hidrologia.cl.5
DESCRIPTION
hidrologiaTRANSCRIPT
Diapositiva 1
HIDROLOGIAGENERAL
Ing. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela.1Grupo I DISTRIBUCION DE VARIABLES ALEATORIAS I. GENERALIDADES:
Funcin de distribucin de una V.A.C f(x) DistribucinIng. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela.Grupo I Estacin Querococha II.CLC. ESTAD. CAUDAL MEDIO ANUAL
AOSETOCTNOVDICENEFEBMARABRMAYJUNJULAGO1953-540.40.821.781.663.482.653.361.751.230.460.280.311954-550.510.760.951.53.034.755.042.761.160.520.350.291955-560.450.761.021.92.033.132.962.250.920.460.360.371956-570.531.050.911.121.22.42.622.151.230.680.530.511957-580.671.261.631.211.672.173.111.721.060.650.450.591958-590.711.040.961.161.613.143.932.341.360.650.470.551959-600.521.281.353.542.943.991.92.391.570.660.460.481960-610.530.951.241.413.272.613.792.871.250.80.510.41961-620.50.652.012.864.133.994.722.471.060.540.340.371962-630.460.640.961.23.083.754.383.321.020.620.360.41963-640.61.22.243.232.773.673.32.711.50.710.580.51964-650.581.161.731.551.961.944.752.291.010.470.460.451965-660.891.71.782.693.243.192.211.871.60.760.620.621966-670.771.611.772.072.516.243.921.981.20.620.510.471967-680.571.711.551.671.882.343.191.350.690.460.320.411968-690.61.361.561.231.722.032.122.431.040.70.380.481969-700.550.951.723.434.253.3932.612.311.260.780.621970-710.941.422.153.122.693.954.782.461.090.620.480.521971-720.561.150.941.792.532.615.723.221.390.740.450.461972-730.490.770.941.62.363.533.643.641.240.780.530.541973-740.631.892.643.354.325.394.93.431.040.780.440.391974-750.660.670.981.072.362.985.112.482.1510.580.611975-760.791.321.41.862.935.323.452.170.950.680.430.381976-770.440.710.91.331.942.732.892.021.250.680.570.571977-780.731.042.552.291.844.123.611.91.380.820.50.451978-791.041.081.462.221.953.835.673.831.490.750.620.721979-800.860.971.081.561.932.241.941.831.010.660.40.581980-810.791.381.942.782.55.654.142.321.130.630.520.491981-820.511.413.523.653.515.143.262.591.230.720.440.39 AoMedia Anual(m3/seg)11953-19541.5121954-19551.8131955-19561.3941956-19571.2451957-19581.3561958-19591.5071959-19601.7681960-19611.6491961-19621.97101962-19631.68111963-19641.92121964-19651.53131965-19661.76141966-19671.97151967-19681.34161968-19691.30171969-19702.09181970-19712.02191971-19721.80201972-19731.67211973-19742.43221974-19751.71231975-19761.80241976-19771.39251977-19781.78261978-19792.06271979-19801.43281980-19811.97291981-19822.01Ing. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela.Grupo I 3.2.Clc. Del # intervalos de clase III. DISTRIBUCIN DE FRECUENCIAS
AoMedia Anual(m3/seg)11953-19541.5121954-19551.8131955-19561.3941956-19571.2451957-19581.3561958-19591.5071959-19601.7681960-19611.6491961-19621.97101962-19631.68111963-19641.92121964-19651.53131965-19661.76141966-19671.97151967-19681.34161968-19691.30171969-19702.09181970-19712.02191971-19721.80201972-19731.67211973-19742.43221974-19751.71231975-19761.80241976-19771.39251977-19781.78261978-19792.06271979-19801.43281980-19811.97291981-19822.01
Lmite inferior =1.24 Lmite superior=2.43R=1.19 3.1.Clc. Rango de variacinm = 1 + 3.3 log(n)Donde: n=29
m = 5.4785oo m = 6Ing. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela.Grupo I 3.4. Cuadro de distribucin de frecuencias III. DISTRIBUCIN DE FRECUENCIAS
C=0.24 3.3. Tamao de intervalos de claseDonde: R=1.19m = 6
[Yi-1' - Yi'>1.12-1.361.36-1.601.60-1.841.84-2.072.07-2.312.31-2.55 AoMedia Anual(m3/seg)11953-19541.511.2421954-19551.811.331955-19561.391.3441956-19571.241.3551957-19581.351.3961958-19591.501.3971959-19601.761.4381960-19611.641.591961-19621.971.51101962-19631.681.53111963-19641.921.64121964-19651.531.67131965-19661.761.68141966-19671.971.71151967-19681.341.76161968-19691.301.76171969-19702.091.78181970-19712.021.8191971-19721.801.8201972-19731.671.81211973-19742.431.92221974-19751.711.97231975-19761.801.97241976-19771.391.97251977-19781.782.01261978-19792.062.02271979-19801.432.06281980-19811.972.09291981-19822.012.431.24 0.12==1.12+0.24Ing. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela.Grupo I 3.4. Cuadro de distribucin de frecuencias III. DISTRIBUCIN DE FRECUENCIAS
