ANALISIS HIDROLOGICO HIDROLOGICO Construccion Sistema de Riego Cairoma CALCULO DEL COEFICIENTE DE ESCURRIMIENTO ESCURRIMIENTO 1. Método de los recursos hídrcos hídrcos
0.0362
Precicitación media anual
Pma =
Parámetro del suelo - cobertura
k=
743.7 mm 0.15
Pradera permanente
0.30
Pastial ! 75" cubierto
0.2#
Pradera permanente
0.30
0.00 0.00 0.00 $oe%iciente escorrent&a' escorrent&a' si k( 0.15
$=:;P ma -250<2000
C!
$oe%iciente escorrent&a' escorrent&a' si k! 0.15
$=:;P ma -250<2000;k-0.15<1 -250<2000;k-0.15<1.5 .5
C!
"."#$ )sar )sar "."# *o usar
%. Metodo ser&co de co'ser&(co' co'ser&(co' de suelos P 24, =
Precipitación má+ima en 24 ,rs actor topora%&a
0.1
actor suelos
0.1
actor cobertura
0.2
/opora%&a llana
0.4
/opora%&a ondulada
0.5
/opora%&a accidentada
0.6
30.645 mm 0.#7 0.50
actor sarea de cultio' precipitaicón' tipo de suelo
0.5
$oe%iciente de scorrent&a
C!
".%%
=
5.47 km2
#. Metodo de )re&ert rea de la cuenca cuenca )so del suelo
pendiente pendiente
osue
Pastial
$ultios ar&colas
"
/e+tura del suelo suelo - re -rc
rc
$
"
$
rea
! 30
0.32
0.42
0.63
0.46
0-5
0.15
0.35
0.45
0.32
5 - 10
0.3
0.4
0.55
0.42
0 10 5 0 20 20
10 - 30
0.35
0.45
0.65
0.4#
30 14.500
0.51
0-5
0.1
0.3
0.4
0.27
5 - 10
0.25
0.35
0.5
0.37
10 - 30
0.3
0.4
0.6
0.43
0.000 3.667 2.167 0.000 6.333 #.333
! 30
0.37
0.47
0.6#
15
7.600
0-5
0.3
0.5
0.6
0.47
0
0.000
5 - 10
0.4
0.66
0.7
0.58
0
0.000
10 - 30
0.5
0.7
0.#
0.67
0
0.000
! 30
0.53
0.74
0.#4
0
0.000
0.70 0.4725
$ prom
0.43
100
*. For+ul( de N(d(l =
5.47 km2
P= k 1 =
743.7 mm
actor de e+tensión de la cuenca actor de la lluia media anual
k 2 =
0.5
actor de la pendiente 9 de la permeabilidad del suelo
k 3 =
1.3
C!
".*%
C!
".%,
rea de la cuenca cuenca Precipitación media anual
$oe%iciente de escorrent&a $oe%iciente de escorrent&a promedio
$ = 0.25 + k 1 + k 2 + k 3 + k
2.6
CALCULO HIDROLOGIA Rieg o Cairoma PROYECTO: Construccion Sistema de Riego CUE)CA: Cuchu+oco-(
RIO:
PRECIPITACIO)ES ,E)SUALES -mm. Y ESCORRE)TIA A)UAL -m".
A5 O 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015
,A4 ,I) ,EDIA
E)E (mm) 129.8 112.3 145.0 150.0 188.2 216.7 40.6 122.8 141.2 134.5 159.6 114.2 116.6 119.0 106.0 102.7 97.8 148.9 185.7 185.9 216.7
E7 (mm) 99.3 214.1 117.6 140.9 130.9 201.3 125.8 128.4 118.2 176.2 125.3 84.6 86.4 88.2 83.9 119.9 128.5 128.4 106.4 104.1 214.1
,AR (mm) 106.9 154.7 89.5 199.2 121.7 97.4 123.5 84.9 43.9 73.3 59.0 72.2 73.7 75.3 45.2 107.2 67.9 49.2 11.9 124.4 199.2
40.6 135.9
83.9 125.4
11.9 89.0
PRECIPITACIO) PRO,EDIO A)UAL -%##. ;mm< A5 O E)E E7 ,AR (mm)
(mm)
(mm)
PERIODO UTILI/ADO %0 % 0061+#%'
A7 R (mm) 54.4 55.0 64.4 24.3 19.2 61.4 95.6 34.7 40.1 70.0 54.2 22.9 23.4 23.9 8.8 10.8 72.3 9.5 0.0 60.4 95.6 0.0 40.3
,AY (mm) 14.4 25.8 0.9 34.4 7.9 20.2 30.8 26.8 51.5 2.3 4.2 24.6 25.1 25.6 17.9 4.3 0.0 27.7 45.3 27.0 51.5 0.0 20.8
8U) (mm) 47.5 15.7 27.3 7.7 69.8 1.9 34.8 9.8 36.6 0.0 4.4 13.1 13.4 13.7 11.0 14.7 0.0 47.9 23.6 0.0 69.8 0.0 19.6
8UL (mm) 16.9 0.0 0.0 34.4 19.9 25.2 87.8 47.9 69.6 62.6 0.0 20.2 20.6 21.1 26.0 40.2 36.1 0.0 14.5 14.3 87.8 0.0 27.9
(mm)
(mm)
9 -m".
%'6#3+
%**##
%#++0%
OCT (mm) 48.6 64.8 87.4 31.4 94.5 72.8 73.2 66.2 32.9 87.4 50.8 51.9 53.0 33.0 50 10.7 39.0 107.3 43.4 48.6 107.3
0.0 41.3
10.7 57.3
)O9 (mm) 88.8 31.4 79.2 53.4 34.8 45.5 45.7 58.2 70.0 76.7 90.9 92.8 94.8 39.8 0.0 13.7 53.0 35.2 25.7 88.8 94.8 0.0 55.9
DIC A)UAL (mm) (mm) 794.1 95.4 967.2 149.2 822.5 72.0 782.2 59.1 862.0 58.1 895.1 58.4 812.2 58.7 822.4 170.6 755.9 83.6 978.3 157.5 710.5 116.1 640.4 118.5 653.9 121.0 524.5 58.5 476.7 90.6 625.5 149.3 588.7 94.1 707.2 88.2 613.9 83.8 840.3 95.4 170.6 58.1 98.9
743.7
,AY
8U)
8UL
AGO
SEP
OCT
)O9
DIC
A)UAL
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
101.9 94.1 66.8 30.2 15.6 n CAUDALES Y 9OL>,E)ES ,EDIOS ,E)SUALES ESCURRIDOS E)E E7 ,AR A7 R ,AY * m+# 31 28 31 30 31 58.27 59.55 38.19 17.84 8.94 = -2@s.
