Examen 1 de Hidrologia

8/16/2019 Examen 1 de Hidrologia

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COMPLETACION DE DATOS FALTANTES

ESTACIONES X PRESIPITACIONA 820 150B 740 120C 650 80X 700 X

PX 109.238713

METODO DE LOS PROMEDIOS

AÑO XA X2004 754 731 X2005 766 6902006 1662007 410 3062008 576 610

2506 2337626.5 584.25

METODO DE LA RECTA DE REGRESION

RAÑO A B

1997 786 20736 628 53691.5102

1998 846 7056 708 23017.22451999 1332 161604 1112 63648.08162000 918 144 816 1910 93878

1( )

3

x x x Px PA PB PC

xA xB xC = + +

X XA

X XA=

( )(

( 1) *

x xr

n Sx

−=

−

∑2( )

1

x xSx

n

−=

−

∑

2( )

1

y ySy

n

−=

−

∑



20012002 930 0 803 3216.51022003 1115 34225 1020 25691.51022004 887 1849 867 53.08163272005 800 16900 1056 38528.08162006 857 5329 847 161.653061

2007 930 0 756 10756.653120082009 888 1764 793 4450.795922010 915 225 1002 20245.22452011 817 12769 831 824.5102042012 999 4761 797 3933.08163

PROMEDIO 930 859.714286

SUMA 267362 250128.857

S 138.192929 133.665055

CURAS I ! D !F

"ORAS INTENCIDAD

1160 0.5 0.5

1250 8.5 10.2

12#5070 10.5 9.00

14140 4.5 1.92857143

16#20

PERI10 30

1 0.03333333 302 0.06666667 153 0.1 104 0.13333333 7.55 0.16666667 66 0.2 57 0.23333333 4.28571429

8 0.26666667 3.759 0.3 3.3333333310 0 33333333 3

INTERALODE TIEMPO

LLUIAPARCIAL

N$ DEORDEN %

FRECUENCIAP&%'(

TIEMPO DERETORNO



11 0.36666667 2.7272727312 0.4 2.513 0.43333333 2.3076923114 0.46666667 2.1428571415 0.5 216 0.53333333 1.875

17 0.56666667 1.7647058818 0.6 1.6666666719 0.63333333 1.5789473720 0.66666667 1.521 0.7 1.4285714322 0.73333333 1.3636363623 0.76666667 1.3043478324 0.8 1.2525 0.83333333 1.226 0.86666667 1.15384615

27 0.9 1.1111111128 0.93333333 1.0714285729 0.96666667 1.03448276

30 1 1



154.805267

C R A ! B765 9900.25 !144 !231.714286 33366.8571

876 132.25 !84 !151.714286 127441020 24180.25 402 252.285714 101418.857641 49952 25 12 43 7142857 524 571429

)

*

y

Sy

−



0.59

781 6972.25 0 !56.7142857 0849 240.25 185 160.285714 29652.8571807 3306.25 !43 7.28571429 !313.285714875 110.25 !130 196.285714 !25517.1429947 6806.25 !73 !12.7142857 928.142857

889 600.25 0 !103.714286 0

871 42.25 !42 !66.7142857 28021000 18360.25 !15 142.285714 !2134.28571933 4692.25 !113 !28.7142857 3244.71429849 240.25 69 !62.7142857 !4327.28571

