infiltraciÓn

24
ECUACIÓN DE SMITH-PARLA Estación: SAN IGNACIO Tipo: Convencional - Meteorologica Latitud: Longitud: suelo arenoso limoso DATOS DE INGRESO: TEXTURA DE SUELO: ARENOSO LIMOSO SIMBOLO VALOR UNIDAD 22 cm/h Q = 0.501 0.97 S1 = 0.03 Ks = 0.68 cm/h G = 48.5 cm F = 0.5164948454 F = q/Smax CALCULOS PREVIOS B = 23.547 cm DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO F = 0.73930172 cm DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO t1 = 0.0168905548310969 h 5° 8' 43'' 78° 59' 49'' ip = cm 3 /cm 3 Smáx = CALCULO DE LA LAMINA INFILFRADA EN CADA INTERACCIÓN (DESPUES DEL TIEMP ENCHARCAMIENTO) MEDIANTE EL PROCESO ITERATIVO DE NEWTON-RAPHSO p Ks F i 1 1 Ln B B 1 1 - 1 B 1 1 1 F e F Ks t 1 m áx S S G B

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Page 1: INFILTRACIÓN

ECUACIÓN DE SMITH-PARLANGE

Estación: SAN IGNACIO Tipo:Latitud: Longitud:

suelo arenoso limoso

DATOS DE INGRESO:

TEXTURA DE SUELO: ARENOSO LIMOSO

SIMBOLO VALOR UNIDAD

22 cm/h

Q = 0.501

0.97

S1 = 0.03

Ks = 0.68 cm/h

G = 48.5 cm

F = 0.5164948 F = q/Smax

CALCULOS PREVIOS

B = 23.547 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 0.73930172 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.0168905548310969 h

Convencional - Meteorologica

5° 8' 43'' 78° 59' 49'' 

ip =

cm3/cm3

Smáx =

CALCULO DE LA LAMINA INFILFRADA EN CADA INTERACCIÓN (DESPUES DEL TIEMPO DE ENCHARCAMIENTO) MEDIANTE EL PROCESO ITERATIVO

DE NEWTON-RAPHSON

p

KsF

i1

1LnB

B

1

1-1B1

11

F

e

FKs

t

1máx SSGB

Page 2: INFILTRACIÓN

0.0124872

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON

fo fo' F (cm)

0.1

1.5 -0.031208469 0.090758518 1.843862696

1.8124795341.843862696 0.003447614 0.110762068 1.812736395

1.812736395 2.79865E-05 0.108963353 1.812479552

1.812479552 1.899137E-09 0.108948501 1.812479534

0.02

0.6 -0.00885328 0.036998597 0.839286916

0.8048580730.839286916 0.001737113 0.051493098 0.805552053

0.805552053 3.430873E-05 0.04945856 0.804858367

0.804858367 1.451079E-08 0.049416694 0.804858073

0.004

0.3 -0.001201498 0.018617142 0.364537196

0.3588135360.364537196 0.000128297 0.022591228 0.358858125

0.358858125 9.916869E-07 0.022241958 0.358813539

0.358813539 6.08372E-11 0.022239216 0.358813536

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON

fo fo' F (cm)

0.0008

0.12 -0.000351099 0.007475332 0.166967683

0.1602413280.166967683 6.848927E-05 0.010390799 0.160376346

0.160376346 1.347184E-06 0.009982 0.160241384

0.160241384 5.645134E-10 0.009973628 0.160241328

0.00016

0.06 -4.76795E-05 0.003742428 0.072740247

0.0716171990.072740247 5.054724E-06 0.004535859 0.071625855

0.071625855 3.865889E-08 0.004466474 0.071617199

0.071617199 2.318151E-12 0.004465935 0.071617199

0.000032

0.024 -1.40196E-05 0.001498116 0.033358126

0.0320192130.033358126 2.731516E-06 0.00208185 0.032046064

0.032046064 5.368097E-08 0.002000021 0.032019224

0.032019224 2.245121E-11 0.001998347 0.032019213

0.0000064

0.0108 -2.75828E-06 0.000674341 0.014890334

0.0143176340.014890334 5.221789E-07 0.000929656 0.014328643

0.014328643 9.845574E-09 0.000894599 0.014317638

0.014317638 3.7829E-12 0.000893912 0.014317634

0.00000128

0.00432 -6.97271E-07 0.000269773 0.006904654

0.0064026820.006904654 2.085621E-07 0.000431155 0.006420926

0.006420926 7.30467E-09 0.000400953 0.006402708

0.006402708 1.03575E-11 0.000399816 0.006402682

1o aproximac. = finicial (F=Ks*t)