CAUDAL ECOLOGICO = E)E E7 ,AR = -2@s. 5.83 5.96 3.82 CAUDAL UTIL POR )E9ADO = E)E E7 ,AR = -2@s. CAUDAL )ETO UTILI/A7LE E) EL PROYECTO = E)E E7 ,AR 66.63 69.04 49.81 = UTIL -2@s. Cauda2 Aorado Rio LuriBa Cuchumoco (!"#) = -2@s. 11 11
0.0 31.2
SEP (mm) 45.6 97.9 64.1 44.9 74.5 60.8 61.1 36.7 10.8 130.9 5.8 5.9 6.0 6.2 0.0 37.4 0.0 27.0 65.1 45.6 130.9
A7 R
135.9 125.4 89.0 40.3 20.8 19.6 27.9 n PRECIPITACIO) ESPERADA DURA)TE CUAL=UIER A5O -' Pmedia anua2. ;mm< A5 O E)E E7 ,AR A7 R ,AY 8U) 8UL (mm)
AGO (mm) 46.5 46.3 75.1 2.5 42.5 33.5 34.6 35.3 57.5 6.9 40.2 19.5 19.9 20.3 37.3 14.6 0.0 37.9 8.5 45.8 75.1
(mm)
14.7
8U) 30
(mm)
20.9
8UL 31
31.2
41.3
57.3
55.9
98.9
743.7
AGO
SEP
OCT
)O9
DIC
A)UAL
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
23.4
AGO 31
31.0
SEP 30
43.0
OCT 31
41.9
)O9 30
74.2
DIC 31
557.76
A)UAL 365
8.70
11.95
13.40
18.31
24.59
24.78
42.42
27.09
%%"6%*
3'*+6%
*6+'#
+"0"
++'6+
"+##
"'33'
**6%
6'366
6*+"'
A 7R 1.78
,AY 0.89
8U) 0.87
8UL 1.20
AGO 1.34
SEP 1.83
OCT 2.46
)O9 2.48
DIC A)UAL 4.24 32.70
A 7R
,AY
8U)
8UL
AGO
SEP
OCT
)O9
DIC
A)UAL
A 7R
,AY
8U)
8UL
AGO
SEP
OCT
)O9
DIC
A)UAL 476.33
28.47
11
20.05
11
22.02
11
22.76
11
24.07
11
33.57
11
39.29
11
43.58
11
57.05
11
Longitud 6!"#$%#&#'(O Latitud %6!'#$*"&"+(S A2titud *'%3 ,A4I,A AREA DESCARGA DIARIA (C( CUE)CA A)UAL (mm) (km2) (m3) '&* 0.28 53912.32 "'&+ '&* 0.28 72751.00 *&' '&* 0.28 71678.88 *6&3 '&* 0.28 60957.68 "0&3 '&* 0.28 60191.88 "0&" '&* 0.28 46713.80 "#&' '&* 0.28 58353.96 "3&% '&* 0.28 47785.92 "%&+ '&* 0.28 51461.76 ""&6 '&* 0.28 74435.76 *3&6 '&* 0.28 41965.84 +&* '&* 0.28 41812.68 +&" '&* 0.28 41965.84 +&* '&* 0.28 32929.40 +%&' '&* 0.28 29559.88 %0&" '&* 0.28 31244.64 +#&* '&* 0.28 29866.20 %0&' '&* 0.28 29866.20 %0&' '&* 0.28 29866.20 %0&' '&* 0.28 31397.80 +#&' 48.6 74,435.76 19.3 29,559.88 30.6 0.28 5.47 46,935.88 CUE)CA
(C (
AREA (km2)
Cuchumocoya
CUE)CA
0.28
C
5.47
AREA (km2)
Cuchumocoya
CUE)CA Cuchumocoya
0.28
C
0.28
5.47
APORTE -m".
1,139,014.17
APORTE -m".
854,260.63
AREA
APORTE
(km2)
-m".
5.47
% + " * ' 6 3 0 %# %% %+ %" %* %' %6 % %3 %0 +#
3'*?+6#&6" CAUDAL ECOLOGCO #&%
CAUDAL A$O%ADO E& 'E DE $E%E%O 89.1 89.11 L" L"
CALCULO HIDROLOGIA PROYECTO: Construccion Sistema de Riego Cairoma CUE)CA: Cuchu+oco-(
Longitud 6!"#$%#&#'(O Latitud %6!'#$*"&"+(S A2titud *'%3
RIO:
PRECIPITACIO)ES ,E)SUALES -mm. Y ESCORRE)TIA A)UAL -m".