864.5

125535.5 152390

94.6933019

& 930 965.510337 & 930

ECRECIENTEDO DE DURACION60 120 240

E++#502E++#502E++#502E++#502E++#502E++#502E++#502

E++#502E++#502E++#502

C)*+, T-,./



E++#502E++#502E++#502E++#502E++#502E++#502

E++#502E++#502E++#502E++#502E++#502E++#502E++#502E++#502E++#502E++#502

E++#502



R A ! C!144 !99.5 14328

!84 11.5 !966402 155.5 6251112 223 5 2682



0.33

0 !83.5 0185 !15.5 !2867.5!43 !57.5 2472.5

!130 10.5 !1365!73 82.5 !6022.5

0 24.5 0

!42 6.5 !273!15 135.5 !2032.5

!113 68.5 !7740.569 !15.5 !1069.5

59657

ECUACION0.60924598 X ! 859.714286 0.60924598 918 ! 859.714286



PENDIENTE DE LA CUENCA

CRITERIO DE ALBOR

CURA LONGITUD200 156.70400 174.10600 150.00800 106.80

1000 100.001200 93.001400 65.501600 78.101800 73.90

2000 78.902200 97.002400 94.302600 76.502800 65.00

SUMA 1409.80

AREA 684.65 %2 *+/* / * /(*D 200.00 % /(-/ :(,*(,/

S & 0.41183086

ELEACION MEDIA DE LA CUENCA

COTAS %(%

2375 2400 0.5 2387.50 1193.752400 2500 1.3 2450.00 3185.002500 2600 1.4 2550.00 3570.002600 2700 1.4 2650.00 3710.002700 2800 1.8 2750.00 4950.002800 2900 2.5 2850.00 7125.002900 3000 2.4 2950.00 7080.003000 3100 3.7 3050.00 11285.003100 3200 6.7 3150.00 21105.003200 3300 10 3250.00 32500.00

AREA PARCIAL%2 COTA MEDIA

%(%

COTA MEDIAX AREAPARCIAL



SUMA 31.70 95703.75

E & 3019.04574 %(%

CURA "IPSOMETRICACOTAS

P1 2

23752375 2400 2387.50 0.5 0.752400 2500 2450.00 1.3 1.942500 2600 2550.00 1.4 2.092600 2700 2650.00 1.4 2.092700 2800 2750.00 1.8 2.69

2800 2900 2850.00 2.5 3.742900 3000 2950.00 2.4 3.593000 3100 3050.00 3.7 5.533100 3200 3150.00 6.7 10.013200 3300 3250.00 10 14.953300 3400 3350.00 12.2 18.243400 3500 3450.00 6.6 9.873500 3600 3550.00 5.9 8.823600 3700 3650.00 3.3 4.933700 3800 3750.00 2.1 3.14

3800 3900 3850.00 1.2 1.793900 4000 3950.00 1.6 2.394000 4100 4050.00 1.6 2.394100 4200 4150.00 0.5 0.754200 4250 4225.00 0.2 0.304250

%* 66.9

PENDIENTE DE LA CUENCA

PROGRESIA COTA DESNIEL

2 0 8802 500 890 103 0 905 153 500 925 20

AREAPARCIAL%2

PORCENTA;EDEL TOTAL



4 0 950 254 500 980 30

SUMA

S3 & 0.03587227

<+:=+/-* :,*2000 8802500 8903000 9053500 9254000 9504500 980

2 & 0.032

1 & 0.04

>? & 0.0000R & 1



100 X 0.75 99.25 99.25 2387.502.69 97.31 97.31 2450.004.78 95.22 95.22 2550.006.88 93.12 93.12 2650.009.57 90.43 90.43 2750.00

13.30 86.70 86.70 2850.0016.89 83.11 83.11 2950.0022.42 77.58 77.58 3050.0032.44 67.56 67.56 3150.0047.38 52.62 52.62 3250.0065.62 34.38 34.38 3350.0075.49 24.51 24.51 3450.0084.30 15.70 15.70 3550.0089.24 10.76 10.76 3650.0092.38 7.62 7.62 3750.00

94.17 5.83 5.83 3850.0096.56 3.44 3.44 3950.0098.95 1.05 1.05 4050.0099.70 0.30 0.30 4150.00

100.00 0.00 0.00 4225.00

LONGITUD PENDIENTE L'S @1'2

500 0.02 3535.53391500 0.03 2886.75135500 0.04 2500

PORCENTA;EACUMULADO

ACUMULADOPOR ENCIMA



500 0.05 2236.06798500 0.06 2041.24145

2500 13199.5947

?@2 ! 0.025? 890

6:,*



CURA "IPSOMETRICA



/H-/(-* / +-/=:-((*-:( 30 *</+-:( 65 =:,/: 90

253.19364 LTS'S506.387281



EVAPORACION POTENCIAL, POR HARGREAVES MODI%(%

M A M ; ; A12.8 12.1 10.2 9 8.7 9.855.0 53.8 50.4 48.2 47.7 49.6

153.6 196.7 243.7 246.7 245.7 228.4

12.2 11.8 11.5 11.3 11.4 11.731 30 31 30 31 31

40.6 55.6 68.4 72.8 69.5 63.016.3

475.9 414 381.3 342 365.8 403

227 231 236 219 229 2401.193 1.193 1.193 1.193 1.193 1.193

111.0 106.0 102.0 109.0 100.0 111.0

PARA UNA CEDULA CRITICA DE CULTIO PO

M A M ; ; A

1

0.22 0.5 0.6 0.55 0.028

360 160 160 120 120 4000.57 0.57 0.53 0.55 0.28 1111.0 106.0 102.0 109.0 100.0 111.063.27 60.42 54.06 59.95 28.00 111.0073.5 34.4 3.6 0 1.4 0.8

