Rio Viru

Caudal Maximo
Tiempo
Id Máximo anual
Año m3/s
1 1950 20.80
2 1951 30.00
3 1952 50.00
4 1953 40.00
5 1954 32.00
6 1955 36.60
7 1956 88.00
8 1957 80.00
9 1958 74.00
10 1959 40.00
11 1960 128.00
12 1961 20.16
13 1962 122.50
14 1963 138.00
15 1964 19.20
16 1965 48.58
17 1966 7.78
18 1967 200.00
19 1968 12.00
20 1969 28.80
21 1970 172.80
22 1971 48.00
23 1972 200.00
24 1973 51.70
25 1974 12.80
26 1975 110.00
27 1976 15.00
28 1977 45.60
29 1978 8.00
30 1979 38.00
31 1980 15.00
32 1981 110.00
33 1982 10.00
34 1983 120.00
35 1984 100.00
36 1985 6.00
37 1986 15.00
38 1987 35.00
39 1988 25.60
40 1989 40.00
41 1990 7.00
42 1991 10.00
43 1992 5.60
44 1993 40.00
45 1994 16.00
46 1995 8.32
47 1996 48.00
48 1997 40.00
49 1998 380.00
50 1999 102.70
51 2000 36.26
52 2001 44.65
53 2002 35.00
54 2003 14.90
55 2004 19.50
56 2005 17.50
57 2006 40.50
58 2007 42.50
59 2008 38.50
60 2009 28.60
61 2010 14.70
62 2011 29.50
63 2012 29.00
64 2013 45.00
65 2014 25.20
66 2015 74.33
67 2016 24.50
68 2017 90.00
 Rio Viru PERIODO DE RETORNO: T

Caudal Maximo
Tiempo
Id Máximo anual
Año m3/s
1 1950 20.80
2 1951 30.00 Para Q >= 100 m3/s
3 1952 50.00
4 1953 40.00
5 1954 32.00 Año 1960 1962
6 1955 36.60 Caudal (m /s)
3
320 122.5
7 1956 88.00 I.R.A. 128 2 1
8 1957 80.00 Id 1 2
9 1958 74.00
10 1959 40.00
11 1960 128.00
12 1961 20.16
13 1962 122.50
14 1963 138.00
15 1964 19.20 Para Q >= 200 m3/s
16 1965 48.58
17 1966 7.78 Año 1967 1972
18 1967 200.00 Caudal (m /s)
3
384 380
19 1968 12.00 I.R.A. 5 26
20 1969 28.80 Id 1 1
21 1970 172.80
22 1971 48.00
23 1972 200.00
24 1973 51.70 Para Q >= 400 m3/s
25 1974 12.80
26 1975 110.00
27 1976 15.00
28 1977 45.60
29 1978 8.00
30 1979 38.00
31 1980 15.00
32 1981 110.00
33 1982 10.00
34 1983 120.00
35 1984 100.00
36 1985 6.00
37 1986 15.00
38 1987 35.00
39 1988 25.60
40 1989 40.00
41 1990 7.00
42 1991 10.00
43 1992 5.60
44 1993 40.00
45 1994 16.00
46 1995 8.32
47 1996 48.00
48 1997 40.00
49 1998 380.00
50 1999 102.70
51 2000 36.26
52 2001 44.65
53 2002 35.00
54 2003 14.90
55 2004 19.50
56 2005 17.50
57 2006 40.50
58 2007 42.50
59 2008 38.50
60 2009 28.60
61 2010 14.70
62 2011 29.50
63 2012 29.00
64 2013 45.00
65 2014 25.20
66 2015 74.33
67 2016 24.50
68 2017 90.00
1963 1967 1970 1972 1975 1981
138 200 172.8 200 110 110
4 3 2 3 6 2
3 4 5 6 7 8

1998
380
S I.R.A. 31 T 15.5 ¡ Muy pocos datos !
# I.R.A. 2

T= 15.5 años

No hay datos
1983 1984 1998 1999
120 100
1 14 1 S I.R.A. 39
9 10 11 # I.R.A. 11

T= 3.5 años
 Caudal Funcion Distribucion Probabilidad
Maximo Anual Empirica: Weibull Teorica: Normal
Id
Q
Z F(M) F(Q)
m3/s
1 5.60 -0.8088 0.0145 0.20932
2 6.00 -0.8021 0.0290 0.2112
3 7.00 -0.7856 0.0435 0.2161
4 7.78 -0.7727 0.0580 0.2199
5 8.00 -0.7690 0.0725 0.2209
6 8.32 -0.7637 0.0870 0.2225
7 10.00 -0.7359 0.1014 0.2309
8 10.00 -0.7359 0.1159 0.2309
9 12.00 -0.7028 0.1304 0.2411
10 12.80 -0.6896 0.1449 0.2452
11 14.70 -0.6581 0.1594 0.2552
12 14.90 -0.6548 0.1739 0.2563
13 15.00 -0.6531 0.1884 0.2568
14 15.00 -0.6531 0.2029 0.2568
15 15.00 -0.6531 0.2174 0.2568
16 16.00 -0.6366 0.2319 0.2622
17 17.50 -0.6118 0.2464 0.2703
18 19.20 -0.5836 0.2609 0.2797
19 19.50 -0.5786 0.2754 0.2814
20 20.16 -0.5677 0.2899 0.2851
21 20.80 -0.5571 0.3043 0.2887
22 24.50 -0.4959 0.3188 0.3100
23 25.20 -0.4843 0.3333 0.3141
24 25.60 -0.4777 0.3478 0.3164
25 28.60 -0.4280 0.3623 0.3343
26 28.80 -0.4247 0.3768 0.3355
27 29.00 -0.4214 0.3913 0.3367
28 29.50 -0.4131 0.4058 0.3398
29 30.00 -0.4048 0.4203 0.3428
30 32.00 -0.3717 0.4348 0.3551
31 35.00 -0.3220 0.4493 0.3737
32 35.00 -0.3220 0.4638 0.3737
33 36.26 -0.3012 0.4783 0.3816
34 36.60 -0.2955 0.4928 0.3838
35 38.00 -0.2724 0.5072 0.3927
36 38.50 -0.2641 0.5217 0.3959
37 40.00 -0.2393 0.5362 0.4055
38 40.00 -0.2393 0.5507 0.4055
39 40.00 -0.2393 0.5652 0.4055
40 40.00 -0.2393 0.5797 0.4055
41 40.00 -0.2393 0.5942 0.4055
 42 40.50 -0.2310 0.6087 0.4087
43 42.50 -0.1979 0.6232 0.4216
44 44.65 -0.1623 0.6377 0.4355
45 45.00 -0.1565 0.6522 0.4378
46 45.60 -0.1465 0.6667 0.4417
47 48.00 -0.1068 0.6812 0.4575
48 48.00 -0.1068 0.6957 0.4575
49 48.58 -0.0972 0.7101 0.4613
50 50.00 -0.0737 0.7246 0.4706
51 51.70 -0.0455 0.7391 0.4818
52 74.00 0.3236 0.7536 0.6269
53 74.33 0.3291 0.7681 0.6290
54 80.00 0.4230 0.7826 0.6638
55 88.00 0.5554 0.7971 0.7107
56 90.00 0.5885 0.8116 0.7219
57 100.00 0.7541 0.8261 0.7746
58 102.70 0.7988 0.8406 0.7878
59 110.00 0.9197 0.8551 0.8211
60 110.00 0.9197 0.8696 0.8211
61 120.00 1.0852 0.8841 0.8611
62 122.50 1.1266 0.8986 0.8700
63 128.00 1.2177 0.9130 0.8883
64 138.00 1.3832 0.9275 0.9167
65 172.80 1.9594 0.9420 0.9750
66 200.00 2.4097 0.9565 0.9920
67 200.00 2.4097 0.9710 0.9920
68 380.00 5.3897 0.9855 1.0000