Diferencial del tiempo Dt =

finicial ffinal

Diferencial del tiempo Dt =

finicial ffinal

tKs

e

F

f

F

o

B

1-1B-

Ksefo

F

B

11

'

Page 3: INFILTRACIÓN

0.000000256

0.00108 -2.19578E-07 6.744801E-05 0.004335512

0.0028633120.004335512 3.309209E-07 0.000270742 0.003113238

0.003113238 4.664327E-08 0.000194419 0.002873327

0.002873327 1.797077E-09 0.000179438 0.002863312

0.0000000512

0.000864 -2.78897E-08 5.395866E-05 0.001380872

0.001280490.001380872 8.342053E-09 8.623747E-05 0.001284138

0.001284138 2.92178E-10 8.019649E-05 0.001280495

0.001280495 4.154364E-13 7.996897E-05 0.00128049

0.00000001024

0.000324 -6.96196E-09 2.023473E-05 0.00066806

0.000572650.00066806 3.696462E-09 4.172197E-05 0.000579463

0.000579463 2.451078E-10 3.618891E-05 0.00057269

0.00057269 1.432026E-12 3.576592E-05 0.00057265

0.000000002048

0.000108 -1.68378E-09 6.744941E-06 0.000357635

0.0002560970.000357635 1.945967E-09 2.233533E-05 0.00027051

0.00027051 2.370218E-10 1.689416E-05 0.00025648

0.00025648 6.147273E-12 1.601796E-05 0.000256097

4.096E-10

0.000081 -2.04722E-10 5.058708E-06 0.000121469

0.000114530.000121469 5.11422E-11 7.58613E-06 0.000114728

0.000114728 1.415386E-12 7.1651E-06 0.00011453

0.00011453 -8.13839E-17 7.152763E-06 0.00011453

8.192E-11

0.0000378 -3.73053E-11 2.360733E-06 5.36024E-05

5.122085E-055.36024E-05 7.798651E-12 3.347643E-06 5.127281E-05

5.127281E-05 1.709983E-13 3.202153E-06 5.121941E-05

5.121941E-05 -4.60344E-15 3.198817E-06 5.122085E-05

1.6384E-11

0.0000163 -8.08766E-12 1.017988E-06 2.424475E-05

2.290839E-052.424475E-05 1.973094E-12 1.514164E-06 2.294166E-05

2.294166E-05 4.805787E-14 1.432781E-06 2.290812E-05

2.290812E-05 -3.94017E-16 1.430687E-06 2.290839E-05

3.2768E-12

7.2908E-06 -1.61496E-12 4.553344E-07 1.083756E-05

1.02488E-051.083756E-05 3.903619E-13 6.768414E-07 1.026082E-05

1.026082E-05 6.42422E-15 6.408221E-07 1.02508E-05

1.02508E-05 1.282204E-15 6.40196E-07 1.02488E-05

F 1.453441

Page 4: INFILTRACIÓN

ECUACIÓN DE SMITH-PARLANGE ECUACIÓN DE SMITH-PARLANGE

Estación: CHIRINOS Tipo:Latitud: Longitud:

suelo arcilloso

DATOS DE INGRESO:

