1.- PROY OBRA DE TOMA

8/16/2019 1.- PROY OBRA DE TOMA

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OBRA DE CAPTACIÓN

DISEÑO DE UNA GALERIA FILTRANTE

46[mm] 4.6[mm]

50[mm] 15.2 [mm]

D85

= D15

=

D15

=110100

0

510

15

20

25

30

35

40

45

50

55

60

65

70

75

80

85

90

95

100 1

2

3

4

5

6

7

CURVA GRANULOMÉTRICA DEL FILTRO

Diámetro de los tamices [mm ]

! " e # a s a d e l m a t e r i a l

0.010.101.0010.00100.00

0.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

90.00

100.00 1

2

3

4

5

6

7

8

910 11 12 13 14 15

CURVA GRANULOMÉTRICA DEL ACUIFERO

Diámetro de tamices e$ [mm]

! " e # a s a d e l t o t a l



Datos #ara el dise%o&

70.0 [l/seg] Veri'ica$do si es "$ ac"('ero de #oco es#esor&Qd = 90.0 [l/seg]

n = 0.03 2.0833 <10 sí cumple!

s = 3.10 []

= 50.0

"spes#$ = 4.0 [m]

% = 2.50 [m]

& = 1.20 [m]

'sum(end# D()me*$# de 10++

D = 0.25 [m]

$ = 0.13 [m]

Cálc"lo del ca"dal "$itario&

Qu = 142.91 [m3/m2.dí&]

Qd = 7776 ,,,

Cálc"lo de lo$)it"d de )aler(a&- = 54.411 [m]

Ado#tamos& - = 55 [m]

1 3

*+ *+

2 + 4

La ,elocidad de dise%o de-e ser&

0.6 [m/seg]Dise%o de T"-er(as&1 &ud&les Qd = 0.09 [m3/seg]

&ud&l p#$ me*$# = 1.6364 [l/seg.m] = 0.002

Tramo ./ * 0 1 / 2Qd = 40.909 [l/seg] = 0.041 [m3/seg]

Tramo * / 2Qd = 49.091 [l/seg] = 0.049 [m3/seg]

Tramo 2 / a la li$ea de ad"cci3$

Qm(n

=

[m3/m2.dí&]

[m3/dí&]

[m3/seg.m]

Capa

impermeable

NAM

Y c = 0 . 0

1 3 7 [ m ]

a = 1 . 2

0 [ m ]

b = 2 . 5

[ m ]

Qu= 2 π ka

ln [ 2a(a+b)rb ]10

¿

b

a¿

¿

10

¿

b

a

¿

¿

Qu= 2 π ka

ln[ 2a(a+b)rb ]

LG=Qd

Qu

' l& líne& de 'ducc(n



Qd = 90 [l/seg] = 0.090 [m3/seg]

Cálc"lo del Diámetro de las t"-eria& [diseño a tubo lleo! #$ m&n(ng p&$& el (e$$# und(d# n = 0.01

end(en*es en*$e = 1 5 0.01

Q = A * V 2

1

eempl&:&nd# 1 en 2 ; despe&nd# D se *(ene l# s(gu(en*e

Tramo ./ * 0 1 / 2

D = 0.2475 [m] = 10

Tramo * / 2

D = 0.265 [m] = 12

Uniformizando los diámetros: todos = 10 = 0.254 [m] = 0.127 [m]

Cálc"lo del -orde li-re& '$e& = 0.051 [m2] 0.0507 60%

100%

'$e&l = 0.08 [m2] 0.3279 este será mi ne!o diámetro en [m] = 12.91 12

" = 0.305 [m] = 0.152 [m]

Veri'ica$do ,elocidad m($ima a"tolim#ia$te&

Tramo ./ * 0 1 / 2 Velocidad de salida = 0.5607 [m/seg]

Tramo * / 2 = 0.6728 [m/seg]

Cálc"lo del N4mero 0 el Diámetros de las #er'oracio$es

#elo$idad ermisi&le de entrada [0.05m'se( #e 0.1 m'se(] = 0.075 [m/seg]