Promedio 54.451
Des Estandar 60.402
 F(m) vs F(Q)
0.2093
0.2112 1
0.2161
0.9
0.2199
0.2209 0.8
0.2225
0.7
0.2309
0.2309 0.6
0.2411
0.2452 0.5
0.2552
0.4
0.2563
0.2568 0.3
0.2568
0.2
0.2568
0.2622 0.1
0.2703
0.2797 0
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
0.2814
0.2851
0.2887 0 0
0.3100 1 1
0.3141
0.3164
0.3343 Fm vs Q
0.3355
0.3367 1.2000
0.3398
0.3428
1.0000
0.3551
0.3737
0.3737
0.8000
0.3816
0.3838
0.3927 0.6000
Fm

0.3959
0.4055
0.4055 0.4000
0.4055
0.4055
0.4055 0.2000

0.0000
0.00 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00
 0.4000

0.2000
0.4087
0.4216
0.4355 0.0000
0.00 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00
0.4378
0.4417 Q
0.4575
0.4575
0.4613
0.4706
0.4818
0.6269
0.6290
0.6638
0.7107
0.7219
0.7746
0.7878
0.8211
0.8211
0.8611
0.8700
0.8883
0.9167
0.9750
0.9920
0.9920
1.0000
 Kolmogorov - Smirnov

D Calculado
0.1948
0.1822
0.1726
0.1619
0.1485
0.1356
0.1294
0.1149
0.1107
0.1003
0.0958
0.0824
0.0684
0.0539
0.0394
0.0303
0.0240
0.0189
0.0061
0.0047
0.0156
0.0088
0.0192
0.0314
0.0280
0.0413
0.0546
0.0660
0.0775
0.0797
0.0756
0.0901
0.0966
0.1090
0.1146
0.1259
0.1308
0.1453
0.1598
0.1743
0.1887

00 400.00
 0.2000
0.2016
0.2021
00 400.00
0.2143
0.2249
0.2237
0.2382
0.2489
0.2540
0.2573
0.1267
0.1392
0.1188
0.0864
0.0897
0.0515
0.0528
0.0339
0.0484
0.0230
0.0285
0.0247
0.0108
0.0329
0.0355
0.0210
0.0145

Maximo D calculado 0.2573

D tabla 0.162.4 No se ajusta Normal a Qmax del rio Viru
 Caudal Funcion Distribucion Probabilidad
Maximo Anual Empirica: Weibull Teorica: Normal
Id
Q Ln [Q]
Z F(M) F(Ln Q)
m3/s m3/s
1 5.60 1.723 -1.987 0.0145 0.0235
2 6.00 1.792 -1.912 0.0290 0.0279
3 7.00 1.946 -1.746 0.0435 0.0404
4 7.78 2.052 -1.632 0.0580 0.0513
5 8.00 2.079 -1.602 0.0725 0.0545
6 8.32 2.119 -1.560 0.0870 0.0594
7 10.00 2.303 -1.362 0.1014 0.0866
8 10.00 2.303 -1.362 0.1159 0.0866
9 12.00 2.485 -1.165 0.1304 0.1219
10 12.80 2.549 -1.096 0.1449 0.1365
11 14.70 2.688 -0.947 0.1594 0.1719
12 14.90 2.701 -0.932 0.1739 0.1756
13 15.00 2.708 -0.925 0.1884 0.1775
14 15.00 2.708 -0.925 0.2029 0.1775
15 15.00 2.708 -0.925 0.2174 0.1775
16 16.00 2.773 -0.856 0.2319 0.1961
17 17.50 2.862 -0.759 0.2464 0.2239
18 19.20 2.955 -0.659 0.2609 0.2549
19 19.50 2.970 -0.642 0.2754 0.2603
20 20.16 3.004 -0.607 0.2899 0.2721
21 20.80 3.035 -0.573 0.3043 0.2834
22 24.50 3.199 -0.396 0.3188 0.3459
23 25.20 3.227 -0.366 0.3333 0.3572
24 25.60 3.243 -0.349 0.3478 0.3635
25 28.60 3.353 -0.230 0.3623 0.4092
26 28.80 3.360 -0.222 0.3768 0.4121
27 29.00 3.367 -0.215 0.3913 0.4150
28 29.50 3.384 -0.196 0.4058 0.4222
29 30.00 3.401 -0.178 0.4203 0.4293
30 32.00 3.466 -0.109 0.4348 0.4567
31 35.00 3.555 -0.012 0.4493 0.4952
32 35.00 3.555 -0.012 0.4638 0.4952
33 36.26 3.591 0.026 0.4783 0.5104
34 36.60 3.600 0.036 0.4928 0.5144
35 38.00 3.638 0.076 0.5072 0.5305
36 38.50 3.651 0.091 0.5217 0.5361
37 40.00 3.689 0.132 0.5362 0.5524
38 40.00 3.689 0.132 0.5507 0.5524
39 40.00 3.689 0.132 0.5652 0.5524
40 40.00 3.689 0.132 0.5797 0.5524
41 40.00 3.689 0.132 0.5942 0.5524
 42 40.50 3.701 0.145 0.6087 0.5577
43 42.50 3.750 0.197 0.6232 0.5781
44 44.65 3.799 0.250 0.6377 0.5988
45 45.00 3.807 0.259 0.6522 0.6020
46 45.60 3.820 0.273 0.6667 0.6075
47 48.00 3.871 0.328 0.6812 0.6286
48 48.00 3.871 0.328 0.6957 0.6286
49 48.58 3.883 0.341 0.7101 0.6335
50 50.00 3.912 0.372 0.7246 0.6451
51 51.70 3.945 0.408 0.7391 0.6584
52 74.00 4.304 0.795 0.7536 0.7866
53 74.33 4.309 0.799 0.7681 0.7880
54 80.00 4.382 0.879 0.7826 0.8102
55 88.00 4.477 0.981 0.7971 0.8368
56 90.00 4.500 1.005 0.8116 0.8427
57 100.00 4.605 1.119 0.8261 0.8684
58 102.70 4.632 1.148 0.8406 0.8745
59 110.00 4.700 1.222 0.8551 0.8891
60 110.00 4.700 1.222 0.8696 0.8891
61 120.00 4.787 1.315 0.8841 0.9058
62 122.50 4.808 1.338 0.8986 0.9095
63 128.00 4.852 1.385 0.9130 0.9170
64 138.00 4.927 1.466 0.9275 0.9287
65 172.80 5.152 1.708 0.9420 0.9562
66 200.00 5.298 1.866 0.9565 0.9690
67 200.00 5.298 1.866 0.9710 0.9690
68 380.00 5.940 2.557 0.9855 0.9947