TEXTURA DE SUELO: ARCILLOSO

SIMBOLO VALOR UNIDAD

22 cm/h

0.475

0.81

S1 = 0.19

Ks = 0.06 cm/h

G = 89 cm

F = 0.5864198

CALCULOS PREVIOS

B = 32.3586419753086

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 0.0883714

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.00200980281623298

5° 18' 17''

ip =

Q = cm3/cm3

Smáx =

F = q/Smax

CALCULO DE LA LAMINA INFILFRADA EN CADA INTERACCIÓN (DESPUES DEL TIEMPO DE ENCHARCAMIENTO) MEDIANTE EL PROCESO ITERATIVO

DE NEWTON-RAPHSON

p

KsF

i1

1LnB

B

1

1-1B1

11

F

e

FKs

t

1máx SSGB

Page 5: INFILTRACIÓN

Ec.de Newton-Raphson

0.0001776

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON

fo

0.116890555 1.812479534 0.1

1.5 -0.031208469

1.843862696 0.003447614

1.812736395 2.79865E-05

1.812479552 1.899137E-09

0.136890555 2.617337607 0.02

0.6 -0.00885328

0.839286916 0.001737113

0.805552053 3.430873E-05

0.804858367 1.451079E-08

0.140890555 2.976151144 0.004

0.3 -0.001201498

0.364537196 0.000128297

0.358858125 9.916869E-07

0.358813539 6.08372E-11

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON

fo

0.141690555 3.136392472 0.0008

0.12 -0.000351099

0.166967683 6.848927E-05

0.160376346 1.347184E-06

0.160241384 5.645134E-10

0.141850555 3.20800967 0.00016

0.06 -4.76795E-05

0.072740247 5.054724E-06

0.071625855 3.865889E-08

0.071617199 2.318151E-12

0.141882555 3.240028883 0.000032

0.024 -1.40196E-05

0.033358126 2.731516E-06

0.032046064 5.368097E-08

0.032019224 2.245121E-11

0.141888955 3.254346517 0.0000064

0.0108 -2.75828E-06

0.014890334 5.221789E-07

0.014328643 9.845574E-09

0.014317638 3.7829E-12

0.141890235 3.260749198 0.00000128

0.00432 -6.97271E-07

0.006904654 2.085621E-07

0.006420926 7.30467E-09

0.006402708 1.03575E-11

1o aproximac. = finicial (F=Ks*t)

tiempo(t1+rt)h

Infiltración Acumulada

(cm)

Diferencial del tiempo Dt =

finicial

tiempo(t1+rt)h

Infiltración Acumulada

(cm)

Diferencial del tiempo Dt =

finicial

'fo

foff inicialfinal

tKs

e

F

f

F

o

B

1-1B-

Page 6: INFILTRACIÓN

0.141890491 3.26361251 0.000000256

0.00108 -2.19578E-07

0.004335512 3.309209E-07

0.003113238 4.664327E-08

0.002873327 1.797077E-09

0.141890542 3.264893 0.0000000512

0.000864 -2.78897E-08

0.001380872 8.342053E-09

0.001284138 2.92178E-10

0.001280495 4.154364E-13

0.141890552 3.26546565 0.00000001024

0.000324 -6.96196E-09

0.00066806 3.696462E-09

0.000579463 2.451078E-10

0.00057269 1.432026E-12

0.141890554 3.265721747 0.000000002048

0.000108 -1.68378E-09

0.000357635 1.945967E-09

0.00027051 2.370218E-10

0.00025648 6.147273E-12

0.141890555 3.265836277 4.096E-10

0.000081 -2.04722E-10

0.000121469 5.11422E-11

0.000114728 1.415386E-12

0.00011453 -8.13839E-17

0.141890555 3.265887498 8.192E-11

0.0000378 -3.73053E-11

5.36024E-05 7.798651E-12

5.127281E-05 1.709983E-13

5.121941E-05 -4.60344E-15

0.141890555 3.265910406 1.6384E-11

0.0000163 -8.08766E-12

2.424475E-05 1.973094E-12

2.294166E-05 4.805787E-14

2.290812E-05 -3.94017E-16

0.141890555 3.265920655 3.2768E-12

7.2908E-06 -1.61496E-12

1.083756E-05 3.903619E-13

1.026082E-05 6.42422E-15

1.02508E-05 1.282204E-15

Page 7: INFILTRACIÓN

ECUACIÓN DE SMITH-PARLANGE

ARCILLOSO

cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

0.00200980281623298 h

Convencional - Meteorologica

78° 54' 53'' 

