.813.114.015.015.715.815.7415.515.815.614.913.813.213.414.314.115.615.515.4215.315.715.715.114.113.513.714.514.215.515.315.1015.015.515.715.314.413.914.114.815.315.415.114.8N=12.8 horas/daLatitud =14 SurTabla 2: Duracin mxima diaria media de las horas de fuerte insolacin N en diferentes meses y latitudesLatitud NorteEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembreLatitud SurJulioAgostoSeptiembreOctubreNoviembreDiciembreEneroFebreroMarzoAbrilMayoJunio508.510.111.813.815.416.315.914.512.710.89.18.1488.810.211.813.615.216.015.614.312.610.99.38.3469.110.411.913.514.915.715.414.212.610.99.58.7449.310.511.913.414.715.415.214.012.611.09.78.9429.410.611.913.414.615.214.913.912.611.19.89.1409.610.711.913.314.415.014.7137.012.511.210.09.33510.111.011.913.114.014.514.313.512.411.310.39.83010.411.112.012.913.614.013.913.212.411.510.610.22510.711.312.012.713.313.713.513.012.311.610.910.62011.011.512.012.613.113.313.212.812.311.711.210.91511.311.612.012.512.813.012.912.612.211.811.411.21011.611.812.012.312.612.712.612.412.111.811.611.5511.811.912.012.212.312.412.312.312.112.011.911.8012.112.112.112.112.112.112.112.112.112.112.112.1Rs=12.31 mm/daf (T)=12.7Dato de temperatura =11 Cf (ed)=0.22Dato de ed =7.82 mbarf (n/N)=0.96Funcin de n/N=0.99Rnl=2.68 mm/daTabla 6: Efecto de la temperatura f(T) sobre la radiacin de onda larga (Rnl)Temperatura C024681012141618202224262830323436f (T) = T k1111.411.71212.412.713.113.513.814.214.61515.415.916.316.717.217.718.1colocar en el minimo0.211Tabla 7: Efecto de la presin real del vapor de agua f(ed,) sobre la radiacin de onda larga (Rnl)ed mbar6810121416182022242628303234363840f(ed) =0.34 - 0.044 x0.230.220.20.190.180.160.150.140.130.120.120.110.10.090.080.080.070.061.0121875Tabla 8: Efecto de la relacin entre el nmero real y el mximo de horas de fuerte insolacin f(n/N), sobrela radiacin de onda larga (Rnl)n/N00.050.10.150.20.250.30.350.40.450.50.550.60.650.70.750.80.850.90.951+ 0.9 n/N0.10.150.190.240.280.230.370.420.460.510.550.60.640.690.730.780.820.870.910.961Rn= 0.75Rs-RnlRn=6.55 mm/daW=0.64Tabla 4En funcin a temperaturas y altitudesc=1.05Tabla 9Tabla 4: Valores del factor de ponderacin W para los efectos de la radiacin sobre la ETo, a diferentestemperaturas y altitudes.Temperatura246810121416182022242628303234363840C00.430.460.490.520.550.580.610.640.660.680.710.730.750.770.780.80.820.830.840.855000.450.480.510.540.570.60.620.650.670.70.720.740.760.780.790.810.820.840.850.8610000.460.490.520.550.580.610.640.660.690.710.730.750.770.790.80.820.830.850.860.87Alt=3650 m20000.490.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.870.8830000.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.880.880.8940000.550.580.610.640.660.690.710.730.760.780.790.810.830.840.850.860.880.890.90.9Rs=12.31 mm/dau=2 m/sRHmax=71%U dia/noche=1.50Tabla 9: Factor de ajuste (c) en la ecuacin de Penman modificadaRH mx = 30%RH mx = 60%RH mx = 90%Rs mm/da369123691236912U da m/sU da / U noche = 4.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.790.840.920.970.9211.111.190.991.11.271.326 m/s0.680.770.870.930.850.961.111.190.941.11.261.339 m/s0.550.650.780.90.760.881.021.140.881.011.061.27U da/U noche = 3.