Copia de Balance Hidrico3

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BALANCE HIDRICO EN EL EMBALSE PRESA CHAVIN

OFERTAMes Dias Qe Precipitación Qec. Evapor.

(m3/s) (mm) (m3/s) mm

ENERO 31 0.54 0 0.07 49.0

FEB. 29 0.66 0 0.07 36.2MAR. 31 0.9 0 0.07 46.5ABR. 30 0.48 0 0.07 33.6MAY. 31 0.1 0 0.006 34.7

JN. 30 0.042 0 0.006 51.0 J!. 31 0.019 0 0.006 47.1A"O. 31 0.27 0 0.006 57.7#ET. 30 0.02 0 0.006 58.0O$T. 31 0 0 0.006 63.0NO%. 30 0.013 0 0.006 66.6

D&$. 31 0 0 0.006 58.9

DEF&$&T OFERTADEMANDAD*+,e-Qe= ca!a" !e in#reso $ensa" a" e$%a"se &$'(s) se c*"c"a +1)#e e,e e+c*+ ,e ce,* + ** +es* emse +* se c*+s,e * e*c:+ e +;c:+ es*s *es ,e ** s*+ c,*s c*+ ss ,,s.2) $+,* +* se e+e esc*+es ,e ** se ,eem+ e escme+* me+s c*+s+,* s ,ee+es ,,s ,e +;c:+< e*c:+ e= e +ce >,c* e+ce+c. ?e* ce+cs e@es s = *m-%M $?mAD*+,e- $- c*e;ce+e ,e escme+* ?- ecc:+ ? ,e mes A - e ,e ce+cP= precipitación $ensa" so%re e" e$%a"se &$$)

%*me+ 0.760 MM$ 3108

OFERTA (Qe N,86400C?A/103)/106DEMANDA ((Qs, CQec.)N,86400C(ECF)A/103)/106

Qs!= $, ,e s, me+s sscc:+ ,e ,em+,s ,e emse (m3/s)

Qci = $, ,e s, me+s e c*+* ,e ++,c*+es ,e emse (m3/s)

Qec. = $, ec**c* me+s c*+sec:+ ,e + * s G*E = E*c:+ me+s e+ e emse (mm)

, = +;c:+ me+s e+ e emse (mm)

A = e me+s ,e emse (m2)

N! = +Ime* ,e ,s ,e emse



%*me+ me* 0.096 MM$ cc*%*me+ ,e *ec:+ 0.002 MM$%*me+ T* 0.858 MM$

$c* ,e Amce+me+* Ae + emseA"tra &$) Area &$-) Vo"$en &$') Vo"$en &MMC) VA &MMC) Area &a)

3058 19.967 0 0 0 0.003060 83.773 96.4 0.0001 0.0001 0.013062 173.557 251.9 0.0003 0.0003 0.023064 515.147 658.5 0.001 0.001 0.053066 926.968 1422.1 0.001 0.002 0.093068 1482.188 2387.5 0.002 0.005 0.153070 2462.887 3903.8 0.004 0.009 0.253072 4901.36 7225.8 0.007 0.016 0.493074 7422.154 12236.7 0.012 0.028 0.743076 9704.272 17075.5 0.017 0.045 0.97

3078 11537.556 21215.4 0.021 0.066 1.153080 13384.918 24899.6 0.025 0.091 1.343082 15707.69 29061.6 0.029 0.120 1.573084 17750.635 33437.5 0.033 0.154 1.783086 20104.791 37831.0 0.038 0.192 2.013088 22603.216 42683.6 0.043 0.234 2.263090 25094.604 47676.1 0.048 0.282 2.513092 27908.547 52978.2 0.053 0.335 2.793094 30620.418 58508.0 0.059 0.394 3.063096 33719.716 64315.2 0.064 0.458 3.373098 37450.139 71137.2 0.071 0.529 3.753100 40944.989 78369.1 0.078 0.607 4.093102 44410.835 85332.4 0.085 0.693 4.443104 48022.566 92409.9 0.092 0.785 4.803106 51652.666 99653.2 0.100 0.885 5.173108 55598.655 107227.1 0.107 0.992 5.563110 59798.664 115371.8 0.115 1.107 5.983112 63918.445 123694.2 0.124 1.231 6.393114 68032.742 131929.8 0.132 1.363 6.803116 72220.061 140232.0 0.140 1.503 7.223118 76904.831 149100.4 0.149 1.652 7.69