CALCULO DE LA LAMINA INFILFRADA EN CADA INTERACCIÓN (DESPUES DEL TIEMPO DE ENCHARCAMIENTO) MEDIANTE EL PROCESO ITERATIVO

DE NEWTON-RAPHSON

Page 8: INFILTRACIÓN

Ec.de Newton-Raphson

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON

fo' F (cm)

0.090758518 1.843862696

1.812479534 0.102009803 1.8124795340.110762068 1.812736395

0.108963353 1.812479552

0.108948501 1.812479534

0.036998597 0.839286916

0.804858073 0.122009803 2.6173376070.051493098 0.805552053

0.04945856 0.804858367

0.049416694 0.804858073

0.018617142 0.364537196

0.358813536 0.126009803 2.9761511440.022591228 0.358858125

0.022241958 0.358813539

0.022239216 0.358813536

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON

fo' F (cm)

0.007475332 0.166967683

0.160241328 0.126809803 3.1363924720.010390799 0.160376346

0.009982 0.160241384

0.009973628 0.160241328

0.003742428 0.072740247

0.071617199 0.126969803 3.208009670.004535859 0.071625855

0.004466474 0.071617199

0.004465935 0.071617199

0.001498116 0.033358126

0.032019213 0.127001803 3.2400288830.00208185 0.032046064

0.002000021 0.032019224

0.001998347 0.032019213

0.000674341 0.014890334

0.014317634 0.127008203 3.2543465170.000929656 0.014328643

0.000894599 0.014317638

0.000893912 0.014317634

0.000269773 0.006904654

0.006402682 0.127009483 3.2607491980.000431155 0.006420926

0.000400953 0.006402708

0.000399816 0.006402682

tiempo(t1+rt)h

Infiltración Acumulada

(cm)ffinal

tiempo(t1+rt)h

Infiltración Acumulada

(cm)ffinal

Ksefo

F

B

11

' 'fo

foff inicialfinal

Page 9: INFILTRACIÓN

6.744801E-05 0.004335512

0.002863312 0.127009739 3.263612510.000270742 0.003113238

0.000194419 0.002873327

0.000179438 0.002863312

5.395866E-05 0.001380872

0.00128049 0.12700979 3.2648938.623747E-05 0.001284138

8.019649E-05 0.001280495

7.996897E-05 0.00128049

2.023473E-05 0.00066806

0.00057265 0.1270098 3.265465654.172197E-05 0.000579463

3.618891E-05 0.00057269

3.576592E-05 0.00057265

6.744941E-06 0.000357635

0.000256097 0.127009802 3.2657217472.233533E-05 0.00027051

1.689416E-05 0.00025648

1.601796E-05 0.000256097

5.058708E-06 0.000121469

0.00011453 0.127009803 3.2658362777.58613E-06 0.000114728

7.1651E-06 0.00011453

7.152763E-06 0.00011453

2.360733E-06 5.36024E-05

5.122085E-05 0.127009803 3.2658874983.347643E-06 5.127281E-05

3.202153E-06 5.121941E-05

3.198817E-06 5.122085E-05

1.017988E-06 2.424475E-05

2.290839E-05 0.127009803 3.2659104061.514164E-06 2.294166E-05

1.432781E-06 2.290812E-05

1.430687E-06 2.290839E-05

4.553344E-07 1.083756E-05

1.02488E-05 0.127009803 3.2659206556.768414E-07 1.026082E-05

6.408221E-07 1.02508E-05

6.40196E-07 1.02488E-05

F 1.453441

Page 10: INFILTRACIÓN

ECUACIÓN DE SMITH-PARLANGE

Estación: SHMBA ALTA Tipo:Latitud: 5° 28' 01'' Longitud:

suelo arenoso arcilloso

DATOS DE INGRESO:

