AÑO CAUDAL CAUDAL ^2Q (m3/s) Q^2

1960 2241.00 5022081.001961 1237.95 1532520.201962 5130.00 26316900.001963 1903.50 3623312.251964 3078.00 9474084.001965 834.30 696056.491966 922.05 850176.201967 1260.90 1589868.811968 1051.65 1105967.721969 1243.35 1545919.221970 1007.40 1014854.761971 851.00 724201.001972 1288.00 1658944.001973 701.50 492102.251974 1322.50 1749006.251975 647.45 419191.501976 598.00 357604.001977 414.00 171396.001978 422.05 178126.201979 756.70 572594.891980 972.32 945406.181981 1003.00 1006009.001982 1451.40 2106561.961983 615.96 379406.721984 685.58 470019.941985 657.26 431990.711986 965.24 931688.261987 1215.40 1477197.161988 493.24 243285.701989 1124.54 1264590.211990 1038.24 1077942.301991 1071.00 1147041.001992 1549.80 2401880.041993 657.72 432595.601994 732.06 535911.84

1995 701.82 492551.311996 1030.68 1062301.261997 1297.80 1684284.841998 526.68 277391.821999 1200.78 1441872.612000 1112.40 1237433.762001 1147.50 1316756.252002 1660.50 2757260.252003 704.70 496602.092004 784.35 615204.922005 751.95 565428.802006 1104.30 1219478.492007 1390.50 1933490.252008 564.30 318434.492009 1286.55 1655210.90

Sumatoria 56408.87 91020135.42Promedio 1128.177Desv. Est. 747.525nro valores 50.000Yn= 0.54854

1.16066Qm= 1128.1774

747.525484228

Tiempo(Años) Qmax φ50 3294.436 0.980

100 3740.858 0.990500 4777.420 0.998

1000 5223.843 0.999

∆Q = 734.219

Qmax Caudal D. (Qd)3294.436 4028.6553740.858 4475.0784777.420 5511.6405223.843 5958.063

σN =

σQ=

MCAUDAL (Q)

AÑO T T/T - 1LOG(LOG(T/T - 1))

m3/s X 1 5,130.00 1962 51.00 1.02 -2.072 3,078.00 1964 25.50 1.04 -1.763 2,241.00 1960 17.00 1.06 -1.584 1,903.50 1963 12.75 1.09 -1.455 1,660.50 2002 10.20 1.11 -1.356 1,549.80 1992 8.50 1.13 -1.267 1,451.40 1982 7.29 1.16 -1.198 1,390.50 2007 6.38 1.19 -1.139 1,322.50 1974 5.67 1.21 -1.07

10 1,297.80 1997 5.10 1.24 -1.0211 1,288.00 1972 4.64 1.28 -0.9812 1,286.55 2009 4.25 1.31 -0.9313 1,260.90 1967 3.92 1.34 -0.8914 1,243.35 1969 3.64 1.38 -0.8615 1,237.95 1961 3.40 1.42 -0.8216 1,215.40 1987 3.19 1.46 -0.7917 1,200.78 1999 3.00 1.50 -0.7518 1,147.50 2001 2.83 1.55 -0.7219 1,124.54 1989 2.68 1.59 -0.6920 1,112.40 2000 2.55 1.65 -0.6721 1,104.30 2006 2.43 1.70 -0.6422 1,071.00 1991 2.32 1.76 -0.6123 1,051.65 1968 2.22 1.82 -0.5824 1,038.24 1990 2.13 1.89 -0.5625 1,030.68 1996 2.04 1.96 -0.5326 1,007.40 1970 1.96 2.04 -0.5127 1,003.00 1981 1.89 2.13 -0.4828 972.32 1980 1.82 2.22 -0.4629 965.24 1986 1.76 2.32 -0.4430 922.05 1966 1.70 2.43 -0.4131 851.00 1971 1.65 2.55 -0.3932 834.30 1965 1.59 2.68 -0.3733 784.35 2004 1.55 2.83 -0.3434 756.70 1979 1.50 3.00 -0.3235 751.95 2005 1.46 3.19 -0.3036 732.06 1994 1.42 3.40 -0.2737 704.70 2003 1.38 3.64 -0.25

