Archivos Trabajo T5 7
30
AÑO m T m 1960 130 1 160 0.04 23.0 1 160 0.04 23.0 1961 84 2 143 0.09 11.5 2 143 0.09 11.5 1962 76 3 130 0.13 7.7 3 130 0.13 7.7 1963 89 4 125 0.17 5.8 4 125 0.17 5.8 1964 112 5 120 0.22 4.6 5 120 0.22 4.6 1965 96 6 112 0.26 3.8 6 112 0.26 3.8 1966 80 7 108 0.30 3.3 7 108 0.30 3.3 1967 125 8 106 0.35 2.9 8 106 0.35 2.9 1968 143 9 102 0.39 2.6 9 102 0.39 2.6 1969 89 10 96 0.43 2.3 10 96 0.43 2.3 1970 78 11 95 0.48 2.1 11 95 0.48 2.1 1971 90 12 90 0.52 1.9 12 90 0.52 1.9 1972 102 13 89 0.57 1.8 13 89 0.57 1.8 1973 108 14 89 0.61 1.6 14 89 0.61 1.6 1974 60 15 85 0.65 1.5 15 85 0.65 1.5 1975 75 16 84 0.70 1.4 16 84 0.70 1.4 1976 120 17 83 0.74 1.4 17 83 0.74 1.4 1977 160 18 80 0.78 1.3 18 80 0.78 1.3 1978 85 19 78 0.83 1.2 19 78 0.83 1.2 1979 106 20 76 0.87 1.2 20 76 0.87 1.2 1980 83 21 75 0.91 1.1 21 75 0.91 1.1 1981 95 N= 22 60 0.96 1.0 22 60 0.96 1.0 a) Precp = 139.5 cm T = 10 años P = 186.7 cm T = 50 años b) Precip = 100.0 cm T = 2.60 años Prec = 100 cm 0.0 c) P = 0.75 T = 1.333333333 años Precp = 80.5 cm PANUAL (cm) PANUAL (cm) Probab PANUAL ordenado( cm) ΔP = 1 m P N 1 T f 1 10 100 0 20 40 60 80 100 120 140 160 180 f(x) = 29.326018931614 ln(x) + 72.0242000801326 R² = 0.98046916811916 P vs T Periodo de retorno (años) Precipitación (cm) 1 10 100 0 20 40 60 80 100 120 140 160 180 f(x) = 29.326018931614 ln(x) + 72.0242000801326 R² = 0.98046916811916 Chart Title Periodo de retorno T (años) Precipitación (cm)
description
Ejemplo de CURVAS IDF
Transcript of Archivos Trabajo T5 7
Problema 2AOPANUAL (cm)mPANUAL (cm)ProbabTmPANUAL
ordenado(cm)196013011600.0423.011600.0423.019618421430.0911.521430.0911.519627631300.137.731300.137.719638941250.175.841250.175.8196411251200.224.651200.224.619659661120.263.861120.263.819668071080.303.371080.303.3196712581060.352.981060.352.9196814391020.392.691020.392.619698910960.432.310960.432.319707811950.482.111950.482.119719012900.521.912900.521.9197210213890.571.813890.571.8197310814890.611.614890.611.619746015850.651.515850.651.519757516840.701.416840.701.4197612017830.741.417830.741.4197716018800.781.318800.781.319788519780.831.219780.831.2197910620760.871.220760.871.219808321750.911.121750.911.1198195N=22600.961.022600.961.0a)Precp
=139.5cmT =10aosP =186.7cmT =50aosb)Precip =100.0cmT =2.60aosPrec
=100cmP =0.0c)P =0.75T =1.3333333333aosPrecp =80.5cm
Problema 2
Periodo de retorno (aos)
Precipitacin (cm)
P vs T
Problema 3
Prec vs T
Periodo de retorno T (aos)
Precipitacin (cm)
Problema 4Hora (A)Intervalo de tiempo (min) (B)Tiempo
Acumulado (min) (C )Lluvia Parcial (mm) (D)Lluvia acumulada (mm) (E
)Intensidad (mm/h)
(F)4000006120120331.58120240582.5101203604122121204801130.513605406196146060042341560660427416607206336176078043741860840643622240108010532.52412012004572256012602592a)b)c)i
max =6mm/ht = 60 mini max =6mm/ht = 30 mini max =6mm/ht = 10
minPara t = 90 min
Problema 4
Pacum vs tiempo