3120 81919.975 158798.4 0.159 1.811 8.193122 86947.022 168842.0 0.169 1.980 8.693124 92028.431 178951.4 0.179 2.159 9.203126 97665.889 189666.4 0.190 2.349 9.773128 103218.657 200859.0 0.201 2.549 10.323130 108771.411 211965.8 0.212 2.761 10.883132 114435.079 223182.5 0.223 2.985 11.443134 120256.396 234667.4 0.235 3.219 12.03



3136 126172.542 246405.3 0.246 3.466 12.623138 132167.804 258317.2 0.258 3.724 13.223140 138274.37 270419.2 0.270 3.994 13.833142 144322.601 282575.4 0.283 4.277 14.433144 150578.84 294879.3 0.295 4.572 15.063146 156872.818 307430.2 0.307 4.879 15.69

3148 163284.323 320135.7 0.320 5.199 16.333150 169743.499 333006.9 0.333 5.532 16.973152 176155.498 345879.2 0.346 5.878 17.623154 182627.552 358763.6 0.359 6.237 18.263156 189806.14 372410.6 0.372 6.609 18.983158 196652.661 386438.6 0.386 6.996 19.673160 203704.579 400336.5 0.400 7.396 20.373162 210757.987 414442.6 0.414 7.811 21.083164 217827.173 428565.7 0.429 8.239 21.783166 225200.28 443007.0 0.443 8.682 22.52

3168 232750.129 457929.7 0.458 9.140 23.283170 240463.3 473192.5 0.473 9.613 24.053172 248219.674 488662.5 0.489 10.102 24.823174 256001.739 504201.4 0.504 10.606 25.603176 263880.412 519862.2 0.520 11.126 26.393178 272321.04 536179.3 0.536 11.662 27.233180 281460.718 553756.6 0.554 12.216 28.153182 290174.261 571612.8 0.572 12.788 29.023184 298738.47 588892.0 0.589 13.377 29.873186 307314.805 606033.0 0.606 13.983 30.733188 316018.846 623313.4 0.623 14.606 31.603190 325833.897 641827.7 0.642 15.248 32.58

Area /ot. &$-) 7787647.78Vo". /ot &$') 15.248

A ,e es 75m.3150

32000ra1co A"tra 2 Vo"$en



0 2 4 6 8 10 12 14 162950

3000

3050

3100



EMANDA A B AB AB c.C"t. A#as arr. Vo". C"tivo % OFERTA % DEMANDA

(m3/s) (MM$) MM$ MM$

0.02 0 1.45 0.24 1.21 0.00

0.02 0 1.65 0.23 1.42 0.000.02 0 2.41 0.26 2.15 0.000.02 0.084 1.24 0.33 0.91 0.000.02 0.12 0.27 0.21 0.06 0.00

0.003 0.12 0.11 0.17 0.06 0.060.003 0.12 0.05 0.16 0.11 0.170.003 0.15 0.72 0.20 0.53 0.000.003 0.17 0.05 0.21 0.16 0.33

0 0.17 0.00 0.20 0.20 0.530.003 0.15 0.03 0.18 0.15 0.67

0 0.066 0.00 0.09 0.09 0.761.15 2.48

0.14

,s

,e

,e H* (m3/s)

0 2 4 60.00

0.50

1.00

1.50

2.00

2.50

3.00



H

02468

1012141618

20222426283032343638404244464850 K3 K2 K52 0 28596471112 9351364 305854 9.6426E005 28652616000 9363600 306056 0.00034837 28708834328 9375844 306258 0.00100684 28765126144 9388096 306460 0.00242894 28821491496 9400356 3066

62 0.00481648 28877930432 9412624 306864 0.00872027 28934443000 9424900 307066 0.01594604 28991029248 9437184 307268 0.0281827 29047689224 9449476 307470 0.04525822 29104422976 9461776 307672 0.06647362 29161230552 9474084 307874 0.09137324 29218112000 9486400 308076 0.12043489 29275067368 9498724 3082

3050 3060 3070 3080 3090 3100 3110 3120 313

0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

(K) 5.47381704761693E006KD3 0.0500475934KD2 C 152



78 0.15387241 29332096704 9511056 308480 0.19170341 29389200056 9523396 308682 0.23438704 29446377472 9535744 308884 0.28206315 29503629000 9548100 309086 0.33504139 29560954688 9560464 309288 0.3935494 29618354584 9572836 3094