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.760.810.880.940.870.961.061.120.941.041.181.286 m/s0.610.680.810.880.770.881.021.10.861.011.151.229 m/s0.460.560.720.820.670.790.881.050.780.921.061.18U da/U noche = 2.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.690.760.850.920.830.910.991.050.890.981.11.146 m/s0.530.610.740.840.70.90.941.020.790.921.051.129 m/s0.370.480.650.760.590.70.840.950.710.810.961.06U da/U noche = 1.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.640.710.820.890.780.860.940.990.850.921.011.056 m/s0.430.530.680.790.620.70.840.930.720.820.9519 m/s0.270.410.590.70.50.60.750.870.620.720.870.96ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]ETo=3.89 mm/diaClculo de Kc para la primera fase para el cultivo de ARVEJA2 das7 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.100.000.88Kc=0.9641.001.06Kc=0.5961.000.782.001.012.000.673.000.973.000.604.000.924.000.535.000.905.000.456.000.856.000.407.000.827.000.368.000.808.000.349.000.809.000.3310.000.8010.000.324 das10 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.010.000.70Kc=0.7431.000.91Kc=0.4561.000.622.000.842.000.533.000.753.000.444.000.694.000.385.000.635.000.316.000.586.000.267.000.547.000.238.000.528.000.229.000.509.000.2110.000.5010.000.2120 dasIntervalo de Riego en la Sierra3.89 mm/diaEto (mm/da)KcPapa7 dias0.000.53Maiz7 diasKc=0.3321.000.45Haba4 dias2.000.40Kc (2dias)=0.964Cebada5 dias3.000.33Trigo5 dias4.000.28Kc (4dias)=0.743Olluco7 dias5.000.21Arveja9 dias6.000.17Kc (7dias)=0.596Hortalizas4 dias7.000.14Oregano4 dias8.000.14Kc (10dias)=0.456Alfalfa8 dias9.000.13Alcachofa7 dias10.000.14Kc (20dias)=0.332Quinua7 diasKiwicha7 diasClculo de Kc para la tercera y fin de temporada (4ta fase) para cultivos anualesTERCERA FASECUARTA FASETipo de cultivo:PapaTipo de cultivo:PapaHumedad relativa de la temporada=70.7%Humedad relativa de la temporada=69.7%108Velocidad del viento =108.0 Km/da1.25 m/sVelocidad del viento =86 Km/da1.00 m/sPARA CULTIVOS DE CAMPO ANUALES67.7Coeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Algodn1.051.151.201.250.650.650.650.70Avena1.051.101.151.200.250.250.200.20Crtamo1.051.101.151.200.250.250.200.20Cebada1.051.101.151.200.250.250.200.20Frijol seco1.051.101.151.200.300.300.250.25Girasol1.051.101.151.200.400.400.350.35Granos1.051.101.151.200.300.300.250.25Leguminosas1.051.101.151.200.300.300.250.25Lentejas1.051.101.151.200.300.300.250.25Lino1.001.051.101.150.250.250.200.20Man0.951.001.051.100.550.550.600.60Maiz dulce1.051.101.151.200.951.001.051.10Maiz grano1.051.101.151.200.550.550.600.60Meln0.950.951.001.050.650.650.750.75Mijo1.001.051.101.150.300.300.250.25Remolacha1.051.101.151.200.900.951.001.00Ricino1.051.101.151.200.500.500.500.50Soya1.001.051.101.150.450.450.450.45Sorgo1.001.051.101.150.500.500.550.55Trigo1.051.101.151.200.250.250.200.20Hortalizas1.011.061.111.160.510.510.530.53PARA HORTALIZASCoeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Alcachofas0.950.951.001.050.900.900.951.00Apio1.001.051.101.150.900.951.001.05Arvejas1.051.101.151.200.951.001.051.10Berenjena0.951.001.051.100.800.850.850.90Calabaza0.900.900.951.000.700.750.750.80Cebolla seca0.950.951.051.100.750.800.800.85Cebolla verde0.950.951.001.050.951.001.001.05Col, coliflor0.951.001.051.100.800.900.900.95Espinaca0.950.951.001.050.900.950.951.00Frijol