38 701.82 1995 1.34 3.92 -0.2339 701.50 1973 1.31 4.25 -0.2040 685.58 1984 1.28 4.64 -0.1841 657.72 1993 1.24 5.10 -0.1542 657.26 1985 1.21 5.67 -0.1243 647.45 1975 1.19 6.37 -0.0944 615.96 1983 1.16 7.29 -0.0645 598.00 1976 1.13 8.50 -0.0346 564.30 2008 1.11 10.20 0.0047 526.68 1998 1.09 12.75 0.0448 493.24 1988 1.06 17.00 0.0949 422.05 1978 1.04 25.50 0.1550 414.00 1977 1.02 51.00 0.23

Sumatoria 56,408.87 229.46 229.46 -30.02

CAUDAL (Q) ΣQ

N = 50

Qm = 1,128.18 b = -1,273.04Xm= -0.60 a = 363.787216554008

T Q X =50 2982.18538 -2.05680612 11175.88699 2.1209895696372

100 3368.20827 -2.36003511 11175.88699 3.09615962533806500 4260.24825 -3.06075104 11175.88699 6.05310894715182

1000 4643.74851 -3.36199845 11175.88699 7.62618100403059

T Q X = ∆Q = QD50 2982.18538 -2.05680612 373.0921303 3355.27750794906

100 3368.20827 -2.36003511 427.3680508 3795.57632200705500 4260.24825 -3.06075104 560.6971243 4820.94537340029

ΣX

1000 4643.74851 -3.36199845 620.0521506 5263.80065787319

Q *X Q^2 X^2

-10595.98 26316900.00 4.27-5417.58 9474084.00 3.10-3539.81 5022081.00 2.50-2760.29 3623312.25 2.10-2239.35 2757260.25 1.82-1960.09 2401880.04 1.60-1731.55 2106561.96 1.42-1571.50 1933490.25 1.28-1420.45 1749006.25 1.15-1327.98 1684284.84 1.05-1258.00 1658944.00 0.95-1201.19 1655210.90 0.87-1126.63 1589868.81 0.80-1064.10 1545919.22 0.73-1015.43 1532520.20 0.67

-955.88 1477197.16 0.62-905.70 1441872.61 0.57-830.11 1316756.25 0.52-780.15 1264590.21 0.48-739.89 1237433.76 0.44-703.91 1219478.49 0.41-653.88 1147041.00 0.37-614.52 1105967.72 0.34-580.13 1077942.30 0.31-550.11 1062301.26 0.28-512.92 1014854.76 0.26-486.43 1006009.00 0.24-448.36 945406.18 0.21-422.32 931688.26 0.19-381.86 850176.20 0.17-332.65 724201.00 0.15-306.80 696056.49 0.14-270.27 615204.92 0.12-243.18 572594.89 0.10-224.11 565428.80 0.09-200.96 535911.84 0.08-176.66 496602.09 0.06

-158.95 492551.31 0.05-141.54 492102.25 0.04-120.94 470019.94 0.03

-98.81 432595.60 0.02-80.85 431990.71 0.02-61.17 419191.50 0.01-39.58 379406.72 0.00-19.01 357604.00 0.00

2.10 318434.49 0.0022.94 277391.82 0.0044.42 243285.70 0.0162.53 178126.20 0.0296.20 171396.00 0.05

-50,043.42 91,020,135.42 30.73ΣQ *X ΣQ^2 ΣX^2

Sxx= 635.21Sqq= 1369046156Sxq= -808,651.74

b ∆Q =0.0208333333333333 0.0015742758 339599476 23623.5474404437 373.092130.0208333333333333 0.0015742758 339599476 34484.9757110645 427.3680510.0208333333333333 0.0015742758 339599476 67419.4293183984 560.6971240.0208333333333333 0.0015742758 339599476 84940.2803847564 620.052151

