parametros geomorfologicos de una cuenca

eResponsables: Crdova Alvarado, Jordyn Bagner. Patio Humbo, Luis Antonio. Pinedo Guerrero, Edwin. Quispe Huamn, Walter. Ramrez Cruz, Yalemi L. Silva Glvez, Reiner.

HIDROLOGIA SUPERFICIAL

Responsables:

Crdova Alvarado, Jordyn Bagner. Patio Humbo, Luis Antonio. Pinedo Guerrero, Edwin. Quispe Huamn, Walter. Ramrez Cruz, Yalemi L. Silva Glvez, Reiner.

Tema:

ESTUDIO HIDROLGICO DE LA CUENCA DEL RIO AMOJ

Ing. Coronel Delgado Jos Antonio

Responsables:

Crdova Alvarado, Jordyn Bagner. Patio Humbo, Luis Antonio. Pinedo Guerrero, Edwin. Quispe Huamn, Walter. Ramrez Cruz, Yalemi L. Silva Glvez, Reiner.

15

FACULTAD DE INGENIERIA JAN ESCUELA ACADEMICO PROFESIONAL DE INGENIERIA CIVIL

DEPARTAMENTO ACADMICO DE INGENIERA DE LOS RECURSOS HDRICOS

Universidad Nacional Ingeniera civil de Cajamarca - SJ VII - Ciclo

Ing. Jos Antonio Coronel Delgado. / HIDROLOGIA SUPERFICIAL.

ESTUDIO HIDROLGICO

DE LA

CUENCA

DEL

RIO AMOJ



CONTENIDO

I. UBICACIN DE LA CUENCA DEL RIO AMOJ. ............................................................................... 3

II. DELIMITACIN DE LA CUENCA DEL RIO AMOJ. .......................................................................... 4

III. ORDEN DEL CAUCE DE LA CUENCA DEL RIO AMOJ. .................................................................. 5

IV. REA ENTRE CURVA DE NIVEL DE LA CUENCA DEL RIO AMOJ. .................................................. 7

V. PERFIL LONGITUDINAL DEL CAUCE PRINCIPAL DE LA CUENCA DEL RIO AMOJ. ......................... 9

VI. PARMETROS GEOMORFOLGICOS DE LA CUENCA DEL RIO AMOJ. ....................................... 10

a. Parmetros de forma. ............................................................................................................ 11

b. Parmetros de relieve. ........................................................................................................... 13

c. Parmetros relativos a la red hidrogrfica ............................................................................... 26



I. UBICACIN DE LA

CUENCA DEL RIO

AMOJ.



II. DELIMITACIN DE LA

CUENCA DEL RIO

AMOJ.



III. ORDEN DEL CAUCE

DE LA CUENCA DEL RIO

AMOJ.



ORDEN DEL CAUCE PRINCIPAL DE LA CUENCA DEL RIO AMOJ

ORDEN N DISTANCIA TOTAL(KM)

1 34 51.33 2 19 21.17 3 4 6.84

rio 1 23.59 Suma = 58 102.930



IV. REA ENTRE CURVA

DE NIVEL DE LA

CUENCA DEL RIO

AMOJ.



REA ENTRE CURVA DE NIVEL DE LA CUENCA DEL RIO AMOJ

N

ALTITUD (MSNM) REA PARCIAL

A (KM2)

REA

ACUM. (KM2) MS BAJA MS ALTA MEDIA

1 745 900 822.5 3.01 3.01

2 900 1100 1000 7.28 10.29

3 1100 1300 1200 11.53 21.82

4 1300 1500 1400 14.75 36.57

5 1500 1700 1600 17.21 53.78

6 1700 1900 1800 24.78 78.56

7 1900 2100 2000 29.14 107.70

8 2100 2300 2200 24.47 132.17

9 2300 2500 2400 13.68 145.84

10 2500 2700 2600 6.71 152.55

11 2700 2900 2800 3.12 155.67

12 2900 3000 2950 0.43 156.09

13 3000 3100 3050 0.03 156.12

= 156.12



V. PERFIL

LONGITUDINAL DEL

CAUCE PRINCIPAL DE

LA CUENCA DEL RIO

AMOJ.



VI. PARMETROS

GEOMORFOLGICOS DE

LA CUENCA DEL RIO

AMOJ.



a. Parmetros de forma.

1. rea (A):

A=156.12 km2

2. Permetro (P):

P=59.80 km

TAMAO KM2 DESCRIPCIN

< 25 Muy pequea

25 - 250 Pequea

250 - 500 Intermedia a pequea

500 - 2500 Intermedia a grande

2500 - 5000 Grande

> 5000 Muy grande

Conclusin:

Nuestra cuenca de estudio es Considerada pequea.

3. Coeficiente de Gravelius o ndice de compacidad:

K = Coeficiente de Gravelius P = Permetro de la cuenca en Kilmetros A = rea de la cuenca en Km.

= . K Forma de cuenca

1.00 - 1.25 Redonda

1.26 - 1.50 Ovalada

1.51 - 1.75 Oblonga o rectangular

Conclusin:

Cuenca Ovalada

4. Longitud del cauce principal:

Es la medida de escurrimiento principal de la cuenca medido desde la parte ms alta hasta el punto

de salida.