Promedio 54.45 3.567

Des Estandar 60.40 0.928
0.0235 F(m) vs F(Q)
0.0279 1
0.0404
0.0513 0.9
0.0545
0.8
0.0594
0.0866 0.7
0.0866
0.6
0.1219
0.1365 0.5
0.1719
0.1756 0.4
0.1775
0.3
0.1775
0.1775 0.2
0.1961
0.1
0.2239
0.2549 0
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
0.2603
0.2721
0.2834 0 0
0.3459 1 1
0.3572
0.3635 Fm vs Q
0.4092
7.000
0.4121
0.4150
0.4222 6.000
0.4293
0.4567
5.000
0.4952
0.4952
0.5104 4.000
0.5144
Ln [Q]

0.5305 3.000
0.5361
0.5524
0.5524 2.000

0.5524
0.5524 1.000
0.5524

0.000
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.0000

Fm y FQ
 2.000

1.000

0.5577
0.000
0.5781 0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.0000
0.5988 Fm y FQ
0.6020
0.6075
0.6286
0.6286
0.6335
0.6451
0.6584
0.7866
0.7880
0.8102
0.8368
0.8427
0.8684
0.8745
0.8891
0.8891
0.9058
0.9095
0.9170
0.9287
0.9562
0.9690
0.9690
0.9947
Kolmogorov - Smirnov

D Calculado
0.0090
0.0011
0.0031
0.0067
0.0179
0.0276
0.0148
0.0293
0.0085
0.0084
0.0124
0.0017
0.0109
0.0254
0.0399
0.0358
0.0224
0.0059
0.0150
0.0178
0.0210
0.0271
0.0238
0.0157
0.0468
0.0353
0.0237
0.0164
0.0090
0.0219
0.0459
0.0314
0.0321
0.0216
0.0232
0.0143
0.0162
0.0017
0.0128
0.0273
0.0418
 0.0510
0.0451
0.0389
0.0501
0.0591
0.0525
0.0670
0.0766
0.0795
0.0807
0.0329
0.0198
0.0276
0.0397
0.0311
0.0423
0.0339
0.0340
0.0195
0.0218
0.0109
0.0039
0.0011
0.0142
0.0124
0.0020
0.0092

Maximo D calculado 0.0807

D tabla 0.162.4 Si se ajusta Log Normal a Qmax del rio Viru
 Caudal Funcion Distribucion Probabilidad
Maximo Anual Empirica: Weibull Teorica: Gumbel
Id
Q
F(M) F(Q)
m3/s
1 5.60 0.0145 0.2051
2 6.00 0.0290 0.2079
3 7.00 0.0435 0.2149
4 7.78 0.0580 0.2203
5 8.00 0.0725 0.2219
6 8.32 0.0870 0.2242
7 10.00 0.1014 0.2362
8 10.00 0.1159 0.2362
9 12.00 0.1304 0.2508
10 12.80 0.1449 0.2568
11 14.70 0.1594 0.2709
12 14.90 0.1739 0.2724
13 15.00 0.1884 0.2732
14 15.00 0.2029 0.2732
15 15.00 0.2174 0.2732
16 16.00 0.2319 0.2807
17 17.50 0.2464 0.2922
18 19.20 0.2609 0.3052
19 19.50 0.2754 0.3075
20 20.16 0.2899 0.3126
21 20.80 0.3043 0.3175
22 24.50 0.3188 0.3463
23 25.20 0.3333 0.3517
24 25.60 0.3478 0.3549
25 28.60 0.3623 0.3783
26 28.80 0.3768 0.3798
27 29.00 0.3913 0.3814
28 29.50 0.4058 0.3853
29 30.00 0.4203 0.3892
30 32.00 0.4348 0.4048
31 35.00 0.4493 0.4280
32 35.00 0.4638 0.4280
33 36.26 0.4783 0.4377
34 36.60 0.4928 0.4403
35 38.00 0.5072 0.4510
36 38.50 0.5217 0.4548
37 40.00 0.5362 0.4662
38 40.00 0.5507 0.4662
39 40.00 0.5652 0.4662
40 40.00 0.5797 0.4662
41 40.00 0.5942 0.4662
 42 40.50 0.6087 0.4700
43 42.50 0.6232 0.4850
44 44.65 0.6377 0.5009
45 45.00 0.6522 0.5035
46 45.60 0.6667 0.5079
47 48.00 0.6812 0.5252
48 48.00 0.6957 0.5252
49 48.58 0.7101 0.5294
50 50.00 0.7246 0.5395
51 51.70 0.7391 0.5514
52 74.00 0.7536 0.6902
53 74.33 0.7681 0.6920
54 80.00 0.7826 0.7215
55 88.00 0.7971 0.7593
56 90.00 0.8116 0.7680
57 100.00 0.8261 0.8078
58 102.70 0.8406 0.8175
59 110.00 0.8551 0.8415
60 110.00 0.8696 0.8415
61 120.00 0.8841 0.8697
62 122.50 0.8986 0.8760
63 128.00 0.9130 0.8889
64 138.00 0.9275 0.9091
65 172.80 0.9420 0.9555
66 200.00 0.9565 0.9748
67 200.00 0.9710 0.9748
68 380.00 0.9855 0.9994