PERIODO UTILI/ADO %0061+#%'
PRECIPITACIO) PRO,EDIO? ,I)I,A Y ,A4I,A 250.0
200.0
150.0
100.0
50.0
0.0 E&E
$E
'A%
A%
'A-
U& 'A
UL /%O'
AGO
E/
OC
&O
DC
'&
CORRELACI) DE SERIES A5O
E)E
E7
,AR
A7R
,AY
8U)
8UL
AGO
SEP
OCT
)O9
DIC
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
(mm)
%006 %00 %003 %000 +### +##% +##+ +##3 +##0 +#%# +#%% +#%+ +#%" +#%*
129.8 112.3 145.0 150.0 188.2 216.7 40.6 116.6 119.0 106.0 102.7 97.8 148.9 185.7
229.1 326.4 262.6 290.9 319.1 418.0 166.4 203.0 207.2 189.9 222.6 226.3 277.3 292.1
336.0 481.1 352.1 490.1 440.8 515.4 289.9 276.7 282.5 235.1 329.8 294.2 326.5 304.0
390.4 536.1 416.5 514.4 460.0 576.8 385.5 300.1 306.4 243.9 340.6 366.5 336.0 304.0
404.8 561.9 417.4 548.8 467.9 597.0 416.3 325.2 332.0 261.8 344.9 366.5 363.7 349.3
452.3 577.6 444.7 556.5 537.7 598.9 451.1 338.6 345.7 272.8 359.6 366.5 411.6 372.9
469.2 577.6 444.7 590.9 557.6 624.1 538.9 359.2 366.7 298.8 399.8 402.6 411.6 387.4
515.7 623.9 519.8 593.4 600.1 657.6 573.5 379.1 387.1 336.1 414.4 402.6 449.5 395.9
561.3 721.8 583.9 638.3 674.6 718.4 634.6 385.1 393.2 336.1 451.8 402.6 476.5 461.0
609.9 786.6 671.3 669.7 769.1 791.2 707.8 438.1 426.2 386.1 462.5 441.6 583.8 504.4
698.7 818.0 750.5 723.1 803.9 836.7 753.5 532.9 466.0 386.1 476.2 494.6 619.0 530.1
794.1 967.2 822.5 782.2 862.0 895.1 812.2 653.9 524.5 476.7 625.5 588.7 707.2 613.9
98.55 98.08 94.24 95.83 98.57 98.30 95.00 97.31 98.57 98.46 98.29 95.27 99.30
+#%'
185.9
290.0
414.4
474.8
501.8
501.8
516.1
561.9
607.5
656.1
744.9
840.3
97.15
CORRELACION (% )
COE& DE CORR&
100.00%
99.00%
98.29% 98.00%
97.00%
96.00%
95.00%
94.00%
93.00%
92.00%
91.00%
Años
199719981999200020012002 200820092010201120122013 2014
98.29 98.29 98.29 98.29 98.29 98.29 98.29 98.29 98.29 98.29 98.29 98.29 98.29 98.29
CALCULO HIDROLOGIA PROYECTO: Construccion Sistema de Riego Cairoma CUE)CA: Cuchu+oco-( PRECIPITACIO)ES ,E)SUALES -mm. Y ESCORRE)TIA A)UAL -m".
Q = 35.000 Eer! $ebrer! &ar'! (bril &a)! *ui! *uli! (g!st! +e,tiembre -ctubre !iembre Diciembre
135.88 125.42 89.05 40.26 20.84 19.64 27.86 31.24 41.32 57.34 55.92 98.91
lt/seg 14.42 13.31 9.45 4.27 2.21 2.09 2.96 3.32 4.39 6.09 5.94 10.50
PERIODO UTILI/ADO %0061+#%'
Di ci embre 9 8.906923 Caudal 39.24 38.13 34.27 29.09 27.03 26.91 27.78 28.14 29.21 30.91 30.76 35.00
372.95
376.47
0 39.12 38.01 34.15 28.97 26.91 26.79 27.66 28.02 29.09 30.79 30.64 35.00
"#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E
%$Q = 0.000 Eer! $ebrer! &ar'! (bril &a)! *ui! *uli! (g!st! +e,tiembre -ctubre !iembre Diciembre
lt/seg
135.88 125.42 89.05 40.26 20.84 19.64 27.86 31.24 41.32 57.34 55.92 98.91
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
%E$
Di ci embre 98.906923 Caudal 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.000
"#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E
%$%E$
0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10
1.10
33,857.57
"#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E
%$39,489.12
%E$
CAUDAL E) EPOCA SECA ;2t@seg<: CAUDAL E) EPOCA LLU9IA ;2t@seg<: 9OLU,E) E) EPOCA SECA ;m"<:
%E$
362.08
"#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E$% "#E
%$+6&'0 "3&0+ 6%"66&#%
0.00
%E$
0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10
375.15
CAUDAL E) EPOCA SECA ;2t@seg<: CAUDAL E) EPOCA LLU9IA ;2t@seg<: 9OLU,E) E) EPOCA SECA ;m"<:
35.000
Longitud 6!"#$%#&#'(O Latitud %6!'#$*"&"+(S A2titud *'%3
RIO:
#&## #&## #&##
%E$
%E$
%E$
%E$
%E$
%E$
%E$
%E$
%E$
363.17581 377.57
10.85 11.28
OAL A/O%E &EADO
'&*
em, ;C
4.66
4.27
5.01
5.56
em, ;C ead!s
8.9
9.2
10.3
11.5
Estadari'ad!
18.80 564.00 7.11? 164:100.00 45:948.00 22:974.00
19.10 592.10 7.46? 184:612.50 51:691.50 25:845.75
20.20 626.20 7.89? 184:612.50 51:691.50 25:845.75
21.40 642.00 8.09? 143:587.50 40:204.50 20:102.25
Estadar d>as !derad! (,!rte @rut! m3 Descarga m3 (,!rte m3
D+#h+!o a*ua! + !aca+# +*:+ 600 a 1200 mm, #+;* +#:uo# +! *<+#:ao Euao ' +*@a, /++=, 2006. $u*am+*:o# + m+:+oo!oa +m>+a:ua m+a m+*#ua! E#:acB* m+:+oo!oca Chooco*a (1996 2015)
36758.4
41353.2
41353.2
32163.6
6.53
7.09
7.04
6.72
6.70
6.73
6.54
11.9
13.5
13.6
13.6
13.4
13.2
12.2
21.80 675.80 8.52? 143:587.50 40:204.50 20:102.25
23.40 702.00 8.85? 164:100 45:948.00 22:974.00
23.50 728.50 9.18? 143:588 40:204.50 20:102.25
23.50 728.50 9.18? 143:588 40:204.50 20:102.25
23.30 652.40 8.22? 184:613 51:691.50 25:845.75
23.10 716.10 9.03? 205:125 57:435.00 28:717.50
22.10 663.00 8.36? 246:150 68:922.00 34:461.00
:*+= (+<#:a :+*+*ca#, #+>:+m?+ 2004).