Tiempo (min)
Precipitacin acum (mm)
Curva masa de Precipitacin
Problema 5
Tiempo (min)
Intensidad (mm/h)
Hietograma
Problema 6Alturas de Precipitacin (mm) para diferentes
duraciones (min)Tiempo (min)Precipitacin acumulada
(mm)30609012015018021024027000.0306.06.06018.012.018.09021.03.015.021.012036.015.018.030.036.015043.07.022.025.037.043.018049.06.013.028.031.043.049.021052.03.09.016.031.034.046.052.024053.01.04.010.017.032.035.047.053.027054.01.02.05.011.018.033.036.048.054.0Pmax152230374349525354Determinando
intensidadesIntensidades (mm/h) para diferentes duraciones
(min)Tiempo (min)Precipitacin acumulada
(mm)30609012015018021024027000.0306.012.06018.024.018.09021.06.015.014.012036.030.018.020.018.015043.014.022.016.718.517.218049.012.013.018.715.517.216.321052.06.09.010.715.513.615.314.924053.02.04.06.78.512.811.713.413.327054.02.02.03.35.57.211.010.312.012.0imax30.0022.0020.0018.5017.2016.3314.8613.2512.00a)
Hietograma para 30 min. Graficamos columna B vs Columna C de la
tabla anteriorb) y c) Para las curvas i vs d y P vs d, graficamos
las filas 28 vs 17 y 13 vs 2 respectivamente
Problema 6
Hietograma para 30 min
duracin t (min)
intensidad (mm/h)
Problema 7_Grunsky
i vs d
P vs d
Duracin (min)
intensidad mxima (mm/h)
Precipitacin (mm)
Hoja1i ) Determinando intensidadesAoDuracin (min)AoDuracin
(min)15301530Precipitacin (mm)intensidad
(mm/h)200310.417.5200341.63520049.113.7200436.427.420059.614.9200538.429.820069.113.1200636.426.220078.413.2200733.626.4200811.818.7200847.237.420097.47.65200929.615.3ii
) Ordenando las series de forma decreciente y asignando un periodo
de retorno con la funcin WeibullmDuracin (min)T (aos)1530intensidad
(mm/h)147.237.48.00241.6354.00338.429.82.67436.427.42.00536.426.41.60633.626.21.33729.615.31.14iii)
Encontrando relacin de ajuste para los datos de i vs T,iv)
Determinando intensidades para distintos periodos de retorno con
las funciones establecidas en la apartado iii)Ti (mm/h)(aos)15
min30
min236.2426.64543.6335.221049.2141.712054.8048.195062.1856.7710067.7763.26
Hoja1
i15 vs T
i30 vs T
Periodo de Retorno (aos)
intenisdad (mm/h)
Duracion 15
Duracion 30
AoDuracin
(min)5101530609012020033.807.4010.4017.5020.9023.2025.2020044.808.109.1013.7022.7027.1030.0020054.306.909.6014.9021.4027.5029.9520063.806.809.1013.1016.8018.7519.5020073.605.908.4013.2017.8020.6021.7020085.808.8011.8018.7023.8523.8523.8520094.106.907.407.658.7510.5011.95iii)
Determinando intensidades (mm/h)AoDuracin
(min)51015306090120200345.6044.4041.6035.0020.9015.4712.60200457.6048.6036.4027.4022.7018.0715.00200551.6041.4038.4029.8021.4018.3314.98200645.6040.8036.4026.2016.8012.509.75200743.2035.4033.6026.4017.8013.7310.85200869.6052.8047.2037.4023.8515.9011.93200949.2041.4029.6015.308.757.005.98iv)
Ordenando de forma decreciente y asignado funcin weibullmDuracin
(min)T