verde0.950.951.001.050.850.900.900.90Guisante1.051.101.151.200.951.051.051.10Lechuga0.950.951.001.050.900.900.901.00Papas1.051.101.151.200.700.750.750.75Pepino verde0.900.900.951.000.700.750.750.80Pimiento fresco0.951.001.051.100.800.850.850.90Rbanos0.800.800.850.900.750.800.800.85Remolacha de mesa1.001.001.051.100.900.950.951.00Tomate1.051.101.201.250.600.650.650.65Zanahorias1.001.051.101.150.700.800.800.85Granos1.051.101.151.200.300.300.250.25N de dasValor de Kc10.416Primera fase145200.416Primera fase501.05Tercera fase901.05Tercera fase1100.25Cuarta faseIngrese da=15Kc= 0.73Ingrese da=45Kc= 1.07Ingrese da=75Kc= 1.10Ingrese da=105Kc= 0.83

Maiz Choclo1.11.010.880.70.531.060.910.780.620.451.010.840.670.530.40.9650.750.60.440.3250.920.6850.530.380.2750.90.6250.450.310.2050.8450.580.40.260.170.820.540.360.2250.140.80.520.340.220.1350.80.5010.330.210.130.80.5010.320.210.135


Papa


1.11.010.880.70.531.060.910.780.620.451.010.840.670.530.40.9650.750.60.440.3250.920.6850.530.380.2750.90.6250.450.310.2050.8450.580.40.260.170.820.540.360.2250.140.80.520.340.220.1350.80.5010.330.210.130.80.5010.320.210.135


0.7430.7431.051.050.25


CALCULO DE Kc DE CULTIVOS PARA DEMANDA DE AGUAProyecto : CONSTRUCCION "CANAL DE IRRIGACION SUYTUCCOCHA"Ubicacin : Distrito ANDAHUAYLAS, Prov. ANDAHUAYLAS Dpto. APURIMAC,FECHA : Setiembre 2005Clculo de Eto Mtodo de PenmanEste mtodo se utiliza en zonas donde se disponga de datos medidos sobre temperatura, radiacin,humedad y viento. Es el ms exacto de los que utilizan frmulas empricas para predecir lasnecesidades hdricas de los cultivos, pero exige unos clculos laboriosos. Se aplica la frmulasiguiente:ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]Donde:ETo = Evapotranspiracin de1 cultivo de referencia, expresado en mm/da.ea = Presin saturante del vapor de agua, expresada en milibares (tabla 5).ed = Presin real del vapor de agua, expresada en milibares.ed=ea x RH100Donde:(RH = Humedad relativa media, en porcentaje)f(u)=0.27 (1+ u )100Donde:(u es la velocidad del viento expresada en km/da, a 2 m de altura).Rn = Radiacin neta total, expresada en equivalente de evaporacin en mm/da.Rn = 0.75 Rs RnlRs = ( 0,25+ 0.5 n/N ) RaDonde:Rs, Ra, n y N son los mismos conceptos indicados en el mtodo de radiacin (tablas 2 y 3).Rnl = Radiacin neta de onda larga, expresada en equivalente de evaporacin en mm/da.Rnl = f (T) x f (ed) x f (n/N )(tablas 6.7 y 8)W = Factor de ponderacin (tabla 4).c = Factor de ajuste (tabla 9).DATOS DE CALCULO DE ETo:- Temperatura media del mes . . . . . . . . . . . . . . . . . . . . . .11 C- Latitud . . . . . . . . . . . . . . .13.73 N- Altitud . . . . . . . . . . . . . . . . . . .3650 m- Insolacin fuerte media durante el mes . . . . . . . . . . . . . . . . . . . . . . .12.7 horas diarias- Humedad realtiva mnima . . . . . . . . . . . . . . . . . . . . . . . . .48%- Humedad realtiva mxima . . . . . . . . . . . . . . . . . . . . . . . . .71%0.597- Velocidad del viento. . . . . . . . . . . . . . . . . . . . . . . . . . . .173 Km/da- Relacin velocidad viento da/velocidad viento noche . . . . . . . . . . . . . . . . . . . . .1.50RH=(RHmax+Rhmin)2RH=59.7%ea=13.10 mbarDato de