TEXTURA DE SUELO: ARENOSO ARCILLOSO

SIMBOLO VALOR UNIDAD

22 cm/h

0.43

0.75

S1 = 0.25

Ks = 0.12 cm/h

G = 76.8 cm

F = 0.5733333

CALCULOS PREVIOS

B = 22.016 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 0.12041598 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.00273952570625918 h

Convencional - Meteorologica

78° 47' 01'' 

ip =

Q = cm3/cm3

Smáx =

F = q/Smax

CALCULO DE LA LAMINA INFILFRADA EN CADA INTERACCIÓN (DESPUES DEL TIEMPO DE ENCHARCAMIENTO) MEDIANTE EL PROCESO ITERATIVO

DE NEWTON-RAPHSON

p

KsF

i1

1LnB

B

1

1-1B1

11

F

e

FKs

t

1máx SSGB

Page 11: INFILTRACIÓN

0.0003299

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON

fo fo' F (cm)

0.1

1.5 -0.031208469 0.090758518 1.843862696

1.8124795341.843862696 0.003447614 0.110762068 1.812736395

1.812736395 2.79865E-05 0.108963353 1.812479552

1.812479552 1.899137E-09 0.108948501 1.812479534

0.02

0.6 -0.00885328 0.036998597 0.839286916

0.8048580730.839286916 0.001737113 0.051493098 0.805552053

0.805552053 3.430873E-05 0.04945856 0.804858367

0.804858367 1.451079E-08 0.049416694 0.804858073

0.004

0.3 -0.001201498 0.018617142 0.364537196

0.3588135360.364537196 0.000128297 0.022591228 0.358858125

0.358858125 9.916869E-07 0.022241958 0.358813539

0.358813539 6.08372E-11 0.022239216 0.358813536

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON

fo fo' F (cm)

0.0008

0.12 -0.000351099 0.007475332 0.166967683

0.1602413280.166967683 6.848927E-05 0.010390799 0.160376346

0.160376346 1.347184E-06 0.009982 0.160241384

0.160241384 5.645134E-10 0.009973628 0.160241328

0.00016

0.06 -4.76795E-05 0.003742428 0.072740247

0.0716171990.072740247 5.054724E-06 0.004535859 0.071625855

0.071625855 3.865889E-08 0.004466474 0.071617199

0.071617199 2.318151E-12 0.004465935 0.071617199

0.000032

0.024 -1.40196E-05 0.001498116 0.033358126

0.0320192130.033358126 2.731516E-06 0.00208185 0.032046064

0.032046064 5.368097E-08 0.002000021 0.032019224

0.032019224 2.245121E-11 0.001998347 0.032019213

0.0000064

0.0108 -2.75828E-06 0.000674341 0.014890334

0.0143176340.014890334 5.221789E-07 0.000929656 0.014328643

0.014328643 9.845574E-09 0.000894599 0.014317638

0.014317638 3.7829E-12 0.000893912 0.014317634

0.00000128

0.00432 -6.97271E-07 0.000269773 0.006904654

0.0064026820.006904654 2.085621E-07 0.000431155 0.006420926

0.006420926 7.30467E-09 0.000400953 0.006402708

0.006402708 1.03575E-11 0.000399816 0.006402682

1o aproximac. = finicial (F=Ks*t)

Diferencial del tiempo Dt =

finicial ffinal

Diferencial del tiempo Dt =

finicial ffinal

tKs

e

F

f

F

o

B

1-1B-

Ksefo

F

B

11

'