Longitud desde el punto ms extremo de la cuenca en relacin con el punto de aforo 23585.8 m.

= .

Rangos de Longitud Clases de Longitud del Cauce

6.9 - 10.9 Corto

11' - 15 Mediano

15.1 - 19.1 Largo

= .



5. Orden de cauce de la cuenca del rio Amoj:

6. Ancho promedio (An):

=

A = rea de la cuenca A =156.12 Km2

L = Longitud de mximo recorrido L = 17.6 km.

=156.122

17.6

= . 7. Factor de forma:

A = rea de la cuenca

A =156.12 Km2

L = Longitud de mximo recorrido L = 17.6 km.

= . Rangos de F Clases de forma

0.01 - 0.18 Muy poco achatada

0.18 -0.36 Ligeramente achatada

0.36 -0.54 Moderadamente achatada

Cuando el valor de F es superior a la unidad nos proporciona el grado de achatamiento de la cuenca o el

del rio principal corto. Por tanto genera fcilmente grandes avenidas.

Cuadro resumen de parmetros de forma de la

cuenca del rio Amoj. rea de la cuenca del Rio Amoj = . Permetro de la cuenca del Rio Amoj = . ndice de compacidad o coeficiente de Gravelius = . Longitud del cauce principal = . Orden de cauce de la cuenca del rio Amoj Factor forma = .

=



b. Parmetros de relieve.

1. Rectngulo Equivalente:

=

1.12(1 + 1 (

1.12

)2

) = 23.16

=

1.12(1 1 (

1.12

)2

) = 6.74

0 = 0.446

1 = 1.080

2 = 1.711

3 = 2.189

4 = 2.553

5 = 3.676

6 = 4.322

7 = 3.630

8 = 2.029

9 = 0.995

10 = 0.463

11 = 0.063

12 = 0.004



2. Curva hipsomtrica:

N

ALTITUD (msnm) rea

Parcial a

(km2)

rea Acum.

(km2)

rea sobre

la altitud

(km2)

% del

total

%

restante Ms baja ms alta media

- - 745 745 0 0 156.12 0 100

1 745 900 822.5 3.01 3.01 153.12 1.93 98.07

2 900 1100 1000 7.28 10.29 145.84 4.66 93.41

3 1100 1300 1200 11.53 21.82 134.31 7.39 86.03

4 1300 1500 1400 14.75 36.57 119.55 9.45 76.58

5 1500 1700 1600 17.21 53.78 102.34 11.02 65.55

6 1700 1900 1800 24.78 78.56 77.56 15.87 49.68

7 1900 2100 2000 29.14 107.70 48.42 18.66 31.02

8 2100 2300 2200 24.47 132.17 23.96 15.67 15.35

9 2300 2500 2400 13.68 145.84 10.28 8.76 6.585

10 2500 2700 2600 6.71 152.55 3.57 4.30 2.289

11 2700 2900 2800 3.12 155.67 0.45 2.00 0.291

12 2900 3100 3000 0.43 156.09 0.03 0.27 0.018

13 3100 3127 3113.6 0.03 156.12 0.00 0.02 0

= 156.12 100.00

3. Curvas hipsomtricas caractersticas:

a. Etapa de desequilibrio.

Cuenca geolgicamente joven. Cuenca de meseta.

b. Etapa de equilibrio.

Cuenca geolgicamente madura. Cuenca de pie de montaa.

c. Cuenca erosionada.

Cuenca de valle.

Conclusin: De acuerdo a la figura nuestra cuenca est en la etapa de equilibrio, siendo una cuenca

geolgicamente madura o denominada tambin cuenca de pie de montaa.



4. Cuadro de frecuencias:

Altitud media: Segn el grafico de la curva hipsomtrica: =1850 m.s.n.m.

La variacin longitudinal incide directamente en la distribucin trmica, por lo tanto la existencia

de microclimas y los hbitats. Da una base para caracterizar zonas climatolgicas y ecolgicas

en ella.

Segn el uso de una frmula:

= Elevacin media. = rea entre dos contornos. = Elevacin media entre dos contornos. = rea total de la cuenca.

a e a*e

3.0 822.5 2472.15

7.3 1000 7280.04

11.5 1200 13836.70

14.8 1400 20656.26

17.2 1600 27537.23

24.8 1800 44607.19

29.1 2000 58271.01

24.5 2200 53827.58

13.7 2400 32826.30

6.7 2600 17435.26

3.1 2800 8737.17

0.4 2950 1254.08

0.0 3500 87.12

156.1 288828.69

=288828.69

156.1= 1850 . . ..

Altitud ms frecuente: = 2100 m.s.n.m.

=( )



5. Coeficiente de masividad:

Est relacionado con la erosin de la cuenca. Permite diferenciar cuencas de igual altura media.

Se representa por.

= ()

Donde: Altura Media o Em (H): 1.85 km Superficie cuenca (A): 156.1 km2

Coeficiente de masividad (T): 0.0118

"T" toma valores bajos para zonas montaosas y altos en cuencas llanas.