'd#p*&nd# c#e(c(en*e de c#n*$&cc(n = 0.55

Q = &ud&l p#$ me*$# l(ne&l

Q = A * V ' = 0.04

>%*enem#s el D85 de l& cu$?& g$&nul#m@*$(c& del &cuíe$#s

46 [mm] 0.046 [m]

D()me*$#s Aue&d#p*&m#s

'

[m2]

D85

=

V =1

n ( D4 )2/3

S1/2

D=( Q1.695 )3 /8

A= QVe .C c

D85grava

φ Perforaciones

≥2 φ Perforación=



0.023 [m] 2.3 [cm]

Cálc"lo del área de cada #er'oraci3$&

'pe$ =BC0.022

'pe$ = 0.0004 [m2]4

Redo$deo&

E de pe$ = '$e& &%(e$*&

95.48 '$e& de c&d& pe$#$&c(n E de pe$ = 96 [pe$/ml]

Distri-"ci3$ de las #er'oracio$es&

- = 2CBC$ - = 0.9576 [m]

Lo$)it"d oc"#ada #or cada ori'icio&

-#$( = 8C0.02 0.184 [m]

Es#acio a lo lar)o del #er(metro&

e =1.117 0.16

0.0967 [m]5E$ do$de ser(a

8 9.67 [cm]

Es#aciamie$to lo$)it"di$al&

E de (l&s &sum# = 8

E de pe$. #$ c&d& l(ne& = 12 pe$. = 12 pe$

1m*s 16C0.02 = 0.724 [m]

"l esp&c(&m(en*# = 0.0905 [m] "n d#nde se$í&

9.05 [cm]

6orce$ta7e de área a-ierta&

'$e& de 1m*s de *u%e$í&

2CBC$C1m*s = 0.96 [m2]

"l )$e& &%(e$*& en 1m*s = 0.0399 [m2]

= 0.0417 4.17

#$cen*&e de &$e& &%(e$*&

-F =

'1m*s

=

. m t s

D85grava

φ Perforaciones

≥2 φ Perforación=

3

21

5

4

6

7

8



Dise%a$do el 'iltro&

#nd(c(#nes Aue de%e cumpl($ un (l*$#

5 3.3043

5 0.3304

2 2.1739

"s*& espec((c&c(n g&$&n*(:& Aue l& pe$me&%(l(d&d del (l*$#se& p#$ l# men#s 20 ?eces m&;#$ Aue l& del &cuíe$# l# cu&lpe$m(*e un l(%$e escu$$(m(en*# &*$&?es del &cuíe$#.

5≤ D

15filtro

D15acuífero

5≥ D

15filtro

D85

acuífero

2≤ D

85filtro

M! .dia".



&



coorde$adas de mi #er'il lo$)it"di$al

pun*#s ee G ee ;