temperatura =11 CTabla 5: Presin de saturacin del vapor (ea) en mbar, en funcin de la temperatura media del aire (T) en CTemperatura C012345678910111213141516171819ea mbar6.106.607.107.608.108.709.3010.0010.7011.5012.3013.1014.0015.0016.1017.0018.2019.4020.6022.00Temperatura C2021222324252627282930313233343536373839ea mbar23.4024.9026.4028.1029.8031.7033.6035.7037.8040.1042.4044.9047.6050.3053.2056.2059.4062.8066.3069.90ed=7.82 mbarea - ed =5.28 mbarf (u)=0.74Ra=16.50 mm/daLatitud =14 NorteTabla 3 : Radiacin extraterrestre Ra expresada en equivalente de evaporacin de agua en mm/daLatitudHemisferio SurEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembre5017.514.710.97.04.23.13.55.58.912.916.518.24817.614.911.27.54.73.54.06.09.313.216.618.24617.715.111.57.95.24.04.46.59.713.416.718.34417.815.311.98.45.74.44.96.910.213.716.718.34217.815.512.28.86.14.95.47.410.614.016.818.34017.915.712.59.26.65.35.97.911.014.216.918.33817.915.812.89.67.15.86.38.311.414.417.018.33617.916.013.210.17.56.36.88.811.714.617.018.23417.816.113.510.58.06.87.29.212.014.917.118.23217.816.213.810.98.57.37.79.612.415.117.218.13017.816.414.011.38.97.88.110.112.715.317.318.12817.716.414.311.69.38.28.610.413.015.417.217.92617.616.414.412.09.78.79.110.913.215.517.217.82417.516.514.612.310.29.19.511.213.415.617.117.72217.416.514.812.610.69.610.011.613.715.717.017.52017.316.515.013.011.010.010.412.013.915.817.017.41817.116.515.113.211.410.410.812.314.115.816.817.11616.916.415.213.511.710.811.212.614.315.816.716.81416.716.415.313.712.111.211.612.914.515.816.516.61216.616.315.414.012.511.612.013.214.715.816.416.51016.416.315.514.212.812.012.413.514.815.916.216.2816.116.115.514.413.112.412.713.714.915.816.016.0615.816.015.614.713.412.813.114.015.015.715.815.7415.515.815.614.913.813.213.414.314.115.615.515.4215.315.715.715.114.113.513.714.514.215.515.315.1015.015.515.715.314.413.914.114.815.315.415.114.8N=12.8 horas/daLatitud =14 SurTabla 2: Duracin mxima diaria media de las horas de fuerte insolacin N en diferentes meses y latitudesLatitud NorteEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembreLatitud SurJulioAgostoSeptiembreOctubreNoviembreDiciembreEneroFebreroMarzoAbrilMayoJunio508.510.111.813.815.416.315.914.512.710.89.18.1488.810.211.813.615.216.015.614.312.610.99.38.3469.110.411.913.514.915.715.414.212.610.99.58.7449.310.511.913.414.715.415.214.012.611.09.78.9429.410.611.913.414.615.214.913.912.611.19.89.1409.610.711.913.314.415.014.7137.012.511.210.09.33510.111.011.913.114.014.514.313.512.411.310.39.83010.411.112.012.913.614.013.913.212.411.510.610.22510.711.312.012.713.313.713.513.012.311.610.910.62011.011.512.012.613.113.313.212.812.311.711.210.91511.311.612.012.512.813.012.912.612.211.811.411.21011.611.812.012.312.612.712.612.412.111.811.611.5511.811.912.012.212.312.412.312.312.112.011.911.8012.112.112.112.112.112.112.112.112.112.112.112.1Rs=12.31 mm/daf (T)=12.7Dato de temperatura =11 Cf (ed)=0.22Dato de ed =7.82 mbarf (n/N)=0.96Funcin de n/N=0.99Rnl=2.68 mm/daTabla 6: Efecto de la temperatura f(T) sobre la radiacin de onda larga (Rnl)Temperatura C024681012141618202224262830323436f (T) = T k1111.411.71212.412.713.113.513.814.214.61515.415.916.316.717.217.718.1colocar en el