hoj d calculo d precipitacion

3. PRECIPITACIÓN MEDIA EN LA CUENCA:

3.1. METODO ARITMÉTICO:

DONDE: Pi : Sonlas precipitaciones medias anuales.

ESTACION PRECIPITACION MEDIA ANUAL

1 #REF!2 #REF!3 #REF!4 #REF!

P = #REF! mm.

3.2. MÉTODO DE POLÍGONOS DE THIESSEN:

NOTA:

COMO LOS ANGULOS INTERIORES NO SON OBTUSOS; DRITRIBUYEREMOS LAS ESTACIONES DE UNA MANERA COHERENTE PARA OBTENER ANGULOS INTERIORES OBTUSOS

𝑃= (∑_(𝑖=1)^5▒𝑃_𝑖 )/5

92°33°

32°

56°

C3

48°

99°

C1

C2C4

CALCULANDO LAS AREAS DEL POLIGONO

ESTACION ÁREA DE INFLUENCIA (m2) PRECIPITACION REGISTRADA

1 2204675.6760 #REF!2 5322980.1165 #REF!3 3366296.1216 #REF!4 2557626.4225 #REF!

13451578.3366 #REF!

P = #REF! mm.

𝑃= (∑_(𝑖=1)^5▒〖〖 (𝐴〗 _𝑖∗𝑃_𝑖)〗 )/(∑_(𝑖=1)^5▒𝐴_𝑖 )

PRECIPITACION MAXIMA EN 24 HORAS DE LA ESTACION DE AMBO LOS AÑOS 1976-2007DEPARTAMENTO :HUANUCO LATITUD :09º 58´ 00" S

PROVINCIA :AMBO LONGITUD :76º 15´ " W

DISTRITO :AMBO ALTITUD :1947msnm

AÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO AGOSTO SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE TOTAL MAX_ANUAL

1976 28.6 82.56 48.96 4.56 3.86 4.56 8.49 4.28 9.12 1.23 1.86 28.63 226.71 82.561977 33.63 42.53 23.56 19.86 13.56 8.26 0 3.56 23.61 12.36 37.52 36.52 254.97 42.531978 45.26 12.63 32.56 28.47 7.52 4.26 6.26 3.56 15.61 5.86 32.56 41.56 236.11 45.261979 17.56 50.23 38.96 12.63 0 4.26 18.72 3.56 12.56 11.56 85.23 18.63 273.9 85.231980 28.63 48.96 4.56 6.85 0 2.85 1.86 1.26 3.26 50.23 20.13 35.02 203.61 50.231981 31.56 80.26 46.23 6.53 2.86 1.98 4.56 2.86 2.86 25.63 31.26 74.56 311.15 80.261982 36.52 52.61 38.26 12.63 3.56 3.85 4.56 3.56 1.26 8.96 22.85 30.85 219.47 52.611983 51.23 36.52 45.63 14.85 8.26 4.52 6.23 3.52 14.26 40.12 25.63 38.92 289.69 51.231984 35.63 50.26 33.89 21.63 24.56 7.26 10.63 6.52 45.23 24.56 30.25 35.62 326.04 50.261985 58.23 33.56 40.56 19.56 16.52 9.86 5.26 3.85 16.52 18.56 35.26 42.56 300.3 58.231986 48.56 35.56 32.56 13.26 8.26 4.56 6.85 5.26 15.26 28.56 40.25 32.56 271.5 48.561987 43.56 38.56 41.26 25.69 14.23 4.25 0 2.45 18.56 21.56 22.36 42.56 275.04 43.561988 23.56 32.12 38.52 34.5 21.63 6.85 2.63 4.52 20.15 31.52 40.25 34.56 290.81 40.251989 31.25 51.26 45.26 25.63 18.29 3.52 4.26 3.25 13.45 27.63 25.63 25.63 275.06 51.261990 38.56 35.16 45.23 36.26 14.52 3.26 2.86 4.56 10.23 23.52 28.63 32.56 275.35 45.231991 42.36 32.56 34.56 21.5 18.56 6.85 2.86 4.56 21.56 28.56 21.56 34.56 270.05 42.361992 36.25 35.26 45.23 38.26 14.25 3.89 6.26 5.26 10.25 42.53 26.53 36.52 300.49 45.231993 35.26 62.53 62.53 45.26 12.56 4.56 3.74 4.86 18.56 20.85 28.56 38.25 337.52 62.531994 51.26 74.56 84.56 44.56 14.26 4.21 3.85 5.23 18.56 16.54 24.56 37.56 379.71 84.561995 52.13 74.56 64.52 25.16 13.25 4.56 3.12 3.52 14.26 18.56 26.51 38.52 338.67 74.561996 51.23 65.23 64.85 40.58 24.59 7.45 5.46 3.98 13.25 15.86 24.85 35.82 353.15 65.231997 53.26 64.52 64.85 47.58 12.85 8.26 4.25 4.85 17.56 30.56 34.56 42.85 385.95 64.851998 51.23 74.56 78.56 37.96 4.02 6.89 3.85 4.86 18.56 16.52 27.58 46.25 370.84 78.561999 37 71 70 4 0 1 1 4 24 15 7 22 256 712000 49 69 42 5 8 6 3 1 8 24 44 24 283 692001 49 51 53 19 17 8 7 3 19 30 25 30 311 532002 39 70 91 15 10 5 1 6 10 45 34 36 362 912003 27 26 30 12 4 5 3 4 18 25 31 21 206 312004 41 19 9 10 1 5 2 4 19 10 46 50 216 502005 57 139 92 16 0 3 1 3 11 18 18 37 395 1392006 42 44 35 19 9 5 9 4 11 7 47 53 285 532007 36 41 41 3 2 4 5 9 19 29 32 42 263 42