1 0H000 I 1781.00 0I1781

2 0H010 I 1781.80 10I1781.8

3 0H020 I 1786.00 20I1786

4 0H030 I 1786.44 30I1786.44

5 0H040 I 1786.60 40I1786.6

6 0H050 I 1786.70 50I1786.7

7 0H060 I 1786.90 60I1786.9

8 0H070 I 1787.10 70I1787.1

9 0H080 I 1787.50 80I1787.5

10 0H087 I 1788.50 87I1788.5

11 0H100 I 1789.95 100I1789.95

12 0H110 I 1789.97 110I1789.97

13 0H120 I 1790.20 120I1790.2

14 0H130 I 1790.40 130I1790.4

15 0H140 I 1790.20 140I1790.2

16 0H150 I 1789.80 150I1789.8

17 0H160 I 1786.20 160I1786.2

18 0H170 I 1784.30 170I1784.3

19 0H180 I 1783.60 180I1783.6

20 0H190 I 1784.80 190I1784.8

21 0H200 I 1786.00 200I1786

22 0H210 I 1787.20 210I1787.2

23 0H220 I 1789.00 220I1789

24 0H230 I 1787.20 230I1787.2

25 0H240 I 1784.20 240I1784.2

26 0H250 I 1784.60 250I1784.6

27 0H260 I 1784.80 260I1784.8

28 0H270 I 1784.60 270I1784.629 0H280 I 1783.80 280I1783.8

30 0H290 I 1783.30 290I1783.3

31 0H300 I 1783.00 300I1783

32 0H310 I 1782.00 310I1782

33 0H320 I 1781.30 320I1781.3

34 0H330 I 1781.00 330I1781

35 0H340 I 1780.95 340I1780.95

36 0H350 I 1780.90 350I1780.9

37 0H360 I 1780.80 360I1780.8

38 0H370 I 1780.80 370I1780.8

39 0H380 I 1780.50 380I1780.5

40 0H390 I 1780.80 390I1780.841 0H400 I 1780.44 400I1780.44

42 0H410 I 1780.60 410I1780.6

43 0H420 I 1780.42 420I1780.42

44 0H430 I 1780.38 430I1780.38

45 0H440 I 1780.22 440I1780.22

46 0H450 I 1780.40 450I1780.4

47 0H460 I 1780.40 460I1780.4

48 0H470 I 1780.20 470I1780.2

49 0H480 I 1780.20 480I1780.2

50 0H490 I 1780.10 490I1780.1

51 0H500 I 1780.30 500I1780.3

52 0H510 I 1780.50 510I1780.5

53 0H520 I 1780.00 520I1780

54 0H530 1780 00 530 1780



66 0H650 I 1779.70 650I1779.7

67 0H660 I 1779.70 660I1779.7

68 0H670 I 1779.42 670I1779.42

69 0H680 I 1779.40 680I1779.4

70 0H690 I 1779.36 690I1779.36

71 0H700 I 1779.40 700I1779.4

72 0H710 I 1779.42 710I1779.42

73 0H720 I 1779.44 720I1779.44

74 0H730 I 1779.45 730I1779.45

75 0H740 I 1779.05 740I1779.05

76 0H750 I 1779.00 750I1779

77 0H760 I 1779.20 760I1779.2

78 0H770 I 1779.24 770I1779.24

79 0H780 I 1779.20 780I1779.2

80 0H790 I 1779.15 790I1779.15

81 0H800 I 1779.05 800I1779.05

82 0H810 I 1779.20 810I1779.2

83 0H820 I 1779.10 820I1779.1

84 0H830 I 1779.00 830I1779

85 0H840 I 1751.20 840I1751.2

86 0H850 I 1752.90 850I1752.9

87 0H860 I 1778.95 860I1778.95

88 0H870 I 1778.90 870I1778.9

89 0H880 I 1778.60 880I1778.6

90 0H890 I 1778.90 890I1778.9

91 0H900 I 1778.60 900I1778.6

92 0H910 I 1778.60 910I1778.6

93 0H920 I 1778.55 920I1778.55

94 0H930 I 1778.58 930I1778.58

95 0H940 I 1778.60 940I1778.696 0H950 I 1778.45 950I1778.45

97 0H960 I 1778.38 960I1778.38

98 0H970 I 1778.30 970I1778.3

99 0H980 I 1778.50 980I1778.5

100 0H990 I 1778.36 990I1778.36

101 1H000 I 1778.30 1000I1778.3

102 1H010 I 1778.20 1010I1778.2