|
AoMedia Anual(m3/seg)11953-19541.511.2421954-19551.811.331955-19561.391.3441956-19571.241.3551957-19581.351.3961958-19591.501.3971959-19601.761.4381960-19611.641.591961-19621.971.51101962-19631.681.53111963-19641.921.64121964-19651.531.67131965-19661.761.68141966-19671.971.71151967-19681.341.76161968-19691.301.76171969-19702.091.78181970-19712.021.8191971-19721.801.8201972-19731.671.81211973-19742.431.92221974-19751.711.97231975-19761.801.97241976-19771.391.97251977-19781.782.01261978-19792.062.02271979-19801.432.06281980-19811.972.09291981-19822.012.43 [Yi-1' - Yi'>YXYi ni Ni hi Hi hi% Hi% 1.12-1.360.001.001.24440.140.1413.7913.791.36-1.604.001.241.486100.210.3420.6934.481.60-1.846.001.481.7210200.340.6934.4868.971.84-2.0710.001.721.957270.240.9324.1493.102.07-2.317.001.952.191280.030.973.4596.552.31-2.551.002.192.431290.031.003.45100.001.002.43291.001001ero1.12-0.24/2==1.24+0.24Acumulado= 4/29Acumulado= (4/29)*100AcumuladoIng. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela.Grupo I 3.4. Cuadro de distribucin de frecuencias II. DISTRIBUCIN DE FRECUENCIAS
[Yi-1' - Yi'>YXYi ni Ni hi Hi hi% Hi% 1.12-1.360.001.001.24440.140.1413.7913.791.36-1.604.001.241.486100.210.3420.6934.481.60-1.846.001.481.7210200.340.6934.4868.971.84-2.0710.001.721.957270.240.9324.1493.102.07-2.317.001.952.191280.030.973.4596.552.31-2.551.002.192.431290.031.003.45100.001.002.43291.0010001.1241.36101.60201.84272.07282.31292.55Ing. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela.Grupo I Cuadro de Clculos IV. MEDIDAS DESCRIPTIVAS
29=1.6+(0.24*(15-10))/10=V(x)^0.52929=49.29^0.5 *100/1.716=29^0.5 *0.02/(28*27*26*0.291^4Ing. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela.Grupo I [Yi-1' - Yi>Yi ni Ni hi Hi Func. DensidadFuncinAcumuladafi = ni/(N x C)C x fiC*fi acumulada 1.12-1.361.24440.140.140.5800.1380.1031.36-1.601.486100.210.340.8690.2070.2761.60-1.841.7210200.340.691.4490.3450.5521.84-2.071.957270.240.931.0140.2410.6902.07-2.312.191280.030.970.1450.0340.9312.31-2.552.431290.031.000.1450.0341.000291.00 IV. MEDIDAS DESCRIPTIVAS
(1.12+1.36)/2== 4/29
Ing. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela. V. ANALISIS DE LAS 3 ESTACIONES
RioCaudal Medio (M3/S)VarianzaQuillcay7.401.10Querococha1.700.08Santa143.40716.03El Caudal Medio entre los aos 1953 a 1982 en los siguientes ros es
Ing. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela. V. DISTRIBUCION NORMAL
5.1.DISTRIBUCION NORMAL
Xif(Xi)1.240.3665711.481.0165721.721.3722281.950.9308202.190.3067602.430.049208
Ing. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela. V. DISTRIBUCION NORMAL
5.2.DISTRIBUCION LOGARITMICO NORMAL
Xiln(x)F(Xi)1.240.21511140.00000021.480.39204210.59130301.720.54232431.42968321.950.66782940.95649392.190.78390150.53914092.430.88789130.3141358PROMEDIO0.5815167Ing. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela. V. DISTRIBUCION NORMAL
5.3.MODELO PROBABILISTICO GAMA
Xif(Xi)1.24 0.9162 1.48 0.9341 1.72 0.9476 1.95 0.9577 2.19 0.9659 2.43 0.9724
Alfa:0.2262Beta:1.5695Ing. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela. VI. PRUEBA DE BONDAD.
6.1. PRUEBA DE BONDAD DE AJUSTE CHI CUADRADA
Donde:(fo) :frecuencias observadas (fc) :frecuencias calculadasIng. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela.Grupo I GRACIAS!!!!
Ing. JARA REMIGIO, Flor Angela.
NTratamiento Estadstico de datos Hidrolgicos II TRATAMIENTOS ESTADISTCOSIng. JARA REMIGIO, Flor Angela.