32163.6
36758.4
0.2 57.270665323 0 0 57.270665323 32163.6 32163.6 41353.2
0.65
45948
55137.6
(ltitud
5.67
10.8 20.70 641.70 8.09? 225:637.50 63:178.50 31:589.25
4787 estadari'ad!
6.04 11.84 260.90 7:932.30 1.00
5567
9.900
100?
100.00?
2:133:300
597:324 298:662
C
Eiciecia
0.26
0.5
0.2 Q Ec!l!gic! 182.07
50542.8 5741691.371
ANALISIS HIDROLOGICO PROYECTO: Construccion Sistema de Riego Cairoma CAUDALES EDIOS ENSUALES Y ANUALES DE LA ICROCUENCA DATOS: APORTE POR PRECIPITACION EDIA ENSUAL !UN %&
REGISTROS Precip. Esperada Anual (mm)
!UL %'
19.6
Aporte ruto (m3)
107439
Descarga ,m%-
27.9
AGO %' 31.2
152416 170881.49
SEP %& 41.3
OCT %'
NO" %&
57.3
DIC %'
55.9
ENE %'
98.9
226005.4 313646.2 305880.84
135.9
#E$ () 125.4
AR %' 89.0
A$R %& 40.3
541020.9 743248.547 686049.84 487098.15 220236.64
AY %'
ANUAL %*+
20.8
743.68
113984 4067907.77
%&&)%
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Distribución de la Aportación Media Mensual (m) 180000 160000 140000 APORTE
120000
APORTE NETO
CAUDAL ECOLOGICO
100000 80000 60000 40000 20000 0 JUN
JUL
AGO
SEP
OCT
NOV
DIC
ENE
FEB
MAR
ABR
MA!
A)ALISIS HIDROLOGICO PROYECTO: Construccion Sistema de Riego Cairoma CUE)CA: CucFumocoa AREA DE LA CUE)CA: '&* uente: SER9ICIO )ACIO)AL DE ,ETEOROLOGIA -SE)A,HI. ESTACIO) CLI,ATICA: LuriBa
PRECIPITACIO)ES ,A4I,AS E) +* Hrs& ;mm< PERIODO I)OR,ADO: %00'1+#%* PERIODO UTILI/ADO: %00'1+#%*
A5O
E)E
E7
,AR
A7R
,AY
8U)
8UL
AGO
SEP
OCT
)O9
DIC
1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 'A '& 'EDA
12.8 14.2 16.4 11.5 20.4 27.6 12.8 18.7 14.1 18.2 30.2 27.6 21.6 19.7 6.0 10.0 8.4 28.3 9.4 12.3 30.2 6.0 17.0
8.9 4.3 14.2 13.5 18.3 20.5 13.8 9.7 26.5 9.7 24.6 20.5 17.3 9.7 11.1 30.5 20.0 19.3 7.0 16.3 30.5 4.3 15.8
13.8 3.2 16.9 14.2 19.6 19.3 10.6 9.8 6.7 4.5 7.9 8.1 19.4 8.8 7.5 0.0 16.0 25.4 3.0 4.8 25.4 0.0 11.0
3.8 10.8 4.8 7.7 2.8 0.0 4.7 4.4 6.2 3.2 2.2 6.1 1.2 0.9 2.5 0.0 5.1 1.5 0.0 7.6 10.8 0.0 3.8
0.7 2.4 4.1 0.0 0.0 1.2 1.0 5.8 0.0 1.6 0.0 0.0 3.3 13.4 8.3 16.3 0.0 0.0 5.0 6.1 16.3 0.0 3.5
0.0 2.1 0.0 13.8 0.0 3.8 3.9 0.8 0.0 1.5 0.0 0.0 12.3 3.1 0.0 0.0 0.0 0.0 6.0 0.0 13.8 0.0 2.4
1.2 8.4 0.0 0.0 7.6 0.0 3.7 8.6 0.0 6.1 2.1 0 0.0 0.0 2.0 5.0 3.5 0.0 0.0 1.6 8.6 0.0 2.5
10.6 6.5 2.9 6.6 0.0 9.1 15.3 2.6 4.6 6.2 0.0 5.8 0.0 3.4 0.0 0.0 0.0 0.0 6.8 1.5 15.3 0.0 4.1
3.7 5.2 12.8 5.6 10.3 0.0 8.8 4.7 8.0 1.5 7.8 3.2 5.3 7.4 1.2 5.4 1.2 0.0 3.1 8.0 12.8 0.0 5.2
0.0 1.7 10.8 9.4 5.7 18.2 9.5 9.2 2.0 5.2 3.8 22.0 4.3 9.1 0.0 6.5 7.0 9.0 4.0 0.0 22.0 0.0 6.9
3.1 27.6 2.2 14.3 6.8 0.0 5.6 6.5 4.9 7.8 15.5 13.2 17.9 7.8 18.7 0.0 5.3 4.0 5.0 28.1 28.1 0.0 9.7
16.2 20.5 5.8 0.0 17.8 15.6 9.2 18.2 16.1 20.0 13.2 17.8 19.2 32.6 15.2 45.0 31.2 14.0 10.3 17.5 45.0 0.0 17.8
,A4& E) +* Hrs&
,I)& E) +* Hrs&
16.2 47.5 16.9 14.3 20.4 27.6 15.3 18.7 26.5 20.0 30.2 27.6 21.6 32.6 18.7 45.0 31.2 28.3 10.3 28.1
0.0 1.7 0.0 0.0 0.0 0.0 1.0 0.8 0.0 1.5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
PRO,& 6.2 8.9 7.6 8.1 9.1 9.6 8.2 8.3 7.4 7.1 8.9 10.4 10.2 9.7 6.0 9.9 8.1 8.5 5.0 8.7 99.5
A)ALISIS HIDROLOGICO PROYECTO: CUE)CA: AREA DE LA CUE)CA: uente: ESTACIO) CLI,ATICA:
Co*#:ucco* #:+ma + %+o Caoma Cuchumocoya 5.47 E%CO &ACO&AL DE 'EEO%OLOGA (E&A') Lu?ay
!RECI!I"ACION MEDIA MEN#$AL
) m m 20.0 ( s e n o i c 18.0 a t i p i c e r 16.0 !