minimo0.211Tabla 7: Efecto de la presin real del vapor de agua f(ed,) sobre la radiacin de onda larga (Rnl)ed mbar6810121416182022242628303234363840f(ed) =0.34 - 0.044 x0.230.220.20.190.180.160.150.140.130.120.120.110.10.090.080.080.070.061.0121875Tabla 8: Efecto de la relacin entre el nmero real y el mximo de horas de fuerte insolacin f(n/N), sobrela radiacin de onda larga (Rnl)n/N00.050.10.150.20.250.30.350.40.450.50.550.60.650.70.750.80.850.90.951+ 0.9 n/N0.10.150.190.240.280.230.370.420.460.510.550.60.640.690.730.780.820.870.910.961Rn= 0.75Rs-RnlRn=6.55 mm/daW=0.64Tabla 4En funcin a temperaturas y altitudesc=1.05Tabla 9Tabla 4: Valores del factor de ponderacin W para los efectos de la radiacin sobre la ETo, a diferentestemperaturas y altitudes.Temperatura246810121416182022242628303234363840C00.430.460.490.520.550.580.610.640.660.680.710.730.750.770.780.80.820.830.840.855000.450.480.510.540.570.60.620.650.670.70.720.740.760.780.790.810.820.840.850.8610000.460.490.520.550.580.610.640.660.690.710.730.750.770.790.80.820.830.850.860.87Alt=3650 m20000.490.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.870.8830000.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.880.880.8940000.550.580.610.640.660.690.710.730.760.780.790.810.830.840.850.860.880.890.90.9Rs=12.31 mm/dau=2 m/sRHmax=71%U dia/noche=1.50Tabla 9: Factor de ajuste (c) en la ecuacin de Penman modificadaRH mx = 30%RH mx = 60%RH mx = 90%Rs mm/da369123691236912U da m/sU da / U noche = 4.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.790.840.920.970.9211.111.190.991.11.271.326 m/s0.680.770.870.930.850.961.111.190.941.11.261.339 m/s0.550.650.780.90.760.881.021.140.881.011.061.27U da/U noche = 3.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.760.810.880.940.870.961.061.120.941.041.181.286 m/s0.610.680.810.880.770.881.021.10.861.011.151.229 m/s0.460.560.720.820.670.790.881.050.780.921.061.18U da/U noche = 2.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.690.760.850.920.830.910.991.050.890.981.11.146 m/s0.530.610.740.840.70.90.941.020.790.921.051.129 m/s0.370.480.650.760.590.70.840.950.710.810.961.06U da/U noche = 1.00 ( sin viento)0.860.9110.960.981.051.051.021.061.11.13 m/s0.640.710.820.890.780.860.940.990.850.921.011.056 m/s0.430.530.680.790.620.70.840.930.720.820.9519 m/s0.270.410.590.70.50.60.750.870.620.720.870.96ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]ETo=3.89 mm/diaClculo de Kc para la primera fase para el cultivo del OLLUCO2 das7 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.100.000.88Kc=0.9641.001.06Kc=0.5961.000.782.001.012.000.673.000.973.000.604.000.924.000.535.000.905.000.456.000.856.000.407.000.827.000.368.000.808.000.349.000.809.000.3310.000.8010.000.324 das10 das3.89 mm/diaEto (mm/da)Kc3.89 mm/diaEto (mm/da)Kc0.001.010.000.70Kc=0.7431.000.91Kc=0.4561.000.622.000.842.000.533.000.753.000.444.000.694.000.385.000.635.000.316.000.586.000.267.000.547.000.238.000.528.000.229.000.509.000.2110.000.5010.000.2120 dasIntervalo de Riego en la Sierra3.89 mm/diaEto (mm/da)KcPapa7 dias0.000.53Maiz7 diasKc=0.3321.000.45Haba4 dias2.000.40Kc (2dias)=0.964Cebada5 dias3.000.33Trigo5 dias4.000.28Kc (4dias)=0.743Olluco7 dias5.000.21Arveja9 dias6.000.17Kc (7dias)=0.596primera