! 26.02 50.46 59.95 26.6 110.2

! 260.2 504.6 599.5 266 1102

JALUEK 41632 80736 71940 31920 440800

24 ):+*



24 "ORAS12 "ORAS



ICADO

S O N D11.5 12.9 13.2 13 SENAM"I52.7 55.2 55.8 55.4

200.2 201.6 179.3 148.2 SENAM"I

12 12.4 12.7 12.930 31 30 31

55.6 52.4 47.1 37.1

438 489.8 493.5 511.5

245 266 254 2341.193 1.193 1.193 1.193

112.0 117.0 116.0 114.0

R "ARGREAES

S O N D

0.26 0.71 0.95 0.981 0.36 0.84 1

560 760 800 8000.47 0.71 0.73 0.81 *+: ($ 6 -(,/+<:*+112.0 117.0 116.0 114.052.64 83.07 84.68 92.3411.8 26.1 50.4 85.9 ,** 7 /(*%)- ! /

40.84 56.97 34.28 6.44

408.4 569.7 342.8 64.4

228704 432972 274240 51520

CUADRON$4

CUADRO

N$5



*-:(



ANALISIS DE CONSISTENCIA DE LAS/ +/*-* %/-*(,/ : -=-/(,/ <+:/:#

a) Analisis visual gr!"#E%#

"*/+ / *(-- -* =+H: <*+* * -=-/(,/ /+-/ / *,:.

A:

1954 13.3

1955 211956 11.11957 5.221958 4.41959 6.71

1960 8.551961 8.161962 7.831963 5.351964 7.511965 5.831966 10.11967 9.651968 7.511969 10.5

1970 14.31971 10.11972 4.821973 11.71974 8.411975 8.681976 6.11977 5.331978 6.681979 38

1980 56.91981 55.21982 42.61983 44.11984 41.91985 44.71986 46.91987 321988 36.2

P+/-<-,*-:(%%

HISTOG



1989 37.51990 33.11991 73

1992 63.51993 72.4



NFORMACION HIDROLÓGICA

$) AnE%#

P*+* / :((

1234

56789

1011121314

15161718192021222324

252627282930313233

AMA



343536

37

E(&'l#*

P+-%/+: / :

A:19851986198719881989199019911992199319941995199619971998

P*+* / :((-(-/ *(*-



1999

S/=(: / =

T/+/+: :(,/,*-:(/



C*+,: )*/D/ : )-,:=+L* /,*-:(/

D/ /,/ /%

E( / *: /<+//(,*( *



lisis %& %#$l& 'asa

: / *,: <+//(,*: =+*H*+ * +* / :/ %**

ÑOESTACIO

TAMBO TOTAL ANUAL ACUMULADO

1964 98 98 0.09801965 413.5 511.5 0.51151966 95 606.5 0.60651967 456.1 1062.6 1.0626

1968 180 1242.6 1.24261969 427.5 1670.1 1.67011970 299.9 1970 1.97001971 36.4 2006.4 2.00641972 1030.1 3036.5 3.03651973 758.7 3795.2 3.79521974 338.6 4133.8 4.13381975 363.2 4497 4.49701976 433.4 4930.4 4.93041977 315.9 5246.3 5.2463

1980 279.2 5525.5 5.52551981 430.9 5956.4 5.95641982 194.9 6151.3 6.15131983 241.1 6392.4 6.39241984 572.7 6965.1 6.96511985 415.6 7380.7 7.38071986 275.6 7656.3 7.65631987 240.6 7896.9 7.89691988 334.2 8231.1 8.23111989 512.2 8743.3 8.7433

1990 417.7 9161 9.16101991 457.8 9618.8 9.61881994 386.7 10005.5 10.00551995 546.5 10552 10.55201996 158.6 10710.6 10.71061997 262.7 10973.3 10.97331998 570.4 11543.7 11.54372000 666.9 12210.6 12.21062001 532 12742.6 12.7426