Rangos de "T" Clases de Masividad

0 - 35 Muy montaosa

35 - 70 Montaosa

70 - 105 Moderadamente montaosa

6. Coeficiente de orogrfico:

Es el producto de la altura media por el coeficiente de masividad

= = .

El coeficiente orogrfico ha servido para caracterizar el relieve de las cuencas hidrogrficas y ha

sido igualmente investigado con miras a obtener la degradacin cuantitativa del suelo bajo los

efectos de la accin del clima. Este importante parmetro mide la relacin de las fuerzas

potenciales.

7. ndice de pendiente:

= ( )

=

= .

n = Numero de curvas en el rectngulo equivalente incluido los extremos. ai = Cotas de las curvas de nivel consideradas (Km) Bi = Fraccin de la superficie total de una cuenca. L = Longitud del rectngulo mayor del rectngulo equivalente (Km).

N

ALTITUD (msnm) rea Parcial

a (km2)

rea

Acum. (km2) Pendiente %

Ms baja ms alta media

1 745 900 822.5 3.01 3.01 0.126

2 900 1100 1000 7.28 10.29 0.216

3 1100 1300 1200 11.53 21.82 0.298

4 1300 1500 1400 14.75 36.57 0.364

5 1500 1700 1600 17.21 53.78 0.420

6 1700 1900 1800 24.78 78.56 0.535

7 1900 2100 2000 29.14 107.70 0.611

8 2100 2300 2200 24.47 132.17 0.587

9 2300 2500 2400 13.68 145.84 0.459

10 2500 2700 2600 6.71 152.55 0.334

11 2700 2900 2800 3.12 155.67 0.237

12 2900 3000 2950 0.43 156.09 0.09

13 3000 3100 3050 0.03 156.12 0.024

= 156.12 0.893



8. Pendiente del cauce principal segn la ecuacin de Taylor y Schwartz:

=

[

1

1+

1

2+ +

1

] 2

Donde:

S: Pendiente uniforme H: Diferencia de cotas entre los extremos del cauce L: Longitud del cauce principal

N

tramos

DH

(Km) DH (m) COTA

PENDIENTE

(%) 1/raz(sn)

1 0.00 0.00 2720 0.00 -

2 0.50 500.00 2550 34.00 1.715

3 1.00 1000.00 2380 34.00 1.715

4 1.50 1500.00 2185 39.00 1.601

5 2.00 2000.00 2070 23.00 2.085

6 2.50 2500.00 1983 17.40 2.397

7 3.00 3000.00 1978 1.00 10.000

8 3.50 3500.00 1952 5.20 4.385

9 4.00 4000.00 1830 24.40 2.024

10 4.50 4500.00 1791 7.80 3.581

11 5.00 5000.00 1785 1.20 9.129

12 5.50 5500.00 1740 9.00 3.333

13 6.00 6000.00 1702 7.60 3.627

14 6.50 6500.00 1590 22.40 2.113

15 7.00 7000.00 1584 1.20 9.129

16 7.50 7500.00 1558 5.20 4.385

17 8.00 8000.00 1508 10.00 3.162

18 8.50 8500.00 1420 17.60 2.384

19 9.00 9000.00 1395 5.00 4.472

20 9.50 9500.00 1390 1.00 10.000

21 10.00 10000.00 1387 0.60 12.910

22 10.50 10500.00 1373 2.80 5.976

23 11.00 11000.00 1364 1.80 7.454

24 11.50 11500.00 1320 8.80 3.371

25 12.00 12000.00 1191 25.80 1.969

26 12.50 12500.00 1160 6.20 4.016

27 13.00 13000.00 1101 11.80 2.911

28 13.50 13500.00 1090 2.20 6.742

29 14.00 14000.00 1075 3.00 5.774

30 14.50 14500.00 1043 6.40 3.953

31 15.00 15000.00 995 9.60 3.227

32 15.50 15500.00 983 2.40 6.455

33 16.00 16000.00 963 4.00 5.000

34 16.50 16500.00 943 4.00 5.000

35 17.00 17000.00 903 8.00 3.536

36 17.50 17500.00 870 6.60 3.892

315

1

=1

= 163.42



=

[

1

1+

1

2+ +

1

] 2

= 0.049 = 4.90%

El tramo ms largo del cauce, est dado

segn la imagen mostrada:

Rango de pendientes Clases

0.01 -0.05 Suave

0.06 - 0.11 Moderada

0.12 - 0.17 Fuerte

9. Pendiente de la cuenca:

i. Segn el Mtodo de Alvord y dentro de las analticas la que se expresa mediante la siguiente

ecuacin:

=11 + (2 + 3 + + 1) +

= 37% Donde:

D1 = Desnivel en la parte ms baja, en Km. Dn = Desnivel en la parte ms alta, en Km. D = Desnivel constante entre las curvas de nivel, en Km. A = rea de la cuenca, en Km2.