(aos)51015306090120169.6052.8047.2037.4023.8518.3315.008.0257.6048.6041.6035.0022.7018.0714.984.0351.6044.4038.4029.8021.4015.9012.602.7449.2041.4036.4027.4020.9015.4711.932.0545.6041.4036.4026.4017.8013.7310.851.6645.6040.8033.6026.2016.8012.509.751.3743.2035.4029.6015.308.757.005.981.1v
y vi) Estimando valores intensidad para distintos periodos de
retorno con funcion de ajusteT (aos)Duracin
(min)51015306090120249.5342.1836.2426.6417.8713.6210.90561.7149.5943.6335.2223.4118.0014.621070.9155.1949.2141.7127.6021.3217.431576.3058.4652.4845.5030.0523.2619.082080.1260.7954.8048.2031.7924.6320.255092.3068.1962.1856.7737.3329.0123.97100101.5073.7967.7763.2641.5232.3326.78vii)
Estimando coeficientes de la ecuacin de IDF. Determinando
coeficiente cC =1010.T (aos)Duracin
(min)1520254070100130249.5342.1836.2426.6417.8713.6210.90561.7149.5943.6335.2223.4118.0014.621070.9155.1949.2141.7127.6021.3217.431576.3058.4652.4845.5030.0523.2619.082080.1260.7954.8048.2031.7924.6320.255092.3068.1962.1856.7737.3329.0123.97100101.5073.7967.7763.2641.5232.3326.78Determinando
coeficiente k,n y m aplicando regresin linealx2(LOG(D+C))x1(log
T)yx1yx2yx1x2x1x2Duracin1.180.301.6950.5101.9930.0911.3830.3545
min1.180.701.7901.2512.1060.4891.3830.8221.181.001.8511.8512.1771.0001.3831.1761.181.181.8832.2142.2141.3831.3831.3831.181.301.9042.4772.2391.6931.3831.5301.181.701.9653.3392.3112.8861.3831.9981.182.002.0064.0132.3604.0001.3832.3521.300.301.6250.4892.1140.0911.6930.39210
min1.300.701.6951.1852.2060.4891.6930.9091.301.001.7421.7422.2661.0001.6931.3011.301.181.7672.0782.2991.3831.6931.5301.301.301.7842.3212.3211.6931.6931.6931.301.701.8343.1152.3862.8861.6932.2101.302.001.8683.7362.4304.0001.6932.6021.400.301.5590.4692.1800.0911.9540.42115
min1.400.701.6401.1462.2920.4891.9540.9771.401.001.6921.6922.3651.0001.9541.3981.401.181.7202.0232.4041.3831.9541.6441.401.301.7392.2622.4311.6931.9541.8191.401.701.7943.0472.5072.8861.9542.3751.402.001.8313.6622.5604.0001.9542.7961.600.301.4260.4292.2840.0912.5670.48230
min1.600.701.5471.0812.4780.4892.5671.1201.601.001.6201.6202.5961.0002.5671.6021.601.181.6581.9502.6561.3832.5671.8841.601.301.6832.1902.6961.6932.5672.0841.601.701.7542.9802.8102.8862.5672.7221.602.001.8013.6022.8864.0002.5673.2041.850.301.2520.3772.3100.0913.4040.55560
min1.850.701.3690.9572.5270.4893.4041.2901.851.001.4411.4412.6591.0003.4041.8451.851.181.4781.7382.7271.3833.4042.1701.851.301.5021.9542.7721.6933.4042.4011.851.701.5722.6712.9012.8863.4043.1351.852.001.6183.2362.9864.0003.4043.6902.000.301.1340.3412.2690.0914.0000.60290
min2.000.701.2550.8772.5110.4894.0001.3982.001.001.3291.3292.6581.0004.0002.0002.001.181.3671.6072.7331.3834.0002.3522.001.301.3921.8102.7831.6934.0002.6022.001.701.4632.4852.9252.8864.0003.3982.002.001.5103.0193.0194.0004.0004.0002.110.301.0370.3122.1930.0914.4690.636120