) m m ( s e n o i c a t i p i c e r !
PRECIPITACIO)ES ,A4I,AS E) +* Hrs& ;mm< PERIODO I)OR,ADO: 19952014 PERIODO UTILI/ADO: 19952014
!RECI!I"ACION MAIMA AN$AL EN &' ORA# 50.0
45.0
40.0
35.0 14.0
30.0 12.0
25.0 10.0
20.0 8.0
15.0 6.0
10.0 4.0 5.0 2.0 0.0 0.0 ENE
FEB
MAR
ABR
MA!
JUN
Meses
JUL
AGO
SEP
OCT
NOV
DIC
5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 9 9 9 9 9 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 9 9 9 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
Años
A)ALISIS HIDROLOGICO PROYECTO: Construccion Sistema de Riego Cairoma CALCULO DE COEICIE)TES DE LLU9IA ,A4I,A PARADIERE)TES PERIODOS DE RETOR)O
/%OCED'E&O E. $. CULM /%OLE' & A//LED /%OALDAD E& AE A LOG /EA%O& -/E D%UO& -D%OLOG CO&E%O& LLUA DA%A A LLUA E& 24 O%A
) -n.
A5O
% + " * ' 6 3 0 %# %% %+ %" %* %' %6 % %3 %0 +#
1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015
TOTALES
LLU9IA ,A4I,A DIARIA -mm. 35.2 47.5 46.8 39.8 39.3 30.5 38.1 31.2 33.6 48.6 27.4 27.3 27.4 21.5 19.3 20.4 19.5 19.5 19.5 20.5
LLU9IA ,A4I,A E) +* Fr Pi -mm. 39.8 53.7 52.9 45.0 44.4 34.5 43.1 35.3 38.0 54.9 31.0 30.8 31.0 24.3 21.8 23.1 22.0 22.0 22.0 23.2
612.90
692.58
'+a*
34.6
LogPi
LogPi1LogP
1.60 1.73 1.72 1.65 1.65 1.54 1.63 1.55 1.58 1.74 1.49 1.49 1.49 1.39 1.34 1.36 1.34 1.34 1.34 1.36
0.08248 0.21263 0.20618 0.13582 0.13033 0.02024 0.11686 0.03009 0.06228 0.22257 0.02631 0.02790 0.02631 0.13162 0.17851 0.15443 0.17403 0.17403 0.17403 0.15231
30.34 U'(Lo/) 30.34283 Lo /
1.51714
LogPi1LogP.+
-Log
0.00680 0.04521 0.04251 0.01845 0.01699 0.00041 0.01366 0.00091 0.00388 0.04954 0.00069 0.00078 0.00069 0.01733 0.03186 0.02385 0.03029 0.03029 0.03029 0.02320
.000.000000000004
0.38761
FAF Lo : D+<
%&%"
!o/
0.38761
FF
0.14283
FCF
Log Coe SeJ K OR,ULAS: 1.
Lo m+a*
Lo /
2.
Lo : D+<
!o/
3.
Lo Co+J k+K
!o/
U'(Lo /)"& U'(Lo/Lo/)H2 I% &1 &U'(Lo/Lo/)H3 (&1)(&2)(!o/)H3
FAF &1 FF FCF
Pdiaria
i1LogP." 0.00056 0.00961 0.00877 0.00251 0.00221 0.00001 0.00160 0.00003 0.00024 0.01103 0.00002 0.00002 0.00002 0.00228 0.00569 0.00368 0.00527 0.00527 0.00527 0.00353 0.00550 0.11006 0.99651 #&%%#*'
A)ALISIS HIDROLOGICO PROYECTO: Construccion Sistema de Riego Cairoma DETER,I)ACIO) DEL COEICIE)TE (( PARA LOG PEARSO) $UE&E /%OLE' & A//LED -D%OLOG- (E.$. chu!=)
Coe&SeJ -g2ogP.