103 1H020 I 1778.20 1020I1778.2

104 1H030 I 1778.30 1030I1778.3

105 1H040 I 1778.28 1040I1778.28

106 1H050 I 1778.15 1050I1778.15

107 1H060 I 1778.30 1060I1778.3108 1H070 I 1778.20 1070I1778.2

109 1H080 I 1778.02 1080I1778.02

110 1H090 I 1778.00 1090I1778

111 1H100 I 1778.05 1100I1778.05

112 1H110 I 1778.00 1110I1778

113 1H120 I 1776.00 1120I1776

114 1H130 I 1775.95 1130I1775.95

115 1H140 I 1776.00 1140I1776

116 1H150 I 1774.80 1150I1774.8

117 1H160 I 1774.85 1160I1774.85

118 1H170 I 1774.80 1170I1774.8

119 1H180 I 1774.60 1180I1774.6

120 1H190 I 1774.80 1190I1774.8

121 1H200 1774 90 1200 1774 9



133 1H320 I 1774.50 1320I1774.5

134 1H330 I 1774.40 1330I1774.4

135 1H340 I 1774.55 1340I1774.55

136 1H350 I 1774.50 1350I1774.5

137 1H360 I 1774.40 1360I1774.4

138 1H370 I 1774.40 1370I1774.4

139 1H380 I 1774.20 1380I1774.2

140 1H390 I 1774.35 1390I1774.35

141 1H400 I 1774.40 1400I1774.4

142 1H410 I 1774.20 1410I1774.2

143 1H420 I 1774.00 1420I1774

144 1H430 I 1774.20 1430I1774.2

145 1H440 I 1774.25 1440I1774.25

146 1H450 I 1774.30 1450I1774.3

147 1H460 I 1774.00 1460I1774

148 1H470 I 1774.00 1470I1774

149 1H480 I 1771.60 1480I1771.6

150 1H490 I 1770.10 1490I1770.1

151 1H500 I 1770.10 1500I1770.1

152 1H510 I 1770.20 1510I1770.2

153 1H520 I 1772.00 1520I1772

154 1H530 I 1773.20 1530I1773.2

155 1H540 I 1773.00 1540I1773

156 1H550 I 1773.15 1550I1773.15

157 1H560 I 1773.00 1560I1773

158 1H570 I 1773.00 1570I1773

159 1H580 I 1772.80 1580I1772.8

160 1H590 I 1772.60 1590I1772.6

161 1H600 I 1772.90 1600I1772.9

162 1H610 I 1772.80 1610I1772.8163 1H620 I 1772.80 1620I1772.8

164 1H630 I 1772.62 1630I1772.62

165 1H640 I 1772.70 1640I1772.7

166 1H650 I 1772.62 1650I1772.62

167 1H660 I 1772.60 1660I1772.6

168 1H670 I 1772.50 1670I1772.5

169 1H680 I 1772.45 1680I1772.45

170 1H690 I 1772.40 1690I1772.4

171 1H700 I 1772.40 1700I1772.4

172 1H710 I 1772.60 1710I1772.6

173 1H720 I 1772.40 1720I1772.4

174 1H730 I 1772.40 1730I1772.4175 1H740 I 1772.44 1740I1772.44

176 1H750 I 1772.30 1750I1772.3

177 1H760 I 1772.40 1760I1772.4

178 1H770 I 1772.25 1770I1772.25

179 1H780 I 1772.20 1780I1772.2

180 1H790 I 1772.20 1790I1772.2

181 1H800 I 1772.25 1800I1772.25

182 1H810 I 1772.10 1810I1772.1

183 1H820 I 1772.15 1820I1772.15

184 1H830 I 1772.15 1830I1772.15

185 1H840 I 1772.17 1840I1772.17

186 1H850 I 1772.20 1850I1772.2

187 1H860 I 1772.17 1860I1772.17

188 1H870 1772 10 1870 1772 1



200 1H990 I 1771.60 1990I1771.6

201 2H000 I 1771.50 2000I1771.5

202 2H010 I 1771.45 2010I1771.45

203 2H020 I 1771.35 2020I1771.35

204 2H030 I 1771.25 2030I1771.25

205 2H040 I 1771.40 2040I1771.4

206 2H050 I 1771.20 2050I1771.2

207 2H060 I 1771.22 2060I1771.22

208 2H070 I 1771.20 2070I1771.2

