ESTACION DE PACHACHACA

N AÑO Q m3/sg (Qi- Qm)1 2009 3.17 0.142 2008 2.88 0.013 2007 3.17 0.144 2006 2.60 0.045 2005 2.49 0.09 Qm = 2.80 m3/seg6 2004 2.98 0.037 2003 3.06 0.078 2002 2.54 0.079 2001 1.66 1.29

10 2000 3.05 0.0611 1999 2.71 0.0112 1998 2.97 0.03 Qm = 0.42 m3/seg13 1997 3.16 0.1314 1996 3.35 0.31 N Yn Sn15 1995 3.54 0.55 20 0.52355 1.0628316 1994 2.71 0.01 50 0.54854 1.1606617 1993 2.57 0.05 100 0.56002 1.2064918 1992 2.40 0.1619 1991 2.37 0.1820 1990 2.90 0.0121 1989 2.47 0.11

2.80 0.42

Qmax = Qm - (Sq/Sn)(Yn-ln T)50 Qmax = 4.142 m3/seg

100 Qmax = 4.417 m3/seg

Calculo de AQ

O = 1 - 1/T

O50 = 0.98O100 = 0.99

AQ = 0.452 m3/seg

Calculo de caudales de diseño:

50 Qd = 4.595 m3/seg

50 Qd = 3.690 m3/seg

100 Qd = 4.870 m3/seg

100 Qd = 3.965 m3/seg

METODO DE GUMBEL

N

QQm

1

22

N

QmNQiQ

N

QQ

14.1

ESTACION DE PACHACHACA

ESTACION PACHACHACA

AÑO QQ/Qm-1 (Q/Qm-1)2 (Q/Qm-1)31 2009 3.17 0.133106383 0.01771730919 0.002358286942 2008 2.88 0.0294468085 0.00086711453 2.55337556E-053 2007 3.17 0.133106383 0.01771730919 0.002358286944 2006 2.60 -0.0706382979 0.00498976913 -0.00035246885 2005 2.49 -0.1099574468 0.01209064011 -0.001329455926 2004 2.98 0.0651914894 0.00424993029 0.000277059287 2003 3.06 0.093787234 0.00879604527 0.000824956768 2002 2.54 -0.0920851064 0.00847966682 -0.000780851029 2001 1.66 -0.4066382979 0.1653547053 -0.06723955591

10 2000 3.05 0.090212766 0.00813834314 0.0007341824511 1999 2.71 -0.0313191489 0.00098088909 -3.0720612E-0512 1998 2.97 0.0616170213 0.00379665731 0.0002339387113 1997 3.16 0.1295319149 0.01677851698 0.0021733534314 1996 3.35 0.1974468085 0.03898524219 0.0076975116515 1995 3.54 0.2653617021 0.07041683296 0.0186859306516 1994 2.71 -0.0313191489 0.00098088909 -3.0720612E-0517 1993 2.57 -0.0813617021 0.00661972657 -0.0005385922218 1992 2.40 -0.1421276596 0.02020027162 -0.0028710173319 1991 2.37 -0.1528510638 0.02336344771 -0.0035711278420 1990 2.90 0.0365957447 0.00133924853 4.90107972E-0521 1989 2.47 -0.117106383 0.01371390493 -0.0016059858

TOTAL 58.75 0.44557645994 -0.04293244468

OBTENCION DE Qm

Qm= 2.80

CALCULOS:

CALCULO DEL COEFICIENTE DE VARIACION

Cv= 0.1492609225

COEFICIENTE DE ASIMETRIA

Cs= -0.645531231

CONSIDERANDO QUE LA AVENIDA SE PRODUCE POR UNA TORMENTA

Cs= 0.4477827676

OBTENCION DEL COEFICIENTE K

METODO DE LEBEDIEV

ESTACION PACHACHACA

PARA PERIODO DE RETORNO DE 50 AÑOS

P= 1/50 2.00%

K= 2.26 SEGÚN LA TABLA 6.17

PARA PERIODO DE RETORNO DE 100 AÑOS

P= 1/100 1.00%

K= 2.61 SEGÚN LA TABLA 6.17

CALCULO DE Er

para 50 años Er= 0.2 según grafico 6.3

para 100 años Er= 0.22

CALCULO DEL CAUDAL MAXIMO

para t=50 añosQmax= 3.7413389995

para t=100 añosQmax= 3.8874903195

maximos:

con un intervalo de confianza Qd50años= 3.88para 50 años Qd100años= 4.05

DQ= 0.1422201016para 100años minimos

DQ= 0.1625533519 Qd50años= 3.60Qd100años= 3.72

ESTACION PACHACHACA

ESTACION COMAS

1ro N Q m3/sg T T/(T-1) X Q*X Q2 X21 3.17 22.000 1.048 -1.69457584 -5.3718054 10.0489 2.871587272 2.88 11.000 1.100 -1.3830764 -3.98326003 8.2944 1.912900333 3.17 7.333 1.158 -1.19607143 -3.79154642 10.0489 1.430586864 2.60 5.500 1.222 -1.05973173 -2.75530251 6.76 1.123031355 2.49 4.400 1.294 -0.95088374 -2.36770051 6.2001 0.904179896 2.98 3.667 1.375 -0.85916935 -2.56032465 8.8804 0.738171977 3.06 3.143 1.467 -0.7790257 -2.38381864 9.3636 0.606881048 2.54 2.750 1.571 -0.70709155 -1.79601253 6.4516 0.499978469 1.66 2.444 1.692 -0.64115309 -1.06431412 2.7556 0.41107728

10 3.05 2.200 1.833 -0.57964575 -1.76791954 9.3025 0.335989211 2.71 2.000 2.000 -0.52139023 -1.41296752 7.3441 0.2718477712 2.97 1.833 2.200 -0.46543748 -1.38234931 8.8209 0.2166320413 3.16 1.692 2.444 -0.41096665 -1.29865462 9.9856 0.1688935914 3.35 1.571 2.750 -0.35720648 -1.1966417 11.2225 0.1275964715 3.54 1.467 3.143 -0.30336002 -1.07389448 12.5316 0.092027316 2.71 1.375 3.667 -0.24851194 -0.67346735 7.3441 0.0617581817 2.57 1.294 4.400 -0.19148339 -0.49211231 6.6049 0.0366658918 2.40 1.222 5.500 -0.13055548 -0.31333314 5.76 0.0170447319 2.37 1.158 7.333 -0.06283258 -0.14891322 5.6169 0.0039479320 2.90 1.100 11.000 0.017614523 0.051082116 8.41 0.0003102721 2.47 1.048 22.000 0.127889281 0.315886524 6.1009 0.01635567

TOTAL 58.750 80.198 1.013 -12.525 -35.783 168 11.831

CALCULO DE Qm y Xm

2do Qm 2.798Xm -0.596

CALCULO DE LOS PARAMETROS a y b

3ro b -0.171a 2.696

4to CALCULO DEL CAUDAL MAXIMO

T 50 100Qmax 3.047 3.099

5to CALCULO DE LAS DESVIACIONES ESTANDAR Y VARIANZA

Sxx 91.589

METODO DE NASH

ESTACION COMAS

Sqq 73.235

Sxq -15.630809

6to CALCULO DEL INTERVALO DE CONFIANZA

Para T 50 100X -2.06 -2.36

∆Q 0.308 0.367

7to CALCULO DEL CAUDAL DE DISEÑO

T 50 100

Qd 3.355 3.465

ESTACION COMAS

ESTACION COMAS