1. Calculo Prec Max a 6 Horas Guadua

7/25/2019 1. Calculo Prec Max a 6 Horas Guadua

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Estacin: Bolivar

Departamento: Cochabamba

Provincia: Arque

DATOS DE : PRECIPITACIN T

AO ENE FEB MAR ABR MAY JUN JUL1968 **** **** **** **** **** **** ****

1969 185! 1"#5 #59 $1" "! "" ""19#" 1"$5 1#"1 !96 9" $" "" #"

19#1 $5" 1""# 96 15 "" 8" "!

19#! #!9 #!" $%" "$ "% "" ""

19#% 1116 $!9 $!$ 1" 81 "" 18

19#$ 16#1 1%"1 %6$ 11" "" "" ""

19#5 #!8 $$5 1%! %# "6 "6 ""

19#6 1"9! 518 $9# "% "6 "" 11#

19## $%9 8%% 116" 1!1 "# "" !!$

19#8 1591 1#98 69$ %#$ %8! "" ""

SUMA 1"#1% 98!# $85! 11#$ 5!# 86 $%1MEDIA 1"#1 98% $85 11# 5% "9 $%

DATOS DE : PRECIPITACIN MXIMA

AO ENE FEB MAR ABR MAY JUN JUL1968 **** **** **** **** **** **** ****

1969 23.5 !!" 1#" 1#$ "! "" ""19#" %5" 75.0 #% %! !5 "" 5"19#1 8" 20.0 5" 15 "" $" "!19#! 1!" 1#% 15! "$ "% "" ""

19#% 15$ 16" 20.0 "6 #6 "" 1819#$ !"" 20.0 81 8" "" "" ""

19#5 1!" 9" $" %" "6 "6 ""19#6 16" 20.0 !"" "% "6 "" 8%19## !"" 15" !"8 8# "# "" 8%

19#8 35.4 %1" 1#" 9% 89 "" ""

MAX %5$ #5" !"8 1#$ 89 $" 8%


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&atitu' )u': 1# 58+ "",

&on-itu' .este: 66 !$+ "",

Altura m/s/n/m: !8!"

TAL (mm)

A"O SEP OCT NO# DIC ANUAL**** **** **** 8"5 1"85 ****

"% "# 15! !5$ !%5 $#$9"" 1%" 1!8 5" !95 %8$5

"$ "$ 6% %1# 5"5 !5$%

"" 16 5! !$9 1%#6 %5#9

#$ "8 !"% 8" 5%8 !981

1$" "% !%" %5! !6% $$%$

"" %$ 5% !"9 88% !5%%

"8 !65 "" %#6 $$6 %%!8

1"6 1#" **** **** 19%% ****

#" 59 $%" 5$1 1!$" #1#9

$"5 696 1%11 %!%% 8#99 %51#1

$" #" 1$6 %!% 8"" %9"8

EN 24 Hr! (mm)

A"O SEP OCT NO# DIC ANUAL**** **** **** 1%5 41.3 $1%

"% "5 15" 89 #" !%5

"" 11" 5" 5" #" #5"

"$ "$ !! 9" 1$" !""

"" "9 5" 11$ 22.0 !!"#" "8 8% 5" 1$" !""

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1%$ 11" 15" !"" $1% #5"


3/33

1 1"88

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% 61$ #5

5 8%%

6 1!11

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8 98

9 86

1" 1%!

11 11!

1! 156

1% 1$5

1$ 1"%

15 89

16 96

1# 1$"

18 1"$

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!5 9%

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HIDROLOGA

MEMORIA DE CALCULO

En este ac0pite se 'eterminan los cau'ales 'e las cuencas subcuencas por el m2to'o racional

ESTIMACION DE LA PRECIPITACION MAXIMA PROBABLE

)e traba3ar0 con la serie anual 'e m04imos correspon'iente a la estacin Bolivar

Debi'o a la alta 'e pluvi-raos en las estaciones pr4imas al sitio 'e proecto que permitan una 'et'irecta 'e las curvas 'e intensi'a' 7 'uracin 7 recuencia se traba3 sobre la base 'e re-istros 'e mprecipitaciones 'iarias