209 2H080 I 1771.00 2080I1771

210 2H090 I 1771.22 2090I1771.22

211 2H100 I 1771.00 2100I1771

212 2H110 I 1770.97 2110I1770.97

213 2H120 I 1769.15 2120I1769.15

214 2H130 I 1769.20 2130I1769.2

215 2H140 I 1768.25 2140I1768.25

216 2H150 I 1767.60 2150I1767.6

217 2H160 I 1766.40 2160I1766.4

218 2H170 I 1766.54 2170I1766.54

219 2H180 I 1766.25 2180I1766.25

220 2H190 I 1766.20 2190I1766.2

221 2H200 I 1766.25 2200I1766.25

222 2H210 I 1766.20 2210I1766.2

223 2H220 I 1766.25 2220I1766.25

224 2H230 I 1766.00 2230I1766

225 2H240 I 1766.00 2240I1766

226 2H250 I 1766.00 2250I1766

227 2H260 I 1765.95 2260I1765.95

228 2H270 I 1766.00 2270I1766

229 2H280 I 1766.00 2280I1766230 2H290 I 1765.80 2290I1765.8

231 2H300 I 1765.74 2300I1765.74

232 2H310 I 1765.90 2310I1765.9

233 2H320 I 1765.90 2320I1765.9

234 2H330 I 1765.82 2330I1765.82

235 2H340 I 1765.94 2340I1765.94

236 2H350 I 1765.70 2350I1765.7

237 2H360 I 1765.80 2360I1765.8

238 2H370 I 1765.90 2370I1765.9

239 2H380 I 1765.80 2380I1765.8

240 2H390 I 1765.60 2390I1765.6

241 2H400 I 1765.62 2400I1765.62242 2H410 I 1765.64 2410I1765.64

243 2H420 I 1764.40 2420I1764.4

244 2H430 I 1763.50 2430I1763.5

245 2H440 I 1762.06 2440I1762.06

246 2H450 I 1761.96 2450I1761.96

247 2H460 I 1762.00 2460I1762

248 2H470 I 1761.85 2470I1761.85

249 2H480 I 1761.98 2480I1761.98

250 2H490 I 1761.80 2490I1761.8

251 2H500 I 1761.80 2500I1761.8

252 2H510 I 1761.90 2510I1761.9

253 2H520 I 1761.85 2520I1761.85

254 2H530 I 1761.60 2530I1761.6

255 2H540 1761 87 2540 1761 87



267 2H660 I 1761.50 2660I1761.5

268 2H670 I 1761.42 2670I1761.42

269 2H680 I 1761.50 2680I1761.5

270 2H690 I 1761.30 2690I1761.3

271 2H700 I 1761.30 2700I1761.3

272 2H710 I 1761.32 2710I1761.32

273 2H720 I 1761.40 2720I1761.4

274 2H730 I 1761.37 2730I1761.37

275 2H740 I 1761.20 2740I1761.2

276 2H750 I 1761.25 2750I1761.25

277 2H760 I 1761.30 2760I1761.3

278 2H770 I 1761.20 2770I1761.2

279 2H780 I 1761.05 2780I1761.05

280 2H790 I 1759.38 2790I1759.38

281 2H800 I 1759.35 2800I1759.35

282 2H810 I 1759.15 2810I1759.15

283 2H820 I 1759.10 2820I1759.1

284 2H830 I 1759.05 2830I1759.05

285 2H840 I 1759.05 2840I1759.05

286 2H850 I 1759.00 2850I1759

287 2H860 I 1758.70 2860I1758.7

288 2H870 I 1758.30 2870I1758.3

289 2H880 I 1758.00 2880I1758

290 2H890 I 1757.50 2890I1757.5

291 2H900 I 1756.70 2900I1756.7

292 2H910 I 1756.50 2910I1756.5

293 2H920 I 1755.80 2920I1755.8

294 2H930 I 1755.38 2930I1755.38

295 2H940 I 1755.00 2940I1755

296 2H950 I 1754.60 2950I1754.6297 2H960 I 1753.90 2960I1753.9

298 2H970 I 1753.85 2970I1753.85

299 2H980 I 1753.85 2980I1753.85

300 2H990 I 1753.85 2990I1753.85

301 3H000 I 1753.80 3000I1753.8

302 3H010 I 1753.85 3010I1753.85

303 3H020 I 1753.85 3020I1753.85