2002 583.3 13325.9 13.32592003 300.3 13626.2 13.62622004 245 13871.2 13.8712

2005 233 14104.2 14.1042

ALORES DE PRECIPIITACION ANUAL %%A: ESTACION A ESTACION B ESTACION C

1985 889.8 452 637.71986 1076 558.5 736.51987 1083.7 500.8 5901988 1002.5 606.7 588.31989 635.7 607.8 700.6

1990 713.6 714.8 639.91991 507.8 722 729.61992 485.2 868.8 845.21993 668.5 742.3 976.51994 568.2 584 886.81995 502.8 716.4 816.51996 349.4 646.3 663.91997 514.9 688.2 712.61998 407.9 947.1 914.81999 689.6 645.3 469.1

,+/ ( *+: /( / * / *%/ * <+/-<-,*-:(/ / ** /,*-:(

ESTACION A PREC. ACUM. ESTACION B PREC. ACUM.889.80 889.80 452.00 452.00

1076.00 1965.80 558.50 1010.501083.70 3049.50 500.80 1511.301002.50 4052.00 606.70 2118.00635.70 4687.70 607.80 2725.80713.60 5401.30 714.80 3440.60507.80 5909.10 722.00 4162.60485.20 6394.30 868.80 5031.40668.50 7062.80 742.30 5773.70568.20 7631.00 584.00 6357.70502.80 8133.80 716.40 7074.10349.40 8483.20 646.30 7720.40514.90 8998.10 688.20 8408.60407.90 9406.00 947.10 9355.70

: / *,: <+//(,*: =+*H*+ / )-,:=+*%* <*+* ** /,*-Q( * +**+ : )-,:=+*%* -*=+*%* / %** +/,*(,/



689.60 10095.60 645.30 10001.00

+*H* : *: // / * *-* * <+/-<-,*-:( %/-* *(* / ** /

-%: / -*=+*%* / :/ %** :(-/+*(: /( / // / * *-* :

HISTOGRAMA DE LAS ESTAC

DIAGRAMA DE DO+LE M



: / *(-- / : )-,:=+*%* / -*=+*%* / :/ %**.%* <:/%: *<+/-*+ / * E,*-Q( A -(-(* * <+//(-* / ( *,:B C (: <+//(,*( -(--: / / <:+*( /?-,-+ *,: : ,/(/(-*.

/ <: :(-+ / / (//*+-: +/*-*+ ( *(-- /,*,-: *,: <*+*

-*=+*%* / :/ %** / *<+/-* / * +* :++/<:(-/(,/ * * /,*-/,*-:(/ B C * :(,+*+-: / (:,* * <+//(-* / -/+/ : * (:



157.3 7713.2 7.7132 10519.55 10.51955144.1 7857.3 7.8573 10741.75 10.74175141.4 7998.7 7.9987 10934.95 10.93495

146.7 8145.4 8.1454 11124.8 11.1248

.

ESTACION C PREC. ACUM. PROMEDIO637.70 637.70 659.83736.50 1374.20 1450.17590.00 1964.20 2175.00588.30 2552.50 2907.50700.60 3253.10 3555.53639.90 3893.00 4244.97729.60 4622.60 4898.10845.20 5467.80 5631.17976.50 6444.30 6426.93886.80 7331.10 7106.60816.50 8147.60 7785.17663.90 8811.50 8338.37712.60 9524.10 8976.93914.80 10438.90 9733.53

/ :/ %** :(-/+*(: * <+/-<-,*-:( *(* <+:%/-: :%: /,*-:(



469.10 10908.00 10334.87

,*-Q(. "-,:=+*%*

*,: / * <+/-<-,*-:( %/-* *(* <+:%/-: / * ,+/

ONES A,+,C

E,*-:( A

E,*-Q( BE,*-Q( C

ASA



* <*+,-+ / *: 1999.

/+-H*+ * :(-,/(-* / * /,*-:( A

:( A (: <+//(,* (* ,/(/(-* -(/* ,* :%: - :/,*+* :(H+%*(: * <+//(-* / *,: /( /,* /,*-Q(.

