Discretización Criterio Grobe o de Dyck y Peschke
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Transcript of Discretización Criterio Grobe o de Dyck y Peschke
Resultados
Calcular la ecuación de Imáx a partir de datos máx diarios utilizando el criterio de Grobe, conocido como de Dyck y Peschke
Serie de datos X:
---------------------------------------- N° X---------------------------------------- 1 125.0 2 140.0 3 153.0 4 110.0 5 80.0 6 71.0 7 167.0 8 129.0 9 77.0 10 95.0 11 85.0 12 58.0 13 65.0 14 70.0 15 140.0 16 98.0 17 90.0 18 136.0 19 102.0 20 150.0 21 145.0 22 106.0 23 73.0 24 90.0 25 98.0 26 135.0 27 73.0 28 91.0 29 140.0 30 110.0 31 126.0 32 121.0 33 144.0 34 147.0 35 93.0 36 122.0 37 65.0 38 112.0 39 85.0 40 119.0 41 179.0 42 118.0 43 84.0 44 89.0 45 102.0
46 122.0 47 122.0 48 121.0 49 105.0----------------------------------------
Lluvia máxima para diferentes duraciones:
Duración-------------------------------------------------------------------------------------------------------------------------------------------- P24h 20 min 30 min 60 min 120 min 180 min 240 min -------------------------------------------------------------------------------------------------------------------------------------------- 125 42.91 47.49 56.48 67.16 74.33 79.87 140 48.06 53.19 63.25 75.22 83.24 89.45 153 52.52 58.13 69.13 82.20 90.97 97.76 110 37.76 41.79 49.70 59.10 65.41 70.28 80 27.46 30.39 36.14 42.98 47.57 51.12 71 24.37 26.97 32.08 38.15 42.22 45.36 167 57.33 63.45 75.45 89.73 99.30 106.70 129 44.28 49.01 58.28 69.31 76.70 82.42 77 26.43 29.25 34.79 41.37 45.78 49.20 95 32.61 36.09 42.92 51.04 56.49 60.70 85 29.18 32.29 38.40 45.67 50.54 54.31 58 19.91 22.04 26.20 31.16 34.49 37.06 65 22.31 24.69 29.37 34.92 38.65 41.53 70 24.03 26.59 31.63 37.61 41.62 44.73 140 48.06 53.19 63.25 75.22 83.24 89.45 98 33.64 37.23 44.28 52.65 58.27 62.62 90 30.90 34.19 40.66 48.36 53.51 57.50 136 46.69 51.67 61.44 73.07 80.87 86.90 102 35.02 38.75 46.08 54.80 60.65 65.17 150 51.49 56.99 67.77 80.59 89.19 95.84 145 49.78 55.09 65.51 77.91 86.22 92.65 106 36.39 40.27 47.89 56.95 63.03 67.73 73 25.06 27.73 32.98 39.22 43.41 46.64 90 30.90 34.19 40.66 48.36 53.51 57.50 98 33.64 37.23 44.28 52.65 58.27 62.62 135 46.34 51.29 60.99 72.53 80.27 86.26 73 25.06 27.73 32.98 39.22 43.41 46.64 91 31.24 34.57 41.11 48.89 54.11 58.14 140 48.06 53.19 63.25 75.22 83.24 89.45 110 37.76 41.79 49.70 59.10 65.41 70.28 126 43.26 47.87 56.93 67.70 74.92 80.51 121 41.54 45.97 54.67 65.01 71.95 77.31 144 49.43 54.71 65.06 77.37 85.62 92.01 147 50.46 55.85 66.41 78.98 87.41 93.92 93 31.93 35.33 42.02 49.97 55.30 59.42 122 41.88 46.35 55.12 65.55 72.54 77.95 65 22.31 24.69 29.37 34.92 38.65 41.53 112 38.45 42.55 50.60 60.18 66.60 71.56 85 29.18 32.29 38.40 45.67 50.54 54.31 119 40.85 45.21 53.76 63.94 70.76 76.03 179 61.45 68.01 80.87 96.17 106.43 114.37 118 40.51 44.83 53.31 63.40 70.16 75.40
84 28.84 31.91 37.95 45.13 49.95 53.67 89 30.55 33.81 40.21 47.82 52.92 56.87 102 35.02 38.75 46.08 54.80 60.65 65.17 122 41.88 46.35 55.12 65.55 72.54 77.95 122 41.88 46.35 55.12 65.55 72.54 77.95 121 41.54 45.97 54.67 65.01 71.95 77.31 105 36.05 39.89 47.44 56.41 62.43 67.09 --------------------------------------------------------------------------------------------------------------------------------------------