min2.110.701.1650.8142.4630.4894.4691.4782.111.001.2411.2412.6241.0004.4692.1142.111.181.2811.5062.7071.3834.4692.4862.111.301.3061.7002.7621.6934.4692.7502.111.701.3802.3442.9162.8864.4693.5922.112.001.4282.8563.0184.0004.4694.228N80.05357.23377.39193.093123.02780.791136.28993.50349FORMANDO
SISTEMA DE ECUACIONES:RESOLVIENDO TENEMOS:MATRIZaoa1a2indepao
=2.3664957.23380.05377.391a1 =0.19457.23380.79193.50393.093a2
=-0.62080.05393.503136.289123.027Por tanto:INVERSA MATRIZFINALMENTE
OBTENEMOS LA ECUACION0.603-0.084-0.297m =0.194-0.0840.072-0.000n
=0.620-0.297-0.0000.182k
=232.011i0TdTDINTENSIDAD27.724498401100120
Duracin (min)
duracion de 5
t (min)
i (mm/h)
CURVAS IDF
i) Determinando intensidadesAoMesPmax en 24 horas (mm)imax
diario
(mm/h)2005Nov54.62.282006Ene48.02.002007Oct51.62.152008Ene46.71.952009Feb32.21.342010Feb63.22.632011Feb68.52.852012Nov45.71.902013Dic33.81.412014Ene33.01.38ii)
Ordenando de forma decreciente y asignando un periodo de retorno
con funcin Weibullmimax (mm/h)T
(aos)12.8511.0022.635.5032.283.6742.152.7552.002.2061.951.8371.901.5781.411.3891.381.22101.341.10iii)
Encontrando relacin de ajuste para los datos de i vs T,iv)
Determinando intensidades para distintos periodos de retorno con
las funcin establecida en la apartado iii)v) Estableciendo
intensidades para diferentes duraciones mediante la frmula de
GrunskyTi24Intensidades mximas (mm/h) para diferentes duraciones
(min) utilizando la frmula de
Grunsky(aos)(mm/h)510152030609012018036021.8631.5122.2818.1915.7612.869.107.436.435.253.7152.4842.0729.7524.2921.0317.1712.149.928.597.014.96102.9550.0635.3928.9025.0320.4414.4511.8010.228.345.90153.2254.7338.7031.6027.3622.3415.8012.9011.179.126.45203.4258.0441.0433.5129.0223.7016.7613.6811.859.676.84504.0468.6048.5139.6134.3028.0119.8016.1714.0011.438.081004.5176.5954.1644.2238.2931.2722.1118.0515.6312.769.03vi)
Aplicando regresin lineal multiple para encontrar ecuacin
IDFx1x2yt0.3010.6991.4985 minao =1.8090.6990.6991.624a1
=0.2231.0000.6991.699a2 =-0.5001.1760.6991.7381.3010.6991.764Por
tanto:1.6990.6991.8362.0000.6991.884m =0.2230.3011.0001.34810 minn
=0.5000.6991.0001.473k
=64.4471.0001.0001.5491.1761.0001.5881.3011.0001.6131.6991.0001.6862.0001.0001.7340.3011.1761.26015
min0.6991.1761.385vii) Generando curva IDF con la ecuacin
obtenida1.0001.1761.4611.1761.1761.500Ti24Intensidades mximas
(mm/h) para diferentes duraciones (min) utilizando la frmula de
Grunsky1.3011.1761.525(aos)(mm/h)51015203060901201803601.6991.1761.59821.8633.6423.7919.4216.8213.739.717.936.875.613.962.0001.1761.64652.4841.2729.1823.8220.6316.8511.919.738.426.884.860.3011.3011.19720
min102.9548.1634.0627.8124.0819.6613.9011.359.838.035.680.6991.3011.323153.2252.7237.2830.4426.3621.5215.2212.4310.768.796.211.0001.3011.398203.4256.2139.7532.4628.1122.9516.2313.2511.479.376.621.1761.3011.437504.0468.9648.7639.8134.4828.1519.9116.2514.0811.498.131.3011.3011.4631004.5180.4956.9146.4740.2432.8623.2318.9716.4313.419.491.6991.3011.5352.0001.3011.5830.3011.4771.10930