&a precipitacin m04ima probable es aquella ma-nitu' 'e lluvia que ocurre sobre una cuenca particulcual -enerar0 un -asto 'e aveni'a para el que virtualmente no e4iste ries-o 'e ser e4ce'i'o

&os 'iversos proce'imientos 'e estimacin 'e la precipitacin m04ima probable no est0n normalia'varan principalmente con la canti'a' cali'a' 'e los 'atos 'isponibles a'em0s cambian con el tamcuenca su emplaamiento su topo-raa con los tipos 'e temporales que pro'ucen las precipitacione4tremas con el clima &os m2to'os 'e estimacin 'e 0cil r0pi'a aplicacin son los empricos el

Aunque e4iste un n


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Registros pluviomtricos Estacin Parque Arqueologico de San Agustin - Mtodo Gumbel

No AoM! P"#$%$&'#$() *++,

M'-. P"#$%. xi (xi - x!"1 1 1977 108.8 $91

! ! 1978 86.6 %99%8

% % 1979 61 !"##9$

$ $ 1980 75 99#5#

5 5 1981 83.3 5$!16

6 6 1982 121.1 !1"#"

# # 1983 105.9 "$#

8 8 1984 98 #%69

9 9 1985 86 $!%#!

1" 1" 1986 132 6$595

11 11 1987 112 !9%%

1! 1! 1988 156 !$$19"

1% 1% 1989 145 1$#5#61$ 1$ 1990 103 1!85

15 15 1991 89 %"9!1

16 16 1992 96 11!"%

1# 1# 1993 140 11166"

18 18 1994 104 668

19 19 1995 73 11!#91

!" !" 1996 111 195"

!1 !1 1997 113 $116

!! !! 1998 79 #6"9"

!% !% 1999 124 %"%%"!$ !$ 2000 160 !85%!%

!5 !5 2001 93 18$5$

!6 !6 2002 91 !$!8#

!# !# 2003 96 11!"%

!8 !8 2004 136 865!8

!9 !9 2005 130 5$8!9

%" %" 2006 123 !69$#

%1 %1 2007 102 !1"!

%! %! 2008 77 8#5!$

%% 11%6"!%%$ 11%6"!%

%5 11%6"!%

%6 11%6"!%

%#

%8


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Suma %$1"# 191"558

1"658 mm

!$8% mm

19%6 mm

95$1 mm

Para el mo'elo 'e probabili'a':

)e-


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#$lculo de las l$minas para distintas %recuencias

Fuente: Elaboracin propia

Periodo Variable Precip. Prob. de Correccin

Retorno Reducida (mm) ocurrencia intervalo fjo

Aos YT T!(mm) "(#T) T (mm)

2.33 0.5786 106.6112 0.5708 120.4707

5 1.4999 124.4453 0.8000 140.623210 2.2504 138.9709 0.9000 157.0371

25 3.1985 157.3240 0.9600 177.7761

50 3.9019 170.9394 0.9800 193.1615

75 4.3108 178.8532 0.9867 202.1041

100 4.6001 184.4543 0.9900 208.4333


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an0lisisl seruviasa3ustarlo por