faseHortalizas4 dias7.000.14Oregano4 dias8.000.14Kc (10dias)=0.456Alfalfa8 dias9.000.13Alcachofa7 dias10.000.14Kc (20dias)=0.332Quinua7 diasKiwicha7 diasClculo de Kc para la tercera y fin de temporada (4ta fase) para cultivos anualesTERCERA FASECUARTA FASETipo de cultivo:OllucoTipo de cultivo:OllucoHumedad relativa de la temporada=70.7%Humedad relativa de la temporada=69.7%108Velocidad del viento =108.0 Km/da1.25 m/sVelocidad del viento =86 Km/da1.00 m/sPARA CULTIVOS DE CAMPO ANUALES67.7Coeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Algodn1.051.151.201.250.650.650.650.70Avena1.051.101.151.200.250.250.200.20Crtamo1.051.101.151.200.250.250.200.20Cebada1.051.101.151.200.250.250.200.20Frijol seco1.051.101.151.200.300.300.250.25Girasol1.051.101.151.200.400.400.350.35Granos1.051.101.151.200.300.300.250.25Leguminosas1.051.101.151.200.300.300.250.25Lentejas1.051.101.151.200.300.300.250.25Lino1.001.051.101.150.250.250.200.20Man0.951.001.051.100.550.550.600.60Maiz dulce1.051.101.151.200.951.001.051.10Maiz grano1.051.101.151.200.550.550.600.60Meln0.950.951.001.050.650.650.750.75Mijo1.001.051.101.150.300.300.250.25Remolacha1.051.101.151.200.900.951.001.00Ricino1.051.101.151.200.500.500.500.50Soya1.001.051.101.150.450.450.450.45Sorgo1.001.051.101.150.500.500.550.55Trigo1.051.101.151.200.250.250.200.20Hortalizas1.011.061.111.160.510.510.530.53PARA HORTALIZASCoeficientes de cultivo segn la FAOCULTIVOTERCERA FASEFIN DE TEMPORADAHRminHRminHRminHRmin> 70%< 70%> 70%< 70%Velocidad del vientoVelocidad del vientom/sm/s0 - 55 - 80 - 55 - 80 - 55 - 80 - 55 - 8Alcachofas0.950.951.001.050.900.900.951.00Apio1.001.051.101.150.900.951.001.05Arvejas1.051.101.151.200.951.001.051.10Berenjena0.951.001.051.100.800.850.850.90Calabaza0.900.900.951.000.700.750.750.80Cebolla seca0.950.951.051.100.750.800.800.85Cebolla verde0.950.951.001.050.951.001.001.05Col, coliflor0.951.001.051.100.800.900.900.95Espinaca0.950.951.001.050.900.950.951.00Frijol verde0.950.951.001.050.850.900.900.90Guisante1.051.101.151.200.951.051.051.10Lechuga0.950.951.001.050.900.900.901.00Papas1.051.101.151.200.700.750.750.75Pepino verde0.900.900.951.000.700.750.750.80Pimiento fresco0.951.001.051.100.800.850.850.90Rbanos0.800.800.850.900.750.800.800.85Remolacha de mesa1.001.001.051.100.900.950.951.00Tomate1.051.101.201.250.600.650.650.65Zanahorias1.001.051.101.150.700.800.800.85Granos1.051.101.151.200.300.300.250.25N de dasValor de Kc10.596Primera fase145450.596Primera fase901.05Tercera fase1301.05Tercera fase1601.05Tercera fase2100.75Cuarta faseIngrese da=15Kc= 0.51Ingrese da=45Kc= 0.66Ingrese da=75Kc= 0.93Ingrese da=105Kc= 1.08145Kc= 0.88175Kc= 0.80205Kc= 0.75

1.11.010.880.70.531.060.910.780.620.451.010.840.670.530.40.9650.750.60.440.3250.920.6850.530.380.2750.90.6250.450.310.2050.8450.580.40.260.170.820.540.360.2250.140.80.520.340.220.1350.80.5010.330.210.130.80.5010.320.210.135