min0.6991.4771.2351.0001.4771.3101.1761.4771.3491.3011.4771.3751.6991.4771.4472.0001.4771.4950.3011.7780.95960
min0.6991.7781.0841.0001.7781.1601.1761.7781.1991.3011.7781.2241.6991.7781.2972.0001.7781.3450.3011.9540.87190
min0.6991.9540.9961.0001.9541.0721.1761.9541.1111.3011.9541.1361.6991.9541.2092.0001.9541.2570.3012.0790.808120
min0.6992.0790.9341.0002.0791.0091.1762.0791.0481.3012.0791.0741.6992.0791.1462.0002.0791.1940.3012.2550.720180
min0.6992.2550.8461.0002.2550.9211.1762.2550.9601.3012.2550.9861.6992.2551.0582.0002.2551.1060.3012.5560.570360
min0.6992.5560.6951.0002.5560.7711.1762.5560.8101.3012.5560.8351.6992.5560.9082.0002.5560.955
i15 vs T
Periodo de Retorno (aos)
intenisdad (mm/h)
T = 2 aos
T = 5 aos
T = 10 aos
T = 15 aos
T = 20 aos
T = 50 aos
T = 100 aos
Duracin (min)
Intensidad (mm/h)
Hora (A)Intervalo de tiempo (min) (B)Tiempo Acumulado (min) (C
)Lluvia acumulada (mm) (E )Intervalo de tiempo (min) (B)Lluvia
acumulada (mm) (E )30
min6090120240300360600900120012604000300.750.7561201203601.50.751.5081202408902.250.751.502.25101203601212030.751.502.25312120480131504.251.252.002.753.51360540191805.51.252.503.2541460600232106.751.252.503.754.515606602724081.252.503.755816607203327091.002.253.504.758.25176078037300101.002.003.254.58.510186084043330111.002.003.004.258.7510.2522240108053360121.002.003.004910.5122412012005739012.250.251.252.253.2581011.5256012605942012.50.250.501.502.579.51145012.750.250.500.751.7568.510.5480130.250.500.75157.510510163.003.253.503.7579.2511.75540193.006.006.256.591113.5570212.005.008.008.25101214.25600232.004.007.001011131523630252.004.006.00912.75141624.25660272.004.006.00814.5151725.5690303.005.007.00917.2517.751927.75720333.006.008.00102020.52130750352.005.008.00101922.2522.7530.75780372.004.007.0010182424.531.5810403.005.007.0010192427.2533.25840433.006.008.00102024303587044.251.254.257.259.2519.2523.2528.2535.2590045.51.252.505.508.518.522.526.535.545.593046.751.252.503.756.7516.7521.7525.7535.7546960481.252.503.7551521253646.599049.251.252.503.75514.2519.2524.253747102050.51.252.503.75513.517.523.53847.5105051.751.252.503.75511.7516.7521.753947.51080531.252.503.7551016204047.51110541.002.253.504.759.7514193847.251140551.002.003.254.59.5121836471170561.002.003.004.259.2511.751635471200571.002.003.004911.5143447571230581.002.003.0048.7511.2513.75334757.251260591.002.003.0048.51113.5324757.559P
(mm)368102024304047.557.559t
(min)30609012024030036060090012001260imax
(mm/h)6.06.05.35.05.04.85.04.03.1672.92.8
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01201201277.3914957.23380.05393.09357.23380.79193.503123.02780.05393.503136.289aaaaaaaaa
(
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MBD0059BDC3.unknown
MBD00663A98.unknown
MBD00801C99.unknown
MBD00972F81.unknown
MBD00801785.unknown
MBD005D167A.unknown
MBD00047FFF.unknown
MBD0057A28B.unknown
MBD0056F550.unknown
MBD000375CE.unknown
MBD00047FFE.unknown