Page 12: INFILTRACIÓN

0.000000256

0.00108 -2.19578E-07 6.744801E-05 0.004335512

0.0028633120.004335512 3.309209E-07 0.000270742 0.003113238

0.003113238 4.664327E-08 0.000194419 0.002873327

0.002873327 1.797077E-09 0.000179438 0.002863312

0.0000000512

0.000864 -2.78897E-08 5.395866E-05 0.001380872

0.001280490.001380872 8.342053E-09 8.623747E-05 0.001284138

0.001284138 2.92178E-10 8.019649E-05 0.001280495

0.001280495 4.154364E-13 7.996897E-05 0.00128049

0.00000001024

0.000324 -6.96196E-09 2.023473E-05 0.00066806

0.000572650.00066806 3.696462E-09 4.172197E-05 0.000579463

0.000579463 2.451078E-10 3.618891E-05 0.00057269

0.00057269 1.432026E-12 3.576592E-05 0.00057265

0.000000002048

0.000108 -1.68378E-09 6.744941E-06 0.000357635

0.0002560970.000357635 1.945967E-09 2.233533E-05 0.00027051

0.00027051 2.370218E-10 1.689416E-05 0.00025648

0.00025648 6.147273E-12 1.601796E-05 0.000256097

4.096E-10

0.000081 -2.04722E-10 5.058708E-06 0.000121469

0.000114530.000121469 5.11422E-11 7.58613E-06 0.000114728

0.000114728 1.415386E-12 7.1651E-06 0.00011453

0.00011453 -8.13839E-17 7.152763E-06 0.00011453

8.192E-11

0.0000378 -3.73053E-11 2.360733E-06 5.36024E-05

5.122085E-055.36024E-05 7.798651E-12 3.347643E-06 5.127281E-05

5.127281E-05 1.709983E-13 3.202153E-06 5.121941E-05

5.121941E-05 -4.60344E-15 3.198817E-06 5.122085E-05

1.6384E-11

0.0000163 -8.08766E-12 1.017988E-06 2.424475E-05

2.290839E-052.424475E-05 1.973094E-12 1.514164E-06 2.294166E-05

2.294166E-05 4.805787E-14 1.432781E-06 2.290812E-05

2.290812E-05 -3.94017E-16 1.430687E-06 2.290839E-05

3.2768E-12

7.2908E-06 -1.61496E-12 4.553344E-07 1.083756E-05

1.02488E-051.083756E-05 3.903619E-13 6.768414E-07 1.026082E-05

1.026082E-05 6.42422E-15 6.408221E-07 1.02508E-05

1.02508E-05 1.282204E-15 6.40196E-07 1.02488E-05

F 1.453441

Page 13: INFILTRACIÓN

ECUACIÓN DE SMITH-PARLANGE ECUACIÓN DE SMITH-PARLANGE

Estación: CHIRIACO Tipo:Latitud: 5° 09' 08'' Longitud:

suelo arenoso

DATOS DE INGRESO:

TEXTURA DE SUELO:

SIMBOLO VALOR

22

0.437

0.95

S1 = 0.045

Ks = 21

G = 10.1

F = 0.46

CALCULOS PREVIOS

B = 4.20463

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 12.9966898

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.427770455055521

ip =

Q =

Smáx =

CALCULO DE LA LAMINA INFILFRADA EN CADA INTERACCIÓN (DESPUES DEL TIEMPO DE ENCHARCAMIENTO) MEDIANTE EL PROCESO ITERATIVO

DE NEWTON-RAPHSON

p

KsF

i1

1LnB

B

1

1-1B1

11

F

e

FKs

t

1máx SSGB

Page 14: INFILTRACIÓN

Ec.de Newton-Raphson

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON

0.102739526 1.812479534 0.1

1.5

1.843862696

1.812736395

1.812479552

0.122739526 2.617337607 0.02

0.6

0.839286916

0.805552053

0.804858367

0.126739526 2.976151144 0.004

0.3

0.364537196

0.358858125

0.358813539

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON

0.127539526 3.136392472 0.0008

0.12

0.166967683

0.160376346

0.160241384

0.127699526 3.20800967 0.00016

0.06

0.072740247

0.071625855

0.071617199

0.127731526 3.240028883 0.000032

0.024

0.033358126

0.032046064

0.032019224

0.127737926 3.254346517 0.0000064

0.0108

0.014890334

0.014328643

0.014317638

0.127739206 3.260749198 0.00000128

0.00432

0.006904654

0.006420926

0.006402708

1o aproximac. = finicial (F=Ks*t)

tiempo(t1+rt)h

Infiltración Acumulada

(cm)

Diferencial del tiempo Dt =

finicial

tiempo(t1+rt)h

Infiltración Acumulada

(cm)