E,*-Q( A

E,*-Q( B

E,*-Q( C



TAMBO SANTIAGO DE C"OCOROS0.098 0.037

0.5115 0.12770.6065 0.23311.0626 0.7141

1.2426 0.8261.6701 1.0347

1.97 1.22672.0064 1.80343.0365 2.48163.7952 2.70444.1338 2.8214

4.497 2.99144.9304 3.25545.2463 3.5306

5.5255 3.5745.9564 3.7796.1513 3.93016.3924 4.11126.9651 4.62957.3807 4.90127.6563 5.10277.8969 5.18828.2311 5.26648.7433 5.5368

9.161 5.56759.6188 5.673410.0055 5.999110.552 6.1617

10.7106 6.328710.9733 6.454811.5437 6.967612.2106 7.251112.7426 7.5559



nlisis %& D#$l& Masa %& la Pr&"iia"i#n T#P&ri#%# -./012334



al Anual

TAMBO



ANALIE5EMPLO*

Para l#s %a#s %& r&"iia"i#n '&nsual %& la &sa"

A: E(/ F/ M*+ A+ M*1985 149.7 133.4 106.1 66 17.61986 179.4 193 192.1 153.3 35.31987 185.6 126.6 85.1 25.9 37.21988 198.9 139.9 96.4 107.5 12.41989 94.5 89.3 88.7 43.3 6.91990 162 38.6 33.5 33.5 331991 50.2 49.5 99.8 29.1 27.11992 45.6 43.9 31.1 25.9 18.91993 79.4 72.9 83.5 34.6 10.71994 88.1 100.8 64.6 80.1 19.81995 106.2 96.7 62.8 48.3 7.1

1996 52.9 68.2 51.3 52.6 8.61997 75.6 104 45.5 26.6 81998 95.7 70.3 48.6 28.9 7.3

1999 112.9 125.6 90.2 61.8 10.7MINIMO 45.6 38.6 31.1 25.9 6.9MAXIMO 198.9 193 192.1 153.3 37.2

DES. STAND. 51.21 42.09 39.81 35.99 10.88

PROMEDIO 111.78 96.84667 78.62 54.493333 17.373333

CONSTRUCCION DEL HISTOGRAMA

PRESIPITACI



IDENTIFICAR LOS PERIODOS EN LOS CUALES SE ESTIMA SE HA;A PR

(1 & 61 1985 ! 1990

(2 & 119 1990 ! 1999

A: E(/ F/ M*+ A+ M*

1985 149.7 133.4 106.1 66 17.61986 179.4 193 192.1 153.3 35.31987 185.6 126.6 85.1 25.9 37.21988 198.9 139.9 96.4 107.5 12.41989 94.5 89.3 88.7 43.3 6.91990 162 38.6 33.5 33.5 331991 50.2 49.5 99.8 29.1 27.11992 45.6 43.9 31.1 25.9 18.91993 79.4 72.9 83.5 34.6 10.71994 88.1 100.8 64.6 80.1 19.8

1995 106.2 96.7 62.8 48.3 7.11996 52.9 68.2 51.3 52.6 8.61997 75.6 104 45.5 26.6 81998 95.7 70.3 48.6 28.9 7.3