56,408.87

91,020,135.42

-30.02

30.73

-50,043.42

METODO LEBEDIEVm CAUDAL (Q) AÑO Qi/Qm-1 (Qi/Qm-1)^2 (Qi/Qm-1)^3

1 5,130.00 1962 3.5472 12.5823 44.63152 3,078.00 1964 1.7283 2.9870 5.16243 2,241.00 1960 0.9864 0.9730 0.95974 1,903.50 1963 0.6872 0.4723 0.32465 1,660.50 2002 0.4718 0.2226 0.10506 1,549.80 1992 0.3737 0.1397 0.05227 1,451.40 1982 0.2865 0.0821 0.02358 1,390.50 2007 0.2325 0.0541 0.01269 1,322.50 1974 0.1722 0.0297 0.0051

10 1,297.80 1997 0.1504 0.0226 0.003411 1,288.00 1972 0.1417 0.0201 0.002812 1,286.55 2009 0.1404 0.0197 0.002813 1,260.90 1967 0.1176 0.0138 0.001614 1,243.35 1969 0.1021 0.0104 0.001115 1,237.95 1961 0.0973 0.0095 0.000916 1,215.40 1987 0.0773 0.0060 0.000517 1,200.78 1999 0.0644 0.0041 0.000318 1,147.50 2001 0.0171 0.0003 0.000019 1,124.54 1989 -0.0032 0.0000 0.000020 1,112.40 2000 -0.0140 0.0002 0.000021 1,104.30 2006 -0.0212 0.0004 0.000022 1,071.00 1991 -0.0507 0.0026 -0.000123 1,051.65 1968 -0.0678 0.0046 -0.000324 1,038.24 1990 -0.0797 0.0064 -0.000525 1,030.68 1996 -0.0864 0.0075 -0.000626 1,007.40 1970 -0.1071 0.0115 -0.001227 1,003.00 1981 -0.1110 0.0123 -0.001428 972.32 1980 -0.1381 0.0191 -0.002629 965.24 1986 -0.1444 0.0209 -0.003030 922.05 1966 -0.1827 0.0334 -0.006131 851.00 1971 -0.2457 0.0604 -0.014832 834.30 1965 -0.2605 0.0679 -0.017733 784.35 2004 -0.3048 0.0929 -0.028334 756.70 1979 -0.3293 0.1084 -0.035735 751.95 2005 -0.3335 0.1112 -0.037136 732.06 1994 -0.3511 0.1233 -0.043337 704.70 2003 -0.3754 0.1409 -0.052938 701.82 1995 -0.3779 0.1428 -0.054039 701.50 1973 -0.3782 0.1430 -0.054140 685.58 1984 -0.3923 0.1539 -0.060441 657.72 1993 -0.4170 0.1739 -0.072542 657.26 1985 -0.4174 0.1742 -0.072743 647.45 1975 -0.4261 0.1816 -0.0774

44 615.96 1983 -0.4540 0.2061 -0.093645 598.00 1976 -0.4699 0.2208 -0.103846 564.30 2008 -0.4998 0.2498 -0.124947 526.68 1998 -0.5332 0.2843 -0.151648 493.24 1988 -0.5628 0.3167 -0.178349 422.05 1978 -0.6259 0.3918 -0.245250 414.00 1977 -0.6330 0.4007 -0.2537

Sumatoria 56,408.87 21.513 49.502

CAUDAL (Q)N = 50

Qm = 1,128.18

Cv = 0.656 Cs1 = 3.508Cs2 = 1.968

Cs = 3.508

T Cs P K (tabla 6.17) Er (6.3)50 3.508 2.00% 3.16 0.95

100 3.508 1.00% 4.21 1500 3.508 0.20% 5.5 1.08

1000 3.508 0.10% 7.64 1.1

Qmax A Qd3466.617 0.896 417.304 3883.94243.630 0.896 537.725 4781.45198.246 0.896 711.383 5909.66781.873 0.896 945.291 7727.2

ΔQ

Se escoge el mayor