Promedio 40.70 53.02 47.46 21.46 10.09 5.09 4.64 4.12 15.42 22.65 30.57 36.75 291.97

Maximo 58.23 139.00 92.00 47.58 24.59 9.86 18.72 9.00 45.23 50.23 85.23 74.56 395.00

Minimo 17.56 12.63 4.56 3.00 0.00 1.00 0.00 1.00 1.26 1.23 1.86 18.63 203.61

Años Reg. 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00

Fuente: SENAMHI 139

AÑO P. MEDIA1976 18.891977 21.251978 19.681979 22.831980 16.971981 25.931982 18.291983 24.141984 27.171985 25.031986 22.631987 22.921988 24.231989 22.921990 22.951991 22.501992 25.041993 28.131994 31.641995 28.221996 29.431997 32.161998 30.901999 21.332000 23.58 CARACTERÍSTICAS DE LA PRECIPITACIÓN DE LA ESTACIÓN

2001 25.92 PROMEDIO: Xm= 25.39062002 30.17 VARIANZA: 16.96402003 17.17 DESVIACIÓN ESTÁNDAR: Sx= 4.20372004 18.00 COEFICIENTE DE VARIABILIDAD: C.V.= 0.16562005 32.922006 23.752007 21.92

PRECIPITACION MAXIMA EN 24 HORAS DE LA ESTACION DE CHAGLLA LOS AÑOS 1976-2007DEPARTAMENTO :HUANUCO LATITUD :09º 51´ 00" S

PROVINCIA :PACHITEA LONGITUD :75º 54´ " W

DISTRITO :CHAGLLA ALTITUD :3059msnm

S²x=

1970 1975 1980 1985 1990 1995 2000 2005 20100.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

PRECIPITACIÓN MEDIA ANUAL- ESTACIÓN 1(1983 - 2007)

AÑO DE REGISTRO

PREC

IPIT

ACIÓ

N M

EDIA

AN

UAL (

mm

)