Pendiente % Tipo de terreno

2 Llano

5 Suave

10 Accidentado Medio

15 Accidentado

25 Fuerte Accidentado

50 Escarpado

>50 Muy escarpado

COTA LONGITUD

D (KM) (m) (km)

2800 6217.30 6.22 0.12

2600 9701.63 9.70 0.20

2400 22019.39 22.02 0.20

2200 43270.97 43.27 0.20

2000 56788.83 56.79 0.20

1800 52905.05 52.91 0.20

1600 39609.94 39.61 0.20

1400 34435.27 34.44 0.20

1200 19845.52 19.85 0.20

1000 8137.47 8.14 0.20

800 8050.26 8.05 0.10

Conclusin:

Por tanto, nuestra cuenca de estudio es un terreno escarpado.



ii. Segn ALVORD

=

=

Donde:

D = Equidistancia de las curvas de nivel. li = Longitud de la C.N. de orden "i"

N DE LNEAS DE MALLA INTERSECCIONES LONGITUD (KM)

D (KM)

Eje "X" EJE "Y" Nx Ny Lx Ly

1 A 1 0 0.020699 0.00 0.25

2 B 10 0 7.656337 0.00 0.25

3 C 13 1 12.294675 1.25 0.25

4 D 13 7 13.372461 5.55 0.25

5 E 14 5 15.291271 7.22 0.25

6 F 22 7 15.888107 8.49 0.25

7 G 22 5 16.795203 10.03 0.25

8 H 16 6 17.177473 11.54 0.25

9 I 25 14 17.692546 11.25 0.25

10 J 10 12 16.934045 10.79 0.25

11 K 8 12 10.463462 10.90 0.25

12 L 2 10 6.539352 11.13 0.25

13 M 0 10 4.401263 10.23 0.25

14 N 0 19 0.37107 9.67 0.25

15 - - 19 - 9.92 0.25

16 - - 12 - 9.49 0.25

17 - - 13 - 8.85 0.25

18 - - 9 - 8.30 0.25

19 - - 6 - 7.34 0.25

20 - - 4 - 4.84 0.25

21 - - 0 - 0.00 0.25

156 171 154.90 156.81 0.25

=

= 0.25

=

= 0.27

Promedio Aritmtico: =

+ 2

= 0.26

Promedio Geomtrico:

= = 0.26

Promedio Ponderado: = 0.26

Por tanto, la pendiente segn Horton es 26 %



iii. Segn NASH:

Interseccin Coordenadas Distancia

mnima (km) Pendiente EQUIDISTANCIA

1 1 4 0.57 43.86% 0.25

2 1 5 0.69 36.23% 0.25

3 1 6 0.66 37.88% 0.25

4 2 6 0.92 27.17% 0.25

5 2 5 0.65 38.46% 0.25

6 2 4 1.48 16.89% 0.25

7 2 3 1.2 20.83% 0.25

8 2 2 1.1 22.73% 0.25

9 3 6 1.09 22.94% 0.25

10 3 5 1 25.00% 0.25

11 3 4 0.46 54.35% 0.25

12 3 3 2.15 11.63% 0.25

13 3 2 0.42 59.52% 0.25

14 4 6 0.82 30.49% 0.25

15 4 5 0.7 35.71% 0.25

16 4 4 1.27 19.69% 0.25

17 4 3 0.66 37.88% 0.25

18 4 2 2.27 11.01% 0.25

19 5 6 0.6 41.67% 0.25

20 5 5 0.61 40.98% 0.25

21 5 4 1.11 22.52% 0.25

22 5 3 0.37 67.57% 0.25

23 5 2 1.45 17.24% 0.25

24 5 1 0.71 35.21% 0.25

25 6 1 1.1 22.73% 0.25

26 6 2 0.57 43.86% 0.25

27 6 3 0.77 32.47% 0.25

28 6 4 0.5 50.00% 0.25

29 6 5 0.82 30.49% 0.25

30 7 4 0.74 33.78% 0.25

31 7 3 0.41 60.98% 0.25

32 7 2 0.83 30.12% 0.25

33 7 1 1.51 16.56% 0.25

34 8 2 0.91 27.47% 0.25

35 8 3 1.34 18.66% 0.25

36 8 4 0.65 38.46% 0.25

PENDIENTE DE LA CUENCA = 32.86% 0.25



iv. Clculo de pendiente media de una cuenca por el programa CIVIL 3D.

N PEND. MIN. PEND.

MAX.

PEND.