Promedio = 54.451
Des Estandar = 60.402

Parametros
a= 47.095
b= 27.268
 F(m) vs F(Q)
1.0000

0.9000

0.8000

0.7000

0.6000

0.5000

0.4000

0.3000

0.2000

0.1000

0.0000
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.0000

0 0
1 1

Fm vs Q
250

200

150

100
Q

50

0
0.0000 0.2000 0.4000 0.6000 0.8000 1.0000 1.2000

-50

-100

Fm
-100

Fm
 Caudal Empirico Kolmogorov - Smirnov

( Q(M) - b ) / a Q (M) D Calculado

-1.4432 -40.6985 0.1906
-1.2644 -32.2791 0.1789
-1.1428 -26.5518 0.1714
-1.0466 -22.0196 0.1624
-0.9650 -18.1768 0.1494
-0.8930 -14.7862 0.1372
-0.8278 -11.7158 0.1348
-0.7676 -8.8840 0.1203
-0.7114 -6.2365 0.1204
-0.6583 -3.7352 0.1118
-0.6077 -1.3520 0.1115
-0.5592 0.9342 0.0985
-0.5123 3.1402 0.0848
-0.4669 5.2789 0.0703
-0.4227 7.3614 0.0558
-0.3795 9.3964 0.0489
-0.3371 11.3916 0.0458
-0.2955 13.3535 0.0443
-0.2544 15.2876 0.0321
-0.2138 17.1990 0.0227
-0.1736 19.0920 0.0132
-0.1337 20.9707 0.0274
-0.0940 22.8387 0.0184
-0.0545 24.6994 0.0070
-0.0151 26.5560 0.0160
0.0243 28.4115 0.0030
0.0637 30.2687 0.0099
0.1032 32.1304 0.0205
0.1429 33.9994 0.0311
0.1828 35.8783 0.0300
0.2230 37.7698 0.0213
0.2635 39.6766 0.0357
0.3044 41.6015 0.0405
0.3457 43.5472 0.0524
0.3875 45.5168 0.0562
0.4299 47.5131 0.0669
0.4729 49.5394 0.0700
0.5166 51.5992 0.0845
0.5612 53.6959 0.0990
0.6066 55.8336 0.1135
0.6529 58.0162 0.1280
0.7003 60.2485 0.1387
0.7489 62.5354 0.1382
0.7987 64.8824 0.1368
0.8499 67.2955 0.1487
0.9027 69.7816 0.1588
0.9572 72.3483 0.1559
1.0136 75.0041 0.1704
1.0721 77.7589 0.1807
1.1329 80.6240 0.1851
1.1964 83.6124 0.1877
1.2628 86.7393 0.0634
1.3325 90.0225 0.0761
1.4060 93.4835 0.0611
1.4838 97.1478 0.0378
1.5666 101.0468 0.0436
1.6552 105.2194 0.0183
1.7506 109.7143 0.0231
1.8543 114.5944 0.0136
1.9678 119.9423 0.0281
2.0937 125.8700 0.0143
2.2352 132.5343 0.0225
2.3972 140.1646 0.0242
2.5873 149.1167 0.0184
2.8181 159.9867 0.0135
3.1134 173.8915 0.0183
3.5263 193.3388 0.0038
4.2268 226.3303 0.0139

Maximo D calculado 0.1906

D tabla 0.162.4 No se ajusta Gumbel a Qmax del rio Viru
mbel a Qmax del rio Viru
 Caudal Funcion Distribucion Probabilidad
Maximo Anual Empirica: Weibull Teorica: Gumbel
Id
Q Ln [Q]
F(M) F(LnQ)
m3/s m3/s
1 5.60 1.72 0.0145 0.0008
2 6.00 1.79 0.0290 0.0015
3 7.00 1.95 0.0435 0.0051
4 7.78 2.05 0.0580 0.0105
5 8.00 2.08 0.0725 0.0125
6 8.32 2.12 0.0870 0.0157
7 10.00 2.30 0.1014 0.0399
8 10.00 2.30 0.1159 0.0399
9 12.00 2.48 0.1304 0.0818
10 12.80 2.55 0.1449 0.1013
11 14.70 2.69 0.1594 0.1509
12 14.90 2.70 0.1739 0.1563
13 15.00 2.71 0.1884 0.1590
14 15.00 2.71 0.2029 0.1590
15 15.00 2.71 0.2174 0.1590
16 16.00 2.77 0.2319 0.1860
17 17.50 2.86 0.2464 0.2262
18 19.20 2.95 0.2609 0.2705
19 19.50 2.97 0.2754 0.2781
20 20.16 3.00 0.2899 0.2946
21 20.80 3.03 0.3043 0.3102
22 24.50 3.20 0.3188 0.3932
23 25.20 3.23 0.3333 0.4074
24 25.60 3.24 0.3478 0.4154
25 28.60 3.35 0.3623 0.4706
26 28.80 3.36 0.3768 0.4740
27 29.00 3.37 0.3913 0.4773
28 29.50 3.38 0.4058 0.4857
29 30.00 3.40 0.4203 0.4938
30 32.00 3.47 0.4348 0.5244
31 35.00 3.56 0.4493 0.5654
32 35.00 3.56 0.4638 0.5654
33 36.26 3.59 0.4783 0.5810
34 36.60 3.60 0.4928 0.5850
35 38.00 3.64 0.5072 0.6011
36 38.50 3.65 0.5217 0.6066
37 40.00 3.69 0.5362 0.6224
38 40.00 3.69 0.5507 0.6224
39 40.00 3.69 0.5652 0.6224
40 40.00 3.69 0.5797 0.6224
41 40.00 3.69 0.5942 0.6224
 42 40.50 3.70 0.6087 0.6274
43 42.50 3.75 0.6232 0.6466
44 44.65 3.80 0.6377 0.6654
45 45.00 3.81 0.6522 0.6683
46 45.60 3.82 0.6667 0.6732
47 48.00 3.87 0.6812 0.6917
48 48.00 3.87 0.6957 0.6917
49 48.58 3.88 0.7101 0.6959
50 50.00 3.91 0.7246 0.7058
51 51.70 3.95 0.7391 0.7170
52 74.00 4.30 0.7536 0.8166
53 74.33 4.31 0.7681 0.8176
54 80.00 4.38 0.7826 0.8336
55 88.00 4.48 0.7971 0.8526
56 90.00 4.50 0.8116 0.8567
57 100.00 4.61 0.8261 0.8749
58 102.70 4.63 0.8406 0.8791
59 110.00 4.70 0.8551 0.8894
60 110.00 4.70 0.8696 0.8894
61 120.00 4.79 0.8841 0.9013
62 122.50 4.81 0.8986 0.9040
63 128.00 4.85 0.9130 0.9093
64 138.00 4.93 0.9275 0.9179
65 172.80 5.15 0.9420 0.9392
66 200.00 5.30 0.9565 0.9500
67 200.00 5.30 0.9710 0.9500
68 380.00 5.94 0.9855 0.9791