1976 43 31 12 11 22 4 1 7 31 11 14 44 231 441977 24 17 7 30 14 4 2 5 6 35 11 15 170 351978 18 10 9 4 2 7 8 11 11 31 6 14 131 311979 33 18 47 6 10 2 7 3 11 6 10 14 167 471980 32 24 59 2 1 2 9 4 14 17 24 12 200 591981 21 33 25 9 18 6 50 1 9 4 3 15 194 501982 16 16 17 180 16 7 67 1 8 19 18 27 392 1801983 10 12 12 9 1 2 9 7 29 14 20 48 173 481984 34 27 48 12 16 4 27 3 11 7 8 10 207 481985 6 11 24 3 4 6 37 6 15 12 15 23 162 371986 18 16 31 36 23 7 13 8 5 21 14 13 205 361987 11 10 16 7 2 1 21 9 31 28 8 11 155 311988 27 25 33 72 8 1 27 4 4 9 12 11 233 721989 46 18 14 13 23 7 1 13 41 15 13 14 218 461990 10 15 23 29 2 7 13 7 9 22 8 14 159 291991 8 13 13 4 5 7 20 10 8 14 22 24 148 241992 31 23 36 11 19 2 1 28 14 4 8 16 193 361993 39 22 22 17 24 7 31 2 14 35 20 26 259 391994 24.56 14.85 6.15 43.52 3.85 4.81 1.5 2.3 3.85 8.56 4.5 18.45 136.9 43.521995 14.52 16.5 16.2 4.5 5.6 0 3.5 8.3 5.1 9.4 12.2 9.48 105.3 16.51996 16.5 9.8 18.5 19.8 12.23 5.4 1.2 2.1 5.4 14.26 8.52 11.5 125.21 19.81997 6.7 12.5 8.5 3.89 12.5 2.8 0 12.5 14.2 16.2 14.8 25.8 130.39 25.81998 35.8 14.56 37.4 12.3 4.2 3.7 1 2.8 15.6 18.5 26.8 28.6 201.26 37.41999 43.5 55.2 51.5 35.8 21.5 3.5 14 4.2 24.1 42.7 12.7 25.4 334.1 55.22000 45.8 52.4 81.4 36.4 12.8 7.5 13.5 7.2 7.8 32.8 19.5 11.4 328.5 81.42001 35.4 14.7 35.2 3.8 4.5 5.4 7.6 6.8 12.6 18.4 21 14.2 179.6 35.42002 36.2 28.4 24.5 21.9 0.2 4.8 24.3 10.5 18.9 16.5 13 14.6 213.8 36.22003 34.9 25 28.5 4.5 16.5 3.5 2.3 20.45 12.8 13.4 8.4 70.5 240.75 70.52004 22 10 6 12 7 7 6 2 15 67 22 46 222 672005 25 28 47 11 9 7 4 16 11 22 21 12 213 472006 25 21 25 4 0 2 1 14 26 15 9 43 185 432007 25 23 46 4 4 1 4 11 11 8 24 11 172 46

Promedio 25.56 20.84 27.50 21.01 10.12 4.42 13.37 7.79 14.20 18.96 14.11 21.65 199.53

Maximo 46.00 55.20 81.40 180.00 24.00 7.50 67.00 28.00 41.00 67.00 26.80 70.50 392.00

Minimo 6.00 9.80 6.00 2.00 0.00 0.00 0.00 1.00 3.85 4.00 3.00 9.48 105.30

Años Reg. 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00

Fuente: SENAMHI 180

AÑO P. MEDIA1976 19.25

1970 1975 1980 1985 1990 1995 2000 2005 20100.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00


AÑO DE REGISTRO

PREC

IPIT

ACIÓ

N M

EDIA

AN

UAL (

mm

)