Diferencial del tiempo Dt =

finicial

'fo

foff inicialfinal t

Kse

F

f

F

o

B

1-1B-

Page 15: INFILTRACIÓN

0.127739462 3.26361251 0.000000256

0.00108

0.004335512

0.003113238

0.002873327

0.127739513 3.264893 0.0000000512

0.000864

0.001380872

0.001284138

0.001280495

0.127739523 3.26546565 0.00000001024

0.000324

0.00066806

0.000579463

0.00057269

0.127739525 3.265721747 0.000000002048

0.000108

0.000357635

0.00027051

0.00025648

0.127739526 3.265836277 4.096E-10

0.000081

0.000121469

0.000114728

0.00011453

0.127739526 3.265887498 8.192E-11

0.0000378

5.36024E-05

5.127281E-05

5.121941E-05

0.127739526 3.265910406 1.6384E-11

0.0000163

2.424475E-05

2.294166E-05

2.290812E-05

0.127739526 3.265920655 3.2768E-12

7.2908E-06

1.083756E-05

1.026082E-05

1.02508E-05

Page 16: INFILTRACIÓN

ECUACIÓN DE SMITH-PARLANGE

78°17'17''

ARENOSO UNIDAD

cm/h

cm/h

cm

4.20463 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

0.427770455055521 h

Convencional - Meteorologica

cm3/cm3

F = q/Smax

CALCULO DE LA LAMINA INFILFRADA EN CADA INTERACCIÓN (DESPUES DEL TIEMPO DE ENCHARCAMIENTO) MEDIANTE EL PROCESO ITERATIVO

DE NEWTON-RAPHSON

B

1

1-1B1

11

F

e

FKs

t

Page 17: INFILTRACIÓN

Ec.de Newton-Raphson

5.5595999

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON

fo fo' F (cm)

-0.031208469 0.090758518 1.843862696

1.812479534 0.527770455 1.8124795340.003447614 0.110762068 1.812736395

2.79865E-05 0.108963353 1.812479552

1.899137E-09 0.108948501 1.812479534

-0.00885328 0.036998597 0.839286916

0.804858073 0.547770455 2.6173376070.001737113 0.051493098 0.805552053

3.430873E-05 0.04945856 0.804858367

1.451079E-08 0.049416694 0.804858073

-0.001201498 0.018617142 0.364537196

0.358813536 0.551770455 2.9761511440.000128297 0.022591228 0.358858125

9.916869E-07 0.022241958 0.358813539

6.08372E-11 0.022239216 0.358813536

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON

fo fo' F (cm)