304 3H030 I 1753.85 3030I1753.85

305 3H040 I 1754.00 3040I1754

306 3H050 I 1753.82 3050I1753.82

307 3H060 I 1753.70 3060I1753.7

308 3H070 I 1753.82 3070I1753.82309 3H080 I 1753.55 3080I1753.55

310 3H090 I 1753.56 3090I1753.56

311 3H100 I 1753.60 3100I1753.6

312 3H110 I 1753.25 3110I1753.25

313 3H120 I 1753.45 3120I1753.45

314 3H130 I 1753.35 3130I1753.35

315 3H140 I 1753.30 3140I1753.3

316 3H150 I 1753.40 3150I1753.4

317 3H160 I 1753.36 3160I1753.36

318 3H170 I 1753.20 3170I1753.2

319 3H180 I 1753.10 3180I1753.1



110100

0

5

10

15

20

25

30

35

40

45

50

55

60

65

70

75

80

85

90

95

100

(l*$#

(l*$#

Diámetro de los tamices [mm]

! " e # a s a d e l m a

t e r i a l

70

80

90

100

CURVA8 GRANULOMÉTRICA8



6 3.5 5 0.8 3 8.1 2 5.4 1 9.05 1 2.7 9.520

10

20

30

&c uíe$#s (l*$#Diámetros de Tamices



1 10 100

0

5

10

15

20

25

30

35

40

45

50

55

60

65

70

75

80

85

90

95

100

&cuíe$#

&cuíe$#



10.00100.00

0.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

90.00

100.00 1

2

3

4

5

6

7

8

CURVA DEL ACUIFERO

Diámetro de tamices e$ [mm ]

! " e # a s a d e l t o t a l



AGREGADO GRUE8O

TAMICE8

[#l)] [mm] [)r] []

21/2++ 63.50 0.00 0.00 0.00 100.00

2++ 50.80 480.00 480.00 10.64 89.36

11/2 38.10 600.00 1080.00 23.95 76.05

1 25.40 900.00 1980.00 43.90 56.10

3/4 19.05 400.00 2380.00 52.77 47.23 2.22

1/2 12.70 550.00 2930.00 64.97 35.03 2.22

3/8 9.52 250.00 3180.00 70.51 29.49 2.22

E4 4.75 630.00 3810.00 84.48 15.52 2.22

E8 2.36 500.00 4310.00 95.57 4.43 2.22

E10 2.00 100.00 4410.00 97.78 2.22 2.22

pe$d(d&s 0.00 100.00 4510.00 100.00 0.00

es# *#*&l en [g$] 4510.00

AGREGADO FINOTAMICE8

[#l)] [mm] [)r] []

E16 1.18 240.00 240.00 27.59 72.41 1.61

E40 0.43 350.00 350.00 40.23 59.77 1.33

E50 0.30 140.00 490.00 56.32 43.68 0.97

E100 0.15 180.00 670.00 77.01 22.99 0.51

E200 0.08 100.00 770.00 88.51 11.49 0.25

pe$d(&s 0.00 100.00 870.00 100.00 0.00 0.00

es# *#*&l en [g$] 870.00

FILTROTAMICE8

[#l)] [mm] [)r] []21/2++ 63.50 0.00 0.00 0.00 100.00

2++ 50.80 480.00 480.00 15.09 84.91

11/2 38.10 600.00 1080.00 33.96 66.04

1 25.40 900.00 1980.00 62.26 37.74

3/4 19.05 400.00 2380.00 74.84 25.16

1/2 12.70 550.00 2930.00 92.14 7.86

3/8 9.52 250.00 3180.00 100.00 0.00

es# *#*&l en [g$] 3180.00

6E8ORETENIDO [)r]

6E8O RETENIDOACUMULADO !"e #asa

del total

6E8ORETENIDO [)r]

6E8O RETENIDO

ACUMULADO

!"e #asa

del dela)re)ado'i$o

!"e #asadel total

6E8O

RETENIDO [)r]

6E8O RETENIDOACUMULADO !"e #asa

del total



63.50 100.00

50.80 89.36

38.10 76.05

25.40 56.10

19.05 47.23

12.70 35.03

9.52 29.49

4.75 15.52

2.36 4.43

2.00 2.22

1.18 1.61

0.43 1.33

0.30 0.97

0.15 0.51

0.08 0.25

0.00 0.00

1.- PROY OBRA DE TOMA

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