Intensidades máximas para diferentes duraciones:
Duración-------------------------------------------------------------------------------------------------------------------------------------------- Año 20 min 30 min 60 min 120 min 180 min 240 min -------------------------------------------------------------------------------------------------------------------------------------------- 1 128.74 94.98 56.48 33.58 24.78 19.97 2 144.18 106.38 63.25 37.61 27.75 22.36 3 157.57 116.25 69.13 41.10 30.32 24.44 4 113.29 83.58 49.70 29.55 21.80 17.57 5 82.39 60.79 36.14 21.49 15.86 12.78 6 73.12 53.95 32.08 19.07 14.07 11.34 7 171.99 126.89 75.45 44.86 33.10 26.68 8 132.85 98.02 58.28 34.65 25.57 20.61 9 79.30 58.51 34.79 20.69 15.26 12.30 10 97.84 72.18 42.92 25.52 18.83 15.17 11 87.54 64.59 38.40 22.83 16.85 13.58 12 59.73 44.07 26.20 15.58 11.50 9.26 13 66.94 49.39 29.37 17.46 12.88 10.38 14 72.09 53.19 31.63 18.80 13.87 11.18 15 144.18 106.38 63.25 37.61 27.75 22.36 16 100.93 74.46 44.28 26.33 19.42 15.65 17 92.69 68.39 40.66 24.18 17.84 14.38 18 140.06 103.34 61.44 36.54 26.96 21.72 19 105.05 77.50 46.08 27.40 20.22 16.29 20 154.48 113.98 67.77 40.30 29.73 23.96 21 149.33 110.18 65.51 38.95 28.74 23.16 22 109.17 80.54 47.89 28.48 21.01 16.93 23 75.18 55.47 32.98 19.61 14.47 11.66 24 92.69 68.39 40.66 24.18 17.84 14.38 25 100.93 74.46 44.28 26.33 19.42 15.65 26 139.03 102.58 60.99 36.27 26.76 21.56 27 75.18 55.47 32.98 19.61 14.47 11.66 28 93.72 69.15 41.11 24.45 18.04 14.54 29 144.18 106.38 63.25 37.61 27.75 22.36 30 113.29 83.58 49.70 29.55 21.80 17.57 31 129.77 95.74 56.93 33.85 24.97 20.13 32 124.62 91.94 54.67 32.51 23.98 19.33 33 148.30 109.42 65.06 38.68 28.54 23.00 34 151.39 111.70 66.41 39.49 29.14 23.48 35 95.78 70.66 42.02 24.98 18.43 14.86 36 125.65 92.70 55.12 32.77 24.18 19.49 37 66.94 49.39 29.37 17.46 12.88 10.38 38 115.35 85.10 50.60 30.09 22.20 17.89
39 87.54 64.59 38.40 22.83 16.85 13.58 40 122.56 90.42 53.76 31.97 23.59 19.01 41 184.35 136.01 80.87 48.09 35.48 28.59 42 121.53 89.66 53.31 31.70 23.39 18.85 43 86.51 63.83 37.95 22.57 16.65 13.42 44 91.66 67.63 40.21 23.91 17.64 14.22 45 105.05 77.50 46.08 27.40 20.22 16.29 46 125.65 92.70 55.12 32.77 24.18 19.49 47 125.65 92.70 55.12 32.77 24.18 19.49 48 124.62 91.94 54.67 32.51 23.98 19.33 49 108.14 79.78 47.44 28.21 20.81 16.77 --------------------------------------------------------------------------------------------------------------------------------------------
Intensidades máximas para diferentes duraciones y periodos de retorno:
Duración-------------------------------------------------------------------------------------------------------------------------------------------- T (años) 20 min 30 min 60 min 120 min 180 min 240 min -------------------------------------------------------------------------------------------------------------------------------------------- 50.00 184.35 136.01 80.87 48.09 35.48 28.59 25.00 171.99 126.89 75.45 44.86 33.10 26.68 16.67 157.57 116.25 69.13 41.10 30.32 24.44 12.50 154.48 113.98 67.77 40.30 29.73 23.96 10.00 151.39 111.70 66.41 39.49 29.14 23.48 8.33 149.33 110.18 