MEDIA AREA 2D AREA 3D P*A2D P*A3D

1 0.00% 4.29% 2.15% 781,815.49 782,179.8 16,770 16,777.76

2 4.29% 6.03% 5.16% 780,720.00 781,789.7 40,285 40,340.35

3 6.03% 7.37% 6.70% 780,720.00 782,492.1 52,308 52,426.97

4 7.37% 8.50% 7.94% 780,354.83 782,827.3 61,921 62,117.34

5 8.50% 9.52% 9.01% 779,989.67 783,162.2 70,277 70,562.91

6 9.52% 10.42% 9.97% 783,641.31 787,524.7 78,129 78,516.21

7 10.42% 11.23% 10.83% 778,163.85 782,713.3 84,236 84,728.71

8 11.23% 12.04% 11.64% 780,354.83 785,612.7 90,794 91,406.04

9 12.04% 12.76% 12.40% 781,085.16 787,066.3 96,855 97,596.22

10 12.76% 13.42% 13.09% 780,354.83 787,015.8 102,148 103,020.37

11 13.42% 14.08% 13.75% 781,085.16 788,445.6 107,399 108,411.27

12 14.08% 14.71% 14.40% 781,085.16 789,134.5 112,437 113,595.91

13 14.71% 15.34% 15.03% 779,989.67 788,757.6 117,193 118,510.83

14 15.34% 15.92% 15.63% 780,720.00 790,204.0 122,027 123,508.89

15 15.92% 16.49% 16.21% 780,720.00 790,913.9 126,516 128,167.60

16 16.49% 17.01% 16.75% 783,641.31 794,563.1 131,260 133,089.31

17 17.01% 17.53% 17.27% 777,798.69 789,310.0 134,326 136,313.84

18 17.53% 18.02% 17.78% 780,720.00 792,950.6 138,773 140,946.97

19 18.02% 18.51% 18.27% 780,720.00 793,639.6 142,599 144,958.27

20 18.51% 18.97% 18.74% 781,450.32 795,051.4 146,444 148,992.63

21 18.97% 19.42% 19.20% 779,989.67 794,232.6 149,719 152,452.94

22 19.42% 19.87% 19.65% 783,276.14 798,242.9 153,875 156,814.81

23 19.87% 20.31% 20.09% 779,624.51 795,201.4 156,627 159,755.97

24 20.31% 20.73% 20.52% 779,989.67 796,251.4 160,054 163,390.78

25 20.73% 21.15% 20.94% 779,989.67 796,913.7 163,330 166,873.73



26 21.15% 21.57% 21.36% 781,085.16 798,701.1 166,840 170,602.55

27 21.57% 21.98% 21.78% 780,720.00 799,014.5 170,002 173,985.41

28 21.98% 22.37% 22.18% 780,354.83 799,298.8 173,044 177,244.52

29 22.37% 22.77% 22.57% 780,720.00 800,356.7 176,209 180,640.51

30 22.77% 23.17% 22.97% 781,085.16 801,423.0 179,415 184,086.85

31 23.17% 23.55% 23.36% 780,354.83 801,365.7 182,291 187,199.02

32 23.55% 23.93% 23.74% 780,720.00 802,420.7 185,343 190,494.66

33 23.93% 24.31% 24.12% 780,720.00 803,109.2 188,310 193,709.94

34 24.31% 24.68% 24.50% 780,720.00 803,789.1 191,237 196,888.13

35 24.68% 25.04% 24.86% 781,450.32 805,251.9 194,269 200,185.63

36 25.04% 25.41% 25.23% 781,450.32 805,931.1 197,121 203,296.11

37 25.41% 25.77% 25.59% 781,450.32 806,630.5 199,973 206,416.74

38 25.77% 26.11% 25.94% 778,529.01 804,295.3 201,950 208,634.21

39 26.11% 26.46% 26.29% 782,545.82 809,132.7 205,692 212,680.52

40 26.46% 26.80% 26.63% 779,989.67 807,163.8 207,711 214,947.71

41 26.80% 27.16% 26.98% 779,989.67 807,867.5 210,441 217,962.66

42 27.16% 27.49% 27.33% 780,354.83 808,953.7 213,232 221,046.60

43 27.49% 27.80% 27.65% 781,815.49 811,152.3 216,133 224,243.04

44 27.80% 28.13% 27.97% 779,624.51 809,536.8 218,022 226,386.97

45 28.13% 28.45% 28.29% 781,085.16 811,739.3 220,969 229,641.06

46 28.45% 28.78% 28.62% 781,450.32 812,807.7 223,612 232,584.92

47 28.78% 29.08% 28.93% 779,624.51 811,580.0 225,545 234,790.11

48 29.08% 29.39% 29.24% 781,085.16 813,783.9 228,350 237,909.71

49 29.39% 29.70% 29.55% 784,371.63 817,892.5 231,743 241,646.35

50 29.70% 30.01% 29.86% 775,972.87 809,820.4 231,667 241,771.87

51 30.01% 30.32% 30.17% 781,450.32 816,233.4 235,724 246,216.80

52 30.32% 30.63% 30.48% 779,989.67 815,406.7 237,702 248,495.19

53 30.63% 30.93% 30.78% 779,989.67 816,105.0 240,081 251,197.12

54 30.93% 31.22% 31.08% 779,989.67 816,790.7 242,382 253,817.72

55 31.22% 31.51% 31.37% 781,450.32 818,993.5 245,102 256,877.32

56 31.51% 31.80% 31.66% 781,085.16 819,293.2 247,253 259,347.26