Promedio = 3.567
Des Estandar = 0.928

Parametros
a= 0.724
b= 3.149
 F(m) vs F(Q)
1.0000

0.9000

0.8000

0.7000

0.6000

0.5000

0.4000

0.3000

0.2000

0.1000

0.0000
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.0000

0 0
1 1

Fm vs Ln [Q]
7.00

6.00

5.00

4.00
Ln [Q]

3.00

2.00

1.00

0.00
0.0000 0.2000 0.4000 0.6000 0.8000 1.0000 1.2000

Fm y FQ
0.00
0.0000 0.2000 0.4000 0.6000 0.8000 1.0000 1.2000

Fm y FQ
 Caudal Empirico Kolmogorov - Smirnov

( Q(M) - b ) / a Q (M) D Calculado

-1.4432 2.1046 0.0137
-1.2644 2.2340 0.0275
-1.1428 2.3220 0.0383
-1.0466 2.3916 0.0475
-0.9650 2.4506 0.0600
-0.8930 2.5027 0.0712
-0.8278 2.5499 0.0615
-0.7676 2.5934 0.0760
-0.7114 2.6341 0.0486
-0.6583 2.6725 0.0436
-0.6077 2.7092 0.0085
-0.5592 2.7443 0.0176
-0.5123 2.7782 0.0294
-0.4669 2.8111 0.0439
-0.4227 2.8430 0.0584
-0.3795 2.8743 0.0459
-0.3371 2.9050 0.0201
-0.2955 2.9351 0.0096
-0.2544 2.9648 0.0027
-0.2138 2.9942 0.0047
-0.1736 3.0233 0.0058
-0.1337 3.0522 0.0743
-0.0940 3.0809 0.0741
-0.0545 3.1095 0.0675
-0.0151 3.1380 0.1082
0.0243 3.1665 0.0972
0.0637 3.1950 0.0860
0.1032 3.2236 0.0799
0.1429 3.2524 0.0735
0.1828 3.2812 0.0896
0.2230 3.3103 0.1161
0.2635 3.3396 0.1016
0.3044 3.3692 0.1027
0.3457 3.3991 0.0923
0.3875 3.4293 0.0938
0.4299 3.4600 0.0849
0.4729 3.4911 0.0862
0.5166 3.5228 0.0717
0.5612 3.5550 0.0572
0.6066 3.5878 0.0427
0.6529 3.6214 0.0282
0.7003 3.6557 0.0187
0.7489 3.6908 0.0234
0.7987 3.7269 0.0277
0.8499 3.7640 0.0162
0.9027 3.8022 0.0066
0.9572 3.8416 0.0106
1.0136 3.8824 0.0039
1.0721 3.9247 0.0142
1.1329 3.9688 0.0188
1.1964 4.0147 0.0221
1.2628 4.0627 0.0629
1.3325 4.1132 0.0495
1.4060 4.1664 0.0510
1.4838 4.2227 0.0555
1.5666 4.2826 0.0451
1.6552 4.3467 0.0488
1.7506 4.4158 0.0385
1.8543 4.4907 0.0344
1.9678 4.5729 0.0199
2.0937 4.6640 0.0173
2.2352 4.7664 0.0054
2.3972 4.8836 0.0037
2.5873 5.0212 0.0096
2.8181 5.1882 0.0029
3.1134 5.4019 0.0065
3.5263 5.7007 0.0210
4.2268 6.2076 0.0064

Maximo D calculado 0.116

D tabla 0.162.4 Si se ajusta Ln Gumbel a Qmax del rio Viru
umbel a Qmax del rio Viru
 Caudal
Maximo Anual
Id Z'
Q
m3/s
1 5.60 -0.09316505
2 6.00 -0.08873046
3 7.00 -0.07764398
4 7.78 -0.06899654
5 8.00 -0.06655751
6 8.32 -0.06300984
7 10.00 -0.04438456
8 10.00 -0.04438456
9 12.00 -0.02221162
10 12.80 -0.01334244
11 14.70 0.00772186
12 14.90 0.00993915
13 15.00 0.0110478
14 15.00 0.0110478
15 15.00 0.0110478
16 16.00 0.02213427
17 17.50 0.03876398
18 19.20 0.05761099
19 19.50 0.06093693
20 20.16 0.068254
21 20.80 0.07534934
22 24.50 0.1163693
23 25.20 0.12412983
24 25.60 0.12856442
25 28.60 0.16182383
26 28.80 0.16404113
27 29.00 0.16625842
28 29.50 0.17180166
29 30.00 0.1773449
30 32.00 0.19951784
31 35.00 0.23277726
32 35.00 0.23277726
33 36.26 0.24674622
34 36.60 0.25051562
35 38.00 0.26603668
36 38.50 0.27157992
37 40.00 0.28820963
38 40.00 0.28820963
39 40.00 0.28820963
40 40.00 0.28820963
41 40.00 0.28820963
 42 40.50 0.29375286
43 42.50 0.31592581
44 44.65 0.33976173
45 45.00 0.34364199
46 45.60 0.35029388
47 48.00 0.37690141
48 48.00 0.37690141
49 48.58 0.38333157
50 50.00 0.39907436
51 51.70 0.41792136
52 74.00 0.66514971
53 74.33 0.66880825
54 80.00 0.73166855
55 88.00 0.82036034
56 90.00 0.84253328
57 100.00 0.95339801
58 102.70 0.98333149
59 110.00 1.06426275
60 110.00 1.06426275
61 120.00 1.17512748
62 122.50 1.20284366
63 128.00 1.26381926
64 138.00 1.37468399
65 172.80 1.76049326
66 200.00 2.06204532
67 200.00 2.06204532
68 380.00 4.05761048

Media 54.4511764706 0.44842221

Desv Estanda 60.4018371898 0.66964334
Coef Asimet 2.98666449757 2.9866645

Parametros
a 0.44842220746 0.44842221
b 90.2000113616 1
Qo 14.0034882626

Qo =< Q =< oo No cumple condicion.

 Caudal
Maximo Anual
Id Z'
Q Ln [Q]
m3/s m3/s
1 5.60 1.7228 21.855401
2 6.00 1.7918 22.345504
3 7.00 1.9459 23.440540
4 7.78 2.0516 24.191015
5 8.00 2.0794 24.389103
6 8.32 2.1187 24.667714
7 10.00 2.3026 25.974241
8 10.00 2.3026 25.974241
9 12.00 2.4849 27.269393
10 12.80 2.5494 27.727853
11 14.70 2.6741 28.613706
12 14.90 2.7014 28.807015
13 15.00 2.7081 28.854531
14 15.00 2.7081 28.854531
15 15.00 2.7081 28.854531
16 16.00 2.7726 29.312991
17 17.50 2.9549 30.608144
18 19.20 2.9704 30.718280
19 19.50 3.0037 30.954733
20 20.16 3.0350 31.176741
21 20.80 3.0910 31.575182
22 24.50 3.1781 32.193282
23 25.20 3.2426 32.651742
24 25.60 3.3604 33.488434
25 28.60 3.4657 34.236880
26 28.80 3.4657 34.236880
27 29.00 3.4657 34.236880
28 29.50 3.5553 34.873456
29 30.00 3.5553 34.873456
30 32.00 3.5610 34.913932
31 35.00 3.5835 35.073572
32 35.00 3.5907 35.124692
33 36.26 3.6000 35.190991
34 36.60 3.6376 35.457648
35 38.00 3.6889 35.822019
36 38.50 3.6889 35.822019
37 40.00 3.6889 35.822019
38 40.00 3.6889 35.822019
39 40.00 3.6889 35.822019
40 40.00 3.6889 35.822019
41 40.00 3.7989 36.603244
42 40.50 3.8199 36.752800
43 42.50 3.8373 36.876345
44 44.65 3.8544 36.997779
 45 45.00 3.8712 37.117171
46 45.60 3.8712 37.117171
47 48.00 3.8712 37.117171
48 48.00 3.8832 37.202492
49 48.58 3.9120 37.407157
50 50.00 3.9455 37.644666
51 51.70 4.0535 38.412323
52 74.00 4.1589 39.160769
53 74.33 4.1589 39.160769
54 80.00 4.2981 40.149730
55 88.00 4.3041 40.192094
56 90.00 4.3464 40.492824
57 100.00 4.3820 40.745908
58 102.70 4.3820 40.745908
59 110.00 4.4773 41.422960
60 110.00 4.6052 42.331046
61 120.00 4.6318 42.520301
62 122.50 4.7005 43.008098
63 128.00 4.7005 43.008098
64 138.00 4.7875 43.626198
65 172.80 4.8081 43.772671
66 200.00 4.8283 43.916184
67 200.00 4.8520 44.084658
68 380.00 4.9273 44.619021