I)TER9ALO DE RECURRE)CIA E) A5OS %# +' '# %## +## PRO7A7ILIDAD PORCE)TUAL DE OCURRE)CIA %# * + % #&'
+
'
'#
+#
"&# +&' +&+ +&# %&3 %&6 %&* %&+ %&# #&0 #&3 #& #&%%#* #&6 #&' #&*
0.396 0.360 0.330 0.307 0.282 0.254 0.225 0.195 0.164 0.148 0.132 0.116 1#&#%6 0.099 0.083 0.066
0.420 0.518 0.574 0.609 0.643 0.675 0.705 0.732 0.758 0.769 0.780 0.790 #&3*0 0.800 0.808 0.816
1.180 1.250 1.284 1.302 1.318 1.329 1.337 1.340 1.340 1.339 1.336 1.333 %&"#* 1.328 1.323 1.317
2.278 2.262 2.240 2.219 2.193 2.163 2.128 2.087 2.043 2.018 1.998 1.967 %&3#+ 1.939 1.910 1.880
3.152 3.048 2.970 2.912 2.848 2.780 2.706 2.626 2.542 2.489 2.453 2.407 +&%+* 2.359 2.311 2.261
4.051 3.845 3.705 3.605 3.499 3.388 3.271 3.149 3.022 2.957 2.891 2.824 +&*% 2.755 2.686 2.615
#&" #&+ #&% #&# 1#&% 1#&+ 1#&" #&%%#* 1#&* 1#&' 1#&6 1#& 1#&3 1#&0 1%&# 1%&+ 1%&* 1%&6 1%&3 1+&# 1+&+ 1+&' 1"&#
0.050 0.033 0.017 0.000 0.017 0.033 0.050 #&#** 0.066 0.083 0.099 0.616 0.132 0.148 0.164 0.195 0.225 0.254 0.282 0.307 0.330 0.360 0.396
0.824 0.830 0.836 0.842 0.846 0.850 0.853 #&3'+ 0.855 0.856 0.857 0.857 0.856 0.854 0.852 0.844 0.832 0.817 0.799 0.777 0.752 0.711 0.636
1.309 1.301 1.292 1.282 1.270 1.258 1.245 %&+'# 1.231 1.216 1.200 1.183 1.166 1.147 1.128 1.086 1.041 0.994 0.945 0.895 0.844 0.771 0.660
1.849 1.818 1.785 1.751 1.716 1.680 1.643 %&6' 1.606 1.567 1.528 1.488 1.448 1.407 1.366 1.282 1.198 1.116 1.035 0.959 0.888 0.793 0.666
2.211 2.159 2.107 2.054 2.000 1.945 1.890 %&0%% 1.834 1.777 1.720 1.663 1.606 1.549 1.492 1.379 1.270 1.166 1.069 0.980 0.900 0.798 0.666
2.544 2.472 2.400 2.326 2.252 2.178 2.104 +&%"+ 2.029 1.955 1.880 1.806 1.733 1.660 1.588 1.449 1.318 1.197 1.087 0.990 0.905 0.799 0.667
'##
%###
#&+
#&%
4.970 4.652 4.444 4.298 4.147 3.990 3.828 3.661 3.489 3.401 3.312 3.223 +&63 3.132 3.041 2.949
6.110 5.626 5.322 5.104 4.904 4.690 4.469 4.241 4.015 3.898 3.781 3.664 +&063 3.546 3.428 3.310
7.250 6.600 6.200 5.910 5.660 5.390 5.110 4.820 4.540 4.395 4.250 4.105 "&+'# 3.960 3.815 3.670
2.856 2.763 2.670 2.576 2.482 2.388 2.209 +&+%+ 2.201 2.108 2.016 1.926 1.837 1.749 1.664 1.501 1.351 1.216 1.097 0.995 0.907 0.800 0.667
3.191 3.072 2.953 2.833 2.716 2.599 2.442 +&*60 2.371 2.254 2.146 2.038 1.936 1.830 1.732 1.563 1.408 1.248 1.114 0.998 0.909 0.801 0.668
3.525 3.380 3.235 3.090 2.950 2.810 2.675 +&+' 2.540 2.400 2.275 2.150 2.035 1.910 1.800 1.625 1.465 1.280 1.130 1.000 0.910 0.802 0.668
A)ALISIS HIDROLOGICO PROYECTO : Construccion Sistema de Riego Cairoma CALCULO DE LLU9IAS ,M4I,AS PARA DIERE)TES PERNODOS DE RETOR)O DESAGREGACI) DE PRECIPITACIO)ES ,A4I,AS DE +* HORAS
g2ogP #&%%#*'
S2ogP #&%*+3"
TIE,PO PRO7A7ILIDAD ACTOR DE -trS2ogP. RECURRE)CIA RECURRE)CIA CUR9A SE Tr -Ptr. -tr. ;S2ogP-".< -aos. -. -taB2as. -%. -+. -". -*.
LogP %&'%%*
C #&+3
A -m+. '&*
LogPtr
PRECIPIT&
% H de +* H
6 H de +* H
%+ H de +* H
;=tr@-CA.< -mm.
-'.
L2uia mQima diaria Ptr ;Anti2og-'.< -mm. -6.
;< #&** -mm.
;< #&+ -mm.
;< #&36 -mm.
;LogP -*.<
DESAGREGACIO) DE PRECIPITACIO)ES ,A4I,AS DE +* HORAS TIE,PO DE PRECIPITACIO)
+
50.00
0.04403
0.00629
1.52343
33.4
0.02179
0.010
0.016
0.019
'
20.00
0.85225
0.12173
1.63887
43.5
0.02843
0.013
0.020
0.024
%#
10.00
1.25022
0.17857
1.69571
49.6
0.03240
0.014
0.023
0.028
+'
4.00
1.65681
0.23664
1.75378
56.7
0.03704
0.016
0.027
0.032
'#
+&##
%&0%#0#
#&++0"
%&0##
6%&
#&#*#+
#&#%3
#&#+0
#&#"'
%##
1.00
2.13199
0.30451
1.82165
66.3
0.04330
0.019
0.031
0.037
+##
0.50
2.21199
0.31594
1.83308
68.1
0.04446
0.020
0.032
0.038
'##
#&+#
+&*6363
#&"'+6#
%&360*
*&%
#&#*3"
#&#+%
#&#"'
#&#*+
%###
0.10
2.72537
0.38926
1.90641
80.6
0.05263
0.023
0.038
0.045
A)ALISIS HIDROLOGICO PROYECTO : HIDROGRA,A
Construccion Sistema de Riego Cairoma 'EODO DEL OL CO&E%AO& E%CE &E 4 -D%OLOG- Ca>. 21 D+#* yoa>h# >.21.49 a 21.59 (1972)
&$L%ACN& /OE&CAL, (mm) E'/O DE CO&CE&%ACO&, c (m*) ECO%%E&A, I (mm) CAUDAL U&A%O /CO E'/O AL /CO DEL D%OG%A'A, > (h)
