ejercicio_n° 10_comparacion_precipitacion_media_promedio_poligonos_isoyetas

10
Cálculo precipitacion media: Promedio simple Pluviometro Precipitación (mm) P2 75.00 P3 450.00 P5 550.00 358.33 mm P media =

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precipitacion de pluviometros

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Page 1: EJERCICIO_N° 10_COMPARACION_PRECIPITACION_MEDIA_PROMEDIO_POLIGONOS_ISOYETAS

Cálculo precipitacion media: Promedio simple

PluviometroPrecipitación

(mm)

P2 75.00

P3 450.00

P5 550.00

358.33 mmP media =

Page 2: EJERCICIO_N° 10_COMPARACION_PRECIPITACION_MEDIA_PROMEDIO_POLIGONOS_ISOYETAS

Cálculo precipitacion media: Poligonos de Thiessen

PoligonoPrecipitacion Area P*A

(mm)

P1 100.00 20.63 2062.50

P2 75.00 79.28 5945.97

P3 450.00 114.49 51518.91

P4 150.00 8.90 1335.71

P5 550.00 78.55 43203.05

P6 600.00 16.13 9677.90

Sumatoria : 317.98 113744.04

357.71 mm

(Km2) (mm*Km2)

P media =

Page 3: EJERCICIO_N° 10_COMPARACION_PRECIPITACION_MEDIA_PROMEDIO_POLIGONOS_ISOYETAS

Cálculo de areas (vértices) de poligonos de Thiessen

Poligono P1 P2 P3 P4 P5 P6Coordenadas

X Y X Y X Y X Y X Y X YVertices

1 -3.25 1.00 -2.00 3.50 -3.05 5.60 2.19 3.14 1.29 7.40 -1.09 8.46

2 -2.00 3.50 -3.25 1.00 -2.00 3.50 2.04 1.68 1.78 3.50 1.29 7.40

3 -3.05 5.60 -3.00 0.00 1.78 3.50 3.00 2.00 2.19 3.14 2.50 8.00

4 -3.50 2.00 2.04 1.68 1.29 7.40 3.34 3.37 3.34 3.37 0.00 9.00

5 -3.25 1.00 2.19 3.14 -1.09 8.46 2.19 3.14 3.50 4.00 -1.09 8.46

6 1.78 3.50 -2.00 8.00 5.00 5.50

7 -2.00 3.50 -3.00 6.00 5.00 7.00

8 -3.05 5.60 2.50 8.00

9 1.29 7.40

A = 1/2 ABS (D-I)D I D I D I D I D I D I

-32.18 -38.78 13.26 -12.11 -31.06 -67.70 28.36 25.51 143.60 118.47 24.80 19.64

3.30 12.68 18.32 1.42 12.57 2.58

20.63 79.28 114.49 8.90 78.55 16.13

[u2]

[Km2]

Page 4: EJERCICIO_N° 10_COMPARACION_PRECIPITACION_MEDIA_PROMEDIO_POLIGONOS_ISOYETAS

1 u2 = 6,25 Km2

Page 5: EJERCICIO_N° 10_COMPARACION_PRECIPITACION_MEDIA_PROMEDIO_POLIGONOS_ISOYETAS

Cálculo precipitacion media: Poligonos de Thiessen

PoligonoPrecipitacion Area P*A

(mm)

P1 100.00 20.86 2085.94

P2 75.00 79.48 5960.74

P3 450.00 114.56 51553.12

P4 150.00 8.84 1325.39

P5 550.00 78.48 43162.11

P6 600.00 16.09 9656.25

Sumatoria : 318.30 113743.55

357.34 mm

50.88

317.98

(Km2) (mm*Km2)

P media =

Page 6: EJERCICIO_N° 10_COMPARACION_PRECIPITACION_MEDIA_PROMEDIO_POLIGONOS_ISOYETAS

Cálculo de areas (cuadrados) de poligonos de Thiessen

PluviometroArea

P1 13.35 20.86

P2 50.87 79.48

P3 73.32 114.56

P4 5.65 8.84

P5 50.23 78.48

P6 10.30 16.09

Sumatoria : 203.72 318.30

u2 Km2

1 u2 = 1,5625 Km2

Page 7: EJERCICIO_N° 10_COMPARACION_PRECIPITACION_MEDIA_PROMEDIO_POLIGONOS_ISOYETAS

Cálculo precipitacion media:Isoyetas c/20 mm

Isoyeta Area entre Volumen deDe A Media Isoyetas Precipitacion

(mm) (mm) (mm)20 40 30 0.61 3.84 115.1340 60 50 1.54 9.64 481.7860 80 70 1.66 10.38 726.5180 100 90 1.40 8.75 787.05

100 120 110 1.31 8.19 900.76120 140 130 1.30 8.13 1056.58140 160 150 1.32 8.28 1241.81160 180 170 1.37 8.59 1460.51180 200 190 1.45 9.04 1716.65200 220 210 1.52 9.53 2000.25

220 240 230 1.51 9.46 2175.23240 260 250 1.49 9.34 2335.16

260 280 270 1.49 9.30 2509.99280 300 290 1.49 9.33 2704.43300 320 310 1.51 9.42 2920.01320 340 330 1.53 9.55 3151.91340 360 350 1.54 9.63 3371.81360 380 370 1.57 9.81 3629.01380 400 390 1.64 10.23 3990.68400 420 410 1.76 10.98 4501.29420 440 430 1.94 12.12 5212.41440 460 450 2.26 14.15 6366.94460 480 470 2.56 15.97 7507.37480 500 490 2.72 17.03 8342.25500 520 510 2.80 17.53 8939.98520 540 530 3.00 18.74 9930.54540 560 550 3.48 21.76 11968.69560 580 570 2.99 18.71 10664.70580 590 585 0.09 0.58 336.74

Sumatoria 50.88 317.97 111046.15

349.24 mm

u2 Km2 mm * Km2

P media =

1 u2 = 6,25 Km2

Page 8: EJERCICIO_N° 10_COMPARACION_PRECIPITACION_MEDIA_PROMEDIO_POLIGONOS_ISOYETAS

Cálculo precipitacion media:Isoyetas c/100 mm

Isoyeta Area entre Volumen deDe A Media Isoyetas Precipitacion

(mm) (mm) (mm)20 100 60 5.22 32.60 1955.81

100 200 150 6.76 42.22 6333.19200 300 250 7.51 46.95 11736.25300 400 350 7.78 48.65 17025.75400 500 450 11.24 70.25 31611.38500 590 545 12.37 77.31 42135.65

Sumatoria: 50.88 317.97 110798.03

348.46 mm

u2 Km2 mm * Km2

P media =

1 u2 = 6,25 Km2