1999 112.9 125.6 90.2 61.8 10.7

REALI<AR LA PRUE+A DE MEDIAS

PERIODO ERDE ENEO 1985 ! ENERO 1990

PROMEDI & 79.503279DES. EST & 61.386668

PERIODO 2RO;O FEBRERO 1990 ! DICIEMBRE 1999

PROMEDI & 44.066387

DES. EST & 32.81584



CALCULO DE LA DESVIACION PONDERADA =SP) DESVIACION DE LA DI

(1 & 61(2 & 119S1 & 61.39

S2 & 32.82

SP & 44.54SD & 7.01

, & 5.05

CALCULO DEL 66 TA+ULAR = DE TA+LAS) ; COMPARACION CON EL 6

NUMERO GRADOS DE LIBERTAD & 178,, & 1.97

, & 5.05, ,, /?-,/ *,: /( * %/-*

REALIVAR LA PRUEBA DE ARIANVAS

S1 & 61.39

S2 & 32.82

FC & 3.4992991

CALCULO DEL WF,W TABULAR DE TABLAS COMPARACION CON EL WFW

G.L.N & 60G.L.D & 118

A>* & 0.05

,** F, & 1.43

F & 3.4992991

F, & 1.43FF, /?-,/ *,: /( * *+-*(*

CORRECCION DE LA INFORMACION



X, & 43.3X1 & 79.50328X2 & 44.06639S1 & 61.39

S2 & 32.82

X, & 24.71298 CORREGIDA

E5ERCICIO N>3-

TABLA N$ 1

PERIODO N$ MEDIA WXW

;(!64 M*+!66 22 12.43 7.6

A<+!66 D/!75 117 153.43 74.01

SOLUCION

WTW CALCULADO T95 TABLA COMPARACION

!8.17 1.97 ,,,

WFW CALCULADO F95 TABLA COMPARACION

94.93 1.84 >>,

E5ERCICIO N>32

S/ ,-/(/ (* /+-/ %/(* / <+/-<-,*-Q( / (* /,*-Q( YXZ * * ,-/(//-+ // ;(-: / 1964 * --/%+/ / 1975 /( * * / // / *(-(>:+%*-Q( / *%<: / / </+:: (-: 1964 [%*+: 1966 <+//(,* *,:/,+* / <-Q%/,+: * +/*-**( * /<\ / )*/+ /*: * -,+*(<:+,/ / /(*+=*: )*,* * /,*-Q( / %/-* )*-\(:/ /,*/-* --/%+/ / 1975 * -(>:+%*-Q( / % :(H*/.

DESESTANDAR

WSXW

Analizando la serie histórica de 1961-1991 de una estación pluviométrica “! " su #ra$ica de domedias " varianzas para dos periodos& 'ealizar el an(lisis estad)stico respectivo

W W/.



PERIODO N

1961!1968 8 1566.7 120.5

1969!1991 23 1743.7 175.8

S#lu"i#n*

Analisis %& '&%ias*α=0.005

G.L&238!2&29 G.L.1&8!1&7 T&!2.63S/ ,:%* / *:+ *:,: G.L.2&23!1&22 T,&2.04 F&2.12 TT, F,&2.01

FF,

Analisis %& varian9as

α=0.005

G.L.1&8!1&7G.L.2&23!1&22F&2.12F,&2.01

FF,

E*-:( / :++/-:(

X1&1.46X1!542.4

%%

WS?W%%



IS DE SALTOS

i#n 6A6, "#nsruir su 7is#gra'a 8 r&ali9ar &n analisis %& sal#s

;( ; A=: S/, O, N: D- T:,*36.7 13.4 8 50.9 47.2 86.7 174.1 889.80.6 25.4 57.2 72.3 51.7 40.9 74.7 1075.922.7 50.2 29.4 55.8 78.2 192.4 194.6 1083.7

0 2.2 0 45.2 102.1 133.1 164.9 1002.64.2 1.5 39.1 41.4 55.1 116.4 55.3 635.731.9 11.9 39.2 45.4 116 99.7 68.9 713.629 2.4 0 69.9 48.8 52.9 49.1 507.8

30.8 7.9 8.7 52.5 64.1 89.3 66.6 485.332.6 13.3 17.3 35.1 79.4 125.6 84.1 668.51.6 0 8.4 34.3 42.6 38.2 89.7 568.20 10.5 2.8 19.6 30.2 41.9 76.7 502.8

0 0 5.4 9.8 26.7 35.7 38.2 349.40.7 1.5 26.2 62.6 44 48.8 71.4 514.90.5 0 0 2 47.5 57.8 49.3 407.9

3.7 18.4 4.9 42.6 44.1 82.8 89.8 687.50 0 0 2 26.7 35.7 38.2 349.4

36.7 50.2 57.2 72.3 116 192.4 194.6 1083.715.19 13.40 17.74 20.29 25.28 44.85 48.27 237.90

13 10.573333 16.44 42.626667 58.513333 82.813333 89.826667 672.90667

ON MENSUAL -.:4 1 -...



DUCIDO EL SALTO

;( ; A=: S/, O, N: D-

36.7 13.4 8 50.9 47.2 86.7 174.10.6 25.4 57.2 72.3 51.7 40.9 74.722.7 50.2 29.4 55.8 78.2 192.4 194.6

0 2.2 0 45.2 102.1 133.1 164.94.2 1.5 39.1 41.4 55.1 116.4 55.331.9 11.9 39.2 45.4 116 99.7 68.929 2.4 0 69.9 48.8 52.9 49.1

30.8 7.9 8.7 52.5 64.1 89.3 66.632.6 13.3 17.3 35.1 79.4 125.6 84.11.6 0 8.4 34.3 42.6 38.2 89.7

0 10.5 2.8 19.6 30.2 41.9 76.70 0 5.4 9.8 26.7 35.7 38.20.7 1.5 26.2 62.6 44 48.8 71.40.5 0 0 2 47.5 57.8 49.3