90 0.45786464 29675828736 9585216 309692 0.52900188 29733377192 9597604 309894 0.60737103 29791000000 9610000 310096 0.69270339 29848697208 9622404 310298 0.78511326 29906468864 9634816 3104

100 0.88476645 29964315016 9647236 3106102 0.99199357 30022235712 9659664 3108104 1.1073654 30080231000 9672100 3110106 1.23105964 30138300928 9684544 3112108 1.36298944 30196445544 9696996 3114

110 1.5032214 30254664896 9709456 3116112 1.65232176 30312959032 9721924 3118114116 Resme+118120 Estadísticas de la regresión

122 $*e;ce+e , 0.999993343124 $*e;ce+e , 0.999986685126 R2 Gs, 0.999985206128 E* Hc* 0.00194568130 Osec*+e 31132

ANL!&#&# DE %AR&ANAGrados de liberta a de cuadra io de los cua

Rees:+ 3 7.67652187 2.55884062Res,*s 27 0.00010221 3.7857E006

T* 30 7.67662408

Coefcientes Error típico Estadístico t

&+ecec:+ 154942.2606 2301.34047 67.3269613%e 1 5.47382E006 7.8157E008 70.0358906%e 2 0.050047593 0.00072405 69.1217001%e 3 152.5257285 2.2358322 68.2187727

1

3150

3200

0ra1coA"traarea



0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00

2950

3000

3050

3100

1

2 "



Mes Vo" Ae () A % OFERTAme+s MM$

ENERO 0.80 0 0.0 1 12.0528

FEB. 0.80 4.8 2.4 2 17.5365475MAR. 0.80 4.8 4.8 3 14.1684965ABR. 0.80 4.8 4.8 4 5.00188171MAY. 0.80 4.8 4.8 5 1.6350197

JN. 0.63 4 4.4 6 1.04423743 J!. 0.52 3.75 3.9 7 0.53914041A"O. 0.52 3.75 3.8 8 0.54121378#ET. 0.34 2.79 3.3 9 0.53273438O$T. 0.14 0.6 1.7 10 0.28788754NO%. 0.03 1.3 1.0 11 0.54039701

D&$. 0.02 1 1.2 12 0.5696083

8 10 12 14

OFERTA

0 2 40

10

20

30

40

50

60



.5257283025K 154942.260449809

$*/m+ E



F r crítico de F

675927.687 6E066

Probabilidad erior 95 perior 95erior 95!" uperior 95!"

1.2910E031 150220 159664 150220.34.4763E032 5E006 6E006 5.31E006 5.6342E0066.3703E032 0.0515 0.0486 0.051533 0.048561969.0677E032 147.94 157.113 147.9382 157.113277





% DEMANDAMM$

12.0528 10.08624 10.08624 1 1.967

29.5893475 14.0274812 24.1137212 2 5.47643.7578441 14.1921593 38.3058805 3 5.45248.7597258 5.31724908 43.6231296 4 5.13750.3947455 5.38752483 49.0106544 5 1.38451.4389829 2.68036618 51.6910206 6 0.25251.9781233 0.30221976 51.9932403 7 0.01552.5193371 0.46475941 52.4579997 8 0.06153.0520715 0.45268945 52.9106892 9 0.141

53.339959 0.46078842 53.3714776 10 0.03253.880356 0.45147351 53.8229511 11 0.057

54.4499643 3.0831039 56.906055 12 2.456

6 8 10 12 14

$ms









0 2 4 6 8 10 12 14

3.000

2.000

1.000

0.000

1.000

2.000

3.000

4.000

5.000

6.000crva $asa

















BALANCE HIDRICO EN EL EMBALSE

OFERTA DEMMes Dias Precipitación Precipitación Qec. Q inn.