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ECUACIN DE INTENSIDAD

Valores concluidos para las relaciones a la lluvia de duracin $% &oras

Fuente: D. F. Campos A., 1978

D$r%&'*+ * ,r%

1 2 3 4 5 6 8 12 18

0.30 0.39 0.46 0.52 0.57 0.61 0.68 0.80 0.91

Tabla '.' Precipitaciones m#imas para di*erentes tiempos de duracin de lluvias


T'*m- .* C&'*/* P!M!P! (mm) -%r% .'0*r*/* /'*m- .* .$r%&'1 S! P*r'. .* R

D$r%&'1 2!33 % 5 % 67 % 25 % 57 % 85 % 677 %

24 hr X24 120.4707 140.6232 157.0371 177.7761 193.1615 202.1041 208.4333

18 hr X18 = 91% 109.6283 127.9671 142.9038 161.7763 175.7770 183.9147 189.6743

12 hr X12 = 80% 96.3766 112.4986 125.6297 142.2209 154.5292 161.6833 166.7467

8 hr X8 = 68% 81.9201 95.6238 106.7852 120.8878 131.3498 137.4308 141.7347

6 hr X6 = 61% 73.4871 85.7802 95.7926 108.4434 117.8285 123.2835 127.1443

5 hr X5 = 57% 68.6683 80.1552 89.5112 101.3324 110.1021 115.1993 118.8070

4 hr X4 = 52% 62.6448 73.1241 81.6593 92.4436 100.4440 105.0941 108.3853

3 hr X3 = 46% 55.4165 64.6867 72.2371 81.7770 88.8543 92.9679 95.8793

2 hr X2 = 39% 46.9836 54.8431 61.2445 69.3327 75.3330 78.8206 81.2890

1 hr X1 = 30% 18.7934 21.9372 24.4978 27.7331 30.1332 31.5282 32.5156

0.830 hr 17.5887 20.5310 22.9274 25.9553 28.2016 29.5072 30.4313

0.667 hr 16.1431 18.8435 21.0430 23.8220 25.8836 27.0820 27.9301

0.500 hr 14.3360 16.7342 18.6874 21.1554 22.9862 24.0504 24.8036

0.333 hr 12.0471 14.0623 15.7037 17.7776 19.3162 20.2104 20.8433

0.166 hr 8.6739 10.1249 11.3067 12.7999 13.9076 14.5515 15.0072

0.083 hr 5.7826 6.7499 7.5378 8.5333 9.2718 9.7010 10.0048

0.050 hr 3.9755 4.6406 5.1822 5.8666 6.3743 6.6694 6.8783

Las relaciones o cocientes a la lluvia de 24 horas se emlean ara duraciones de varias#amos $. roone los siuientes cocientes&

'stos datos ser(n o)tenidos como un orcenta*e de los resultados de laprecipitacin mprobableara 24 horas+ ara cada er,odo de retorno+ di-erentes orcenta*es de este valtiemos de duraci/n de lluvia adotados.

as(ndose en los resultados de la anterior ta)la+ los tiemos de duraci/n adotados+ cintensidad euivalente ara cada caso+ sen&

dd....


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LL[ ][ ].hrt mmPI duracin= 0195.0LLm0195.0LLm


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+ntensidades de lluvia para di*erentes tiempos de duracin


T'*m- .* .$r%&'1 I/*'.%. .* 9% 99$'% (mm ;,r) *


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*019491.0 =t*019491.0 =ttdI==I=t= 3.0=t


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Periodo de retorno para T , - aos

>? @ ln @ ln ln @Aln ln@B2

1 1440 5.8593 7.2724 1.7680 12.8578 52.8878

2 1080 7.1093 6.9847 1.9614 13.6998 48.7863

3 720 9.3749 6.5793 2.2380 14.7246 43.2865

4 480 11.9530 6.1738 2.4810 15.3170 38.1156

5 360 14.2967 5.8861 2.6600 15.6572 34.6462

6 300 16.0310 5.7038 2.7745 15.8253 32.5331

7 240 18.2810 5.4806 2.9059 15.9260 30.0374

8 180 21.5622 5.1930 3.0709 15.9473 26.9668

9 120 27.4215 4.7875 3.3113 15.8530 22.9201

10 60 21.9372 4.0943 3.0882 12.6441 16.763710 4980 153.8262 58.1555 26.2593 148.4521 346.9435