1977 14.171978 10.921979 13.921980 16.671981 16.171982 32.671983 14.421984 17.251985 13.501986 17.081987 12.921988 19.421989 18.171990 13.251991 12.331992 16.081993 21.581994 11.411995 8.781996 10.431997 10.871998 16.771999 27.842000 27.38 CARACTERÍSTICAS DE LA PRECIPITACIÓN DE LA ESTACIÓN2001 14.97 PROMEDIO: Xm= 16.33272002 17.82 VARIANZA: 20.83702003 20.06 DESVIACIÓN ESTÁNDAR: Sx= 4.65892004 18.50 COEFICIENTE DE VARIABILIDAD: C.V.= 0.28522005 17.752006 15.422007 14.33

PRECIPITACION MAXIMA EN 24 HORAS DE LA ESTACION DE TINGO MARIA DE LOS AÑOS 1976-2007DEPARTAMENTO :HUANUCO LATITUD :09º 17´ 00" S

PROVINCIA :LEONCIO PRADO LONGITUD :75º 59´ " W

DISTRITO :RUPA-RUPA ALTITUD :691msnm


1976 53 56 51.5 55 65 23 21.3 18.9 23.1 128 83.5 86 664.3 1281977 110 51 80.5 125.7 33.9 18 57.5 29 61.5 25.4 80.4 33.3 706.2 125.71978 45.4 31.6 49.4 51.5 61.8 19.5 61.8 31 30 50 58 54 544 61.81979 27.8 52 74.5 67.6 52 27 44.6 5 20.8 54.8 70.8 75.3 572.2 75.3

S²x=

1970 1975 1980 1985 1990 1995 2000 2005 20100.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00


AÑO DE REGISTRO

PREC

IPIT

ACIÓ

N M

EDIA

AN

UAL (

mm

)

1980 68.9 81.4 36 43 35 49.9 30 29 36 45 58.7 66.5 579.4 81.41981 119.8 134 80 43.7 48 62 15 14 76.7 100 106 108 907.2 1341982 99.7 73 94.8 78 80 41 58.8 15 63 42 58 81 784.3 99.71983 83 109 54 76 32 32 20 31 33 65 89 79.7 703.7 1091984 68 60 60 58 80 63 66 56 45 75 59.8 21 711.8 801985 51 100 38 82 15 23 82 68 52 50 74 55.5 690.5 1001986 49 29 47 41 52 23 27 65 65 53 74 57 582 741987 64.5 47.2 68.1 85.7 55 31.4 36.9 22.5 23.9 76.5 85 61.2 657.9 85.71988 79 56.6 42.2 89 53 20.6 31.8 3.7 60.8 66.7 64 44 611.4 891989 58.4 94.4 85 84.8 18.7 35 36.8 52 43 58.2 67 34 667.3 94.41990 76.7 67 41.2 33 70 47.2 60 36.5 30.2 60.5 52.5 86.3 661.1 86.31991 98.4 21.3 58.4 67.8 32.4 33.2 27.9 16.5 20.5 42.7 68.8 72.5 560.4 98.41992 49.6 79.3 55.2 90 77.7 56.8 20 58 56.2 85 98.3 98 824.1 98.31993 104 25 27.5 62 43.4 36.3 48.3 40.5 55.9 90.5 80.7 97.4 711.5 1041994 133 84.8 46.5 94.3 71.3 34.3 67.4 21.9 58.1 82.3 45.7 149.2 888.8 149.21995 82.3 98.4 83.7 36.2 36.3 45.3 44.2 16.9 44.5 75.3 51.3 70.7 685.1 98.41996 68.7 75.3 32.2 76 63.9 50 21 30 54.5 53 78 44.6 647.2 781997 55 39.7 60.4 51 50 33.7 51.3 23.7 76.2 33.6 68 99.8 642.4 99.81998 52.5 87 74.5 63.3 156 83 16.4 27.5 36.9 97.1 72.2 54.8 821.2 1561999 57.1 78.3 82.6 66.3 116.5 52.2 48 22.3 22.7 26.1 71.8 94 737.9 116.52000 88.5 64.5 54.6 24.1 20.9 60.9 85.6 20.5 32.8 53.4 51.7 65.4 622.9 88.52001 95.9 45.8 71.8 38.8 67.7 28.3 43.3 7.4 88.3 35.5 79 43.9 645.7 95.92002 72.2 78.8 123.1 72.7 64.7 46.9 40.7 28.9 61.3 46 65.2 60.4 760.9 123.12003 33.8 106 51.7 54.6 149.7 94.6 23.5 57.1 58.4 111.2 86 103.3 929.9 149.72004 64.1 67.8 80 50 38.1 13.8 79.6 27.5 33.4 48.5 68.2 46.1 617.1 802005 48.8 92.6 94.7 23.3 37.5 43.7 37.5 25.7 54.3 58.7 66.8 97.5 681.1 97.52006 38 86 45 92 31 23 77 11 23 96 75 70 667 962007 92 54 52 53 26 26 36 22 19 110 98 54 642 110