3.7 18.4 4.9 42.6 44.1 82.8 89.8



FERENCIA DE PROMEDIOS =SD) ; 66 CALCULADO =")

"6 CALCULADO



-

-

( </+:: / 139 %// */-- / :/ %** / *:: /-: * / **(: )** >*--*/ /

: / * <*+,-+ / *+- / 1966

DIFERENCIA ENMEDIA

SIGNIFICATIA

DIFERENCIA EN LADESIACION

SIGNIFICATIA

%le masa se esta%lece la di$erencia de



COMPLEE5ERCICIO N@-

S/ //* /,/+%-(*+ * <+/-<-,*-:( ,:,* / *: 1972 /

E,*-:(

A 412 399B 517 430C 389 400

D ! 290

s#lu"ui#n*

P?&

P?& 310.04934672%%

E5ERCICIO N@ 32C**+ * <+/-<-,*-:( %/-* *(* <*+* / *: 1986 /(

A:

1984 754 7311985 766 690

1986 166 !1987 410 306

1988 576 610

S#lu"i#n*

X<+:%/-:&

A<+:%/-:&

X&

X& 154.80526736

E(&r"isi# N@ 3

P+/-<-,*-:(1972 %%

:(

P+:%/-:30 *:

E,*-:( A%%

E,*-:( X%%

290'3412'399517'43

0389'400

754766410576'4

731690306610'4

584.25]166'626.50



A:P+/-<-,*-:( %%

E,*-:( WAW X

1985 45 471986 51.1 521987 53 54.5

1988 54 591989 56 631990 63 721991 70.1 821992 74.2 801993 48 50.31994 60 62.41995 90.2 105.656951996 70.1 78.4696321997 40.3 40.833284

1998 60.5 65.9516551999 56.7 61.091722

S#lB* M:/: / +/=+/-Q( -(/* -%</

A:P+/-<-,*-:( %%

E,*-:( WAW XX!X<+: 1

1985 45.00 47.00 45.00

1986 51.10 52.00 51.101987 53.00 54.50 53.001988 54.00 59.00 54.001989 56.00 63.00 56.001990 63.00 72.00 63.001991 70.10 82.00 70.101992 74.20 80.00 74.201993 48.00 50.30 48.001994 60.00 62.40 60.001995 90.20

1996 70.101997 40.301998 60.501999 56.70

PROMEDIO 57.44 62.22

& 1014.13'796.32 & 1.0877* & 62.22!57.44^1.2735 & !0.26

R@2 & 0.9554

E,*-:(WBW

E,*-:(WBW



R&0.9774

R&0.9769

>? & 75.8550433003 (? !

R & 0.9675737548

$) R&gr&si#n l#ga

")R&gr&si#n

>? & 1.1298063567? ! 2.137238987R & 0.9847634592

a) R&gr&si#n Li



R&0.98

R&0.9751

* / /( /,* :++/*-:( /:%</,*+ * ,**

? & . ? .R & 0.9672821836

>? & 19.3524098337 /?< 0.0200978396 ? R & 0.9541223073

%)R&gr&si#



ACION ; E?TENSION DE DATOS

* /,*-:( D ,/(-/(: :%: -(>:+%*-:( : *,: / * /,*-:(/ ABCD

* /,*-:( WXW ,/(-/(: :%: -(>:+%*-:( : *,: / * /,*-:( A

X<+:%/-:& 584.25

A<+:%/-:& 626.5



C: / P*+%/,+: D-/+:

!<+: 2X!X<+:@2

47.00 2115.00 2025.00

52.00 2657.20 2611.2154.50 2888.50 2809.0059.00 3186.00 2916.0063.00 3528.00 3136.0072.00 4536.00 3969.0082.00 5748.20 4914.0180.00 5936.00 5505.6450.30 2414.40 2304.0062.40 3744.00 3600.00

SUMA 36753.30 33789.86

X!X<+:^ ! <+:



243.7157815323

ri'i"a

#&n"ial

&al Si'l&



*:+ / R / *<+:?-%* %* * * (-* *+/%: /,* <*+*

E#n&n"ial



METODO CORMUL

AÑO ENE. FEB. MAR1976 193.10 159.70 124.601977 104.80 17.30 0.00

1978 115.20 97.90 32.401979 56.90 115.80 120.201980 93.00 51.80 54.301981 47.20 67.30 41.801982 69.10 51.40 178.271983 5.50 51.60 112.601984 19.10 35.80 274.401985 10.40 15.80 11.801986 100.50 92.90 39.601987 255.10 81.30 109.00