Ln A! " 5.4614 A " 235.4325 # " 0.4876

Periodo de retorno para T , / aos

>? @ ln @ ln ln @Aln ln@B21 1440 6.5432 7.2724 1.8784 13.6607 52.8878

2 1080 7.9391 6.9847 2.0718 14.4709 48.7863

3 720 10.4691 6.5793 2.3484 15.4509 43.2865

4 480 13.3482 6.1738 2.5914 15.9986 38.1156

5 360 15.9654 5.8861 2.7704 16.3070 34.6462

6 300 17.9022 5.7038 2.8849 16.4550 32.5331

7 240 20.4148 5.4806 3.0163 16.5310 30.0374

8 180 24.0790 5.1930 3.1813 16.5206 26.9668

9 120 30.6222 4.7875 3.4217 16.3815 22.9201

10 60 24.4978 4.0943 3.1986 13.0961 16.7637

10 4980 171.7812 58.1555 27.3633 154.8724 346.9435

Ln A! " 5.5718 A " 262.9128 # " 0.4876

Periodo de retorno para T , $- aos


1 1440 7.4073 7.2724 2.0025 14.5628 52.8878

2 1080 8.9876 6.9847 2.1958 15.3373 48.7863

3 720 11.8517 6.5793 2.4725 16.2670 43.2865

4 480 15.1110 6.1738 2.7154 16.7644 38.1156

5 360 18.0739 5.8861 2.8945 17.0371 34.64626 300 20.2665 5.7038 3.0090 17.1625 32.5331

7 240 23.1109 5.4806 3.1403 17.2109 30.0374

8 180 27.2590 5.1930 3.3054 17.1647 26.9668

9 120 34.6663 4.7875 3.5458 16.9753 22.9201

10 60 27.7331 4.0943 3.3226 13.6040 16.7637

10 4980 194.4674 58.1555 28.6037 162.0861 346.9435

Ln A! " 5.6959 A " 297.6342 # " 0.4876

*019491.0 =t*019491.0 =ttdIIt3.0=t3.0=t


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019491.0 tt3.0 tt3.0 t


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Periodo de retorno para T , -/ aos


1 1440 8.0484 7.2724 2.0855 15.1664 52.8878

2 1080 9.7654 6.9847 2.2788 15.9171 48.7863

3 720 12.8774 6.5793 2.5555 16.8131 43.2865

4 480 16.4187 6.1738 2.7984 17.2769 38.1156

5 360 19.6381 5.8861 2.9775 17.5257 34.6462

6 300 22.0204 5.7038 3.0920 17.6359 32.5331

7 240 25.1110 5.4806 3.2233 17.6658 30.0374

8 180 29.6181 5.1930 3.3884 17.5957 26.9668

9 120 37.6665 4.7875 3.6288 17.3727 22.9201

10 60 30.1332 4.0943 3.4056 13.9438 16.763710 4980 211.2973 58.1555 29.4337 166.9131 346.9435

Ln A! " 5.7789 A " 323.3925 # " 0.4876

Periodo de retorno para T , '- aos

>? @ ln @ ln ln @Aln ln@B21 1440 8.4210 7.2724 2.1307 15.4955 52.8878

2 1080 10.2175 6.9847 2.3241 16.2332 48.7863

3 720 13.4736 6.5793 2.6007 17.1109 43.2865

4 480 17.1788 6.1738 2.8437 17.5563 38.1156

5 360 20.5473 5.8861 3.0227 17.7921 34.6462

6 300 23.0399 5.7038 3.1372 17.8941 32.5331

7 240 26.2735 5.4806 3.2686 17.9138 30.0374

8 180 30.9893 5.1930 3.4336 17.8308 26.9668

9 120 39.4103 4.7875 3.6740 17.5894 22.9201

10 60 31.5282 4.0943 3.4509 14.1291 16.7637

10 4980 221.0794 58.1555 29.8863 169.5450 346.9435

Ln A! " 5.8241 A " 338.3643 # " 0.4876

Periodo de retorno para T , // aos


1 1440 8.6847 7.2724 2.1616 15.7198 52.8878

2 1080 10.5375 6.9847 2.3549 16.4486 48.7863

3 720 13.8956 6.5793 2.6316 17.3138 43.2865

4 480 17.7168 6.1738 2.8745 17.7466 38.1156

5 360 21.1907 5.8861 3.0536 17.9736 34.64626 300 23.7614 5.7038 3.1681 18.0699 32.5331

7 240 27.0963 5.4806 3.2994 18.0828 30.0374

8 180 31.9598 5.1930 3.4645 17.9909 26.9668

9 120 40.6445 4.7875 3.7049 17.7370 22.9201

10 60 32.5156 4.0943 3.4817 14.2554 16.7637

10 4980 228.0029 58.1555 30.1947 171.3383 346.9435

Ln A! " 5.8550 A " 348.9607 # " 0.4876

.tc tc3.0 t c


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Periodo de retorno para T , -// aos