(mm) (mm) (m3/s) (m3/s)

ENERO 31 228.9 228.9 0.1 1FEB. 29 237.4 237.4 0.1 1MAR. 31 225.4 225.4 0.1 1ABR. 30 95.5 95.5 0.1 1MAY. 31 56.2 56.2 0.1 1

JN. 30 34 34 0.1 0 J!. 31 12.1 12.1 0.1 0A"O. 31 40.6 40.6 0.1 0#ET. 30 73 73 0.1 0O$T. 31 98.3 98.3 0.1 0

NO%. 30 99.1 99.1 0.1 0D&$. 31 213.2 213.2 0.1 1

DEF&$&T OFERTADEMANDAD*+,e-Qe= ca!a" !e in#reso $ensa" a" e$%a"se &$'(s) se c*"c"a +1)#e e,e e+c*+ ,e ce,* + ** +es* emse +* se c*+s,e* e*c:+ e +;c:+ es*s *es ,e ** s*+ c,*s c*+ ss ,,2) $+,* +* se e+e esc*+es ,e ** se ,eem+ e escme+* me+s c+,* s ,ee+es ,,s ,e +;c:+< e*c:+ e= e +ce >,c*ce+c. ?e* ce+cs e@es s = *m-%M $?mAD*+,e- $- c*e;ce+e ,e escme+* ?- ecc:+ ? ,e mes A - e ,e ce+cP= precipitación $ensa" so%re e" e$%a"se &$$)

OFERTA (Qe N,86400C?A104)/106DEMANDA ((Qs, C QcCQec.)N,86400C(ECF)A104)/106

Qs!= $, ,e s, me+s sscc:+ ,e ,em+,s ,e emse (m3

Qci = $, ,e s, me+s e c*+* ,e ++,c*+es ,e emse (m3/s)

Qec. = $, ec**c* me+s c*+sec:+ ,e + * s E = E*c:+ me+s e+ e emse (mm)

, = +;c:+ me+s e+ e emse (mm)

A = e me+s ,e emse (Pm2)

N! = +Ime* ,e ,s ,e emse



%*me+ 7.46 MM$%*me+ me* 2.49 MM$%*me+ T* 9.95 MM$

$c* ,e Amce+me+* Ae + emseA"tra &$) Area &$-) Vo"$en &$') Vo"$en &MMC) VA &MMC) Area &a)

4463 7329.039 0 0 0 0.734464 26550.117 15942.9 0.016 0.016 2.664465 59875.308 42098.8 0.042 0.058 5.994466 102864.468 80406.4 0.080 0.138 10.294467 177045.588 138286.9 0.138 0.277 17.704468 269713.974 221760.4 0.222 0.498 26.974470 570969.711 822073.4 0.822 1.321 57.10

4471 638484.512 604412.8 0.604 1.925 63.854472 719765.986 678719.5 0.679 2.604 71.984473 780262.878 749811.0 0.750 3.354 78.03

4474 831201.123 805597.8 0.806 4.159 83.124475 967903.400 898685.4 0.899 5.058 96.794476 997297.700 982563.9 0.983 6.040 99.734477 1026692.36 1011959.5 1.012 7.052 102.674480 1208223.918 3348682.1 3.349 10.401 120.82

Area /ot. &$ 8384180.082Vo". /ot &$' 10.401

DE/ERMINACI3N DE LAS C4RVAS ID,

A5o

Intensi!a! HistoP$*6. -7 r. I-7 Dración !e L"vi

&$$) &$$(r) 9 :; :91969 17.8 0.74 12.59 8.90 7.27

0 2 4 6 8 10 12 14 162950

3000

3050

3100

3150

32000ra1co A"tra 2 Vo"$en

. . 1 . 1 . 2 . 2 . . .

2

1

1

2

"



1970 26.2 1.09 18.53 13.10 10.701971 33.1 1.38 23.41 16.55 13.511972 20.2 0.84 14.28 10.10 8.251973 25.6 1.07 18.10 12.80 10.451974 22.6 0.94 15.98 11.30 9.231975 33.8 1.41 23.90 16.90 13.80

1976 27.2 1.13 19.23 13.60 11.101977 40.5 1.69 28.64 20.25 16.531978 35 1.46 24.75 17.50 14.291979 27.8 1.16 19.66 13.90 11.351980 28.8 1.20 20.36 14.40 11.761981 24.8 1.03 17.54 12.40 10.121982 45.6 1.90 32.24 22.80 18.62

?*me,* 21.01 15.32 13.00Des. #+,. 5.44 3.84 3.14+ ,*s 14 14 14

+ 0.51 0.51 0.51#+ 1.0095 1.0095 1.0095 5.386 3.808 3.110 18.268 13.379 11.412

T Dración !e "a ""via en $intos*s 9 :; :9 -; -9

5 26.34652621 19.091554922 16.0764060467 14.423263 13.408525 35.49506412 25.560548114 21.3583168699 18.997532 17.499950 39.28356257 28.239421062 23.5456074726 20.891781 19.194175 41.48558231 29.796484153 24.8169441622 21.992791 20.1789

100 43.04408735 30.898513633 25.7167474649 22.772044 20.8759

C4RVAS ID,

0 2 4 6 8 10 120

2

4

6

8

10

12

T 5*s

T 25*s

T 5 T 1*s



m*s e Tem* ,e c*+ce+c:+

Ae ,e ce+c 1.4 Pm2! 2693 m.