(1000"C&)10 c (L 0,8(P1)0,7"1900)( #0,5"0,6) I (/0.2)H2"(/P0.8) S> 484TA"> +< > 0,7 c %3*%'* m 3320 m 50 a@o#
LO&GUD DE %ECO%%DO D$E%E&CA DE ALU%A /E%ODO DE %EO%&O /E&DE&E, # A%EA DE LA CUE&CA, A &U'E%O DE CU%A, C& /%EC/ACO&, / &$L%ACN& /OE&CAL, $A'LA DE D%OG%A'A (#+;* !!u<a / y &Q C&) E'/O DE CO&CE&%ACO&, c (h) $ACO% &Q CU%A C& (100010C&)"C& ECO%%E&A, I (/0.2) 2"(/P0.8) DU%ACO& DEL ECEO DE /%EC/ACO&, o (h) E'/O AL /CO DEL D%OG%A'A, > (h) o"> (CALCULADO) o"> (CO%%EGDO) E'/O %E. AL /CO DEL D%OG%A'A, > +< (h) CAUDAL U&A%O /CO, S> CAUDAL /CO I(S>) )o
t@T
1
0.00 . 0.56 0.84 1.12 . 1.68 1.96 2.24 2.52 2.80 3.08 3.36 3.64 3.92 4.20 4.48 4.76 5.04 5.32 5.60 5.88
3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 . s @ " H m L A D U A C
604025 10890 50 1.80 2.11 70.00 0.00 4.3 &R 4 31.80
5.47 km2 0.03 mm
1908.04 m* 4.3EP00 5.4 mm
0.21 +&## 22.26 0.09 %&## 2.00 511.3 109.2
14.5 m3"#+ 3.1 m3"#+ t Frs
Vc@V
0.00 . 1.12 1.68 2.24 . 3.36 3.92 4.48 5.04 5.60 6.16 6.72 7.28 7.84 8.40 8.96 9.52 10.08 10.64 11.20 11.76
= cs
0.000 . 0.220 0.490 0.738 . 0.751 0.573 0.392 0.259 0.174 0.118 0.079 0.053 0.036 0.025 0.017 0.011 0.006 0.003 0.001 0.000
0.000 . 24.033 53.528 80.619 . 82.039 62.595 42.822 28.293 19.008 12.890 8.630 5.790 3.933 2.731 1.857 1.202 0.655 0.328 0.109 0.000
>+# >+# a@o# m2 >! >! h >! h h
h >3"#+ >3"#+ = m"@s
0.000 . 0.681 1.517 2.285 . 2.325 1.774 1.214 0.802 0.539 0.365 0.245 0.164 0.111 0.077 0.053 0.034 0.019 0.009 0.003 0.000
HIDROGRA,A DE CRECIDAS
3.000 &*+,
2.500
2.000
1.500
6
2.569
1.000
0.500
0.000 0
1
2
3
4
5
6
7
8
9
10
11
12 13 14 TIE,PO 15 16 -HORAS. 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
AL,ACE)A,IE)TO ACTUAL Y UTURO PROYECTO: Construccion Sistema de Riego Cairoma CUR9AS ALTURA1AREA Y ALTURA19OLU,E) COTA
*%0*&"# 4194.48 *%0*&6' 4194.98 4195.32 4195.65 4195.98 4196.32 *%06&6'
AREA
AREA ,EDIA -,+.
9OLU,E) ,EDIO -,".
*#+*&*+ 4078.93
0.18
713.81
4187.96
0.18
732.89
4359.41
0.33
1453.14
4593.28
0.33
1531.09
4827.15
0.33
1609.05
5061.02
0.33
1687.01
5294.89
0.33
1764.96
5528.75
0.33
1842.92
5684.67
0.11
6"%&6"
4133.45 *+*+&*3 4476.35 4710.22 4944.08 5177.95 5411.82 '6*'&60
4196.76
5723.65
4196.87
5801.60
4196.98
5879.56
*%0�
'0'&'%
4197.21
6035.47
4197.32
6113.43
4197.43
6191.38
4197.54
6269.34
*%0&6'
6"*&+0
5762.62 5840.58 5918.54 5996.49 6074.45 6152.40 6230.36 6308.32
T O T A L
DISTA)CIA -,.
0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11
9OLU,E) ACU,ULADO -,".
ALTURA -,.
9OLU,E) UTIL -,".
0.0
0.00
713.8
0.18
713.8
%**6&
#&"'
%**6&
2899.8
0.68
4430.9
1.02
6040.0
1.35
7727.0
1.68
9492.0
2.02
%%""*&0
+&"'
11966.5
2.46
12606.8
2.57
13255.7
2.68
%"0%"&*
+&0
14579.6
2.91
15254.6
3.02
15938.2
3.13
16630.4
3.24
%""%&*
3.35
0333&+ 631.63
6*#&+0
1271.92
6*3&0'
1920.87
6'&6+
2578.49
666.28
3244.77
674.94
3919.71
683.60
4603.31
692.26
5295.57
700.92
%""%&"
AL,ACE)& CRECIDAS -,".
5996.49 '006&'
AL,ACE)A,IE)TO ACTUAL Y UTURO PROYECTO: Construccion Sistema de Riego Cairoma CUR9AS ALTURA1AREA Y ALTURA19OLU,E) CA/ACDAD DEL E'ALE OLU'E& UL E'ALE OLU'E& 'UE%O
15,885 %E$ 1,447
%E$ %E$ %E$
CUR9A ALTURA 1 9OLU,E)
. m n *%03&## s m A R *%0&## U T L A
*%06&6'
*%06&##
*%0'&##
*%0*&##
*%0"&##
*%0+&## # # &
# # & # # +
# # & # # *
# # & # # 6
# # & # # 3
# # & # # # %
# # & # # + %
# # & # # * %
# & # # # 6 %
# & # # # 3 %
# & # # # # +
9OLU,E) -,".
CUR9A ALTURA 1 AREA
. m n s *%03&## m A R U T L A
*%0&'#
*%0&##
*%06&'#
*%06&##
*%0'&'#
*%0'&## # # # & # # '
# # # & # + '
# # # & # ' *
# # # & # 6 '
# # # & # 3 '
AREA -,+.
# # # & # # 6
# # # & # + 6
# # # & # 6 *
# # # & # 6 6
CUR9A 9OLU,E) AL,ACE)ADO 1 DESCARGA PROYECTO: Construccion Sistema de Riego Cairoma 7ASADO E) EL LI7RO (APPLIED HYDROLOGY( de 9&T& CHO et a2& ,cGraJ Hi22 %033& Pag +*0 COTA 9ERTEDERO 9OLU,E) 9ERTEDERO COTA CERO 9OLU,E) COEICIE)TE DE DESCARGA LO)GITUD 9ERTEDERO LO)GITUD EECTI9A I)TER9ALO DE TIE,PO -Fr.