-0.000351099 0.007475332 0.166967683

0.160241328 0.552570455 3.1363924726.848927E-05 0.010390799 0.160376346

1.347184E-06 0.009982 0.160241384

5.645134E-10 0.009973628 0.160241328

-4.76795E-05 0.003742428 0.072740247

0.071617199 0.552730455 3.208009675.054724E-06 0.004535859 0.071625855

3.865889E-08 0.004466474 0.071617199

2.318151E-12 0.004465935 0.071617199

-1.40196E-05 0.001498116 0.033358126

0.032019213 0.552762455 3.2400288832.731516E-06 0.00208185 0.032046064

5.368097E-08 0.002000021 0.032019224

2.245121E-11 0.001998347 0.032019213

-2.75828E-06 0.000674341 0.014890334

0.014317634 0.552768855 3.2543465175.221789E-07 0.000929656 0.014328643

9.845574E-09 0.000894599 0.014317638

3.7829E-12 0.000893912 0.014317634

-6.97271E-07 0.000269773 0.006904654

0.006402682 0.552770135 3.2607491982.085621E-07 0.000431155 0.006420926

7.30467E-09 0.000400953 0.006402708

1.03575E-11 0.000399816 0.006402682

tiempo(t1+rt)h

Infiltración Acumulada

(cm)ffinal

tiempo(t1+rt)h

Infiltración Acumulada

(cm)ffinal

Ksefo

F

B

11

' 'fo

foff inicialfinal

Page 18: INFILTRACIÓN

-2.19578E-07 6.744801E-05 0.004335512

0.002863312 0.552770391 3.263612513.309209E-07 0.000270742 0.003113238

4.664327E-08 0.000194419 0.002873327

1.797077E-09 0.000179438 0.002863312

-2.78897E-08 5.395866E-05 0.001380872

0.00128049 0.552770442 3.2648938.342053E-09 8.623747E-05 0.001284138

2.92178E-10 8.019649E-05 0.001280495

4.154364E-13 7.996897E-05 0.00128049

-6.96196E-09 2.023473E-05 0.00066806

0.00057265 0.552770452 3.265465653.696462E-09 4.172197E-05 0.000579463

2.451078E-10 3.618891E-05 0.00057269

1.432026E-12 3.576592E-05 0.00057265

-1.68378E-09 6.744941E-06 0.000357635

0.000256097 0.552770455 3.2657217471.945967E-09 2.233533E-05 0.00027051

2.370218E-10 1.689416E-05 0.00025648

6.147273E-12 1.601796E-05 0.000256097

-2.04722E-10 5.058708E-06 0.000121469

0.00011453 0.552770455 3.2658362775.11422E-11 7.58613E-06 0.000114728

1.415386E-12 7.1651E-06 0.00011453

-8.13839E-17 7.152763E-06 0.00011453

-3.73053E-11 2.360733E-06 5.36024E-05

5.122085E-05 0.552770455 3.2658874987.798651E-12 3.347643E-06 5.127281E-05

1.709983E-13 3.202153E-06 5.121941E-05

-4.60344E-15 3.198817E-06 5.122085E-05

-8.08766E-12 1.017988E-06 2.424475E-05

2.290839E-05 0.552770455 3.2659104061.973094E-12 1.514164E-06 2.294166E-05

4.805787E-14 1.432781E-06 2.290812E-05

-3.94017E-16 1.430687E-06 2.290839E-05

-1.61496E-12 4.553344E-07 1.083756E-05

1.02488E-05 0.552770455 3.2659206553.903619E-13 6.768414E-07 1.026082E-05

6.42422E-15 6.408221E-07 1.02508E-05

1.282204E-15 6.40196E-07 1.02488E-05

F 1.453441

Page 19: INFILTRACIÓN

fo (mm/h) = 900 fc (mm/h) = 20 -290 k (min) = 0.8

30 cm

fo fo - fc

cm3 min min cm2 mm/h mm/h

300 2 2.00 706.86 127.32 107.32

400 3 5.00 706.86 113.18 93.18

500 6 11.00 706.86 70.74 50.74

750 11 22.00 706.86 57.87 37.87

580 12 34.00 706.86 41.03 21.03

850 23 57.00 706.86 31.37 11.37

800 25 82.00 706.86 27.16 7.16

750 30 112.00 706.86 21.22 1.22

diametro del infiltrometro para el ensayo =

VOLUMEN ADICIONA

DO

TIEMPO EN QUE SE

INFILTRO EL

VOLUMEN

TIEMPO ACUMULA

DO

AREA DE INFILTROM

ETRO

0.00 20.00 40.00 60.00 80.00 100.00 120.000.00

20.00

40.00

60.00

80.00

100.00

120.00

Column G

fo fc kmm/h mm/h min-1

desnudo 280 6-220 1.60cubierto de vegetación

900 20-290 0.80

Turba 325 2-20 1.80desnudo 210 2-25 2.00

cubierto de vegetación

670 10-30 1.40

Agrícola

Areno-Arcilloso

Tipo de suelo

Page 20: INFILTRACIÓN

0.00 20.00 40.00 60.00 80.00 100.00 120.000.00

20.00

40.00

60.00

80.00

100.00

120.00

Column G

Page 21: INFILTRACIÓN

fo fc kmm/h mm/h min-1

desnudo 280 6-220 1.60cubierto de vegetación

900 20-290 0.80

Turba 325 2-20 1.80desnudo 210 2-25 2.00

cubierto de vegetación

670 10-30 1.40

Agrícola

Areno-Arcilloso

Tipo de suelo