57 31.80% 32.09% 31.95% 778,894.18 817,671.9 248,818 261,205.29

58 32.09% 32.37% 32.23% 781,085.16 820,656.6 251,744 264,497.64

59 32.37% 32.67% 32.52% 780,354.83 820,589.1 253,771 266,855.58

60 32.67% 32.96% 32.82% 779,259.34 820,140.9 255,714 269,129.23

61 32.96% 33.23% 33.10% 784,006.47 825,822.3 259,467 273,305.90

62 33.23% 33.51% 33.37% 777,068.36 819,199.8 259,308 273,366.97

63 33.51% 33.79% 33.65% 780,720.00 823,746.1 262,712 277,190.56

64 33.79% 34.07% 33.93% 780,354.83 824,066.7 264,774 279,605.84

65 34.07% 34.36% 34.22% 779,989.67 824,393.0 266,873 282,066.05

66 34.36% 34.64% 34.50% 780,354.83 825,503.7 269,222 284,798.78

67 34.64% 34.92% 34.78% 781,085.16 826,994.4 271,661 287,628.64

68 34.92% 35.19% 35.06% 779,259.34 825,764.2 273,169 289,471.65

69 35.19% 35.47% 35.33% 781,085.16 828,415.8 275,957 292,679.32

70 35.47% 35.73% 35.60% 781,085.16 829,127.5 278,066 295,169.39



71 35.73% 36.00% 35.87% 778,894.18 827,492.8 279,350 296,780.30

72 36.00% 36.27% 36.14% 780,720.00 830,118.3 282,113 299,963.23

73 36.27% 36.53% 36.40% 779,989.67 830,054.0 283,916 302,139.67

74 36.53% 36.81% 36.67% 780,354.83 831,174.4 286,156 304,791.66

75 36.81% 37.08% 36.95% 780,354.83 831,905.7 288,302 307,347.56

76 37.08% 37.34% 37.21% 780,354.83 832,635.5 290,370 309,823.68

77 37.34% 37.60% 37.47% 781,085.16 834,126.2 292,673 312,547.10

78 37.60% 37.86% 37.73% 780,720.00 834,464.1 294,566 314,843.31

79 37.86% 38.13% 38.00% 779,989.67 834,388.3 296,357 317,025.85

80 38.13% 38.39% 38.26% 779,624.51 834,722.2 298,284 319,364.69

81 38.39% 38.64% 38.52% 784,371.63 840,533.4 302,101 323,731.43

82 38.64% 38.91% 38.78% 776,703.20 833,053.1 301,167 323,016.34

83 38.91% 39.18% 39.05% 779,989.67 837,340.5 304,547 326,939.60

84 39.18% 39.43% 39.31% 780,720.00 838,859.2 306,862 329,713.61

85 39.43% 39.69% 39.56% 780,720.00 839,593.0 308,853 332,142.97

86 39.69% 39.96% 39.83% 779,624.51 839,179.4 310,485 334,203.18

87 39.96% 40.22% 40.09% 781,085.16 841,524.6 313,137 337,367.21

88 40.22% 40.49% 40.36% 779,624.51 840,729.1 314,617 339,276.22

89 40.49% 40.74% 40.62% 780,720.00 842,648.3 317,089 342,241.59

90 40.74% 41.00% 40.87% 779,989.67 842,616.4 318,782 344,377.31

91 41.00% 41.26% 41.13% 780,354.83 843,794.9 320,960 347,052.84

92 41.26% 41.52% 41.39% 781,085.16 845,360.9 323,291 349,894.86

93 41.52% 41.77% 41.65% 779,989.67 844,928.8 324,827 351,870.62

94 41.77% 42.02% 41.90% 780,720.00 846,485.8 327,083 354,635.24

95 42.02% 42.28% 42.15% 780,354.83 846,858.6 328,920 356,950.91

96 42.28% 42.53% 42.41% 783,641.31 851,198.3 332,303 360,950.65

97 42.53% 42.78% 42.66% 777,068.36 844,827.2 331,459 360,361.04

98 42.78% 43.05% 42.92% 780,354.83 849,189.2 334,889 364,429.53

99 43.05% 43.30% 43.18% 781,085.16 850,777.9 337,234 367,323.34

100 43.30% 43.56% 43.43% 779,259.34 849,579.1 338,432 368,972.19

101 43.56% 43.81% 43.69% 780,720.00 851,981.2 341,058 372,188.00

102 43.81% 44.06% 43.94% 779,624.51 851,560.7 342,528 374,133.18

103 44.06% 44.32% 44.19% 781,085.16 853,946.0 345,162 377,358.74

104 44.32% 44.59% 44.46% 780,354.83 853,996.7 346,907 379,644.25

105 44.59% 44.85% 44.72% 780,354.83 854,825.7 348,975 382,278.04

106 44.85% 45.10% 44.98% 781,450.32 856,846.3 351,457 385,366.62

107 45.10% 45.35% 45.23% 778,894.18 854,856.2 352,255 386,608.69

108 45.35% 45.60% 45.48% 779,989.67 856,874.4 354,700 389,663.64

109 45.60% 45.86% 45.73% 780,354.83 858,089.6 356,856 392,404.38

110 45.86% 46.12% 45.99% 781,085.16 859,720.8 359,221 395,385.58

111 46.12% 46.38% 46.25% 780,354.83 859,781.2 360,914 397,648.82

112 46.38% 46.63% 46.51% 779,989.67 860,202.8 362,734 400,037.29