1988 248.40 165.90 177.901989 114.80 75.20 96.501990 21.30 4.90 28.901991 111.10 91.201992 91.80 84.10 104.401993 131.60 140.30 153.501994 133.50 331.20 239.001995 33.30 133.10 179.601996 223.40 159.60 187.301997 253.00 256.30 90.20

1998 373.60 466.80 389.00

NUM. MEDIA D.S.23.00 22.00 23.00

121.99 120.73 123.32

95.27 109.95 92.38

PASO N@ 3-%/-* 121.99

D.S. 95.27<+/-<-,*-:( /(/+: 1976 193.1

*:+ /,*-:(*+-: 0.74640495

PASO N 2

/,*-:( ):::)* /,*-:( ,(/ /+:0.75 !0.15!0.18 !1.67!0.07 !0.34



!0.68 !1.8!0.3 !0.51!0.78 !0.89!0.56 !0.19!1.22 !1.03!1.08 !0.08

!1.17 !1.3!0.23 1.241.4 0.87

1.33 1.19!0.08 1!1.06 0.64!0.11 1.93!0.32 0.650.1 0

0.12 0.21

!0.93 !0.641.06 0.881.38 !0.882.64 0.85

>? & 0.4167492996? ! 0.0010507606R & 0.1737266485



PASO N

:/H-/(,/ / :++/*-:( 0.86702026

PASO N 0

:/H-/(,/ / :++/*-:( 0.87(%/+: / *,: :%(/ 20(%/+: / *,: ,:,*/ 23

P 0.8579252868



*1 0.3103448276*2 0.69

T *(:)* 1989 0.67

T *(:)* 1990 0.11 T *(:)* 1991 1.3

PASO N@ 4



ESTACION C"OCLOCOC"AABR. MA ;UN ;UL AGO SET36.90 9.60 15.30 22.30 36.80 52.6021.90 22.60 0.00 1.10 0.60 32.10

45.90 6.60 4.10 2.10 1.80 22.5034.50 6.70 3.70 4.10 6.20 8.1035.10 29.50 4.00 5.66 33.0015.60 15.60 0.10 5.66 12.60

2.10 10.97124.40 13.70 0.00 0.00 0.00 0.00

60.07 25.7320.40 4.70 28.20 1.00 0.20 3.6024.20 1.20 0.20 1.10 1.90 0.9038.10 4.00 0.40 19.70 15.10 5.80

115.60 77.30 1.50 0.00 0.30 8.9051.20 12.40 9.20 0.50 28.90 34.3031.30 128.70 101.70 7.40 21.40 66.0079.10 130.30 22.00 1.70 0.00 8.5045.10 3.20 15.80 13.80 26.70 9.90

184.00 23.00 29.60 8.50 36.60 72.8050.20 39.80 11.30 32.70 18.80 60.3097.10 16.70 0.00 0.00 2.10 26.40

117.70 25.20 2.40 2.90 43.30 44.60125.00 30.50 0.00 0.00 220.20 57.10

153.40 0.00 59.80 0.00 28.40 58.80

21.00 23.00 22.00 21.00 20.00 21.0068.89 28.85 15.56 6.20 25.90 29.47

49.47 37.02 24.18 8.85 48.13 24.03



C7ar Til&

C:

L-(



OCT NO DIC7.00 6.00 109.6031.70 95.40 91.30

34.70 87.90 70.7016.50 30.70 39.9073.80 86.60 25.9029.00 38.60 83.70

9.600.00 50.10 61.80

119.231.30 1.50 83.001.10 3.00 98.9021.20 24.50 46.00

42.00 19.80 88.6086.20 54.3781.80 179.10 82.6029.50 22.60 32.50

104.00 109.30 65.8028.80 43.50 22.4065.80 69.30 63.2066.00 58.50 165.60

104.50 101.00 155.40

122.70 154.40 103.70

20.00 22.00 19.0047.38 62.05 78.45

38.00 49.56 38.84



%( B

*+ C:%( B

Examen 1 de Hidrologia

Documents

Transcript of Examen 1 de Hidrologia