Promedio = 3.5315 34.70375

Desv. Estandar = 0.8293 5.89099
Coef. Asimet. = -0.3395 -0.33950

Parametros
a 34.7037 34.70375
b 0.1408 1.00000
Qo -1.3539
 Funcion Distribucion Probabilidad
Empirica: Weibull Teorica: Ln Normal

F(M) F(Ln Q)

0.014493 0.006743
0.028986 0.009193
0.043478 0.017369 1.000000
0.057971 0.025759
0.072464 0.028432 0.900000
0.086957 0.032548
0.101449 0.058165 0.800000
0.115942 0.058165
0.130435 0.095493 0.700000
0.144928 0.111856
0.159420 0.148282 0.600000
0.173913 0.157067
0.188406 0.159271 0.500000

F(M)
0.202899 0.159271
0.217391 0.159271 0.400000
0.231884 0.181438
0.246377 0.252247 0.300000
0.260870 0.258771
0.275362 0.273012 0.200000
0.289855 0.286658
0.304348 0.311758 0.100000
0.318841 0.352004
0.333333 0.382647 0.000000
0.000000 0.100000 0.200000 0.30
0.347826 0.439605
0.362319 0.490856
0.376812 0.490856
0.391304 0.490856
0.405797 0.534013
0.420290 0.534013
0.434783 0.536731 0
0.449275 0.547413 1
0.463768 0.550820
0.478261 0.555228
0.492754 0.572829
0.507246 0.596500
0.521739 0.596500 1.2
0.536232 0.596500
0.550725 0.596500
0.565217 0.596500
0.579710 0.596500 1
0.594203 0.645466
0.608696 0.654522
0.623188 0.661919
0.8
0.637681 0.669114

0.6
 0.8

0.652174 0.676112
0.666667 0.676112
0.681159 0.676112 0.6
0.695652 0.681066
0.710145 0.692788
0.724638 0.706095
0.4
0.739130 0.746830
0.753623 0.783029
0.768116 0.783029
0.782609 0.825367 0.2
0.797101 0.827041
0.811594 0.838596
0.826087 0.847879
0.840580 0.847879 0
0 1 2
0.855072 0.870779
0.869565 0.897262
0.884058 0.902204
0.898551 0.914075
0.913043 0.914075
0.927536 0.927420
0.942029 0.930320
0.956522 0.933068
0.971014 0.936180
0.985507 0.945263
 F(M) VS F(Ln Q)

000 0.200000 0.300000 0.400000 0.500000 0.600000 0.700000 0.800000 0.900000 1.000000

F (Ln Q)

0
1

F(M) VS F(Q)
2 3 4 5 6
 Kolmogorov - Smirnov

D Calculado
0.00775004775825993
0.0197920145059647
0.0261095446770466
0.032211650698456
0.0440320914041059
0.0544086335086079
0.0432843118611522
0.0577770654843406
0.0349419409371306
0.0330715403691677
0.011137973583828
0.0168459881811708
0.0291343266589958
0.0436270802821842
0.0581198339053726
0.0504455786552787
0.00587005415314854
0.00209865826477251
0.00235050827907513
0.00319685753065296
0.00741029674762778
0.0331632305678353
0.0493134396964536
1.000000
0.091779017418565
0.128536754805662
0.114044001182473
0.0995512475592848
0.128215480619286
0.113722726996098
0.101948224635592
0.0981379136854838
0.0870521987910636
0.0769676096258141
0.0800752025678158
0.089253647841253
0.0747608942180646
0.0602681405948762
0.0457753869716878
0.0312826333484995
0.016789879725311
0.0512631389245466
0.0458265762853108
0.0387308742719889
0.0314325223186649
 0.0239378390487821
0.00944508542559375
0.00504766819759472
0.014586097470765
0.0173571379086129
0.0185421997136516
0.00769922435242143
0.0294057802437135
0.0149130266205252
0.0427585893021639
0.0299396075122561
0.0270015097654486
0.0217922610679969
0.00729950744480856
6
0.0157060641299247
0.0276971839364959
0.0181462273391704
0.0155244307328585
0.00103167710967012
0.000116156481477891
0.0117089089036351
0.023453451044419
0.0348349475397425
0.0402442958090679

Maximo D calculado 0.1285

D tabla 0.162.4 Si se ajusta LN Pearson a Qma
Caudal empirico

Z Ln Qempirico
se ajusta LN Pearson a Qmax del rio Viru
 Rio Viru

Tiempo Caudal Maximo a= 0.05

Id Máximo anual
Año m3/s
1 1950 20.80 T 1-1/T
2 1951 30.00
3 1952 50.00 0
4 1953 40.00 2 0.5
5 1954 32.00 5 0.8
6 1955 36.60 10 0.9
7 1956 88.00 25 0.96
8 1957 80.00 50 0.98
9 1958 74.00 100 0.99
10 1959 40.00 500 0.998
11 1960 128.00 1000 0.999
12 1961 20.16
13 1962 122.50
14 1963 138.00
15 1964 19.20
16 1965 48.58
17 1966 7.78
18
19
1967
1968
200.00
12.00
Analis
20 1969 28.80 300
21 1970 172.80
22 1971 48.00
23 1972 200.00 250
24 1973 51.70
25 1974 12.80
26 1975 110.00 200
27 1976 15.00
Caudal [m3/s]

28 1977 45.60
29 1978 8.00 150
30 1979 38.00
31 1980 15.00
32 1981 110.00 100
33 1982 10.00
34 1983 120.00
35 1984 100.00 50
36 1985 6.00
37 1986 15.00
38 1987 35.00 0
1
39 1988 25.60
40 1989 40.00
41 1990 7.00
42 1991 10.00
43 1992 5.60
44 1993 40.00
45 1994 16.00
46 1995 8.32
47 1996 48.00
48 1997 40.00
49 1998 380.00
50 1999 102.70
51 2000 36.26
52 2001 44.65
53 2002 35.00
54 2003 14.90
55 2004 19.50
56 2005 17.50
57 2006 40.50
58 2007 42.50
59 2008 38.50
60 2009 28.60
61 2010 14.70
62 2011 29.50
63 2012 29.00
64 2013 45.00
65 2014 25.20
66 2015 74.33
67 2016 24.50
68 2017 90.00

Promedio 54.45
Des Estand 60.40
Analisis de Frecuencia

GDL = 66 tstudent= 1.9966

Z K Q = Qprom + S*K Ic LCInferior LCSuperior

0 0 0
0 0 54.451176470588 14.624693 39.8264834 69.0758695
0.84162123 0.8416212335729 105.28664519638 17.0185382 88.268107 122.305183
1.28155157 1.2815515655446 131.85924548301 19.7362235 112.123022 151.595469
1.75068607 1.7506860712522 160.19583151689 23.2732627 136.922569 183.469094
2.05374891 2.0537489106318 178.5013837994 25.786541 152.714843 204.287925
2.32634787 2.3263478740408 194.96686200535 28.153758 166.813104 223.12062
2.87816174 2.8781617390955 228.29743324148 33.1626241 195.134809 261.460057
3.09023231 3.0902323061678 241.10688510654 35.1442293 205.962656 276.251114

Analisis de frecuencia Normal

10 100 1000

Periodo de retorno [años]