COTA
ALTURA (H( m
m 4196.65 4196.76 4196.87 4196.98 4197.09 4197.21 4197.32 4197.43 4197.54 4197.65
CAUDAL (=( m"@s 2.35 2.46 2.57 2.68 2.79 2.91 3.02 3.13 3.24 3.35
-+S@t =. m"@s
4.00
. g e 3.50 s @ " m K = 2 a d 3.00 u a C
*?%06&6' 0?333&% *?%0*&"# +&+ +&## %&# #&+3
AL,ACE)A,IE)TO (S( m" 0.00 631.63 1271.92 1920.87 2578.49 3244.77 3919.71 4603.31 5295.57 5996.49
0.00 0.14 0.39 0.72 1.11 1.55 2.04 2.57 3.13 3.74
m m" m m m Fr
-+S@t =. m"@s 0.00 1.39 2.92 4.53 6.22 7.99 9.81 11.70 13.64 15.64
Cauda2 PARA TRA)SITO AL,ACE)A,IE)TO (=( m"@s # #&## % #&%* " #&"0 ' #&+ 6 %&%% 3 %&'' %# +&#* %+ +&' %* "&%" %6 "&*
2.50
2.00
1.50
1.00
0.50
0.00 0
1
3
5
6
8
unciWn de TrQnsito
10
12
14
16
HIDROGRA,AS DE E)TRADA Y DE SALIDA -APORTES DISGREGADOS. ,ETODO DEL E,7ALSE A )I9EL PROYECTO: Construccion Sistema de Riego Cairoma 7ASADO E) EL LI7RO (APPLIED HYDROLOGY( de 9&T& CHO et a2& ,cGraJ Hi22 %033& Pag +*0 DURACIO) DEL E9E)TO 6 HORAS Y PERIODO DE RETOR)O '## A5OS COTA I)ICIAL )I9EL DE AGUA -m. *%06&6'
I)TER9ALO #&+3 Fr -%. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
TIE,PO Fr -+. 0.000 0.560 1.120 1.680 2.240 2.800 3.360 3.920 4.480 5.040 5.600 6.160 6.720 7.280 7.840 8.400 8.960 9.520 10.080 10.640 11.200 11.760 0.000 0.000 0.000 0.000
-+S@t =. m"@s 0 1 3 5 6 8 10 12 14 16
Tiemo t -Fr.
. 3.0000 g e s @ " m K = - 2.5000 2 a d u a C
2.0000
1.5000
1.0000
0.5000
0.0000 0
0 0.56 1.12 1.68 2.24 2.80 3.36 3.92 4.48 5.04 5.60 6.16 6.72 7.28 7.84 8.40 8.96 9.52 10.08 10.64 11.20 11.76 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 20.00 0.00
Cauda2 (=( m"@s 0.00 0.14 0.39 0.72 1.11 1.55 2.04 2.57 3.13 3.74
idrogram Entrada =Km"@seg. 0.00 0.16 0.68 1.52 2.28 2.57 2.32 1.77 1.21 0.80 0.54 0.37 0.24 0.16 0.11 0.08 0.05 0.03 0.02 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
4
HIDROGRA,A E)TRADA? IX m"@s -". 0.000 0.158 0.681 1.517 2.285 2.569 2.325 1.774 1.214 0.802 0.539 0.365 0.245 0.164 0.111 0.077 0.053 0.034 0.019 0.009 0.003 0.000 0.000 0.000 0.000 0.000
-IX IX%. m"@s -*. 0.16 0.84 2.20 3.80 4.85 4.89 4.10 2.99 2.02 1.34 0.90 0.61 0.41 0.28 0.19 0.13 0.09 0.05 0.03 0.01 0.00 0.00 0.00 0.00 0.00 0.00
Hidrograma Sa2ida TRA)SITO -=Km"@seg. 0.00 0.02 0.10 0.30 0.62 0.98 1.27 1.42 1.43797 1.35231 1.22 1.06 0.91 0.77 0.65 0.54 0.44 0.36 0.30 0.24 0.19 0.16 0.12 0.10 0.08 0.06 0.05 0.04 0.03 0.03 0.02 0.02 0.01 0.01 0.01 0.01 0.01 0.00 0.00 0.00 0.00
-+SX@t 1 =X. -+SX%@t =X%. m"@s m"@s -'. -6. 0.00 0.13 0.16 0.77 0.97 2.38 2.97 4.95 6.18 7.85 9.80 10.21 12.75 11.46 14.31 11.57 14.45 10.88 13.59 9.79 12.22 8.57 10.69 7.35 9.18 6.21 7.76 5.20 6.49 4.31 5.39 3.56 4.44 2.92 3.65 2.38 2.97 1.93 2.41 1.56 1.94 1.25 1.56 1.00 1.25 0.80 1.00 0.64 0.80 0.51 0.64 0.41 0.51
Coe& Descarga Long& 9ertedero Long& Eectia
+&+# +&## %&#
HIDROGRA,A SALIDA? =X m"@s -.
COTA 9ERTEDERO -m. -3.
0.02 0.10 0.30 0.62 0.98 1.27 1.42 1.44 1.35 1.22 1.06 0.91 0.77 0.65 0.54 0.44 0.36 0.30 0.24 0.19 0.16 0.12 0.10 0.08 0.06 0.05
0.05 0.09 0.18 0.30 0.41 0.49 0.53 0.53 0.51 0.47 0.43 0.39 0.35 0.31 0.27 0.24 0.21 0.18 0.16 0.14 0.12 0.10 0.09 0.08 0.07 0.06
DE A9E)IDAS +&' %&** +&3### *&*3##
+&'60* %&*"3#
+&'60 m"@seg %&*"3 m"@seg
+&3 *&*3
D%OG%A'ADE E&%ADA D%OG%A'ADE ALDA 2.569m3"#+ 1.438m3"#+
6
Tiemo -tKForas.
8
10
12
14