Promedio 71.50 69.59 62.38 63.42 57.33 39.93 44.29 29.19 45.63 65.47 72.04 70.76 691.52

Maximo 133.00 134.00 123.10 125.70 156.00 94.60 85.60 68.00 88.30 128.00 106.00 149.20 929.90

Minimo 27.80 21.30 27.50 23.30 15.00 13.80 15.00 3.70 19.00 25.40 45.70 21.00 544.00

Años Reg. 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00

Fuente: SENAMHI 156

AÑO P. MEDIA1976 55.361977 58.851978 45.331979 47.681980 48.281981 75.60

1970 1975 1980 1985 1990 1995 2000 2005 20100.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

90.00


AÑO DE REGISTRO

PREC

IPIT

ACIÓ

N M

EDIA

AN

UAL (

mm

)

1982 65.361983 58.641984 59.321985 57.541986 48.501987 54.821988 50.951989 55.611990 55.091991 46.701992 68.681993 59.291994 74.071995 57.091996 53.931997 53.531998 68.431999 61.492000 51.91 CARACTERÍSTICAS DE LA PRECIPITACIÓN DE LA ESTACIÓN


PRECIPITACION MAXIMA EN 24 HORAS DE LA ESTACION DE HUANUCO LOS AÑOS 1976-2007DEPARTAMENTO :HUANUCO LATITUD :09º 57´ 00" S

PROVINCIA :HUANUCO LONGITUD :76º 14´ " W

DISTRITO :AMARILIS ALTITUD :1859msnm


1976 12.8 16 3.1 2.6 1.5 0 0 0 2.7 14 7 4.1 63.8 161977 10.3 13.5 13.7 31.4 15.7 0.5 0.7 5.5 14.2 11 28.5 26.5 171.5 31.41978 9.1 8.7 16.8 7.8 10.9 1 0.7 1.5 0.8 3.2 6.5 15.8 82.8 16.81979 10 8 40 26.8 0 0 3.2 0 3.5 30.7 10.4 5.4 138 401980 13 6 14 8 5 2 1 3 3 33 16 31 135 331981 7 22 18 2 13 26 6 0 3 14 4 13 128 261982 10 13 8 18 3 7 17 3 6 12 20 21 138 211983 10 14 8 24 10 2 1 5 5 17 28 12 136 281984 8 13 19 14 2 9 10 4 3 17 2 36 137 36

S²x=

1970 1975 1980 1985 1990 1995 2000 2005 20100.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

90.00


AÑO DE REGISTRO

PREC

IPIT

ACIÓ

N M

EDIA

AN

UAL (

mm

)