# 0.011 Tc 0.0003245(!/#0.5)0.77 Tc 48.39 m+.



NDA A B AB AB c.Evapor. Vo". C"tivo % OFERTA % DEMANDA

mm (MM$) MM$ MM$

39.85 2.14 5.3105 5.09 0.22 0.2237.33 2.16 5.7415 4.95 0.79 1.0117.54 2.16 5.4502 5.12 0.33 1.3433.12 1.11 2.2930 3.99 1.70 0.3629.29 1.12 1.3383 4.08 2.75 3.1027.49 1.12 0.8065 1.39 0.59 3.6940.41 0 0.2853 0.28 0.00 3.6940.21 0.17 0.9528 0.45 0.50 3.1836.85 0.17 1.7133 0.44 1.27 1.9139.63 0.17 2.3057 0.45 1.86 0.05

40.22 0.17 2.3236 0.44 1.88 1.8339.63 0.11 5.0101 3.07 1.94 3.78

,,ss.

+s,ee+

s)

G* ,e H* (m3/s)

0 2 4 6 8 10 120.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00



rica &$$(r)a8 en $intos

-; -9 ';6.29 5.63 5.14

0.00 5.00 10.00 15.00 20.00 25.00 30.00 35. 00

2950

3000

3050

3100

3150

3200

0ra1co A"traarea



9.26 8.29 7.5611.70 10.47 9.567.14 6.39 5.839.05 8.10 7.397.99 7.15 6.52

11.95 10.69 9.76

9.62 8.60 7.8514.32 12.81 11.6912.37 11.07 10.109.83 8.79 8.03

10.18 9.11 8.318.77 7.84 7.16

16.12 14.42 13.1611.76 11.02 10.582.72 2.43 2.22

14 14 14

0.51 0.51 0.511.0095 1.0095 1.00952.693 2.409 2.199

10.384 9.796 9.455

';12.753

16.487918.034518.933519.5697

0





Mes Vo" Ae () A % OFERTAme+s MM$

ENERO 5.49 98 0.0 1 12.0528000 12.0528FEB. 5.70 99 98.5 2 17.5365475 29.5893475MAR. 5.41 97 98.0 3 14.1684965 43.7578441ABR. 2.29 65 81.0 4 5.00188171 48.7597258MAY. 1.35 57.5 61.3 5 1.63501970 50.3947455

JN. 0.82 46.813 52.2 6 1.04423743 51.4389829 J!. 0.29 29.24 38.0 7 0.53914041 51.9781233A"O. 0.97 24.486 26.9 8 0.54121378 52.5193371#ET. 1.75 29.606 27.0 9 0.53273438 53.0520715O$T. 2.36 21.601 25.6 10 0.28788754 53.339959

NO%. 2.38 27.775 24.7 11 0.54039701 53.880356D&$. 5.12 32.169 30.0 12 0.5696083 54.4499643

14

$*m+ &

0 2 4 6 8 100

10

20

30

40

50

60









% DEMANDAMM$

10.08624 10.08624 1 1.96714.0274812 24.1137212 2 5.47614.1921593 38.3058805 3 5.4525.31724908 43.6231296 4 5.1375.38752483 49.0106544 5 1.3842.68036618 51.6910206 6 0.2520.30221976 51.9932403 7 0.0150.46475941 52.4579997 8 0.0610.45268945 52.9106892 9 0.1410.46078842 53.3714776 10 0.032

0.45147351 53.8229511 11 0.0573.0831039 56.906055 12 2.456

12 14

$*

m+ T

0 2

3.000

2.000

1.000

0.000

1.000

2.000

3.000

4.000

5.000

6.000









4 6 8 10 12 14

Cart /it"e







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Copia de Balance Hidrico3