 Rio Viru

Tiempo Caudal Maximo a= 0.05

Id Máximo anual LN Q
Año m3/s
1 1950 20.80 3.035 T 1-1/T
2 1951 30.00 3.401
3 1952 50.00 3.912 0
4 1953 40.00 3.689 3.5 0.714
5 1954 32.00 3.466 5 0.800
6 1955 36.60 3.600 10 0.900
7 1956 88.00 4.477 25 0.960
8 1957 80.00 4.382 50 0.980
9 1958 74.00 4.304 100 0.990
10 1959 40.00 3.689 500 0.998
11 1960 128.00 4.852 1000 0.999
12 1961 20.16 3.004
13 1962 122.50 4.808
14 1963 138.00 4.927
15 1964 19.20 2.955
16 1965 48.58 3.883
17 1966 7.78 2.052
18
19
1967
1968
200.00
12.00
5.298
2.485
Anal
20 1969 28.80 3.360 1200
21 1970 172.80 5.152
22 1971 48.00 3.871
23 1972 200.00 5.298 1000
24 1973 51.70 3.945
25 1974 12.80 2.549
26 1975 110.00 4.700 800
27 1976 15.00 2.708
Caudal [m3/s]

28 1977 45.60 3.820

29 1978 8.00 2.079 600
30 1979 38.00 3.638
31 1980 15.00 2.708
32 1981 110.00 4.700 400
33 1982 10.00 2.303
34 1983 120.00 4.787
35 1984 100.00 4.605 200
36 1985 6.00 1.792
37 1986 15.00 2.708
38 1987 35.00 3.555 0
1
39 1988 25.60 3.243
40 1989 40.00 3.689
41 1990 7.00 1.946
42 1991 10.00 2.303
43 1992 5.60 1.723
44 1993 40.00 3.689
45 1994 16.00 2.773
46 1995 8.32 2.119
47 1996 48.00 3.871
48 1997 40.00 3.689
49 1998 380.00 5.940
50 1999 102.70 4.632
51 2000 36.26 3.591
52 2001 44.65 3.799
53 2002 35.00 3.555
54 2003 14.90 2.701
55 2004 19.50 2.970
56 2005 17.50 2.862
57 2006 40.50 3.701
58 2007 42.50 3.750
59 2008 38.50 3.651
60 2009 28.60 3.353
61 2010 14.70 2.688
62 2011 29.50 3.384
63 2012 29.00 3.367
64 2013 45.00 3.807
65 2014 25.20 3.227
66 2015 74.33 4.309
67 2016 24.50 3.199
68 2017 90.00 4.500

Promedio 54.451 3.567

Des Estand 60.402 0.928
 Analisis de Frecuencia
GDL = 66 tstudent= 1.9966

Z K LnQ = LNQprom + SLN*K Ic LCInferior LCSuperior

0 0 0
0.5659 0.5659 4.092 0.242 3.850 4.334
0.8416 0.8416 4.348 0.261 4.086 4.609
1.2816 1.2816 4.756 0.303 4.453 5.059
1.7507 1.7507 5.191 0.358 4.834 5.549
2.0537 2.0537 5.473 0.396 5.076 5.869
2.3263 2.3263 5.726 0.433 5.293 6.158
2.8782 2.8782 6.238 0.510 5.728 6.747
3.0902 3.0902 6.435 0.540 5.895 6.975

Analisis de frecuencia Ln Normal

1 10 100 1000

Periodo de retorno [años]

Qinferior Q Qsuperior
m3/s m3/s m3/s

46.985 59.851 76.242

59.514 77.302 100.405
85.864 116.282 157.477
125.690 179.725 256.988
160.209 238.102 353.867
198.960 306.648 472.622
307.440 511.752 851.842
363.092 623.073 1069.207
 Rio Viru

Tiempo Caudal Maximo a= 0.05

Id Máximo anual
Año m3/s
1 1950 20.80 T 1-1/T
2 1951 30.00
3 1952 50.00 0
4 1953 40.00 2 0.5
5 1954 32.00 5 0.8
6 1955 36.60 10 0.9
7 1956 88.00 25 0.96
8 1957 80.00 50 0.98
9 1958 74.00 100 0.99
10 1959 40.00 500 0.998
11 1960 128.00 1000 0.999
12 1961 20.16
13 1962 122.50
14 1963 138.00
15 1964 19.20
16 1965 48.58
17 1966 7.78
18
19
1967
1968
200.00
12.00
Analis
20 1969 28.80 450
21 1970 172.80
22 1971 48.00 400
23 1972 200.00
24 1973 51.70 350
25 1974 12.80
26 1975 110.00 300
27 1976 15.00
Caudal [m3/s]

28 1977 45.60 250

29 1978 8.00
30 1979 38.00 200
31 1980 15.00
32 1981 110.00 150
33 1982 10.00
34 1983 120.00 100
35 1984 100.00
36 1985 6.00 50
37 1986 15.00
38 1987 35.00 0
1
39 1988 25.60
40 1989 40.00
41 1990 7.00
42 1991 10.00
43 1992 5.60
44 1993 40.00
45 1994 16.00
46 1995 8.32
47 1996 48.00
48 1997 40.00
49 1998 380.00
50 1999 102.70
51 2000 36.26
52 2001 44.65
53 2002 35.00
54 2003 14.90
55 2004 19.50
56 2005 17.50
57 2006 40.50
58 2007 42.50
59 2008 38.50
60 2009 28.60
61 2010 14.70
62 2011 29.50
63 2012 29.00
64 2013 45.00
65 2014 25.20
66 2015 74.33
67 2016 24.50
68 2017 90.00

Promedio 54.45
Des Estand 60.40
Analisis de Frecuencia

GDL = 66 tstudent= 1.9966

Z K Q = Qprom + S*K Ic LCInferior LCSuperior

0 0 0
0 -0.164272041884 44.528843341883 14.624693 29.9041503 59.1535364
0.84162123 0.7194574160468 97.907726179674 17.0185382 80.8891879 114.926264
1.28155157 1.3045632130342 133.24919126814 19.7362235 113.512968 152.985415
1.75068607 2.0438459386132 177.90322609583 23.2732627 154.629963 201.176489
2.05374891 2.5922880965305 211.0301400264 25.786541 185.243599 236.816681
2.32634787 3.1366806436432 243.91245002447 28.153758 215.758692 272.066208
2.87816174 4.3946887142593 319.89844868933 33.1626241 286.735825 353.061073
3.09023231 4.9355236901203 352.56587484786 35.1442293 317.421646 387.710104

Analisis de frecuencia Gumbel

10 100 1000

Periodo de retorno [años]