65.51 38.95 28.74 23.16 7.14 148.30 109.42 65.06 38.68 28.54 23.00 6.25 144.18 106.38 63.25 37.61 27.75 22.36 5.56 144.18 106.38 63.25 37.61 27.75 22.36 5.00 144.18 106.38 63.25 37.61 27.75 22.36 4.55 140.06 103.34 61.44 36.54 26.96 21.72 4.17 139.03 102.58 60.99 36.27 26.76 21.56 3.85 132.85 98.02 58.28 34.65 25.57 20.61 3.57 129.77 95.74 56.93 33.85 24.97 20.13 3.33 128.74 94.98 56.48 33.58 24.78 19.97 3.13 125.65 92.70 55.12 32.77 24.18 19.49 2.94 125.65 92.70 55.12 32.77 24.18 19.49 2.78 125.65 92.70 55.12 32.77 24.18 19.49 2.63 124.62 91.94 54.67 32.51 23.98 19.33 2.50 124.62 91.94 54.67 32.51 23.98 19.33 2.38 122.56 90.42 53.76 31.97 23.59 19.01 2.27 121.53 89.66 53.31 31.70 23.39 18.85 2.17 115.35 85.10 50.60 30.09 22.20 17.89 2.08 113.29 83.58 49.70 29.55 21.80 17.57 2.00 113.29 83.58 49.70 29.55 21.80 17.57 1.92 109.17 80.54 47.89 28.48 21.01 16.93 1.85 108.14 79.78 47.44 28.21 20.81 16.77 1.79 105.05 77.50 46.08 27.40 20.22 16.29 1.72 105.05 77.50 46.08 27.40 20.22 16.29 1.67 100.93 74.46 44.28 26.33 19.42 15.65 1.61 100.93 74.46 44.28 26.33 19.42 15.65 1.56 97.84 72.18 42.92 25.52 18.83 15.17 1.52 95.78 70.66 42.02 24.98 18.43 14.86 1.47 93.72 69.15 41.11 24.45 18.04 14.54
1.43 92.69 68.39 40.66 24.18 17.84 14.38 1.39 92.69 68.39 40.66 24.18 17.84 14.38 1.35 91.66 67.63 40.21 23.91 17.64 14.22 1.32 87.54 64.59 38.40 22.83 16.85 13.58 1.28 87.54 64.59 38.40 22.83 16.85 13.58 1.25 86.51 63.83 37.95 22.57 16.65 13.42 1.22 82.39 60.79 36.14 21.49 15.86 12.78 1.19 79.30 58.51 34.79 20.69 15.26 12.30 1.16 75.18 55.47 32.98 19.61 14.47 11.66 1.14 75.18 55.47 32.98 19.61 14.47 11.66 1.11 73.12 53.95 32.08 19.07 14.07 11.34 1.09 72.09 53.19 31.63 18.80 13.87 11.18 1.06 66.94 49.39 29.37 17.46 12.88 10.38 1.04 66.94 49.39 29.37 17.46 12.88 10.38 1.02 59.73 44.07 26.20 15.58 11.50 9.26 --------------------------------------------------------------------------------------------------------------------------------------------
--------------------------------------------------Ecuación de ajuste para I - D - T:--------------------------------------------------
Ecuación : Imáx = 794.0474*T^(0.2726) *D^(-0.7500)R : 0.9860R^2 : 0.9722Se : 8.2737
------------------------------------------------------------------------Imax de diseño para los valores de T y D dados:------------------------------------------------------------------------
Para T: 10 añosPara D : 60 minImax : 69.00 mm/hr
Valores de Imax, para diferentes D en min y para T = 5, 10, 20 y 50 años
-------------------------------------------------------------------------------------------------------------- Duración D T = 5 años T = 10 años T = 20 años T = 50 años -------------------------------------------------------------------------------------------------------------- 10 218.97 264.51 319.52 410.19 20 130.20 157.28 189.99 243.90 30 96.06 116.04 140.17 179.95 40 77.42 93.52 112.97 145.02 50 65.49 79.11 95.56 122.67 60 57.12 69.00 83.35 107.00 70 50.88 61.46 74.25 95.31 80 46.03 55.61 67.17 86.23 90 42.14 50.91 61.49 78.94 100 38.94 47.04 56.82 72.94 110 36.25 43.79 52.90 67.91 120 33.96 41.03 49.56 63.62 --------------------------------------------------------------------------------------------------------------