CALCULO DE Kc DE CULTIVOS PARA DEMANDA DE AGUAProyecto : CONSTRUCCION "CANAL DE IRRIGACION SUYTUCCOCHA"Ubicacin : Distrito ANDAHUAYLAS, Prov. ANDAHUAYLAS Dpto. APURIMAC,FECHA : Setiembre 2005Clculo de Eto Mtodo de PenmanEste mtodo se utiliza en zonas donde se disponga de datos medidos sobre temperatura, radiacin,humedad y viento. Es el ms exacto de los que utilizan frmulas empricas para predecir lasnecesidades hdricas de los cultivos, pero exige unos clculos laboriosos. Se aplica la frmulasiguiente:ETo = c[W x Rn + (1- W) x f(u) x (ea - ed)]Donde:ETo = Evapotranspiracin de1 cultivo de referencia, expresado en mm/da.ea = Presin saturante del vapor de agua, expresada en milibares (tabla 5).ed = Presin real del vapor de agua, expresada en milibares.ed=ea x RH100Donde:(RH = Humedad relativa media, en porcentaje)f(u)=0.27 (1+ u )100Donde:(u es la velocidad del viento expresada en km/da, a 2 m de altura).Rn = Radiacin neta total, expresada en equivalente de evaporacin en mm/da.Rn = 0.75 Rs RnlRs = ( 0,25+ 0.5 n/N ) RaDonde:Rs, Ra, n y N son los mismos conceptos indicados en el mtodo de radiacin (tablas 2 y 3).Rnl = Radiacin neta de onda larga, expresada en equivalente de evaporacin en mm/da.Rnl = f (T) x f (ed) x f (n/N )(tablas 6.7 y 8)W = Factor de ponderacin (tabla 4).c = Factor de ajuste (tabla 9).DATOS DE CALCULO DE ETo:- Temperatura media del mes . . . . . . . . . . . . . . . . . . . . . .11 C- Latitud . . . . . . . . . . . . . . .13.73 N- Altitud . . . . . . . . . . . . . . . . . . .3650 m- Insolacin fuerte media durante el mes . . . . . . . . . . . . . . . . . . . . . . .12.7 horas diarias- Humedad realtiva mnima . . . . . . . . . . . . . . . . . . . . . . . . .48%- Humedad realtiva mxima . . . . . . . . . . . . . . . . . . . . . . . . .71%0.597- Velocidad del viento. . . . . . . . . . . . . . . . . . . . . . . . . . . .173 Km/da- Relacin velocidad viento da/velocidad viento noche . . . . . . . . . . . . . . . . . . . . .1.50RH=(RHmax+Rhmin)2RH=59.7%ea=13.10 mbarDato de temperatura =11 CTabla 5: Presin de saturacin del vapor (ea) en mbar, en funcin de la temperatura media del aire (T) en CTemperatura C012345678910111213141516171819ea mbar6.106.607.107.608.108.709.3010.0010.7011.5012.3013.1014.0015.0016.1017.0018.2019.4020.6022.00Temperatura C2021222324252627282930313233343536373839ea mbar23.4024.9026.4028.1029.8031.7033.6035.7037.8040.1042.4044.9047.6050.3053.2056.2059.4062.8066.3069.90ed=7.82 mbarea - ed =5.28 mbarf (u)=0.74Ra=16.50 mm/daLatitud =14 NorteTabla 3 : Radiacin extraterrestre Ra expresada en equivalente de evaporacin de agua en mm/daLatitudHemisferio SurEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembre5017.514.710.97.04.23.13.55.58.912.916.518.24817.614.911.27.54.73.54.06.09.313.216.618.24617.715.111.57.95.24.04.46.59.713.416.718.34417.815.311.98.45.74.44.96.910.213.716.718.34217.815.512.28.86.14.95.47.410.614.016.818.34017.915.712.59.26.65.35.97.911.014.216.918.33817.915.812.89.67.15.86.38.311.414.417.018.33617.916.013.210.17.56.36.88.811.714.617.018.23417.816.113.510.58.06.87.29.212.014.917.118.23217.816.213.810.98.57.37.79.612.415.117.218.13017.816.414.011.38.97.88.110.112.715.317.318.12817.716.414.311.69.38.28.610.413.015.417.217.92617.616.414.412.09.78.79.110.913.215.517.217.82417.516.514.612.310.29.19.511.213.415.617.117.72217.416.514.812.610.69.610.011.613.715.717.017.52017.316.515.013.011.010.010.412.013.915.817.017.41817.116.515.113.211.410.410.812.314.115.816.817.11616.916.415.213.511.710.811.212.614.315.816.716.81416.716.415.313.712.111.211.612.914.515.816.516.61216.616.315.414.012.511.612.013.214.715.816.416.51016.416.315.514.212.812.012.413.514.815.916.216.2816.116.115.514.413.112.412.713.714.915.816.016.0615.816.015.614.713.412.813.114.015.015.715.815.7415.515.815.614.913.813.213.414.314.115.615.515.4215.315.715.715.114.113.513.714.514.215.515.315.1015.015.515.715.314.413.914.114.815.315.415.114.8N=12.8 