1985 5 12 14 20 18 1 13 13 1 13 4 22 136 221986 6.1 17.6 18.5 7.4 10 12.9 2.1 9.1 5.2 4.5 8.1 15.6 117.1 18.51987 4.9 12.2 18.6 13.5 2.9 4.8 4.2 2.4 4.5 5.7 15.8 12 101.5 18.61988 13.8 20.1 8.7 18.6 4.2 0 4.2 1.5 7.4 3.6 10.7 7 99.8 20.11989 15.7 8 11.9 6.5 6.3 3.4 0 1.4 5.7 20.6 11.1 27.4 118 27.41990 11.5 6.1 15.1 20.1 13 4.7 1.3 4.5 2.8 21.3 18 12 130.4 21.31991 4.7 15 28.8 8.3 2 5 4.8 0 2.2 11.4 15 20.4 117.6 28.81992 8.5 29.6 15.6 5.4 0 3.6 0 25 2 38.4 24.9 9.8 162.8 38.41993 12.5 18 13.7 13.5 6.2 4.7 3.4 3.7 6 7.6 16.4 12.3 118 181994 5 8.7 10.9 24 15 0 0 0 20.5 19 7.2 20.6 130.9 241995 8 18.9 17.5 8.9 1.8 0.7 1.2 0.4 3 8.9 13.9 12.3 95.5 18.91996 13.5 9.1 15.9 17.1 10.4 0 0.1 3.5 1.4 9.3 15.1 8.1 103.5 17.11997 10.5 6.6 11.4 10.6 4.2 1.9 0 4.1 5.3 8.3 1.2 7.8 71.9 11.41998 17.9 16.5 27.5 1 2.7 1.8 0 1.5 3.2 13.4 26 7.2 118.7 27.51999 13.1 28 15.2 5.4 9.2 8.1 4.7 0.6 33 5.6 10.7 13.7 147.3 332000 10.8 14.2 14.6 7.7 5.3 7.3 2.4 12.1 4 2.8 20.3 19.3 120.8 20.32001 11.3 8.9 10.6 25.7 7.4 0.8 3.2 5 2 10 48.7 10.8 144.4 48.72002 13 19.4 14.9 27.2 9.7 2.1 5.2 1.3 2.8 22.9 7.8 5.2 131.5 27.22003 12.3 6.4 9.4 14.9 3 0.1 0.1 6.9 4.4 12.5 23 18.1 111.1 232004 7.6 8.1 11.9 10.5 11.7 1.4 2.1 4.6 11.3 6.4 13 17.6 106.2 17.62005 5.9 16.6 25.5 2.4 0.6 0 0.8 7.5 3.5 11 8.7 20.1 102.6 25.52006 10 25 15 10 11 3 1 1 32 10 18 6 142 322007 10 13 20 4 0 0 1 1 3 14 13 14 93 20

Promedio 10.06 14.13 15.81 13.04 6.74 3.59 2.95 4.13 6.48 13.50 14.78 15.13 120.33

Maximo 17.90 29.60 40.00 31.40 18.00 26.00 17.00 25.00 33.00 38.40 48.70 36.00 171.50

Minimo 4.70 6.00 3.10 1.00 0.00 0.00 0.00 0.00 0.80 2.80 1.20 4.10 63.80

Años Reg. 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00 43.00

MAX_ANUAL 48.7Fuente: SENAMHI

AÑO P. MEDIA1976 5.321977 14.291978 6.901979 11.501980 11.251981 10.671982 11.501983 11.331984 11.421985 11.331986 9.761987 8.46

1970 1975 1980 1985 1990 1995 2000 2005 20100.00

2.00

4.00

6.00

8.00

10.00

12.00

14.00

16.00


AÑO DE REGISTRO

PREC

IPIT

ACIÓ

N M

EDIA

AN

UAL (

mm

)

1988 8.321989 9.831990 10.871991 9.801992 13.571993 9.831994 10.911995 7.961996 8.631997 5.991998 9.891999 12.272000 10.07 CARACTERÍSTICAS DE LA PRECIPITACIÓN DE LA ESTACIÓN


S²x=

1970 1975 1980 1985 1990 1995 2000 2005 20100.00

2.00

4.00

6.00

8.00

10.00

12.00

14.00

16.00


AÑO DE REGISTRO

PREC

IPIT

ACIÓ

N M

EDIA

AN

UAL (

mm

)

hoj d calculo d precipitacion

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