 Rio Viru

Tiempo Caudal Maximo a= 0.05

Id Máximo anual Ln Q
Año m3/s
1 1950 20.80 3.035 T
2 1951 30.00 3.401
3 1952 50.00 3.912 0
4 1953 40.00 3.689 3.5
5 1954 32.00 3.466 5
6 1955 36.60 3.600 10
7 1956 88.00 4.477 25
8 1957 80.00 4.382 50
9 1958 74.00 4.304 100
10 1959 40.00 3.689 500
11 1960 128.00 4.852 1000
12 1961 20.16 3.004
13 1962 122.50 4.808
14 1963 138.00 4.927
15 1964 19.20 2.955
16 1965 48.58 3.883
17 1966 7.78 2.052
18
19
1967
1968
200.00
12.00
5.298
2.485
Anal
20 1969 28.80 3.360 9000
21 1970 172.80 5.152
22 1971 48.00 3.871 8000
23 1972 200.00 5.298
24 1973 51.70 3.945 7000
25 1974 12.80 2.549
26 1975 110.00 4.700 6000
27 1976 15.00 2.708
Caudal [m3/s]

28 1977 45.60 3.820 5000

29 1978 8.00 2.079
30 1979 38.00 3.638 4000
31 1980 15.00 2.708
32 1981 110.00 4.700 3000
33 1982 10.00 2.303
34 1983 120.00 4.787 2000
35 1984 100.00 4.605
36 1985 6.00 1.792 1000
37 1986 15.00 2.708
38 1987 35.00 3.555 0
1
39 1988 25.60 3.243
40 1989 40.00 3.689
41 1990 7.00 1.946
42 1991 10.00 2.303
43 1992 5.60 1.723
44 1993 40.00 3.689
45 1994 16.00 2.773
46 1995 8.32 2.119
47 1996 48.00 3.871
48 1997 40.00 3.689
49 1998 380.00 5.940
50 1999 102.70 4.632
51 2000 36.26 3.591
52 2001 44.65 3.799
53 2002 35.00 3.555
54 2003 14.90 2.701
55 2004 19.50 2.970
56 2005 17.50 2.862
57 2006 40.50 3.701
58 2007 42.50 3.750
59 2008 38.50 3.651
60 2009 28.60 3.353
61 2010 14.70 2.688
62 2011 29.50 3.384
63 2012 29.00 3.367
64 2013 45.00 3.807
65 2014 25.20 3.227
66 2015 74.33 4.309
67 2016 24.50 3.199
68 2017 90.00 4.500

Promedio 54.451 3.567

Des Estand 60.402 0.928
 Analisis de Frecuencia Ln Gumbel
GDL = 66 tstudent= 1.9966

K Ln Q = Ln Qprom + SLn*K Ic LCInferior LCSuperior

0 0 0
0.399 3.937 0.233 3.704 4.171
0.719 4.234 0.252 3.982 4.486
1.305 4.777 0.306 4.472 5.083
2.044 5.464 0.395 5.069 5.858
2.592 5.973 0.469 5.503 6.442
3.137 6.478 0.547 5.931 7.025
4.395 7.645 0.734 6.912 8.379
4.936 8.147 0.816 7.331 8.963

Analisis de frecuencia Ln Gumbel

1 10 100 1000

Periodo de retorno [años]

el

Q inf Q Q sup
m3/s m3/s m3/s

40.595 51.272 64.757

53.636 69.016 88.807
87.501 118.792 161.273
158.948 235.924 350.176
245.501 392.493 627.497
376.548 650.521 1123.834
1004.015 2090.870 4354.256
1527.645 3453.995 7809.462
 Rio Viru

Tiempo Caudal Maximo Anual a= 0.05

Id Q Ln (Q)
Año m3/s m3/s
1 1950 20.80 3.035 T 1-1/T
2 1951 30.00 3.401
3 1952 50.00 3.912 0
4 1953 40.00 3.689 2 0.5
5 1954 32.00 3.466 5 0.8
6 1955 36.60 3.600 10 0.9
7 1956 88.00 4.477 25 0.96
8 1957 80.00 4.382 50 0.98
9 1958 74.00 4.304 100 0.99
10 1959 40.00 3.689 500 0.998
11 1960 128.00 4.852 1000 0.999
12 1961 20.16 3.004
13 1962 122.50 4.808
14 1963 138.00 4.927
15 1964 19.20 2.955
16 1965 48.58 3.883
17 1966 7.78 2.052
18
19
1967
1968
200.00
12.00
5.298
2.485
An
20 1969 28.80 3.360 1400
21 1970 172.80 5.152
22 1971 48.00 3.871
1200
23 1972 200.00 5.298
24 1973 51.70 3.945
25 1974 12.80 2.549 1000
26 1975 110.00 4.700
27 1976 15.00 2.708
800
Caudal [m3/s]

28 1977 45.60 3.820

29 1978 8.00 2.079
30 1979 38.00 3.638 600
31 1980 15.00 2.708
32 1981 110.00 4.700
33 1982 10.00 2.303 400
34 1983 120.00 4.787
35 1984 100.00 4.605 200
36 1985 6.00 1.792
37 1986 15.00 2.708
38 1987 35.00 3.555 0
1
39 1988 25.60 3.243
40 1989 40.00 3.689
41 1990 7.00 1.946
42 1991 10.00 2.303
43 1992 5.60 1.723
44 1993 40.00 3.689
45 1994 16.00 2.773
46 1995 8.32 2.119
47 1996 48.00 3.871
48 1997 40.00 3.689
49 1998 380.00 5.940
50 1999 102.70 4.632
51 2000 36.26 3.591
52 2001 44.65 3.799
53 2002 35.00 3.555
54 2003 14.90 2.701
55 2004 19.50 2.970
56 2005 17.50 2.862
57 2006 40.50 3.701
58 2007 42.50 3.750
59 2008 38.50 3.651
60 2009 28.60 3.353
61 2010 14.70 2.688
62 2011 29.50 3.384
63 2012 29.00 3.367
64 2013 45.00 3.807
65 2014 25.20 3.227
66 2015 74.33 4.309
67 2016 24.50 3.199
68 2017 90.00 4.500

Promedio 54.45 3.57

Des Estand 60.40 0.93
Coef Asimet 2.99 0.14
 Analisis de Frecuencia

GDL = 66 tstudent= 1.9966

Z K Ln Q =Ln Qprom + Ln S*K Ln Ic Ln LCInferior Ln LCSuperior Q

0 0 0 0
0 -0.02322486 3.54505088515325 0.224746 3.3203048891 3.76979688 34.641
0.84162123 0.83404579 4.3406874807882 0.26088478 4.0798027018 4.60157226 76.760
1.28155157 1.29546583 4.76893341305472 0.30474596 4.464187457 5.07367937 117.794
1.75068607 1.79771876 5.2350765320189 0.36344916 4.8716273677 5.5985257 187.743
2.05374891 2.12782566 5.54145017151178 0.40597246 5.1354777107 5.94742263 255.048
2.32634787 2.42856793 5.82057037806874 0.44655544 5.3740149376 6.26712582 337.164
2.87816174 3.04851129 6.39594248983438 0.5339876 5.8619548925 6.92993009 599.408
3.09023231 3.2907693 6.6207831949098 0.56913797 6.0516452209 7.18992117 750.533

Analisis de frecuencia Ln Pearson

1 10 100 1000

Periodo de retorno [años]

LCInferior LCSuperior

0 0
27.669 43.371
59.134 99.641
86.850 159.761
130.533 270.028
169.945 382.766
215.727 526.961
351.410 1022.422
424.811 1325.999