horas/daLatitud =14 SurTabla 2: Duracin mxima diaria media de las horas de fuerte insolacin N en diferentes meses y latitudesLatitud NorteEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembreLatitud SurJulioAgostoSeptiembreOctubreNoviembreDiciembreEneroFebreroMarzoAbrilMayoJunio508.510.111.813.815.416.315.914.512.710.89.18.1488.810.211.813.615.216.015.614.312.610.99.38.3469.110.411.913.514.915.715.414.212.610.99.58.7449.310.511.913.414.715.415.214.012.611.09.78.9429.410.611.913.414.615.214.913.912.611.19.89.1409.610.711.913.314.415.014.7137.012.511.210.09.33510.111.011.913.114.014.514.313.512.411.310.39.83010.411.112.012.913.614.013.913.212.411.510.610.22510.711.312.012.713.313.713.513.012.311.610.910.62011.011.512.012.613.113.313.212.812.311.711.210.91511.311.612.012.512.813.012.912.612.211.811.411.21011.611.812.012.312.612.712.612.412.111.811.611.5511.811.912.012.212.312.412.312.312.112.011.911.8012.112.112.112.112.112.112.112.112.112.112.112.1Rs=12.31 mm/daf (T)=12.7Dato de temperatura =11 Cf (ed)=0.22Dato de ed =7.82 mbarf (n/N)=0.96Funcin de n/N=0.99Rnl=2.68 mm/daTabla 6: Efecto de la temperatura f(T) sobre la radiacin de onda larga (Rnl)Temperatura C024681012141618202224262830323436f (T) = T k1111.411.71212.412.713.113.513.814.214.61515.415.916.316.717.217.718.1colocar en el minimo0.211Tabla 7: Efecto de la presin real del vapor de agua f(ed,) sobre la radiacin de onda larga (Rnl)ed mbar6810121416182022242628303234363840f(ed) =0.34 - 0.044 x0.230.220.20.190.180.160.150.140.130.120.120.110.10.090.080.080.070.061.0121875Tabla 8: Efecto de la relacin entre el nmero real y el mximo de horas de fuerte insolacin f(n/N), sobrela radiacin de onda larga (Rnl)n/N00.050.10.150.20.250.30.350.40.450.50.550.60.650.70.750.80.850.90.951+ 0.9 n/N0.10.150.190.240.280.230.370.420.460.510.550.60.640.690.730.780.820.870.910.961Rn= 0.75Rs-RnlRn=6.55 mm/daW=0.64Tabla 4En funcin a temperaturas y altitudesc=1.05Tabla 9Tabla 4: Valores del factor de ponderacin W para los efectos de la radiacin sobre la ETo, a diferentestemperaturas y altitudes.Temperatura246810121416182022242628303234363840C00.430.460.490.520.550.580.610.640.660.680.710.730.750.770.780.80.820.830.840.855000.450.480.510.540.570.60.620.650.670.70.720.740.760.780.790.810.820.840.850.8610000.460.490.520.550.580.610.640.660.690.710.730.750.770.790.80.820.830.850.860.87Alt=3650 m20000.490.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.870.8830000.520.550.580.610.640.660.690.710.730.750.770.790.810.820.840.850.860.880.880.8940000.550.580.610.640.660.690.710.730.760.780.790.810.830.840.850.860.880.890.90.9Rs=12.31 mm/dau=2 m/sRHmax=71%U dia/noche=1.50Tabla 9: Factor de ajuste (c) en la ecuacin de Penman modificadaRH mx = 30%RH mx = 60%RH mx = 90%Rs mm/da369123691236912U da m/sU da / U noche = 4.00 ( sin viento)0

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