113 46.63% 46.88% 46.76% 781,815.49 863,055.5 365,538 403,521.62

114 46.88% 47.13% 47.01% 779,259.34 861,059.6 366,291 404,741.06

115 47.13% 47.39% 47.26% 779,624.51 862,314.6 368,451 407,529.87



116 47.39% 47.66% 47.53% 780,720.00 864,414.6 371,037 410,813.06

117 47.66% 47.92% 47.79% 780,354.83 864,900.7 372,932 413,336.04

118 47.92% 48.20% 48.06% 780,720.00 866,201.9 375,214 416,296.62

119 48.20% 48.45% 48.33% 780,354.83 866,701.4 377,106 418,833.45

120 48.45% 48.72% 48.59% 779,624.51 866,785.5 378,781 421,127.74

121 48.72% 48.99% 48.86% 780,354.83 868,507.0 381,242 424,309.08

122 48.99% 49.28% 49.14% 780,354.83 869,482.0 383,427 427,219.99

123 49.28% 49.56% 49.42% 782,545.82 872,900.4 386,734 431,387.36

124 49.56% 49.85% 49.71% 778,894.18 869,782.3 387,149 432,325.28

125 49.85% 50.12% 49.99% 779,989.67 871,985.2 389,878 435,861.78

126 50.12% 50.40% 50.26% 779,989.67 872,942.4 392,023 438,740.86

127 50.40% 50.68% 50.54% 781,450.32 875,592.7 394,945 442,524.54

128 50.68% 50.95% 50.82% 779,624.51 874,509.0 396,166 444,381.76

129 50.95% 51.23% 51.09% 781,085.16 877,123.9 399,056 448,122.59

130 51.23% 51.52% 51.38% 779,989.67 876,887.6 400,720 450,501.01

131 51.52% 51.80% 51.66% 780,720.00 878,712.6 403,320 453,942.90

132 51.80% 52.09% 51.95% 779,259.34 878,113.1 404,786 456,135.85

133 52.09% 52.38% 52.24% 780,354.83 880,383.5 407,618 459,868.34

134 52.38% 52.67% 52.53% 781,085.16 882,262.9 410,265 463,408.60

135 52.67% 52.97% 52.82% 779,989.67 882,118.0 411,991 465,934.70

136 52.97% 53.27% 53.12% 781,450.32 884,852.2 415,106 470,033.50

137 53.27% 53.56% 53.42% 779,259.34 883,473.2 416,241 471,907.19

138 53.56% 53.87% 53.72% 779,989.67 885,392.5 418,971 475,588.57

139 53.87% 54.17% 54.02% 781,085.16 887,756.4 421,942 479,565.99

140 54.17% 54.46% 54.32% 779,624.51 887,211.1 423,453 481,888.68

141 54.46% 54.77% 54.62% 780,354.83 889,170.4 426,191 485,620.40

142 54.77% 55.09% 54.93% 780,354.83 890,333.3 428,649 489,060.08

143 55.09% 55.41% 55.25% 780,720.00 891,941.2 431,348 492,797.52

144 55.41% 55.71% 55.56% 780,720.00 893,117.7 433,768 496,216.21

145 55.71% 56.04% 55.88% 780,354.83 893,908.5 436,023 499,471.37

146 56.04% 56.36% 56.20% 780,720.00 895,564.0 438,765 503,306.97

147 56.36% 56.68% 56.52% 779,989.67 895,960.0 440,850 506,396.58

148 56.68% 57.01% 56.85% 779,624.51 896,802.9 443,178 509,787.63

149 57.01% 57.35% 57.18% 780,720.00 899,363.8 446,416 514,256.19

150 57.35% 57.70% 57.53% 779,989.67 899,856.8 448,689 517,642.64

151 57.70% 58.04% 57.87% 780,354.83 901,618.6 451,591 521,766.68

152 58.04% 58.39% 58.22% 780,354.83 902,962.3 454,284 525,659.53

153 58.39% 58.75% 58.57% 780,354.83 904,353.7 457,054 529,679.94

154 58.75% 59.13% 58.94% 780,354.83 905,798.8 459,941 533,877.79

155 59.13% 59.50% 59.32% 780,720.00 907,700.2 463,084 538,402.36

156 59.50% 59.88% 59.69% 779,989.67 908,382.4 465,576 542,213.42

157 59.88% 60.27% 60.08% 781,815.49 912,055.3 469,676 547,917.21

158 60.27% 60.66% 60.47% 778,894.18 910,191.2 470,958 550,347.10

159 60.66% 61.04% 60.85% 780,720.00 913,900.6 475,068 556,108.53

160 61.04% 61.44% 61.24% 779,989.67 914,617.3 477,666 560,111.62



161 61.44% 61.85% 61.65% 780,354.83 916,704.0 481,050 565,102.19

162 61.85% 62.26% 62.06% 780,354.83 918,377.1 484,249 569,898.93

163 62.26% 62.69% 62.48% 780,720.00 920,562.3 487,755 575,121.32

164 62.69% 63.13% 62.91% 779,989.67 921,516.0 490,692 579,725.71

165 63.13% 63.59% 63.36% 780,354.83 923,798.9 494,433 585,318.98

166 63.59% 64.05% 63.82% 780,354.83 925,708.7 498,022 590,787.32

167 64.05% 64.51% 64.28% 780,720.00 928,101.8 501,847 596,583.86