>? @ ln @ ln ln @Aln ln@B21 1440 10.1552 7.2724 2.3180 16.8573 52.8878

2 1080 12.3216 6.9847 2.5114 17.5411 48.78633 720 16.2483 6.5793 2.7880 18.3429 43.2865

4 480 20.7165 6.1738 3.0309 18.7123 38.1156

5 360 24.7786 5.8861 3.2100 18.8943 34.64626 300 27.7845 5.7038 3.3245 18.9621 32.5331

7 240 31.6841 5.4806 3.4558 18.9401 30.0374

8 180 37.3710 5.1930 3.6209 18.8032 26.96689 120 47.5262 4.7875 3.8613 18.4859 22.9201

10 60 38.0210 4.0943 3.6381 14.8958 16.7637

10 4980 266.6071 58.1555 31.7588 180.4349 346.9435

Ln A! " 6.0114 A " 408.0448 # " 0.4876 HHtt SS H H S SS S


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Resumen de aplicacin de re0resin potencial

P*r'. .* T=rm' &//*! .* C*0! .*

R*/r (%) r*r*'1 (.) r*r*'1 > & ?

2 201.69298774463 0.4875709881

5 235.43245689313 0.4875709881

10 262.91275660574 0.4875709881

25 297.63418814147 0.4875709881

50 323.39252954262 0.4875709881

75 338.36425961219 0.4875709881

100 348.96067539417 0.4875709881

500 408.04475728055 0.4875709881

romedio = 302.05432640181 0.4875709881

Re0resin potencial

N@ 9 9 9 9 (9)21 2 201.6930 0.8459 5.3067 4.4888 0.7155

2 5 235.4325 1.6094 5.4614 8.7898 2.5903

3 10 262.9128 2.3026 5.5718 12.8296 5.3019

4 25 297.6342 3.2189 5.6959 18.3343 10.3612

5 50 323.3925 3.9120 5.7789 22.6071 15.3039

6 75 338.3643 4.3175 5.8241 25.1456 18.6407

7 100 348.9607 4.6052 5.8550 26.9631 21.20768 500 408.0448 6.2146 6.0114 37.3584 38.6214

88 246!434 28!726 45!5752 GGG 662!8424

1n (A) , 5!24 A , 67!3463 2 , 7!6377

'n -unci/n del cam)io de varia)le realiado+ se realia otra reresi/n de otencia entre las columeriodo de retorno $! el tCrmino constante de reresi/n %!+ ara o)tener valores de la ecuaci/

HHb

Tad *= S SS S


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S


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+ntensidad Tiempo de duracin Per3odo de retorno


&abla de int

Fr*&$*&'%

% 5 67 65 68 25 372 95.03 67.78 55.62 52.33 43.36 39.67

5 107.06 76.36 62.66 58.95 48.85 44.69

10 117.16 83.56 68.57 64.51 53.45 48.91

25 131.99 94.14 77.25 72.68 60.22 55.10

50 144.44 103.02 84.54 79.53 65.90 60.29

75 152.26 108.59 89.11 83.84 69.47 63.56

100 158.06 112.73 92.51 87.04 72.12 65.98

500 194.86 138.98 114.05 107.30 88.91 81.34

$abla %e intensi%a%es & $iempo %e %uracin

S


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24

1.00

/r

577 %

243.7241

221.7889

194.9793

165.7324

148.6717

138.9227

126.7365

112.1131

95.0524

38.0210

35.5837

32.6590

29.0032

24.3724

17.5481

11.6988

8.0429

oras. !. ".

ximaor sen los

lculamos la


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R*/r

677 %

8.6847

10.537513.8956

17.7168

21.1907

23.7614

27.0963

31.9598

40.6445

32.5156

rd es&


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as del&


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nsidad - &ie

3536.80

41.46

45.37

51.11

55.93

58.96

61.20

75.45

$a

1. Calculo Prec Max a 6 Horas Guadua

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