168 64.51% 64.98% 64.75% 780,720.00 930,113.2 505,477 602,201.79

169 64.98% 65.47% 65.23% 779,624.51 930,808.9 508,510 607,120.13

170 65.47% 65.97% 65.72% 780,354.83 933,765.6 512,849 613,670.73

171 65.97% 66.51% 66.24% 781,085.16 936,886.8 517,391 620,593.80

172 66.51% 67.03% 66.77% 780,720.00 938,749.1 521,287 626,802.79

173 67.03% 67.56% 67.30% 779,259.34 939,274.4 524,403 632,084.71

174 67.56% 68.13% 67.85% 781,085.16 943,908.3 529,927 640,394.57

175 68.13% 68.70% 68.42% 779,624.51 944,638.0 533,380 646,274.07

176 68.70% 69.28% 68.99% 780,354.83 948,043.7 538,367 654,055.36

177 69.28% 69.89% 69.59% 780,354.83 950,705.5 543,010 661,548.43

178 69.89% 70.55% 70.22% 780,354.83 953,531.9 547,965 669,570.13

179 70.55% 71.24% 70.90% 780,354.83 956,576.3 553,233 678,164.77

180 71.24% 71.91% 71.58% 780,720.00 960,062.2 558,800 687,164.48

181 71.91% 72.64% 72.28% 779,989.67 962,352.6 563,738 695,540.34

182 72.64% 73.40% 73.02% 780,354.83 966,249.4 569,815 705,555.28

183 73.40% 74.19% 73.80% 780,354.83 969,852.2 575,863 715,702.46

184 74.19% 75.00% 74.60% 780,720.00 973,970.1 582,378 726,532.97

185 75.00% 75.90% 75.45% 779,989.67 977,098.6 588,502 737,220.89

186 75.90% 76.82% 76.36% 780,354.83 981,801.8 595,879 749,703.84

187 76.82% 77.86% 77.34% 781,450.32 987,888.8 604,374 764,033.20

188 77.86% 78.94% 78.40% 779,259.34 990,171.4 610,939 776,294.36

189 78.94% 80.10% 79.52% 780,720.00 997,496.1 620,829 793,208.89

190 80.10% 81.34% 80.72% 779,989.67 1,002,318 629,608 809,070.69

191 81.34% 82.78% 82.06% 780,354.83 1,009,491 640,359 828,388.55

192 82.78% 84.28% 83.53% 780,354.83 1,016,657 651,830 849,213.66

193 84.28% 86.01% 85.15% 780,354.83 1,024,831 664,433 872,592.05

194 86.01% 88.15% 87.08% 780,354.83 1,034,639 679,533 900,963.77

195 88.15% 90.57% 89.36% 780,354.83 1,046,450 697,325 935,108.13

196 90.57% 93.73% 92.15% 780,354.83 1,061,075 719,097 977,780.77

197 93.73% 97.70% 95.72% 780,354.83 1,079,555 746,917 1,033,295.92

198 97.70% 103.62% 100.66% 780,354.83 1,106,269 785,505 1,113,570.40

199 103.62% 113.55% 108.59% 780,354.83 1,148,290 847,348 1,246,870.82

200 113.55% 250.91% 182.23% 780,354.83 1,296,198 1,422,041 2,362,061.63

S total = 156,088,494 173,654,477 70,614,931 81,813,370

S 2D = 0.45 45.24

S 3D = 0.47 47.11



c. Parmetros relativos a la red

hidrogrfica 1. Densidad de drenaje

L: Longitud total de las corrientes perennes o intermitentes en Km A: rea total de la cuenca en Km2

=

L =102.930

A =156km2

Dd = 0.66

L RIO = 23.56

Rangos de densidad Clases de Masividad

0.1 - 1.8 Baja

1.9 - 3.6 Moderada

3.7 - 5.6 Alta

2. Densidad de corriente

Nc: Numero de corrientes perennes e intermitentes. A: rea total de la cuenca en Km2

N =58

A =156.12

Dc =0.372

3. Numero de escurrimientos

orden N Distancia Total(km)

1 34 51.33

2 19 21.17

3 4 6.84

rio 1 23.59

suma = 58 102.930

Rangos de Escurrimiento Clases

0 - 170 Baja

171 - 340 Moderada

341 - 510 Alta

4. Tiempo de concentracin:

Este parmetro, llamado tambin tiempo de equilibrio, es el tiempo que toma la partcula,

hidrulicamente ms lejana, en viajar hasta en punto emisor. Existen muchas frmulas empricas

para estimar el tiempo de concentracin de la cuenca, siendo una de las ms completas la siguiente:

= . (

)

.



Donde:

Tc: Tiempo de concentracin en minutos

L: Longitud del cauce principal en m

H: Diferencia de alturas entre la divisoria y el punto de aforo.

L: 23.59 km

Tc: 110.2 Minutos

RANGOS DE TC CLASES

0 - 41.7 Rpido

41.6 - 83.2 Moderado

83.3 - 125.1 Lento

parametros geomorfologicos de una cuenca

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