Calculo de Infiltracion IV

44
ECUACIÓN DE SMITH-PARLANGE DATOS DE INGRESO: TEXTURA DE SUELO: ARENOSO SIMBOLO VALOR UNIDAD 22 cm/h Intensidad de precipitacion 0.437 Contenido de humedad inicial 0.95 Saturacion relativa maxima. S1 = 0.045 Saturacion relativa inicial. Ks = 21 cm/h Conductividad hidraulica a saturacion natural G = 10.1 cm Potencial de escurrimiento o potencial de presi F = 0.46 Porosidad CALCULOS PREVIOS B = 4.20463 cm DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO F = 12.996689830664 cm DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO t1 = 0.427770455055521 h Ec.de Newto 5.5595999231 PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSON tiempo(t1+rt)h fo fo' F (cm) 0.01 1.25 -0.001967375 0.0122463057 1.4106504658 1.402733946358 0.437770455056 1.4106504658 0.0001071917 0.0135723299 1.4027526513 1.4027526513 2.526713E-07 0.0135083177 1.4027339465 1.4027339465 1.354311E-12 0.013508166 1.4027339464 0.002 0.5 -0.000638813 0.0053389551 0.6196513762 0.608633066072 0.439770455056 0.6196513762 7.130251E-05 0.0065251635 0.6087240621 0.6087240621 5.839929E-07 0.0064182267 0.6086330724 0.6086330724 4.039814E-11 0.0064173351 0.6086330661 0.0004 0.25 -5.29932E-05 0.0027488154 0.2692785512 0.268607444499 0.440170455056 0.2692785512 1.98011E-06 0.0029540779 0.2686082541 ip = Q = cm 3 /cm 3 Smáx = F = q/Smax CALCULO DE LA LAMINA INFILFRADA EN CADA INTERACCIÓN (DESPUES DEL TIEMPO DE ENCHARCAMIENTO) MEDIANTE EL PROCESO ITERATIVO DE NEWTON- RAPHSON 1o aproximac. = finicial (F=Ks*t) Diferencial del tiempo Dt = finicial ffinal F= B × Ln ( 1 1 Ks i p ) t 1 = ( 1 Ks ) × ( F 1 B × ( 1 1 e F1 B ) ) f o = ( F B × ( 1 1 e F B )) Ks Δ t fo ' = ( 1 1 e F B ) Ks f final = f inicial fo fo' B = G × Φ× ( S máx S 1 )

description

solo para estudiantes de ingenieria civil en el area de hidraulica

Transcript of Calculo de Infiltracion IV

Page 1: Calculo de Infiltracion IV

ECUACIÓN DE SMITH-PARLANGE

DATOS DE INGRESO:TEXTURA DE SUELO: ARENOSO SIMBOLO VALOR UNIDAD

22 cm/h Intensidad de precipitacion

0.437 Contenido de humedad inicial

0.95 Saturacion relativa maxima.S1 = 0.045 Saturacion relativa inicial.Ks = 21 cm/h Conductividad hidraulica a saturacion naturalG = 10.1 cm Potencial de escurrimiento o potencial de presión debido a capilaridad F = 0.46 Porosidad

CALCULOS PREVIOS

B = 4.20463 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 12.996689830664 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.427770455055521 h

Ec.de Newton-Raphson

5.5595999231

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.01

1.25 -0.0019673747 0.0122463057 1.4106504658

1.4027339463577 0.4377704550555 1.40273394635771.4106504658 0.0001071917 0.0135723299 1.4027526513

1.4027526513 2.5267134E-07 0.0135083177 1.4027339465

1.4027339465 1.3543108E-12 0.013508166 1.4027339464

0.002

0.5 -0.0006388133 0.0053389551 0.6196513762

0.6086330660717 0.4397704550555 2.01136701242940.6196513762 7.1302511E-05 0.0065251635 0.6087240621

0.6087240621 5.8399288E-07 0.0064182267 0.6086330724

0.6086330724 4.0398141E-11 0.0064173351 0.6086330661

0.0004

0.25 -5.299318E-05 0.0027488154 0.2692785512

0.2686074444988 0.4401704550555 2.27997445692810.2692785512 1.9801097E-06 0.0029540779 0.2686082541

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

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

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

F= B × Ln ( 1

1 − Ks

i p )

t1= ( 1Ks )× (F 1− B × (1− 1

eF1B ))

f o=( F − B × ( 1− 1

eFB ))

Ks− Δ t fo ' =

( 1− 1

eFB )

Ksf final = f inicial−

fofo '

B= G× Φ× ( Smáx− S1)

Page 2: Calculo de Infiltracion IV

0.00040.2686082541 2.385946E-09 0.0029469569 0.2686074445

0.2686074444988 0.4401704550555 2.2799744569281

0.2686074445 2.7764791E-15 0.0029469483 0.2686074445

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.00008

0.1 -2.381935E-05 0.0011191764 0.1212829277

0.1194220476653 0.4402504550555 2.39939650459340.1212829277 2.5004921E-06 0.0013539539 0.1194361203

0.1194361203 1.8766578E-08 0.0013336284 0.1194220485

0.1194220485 1.0842273E-12 0.0013334735 0.1194220477

0.000016

0.05 -1.89922E-06 0.0005629154 0.0533738992

0.053267775701 0.4402664550555 2.45266428029440.0533738992 6.3681078E-08 0.0006006592 0.0532678805

0.0532678805 6.282679E-11 0.0005994737 0.0532677757

0.0532677757 5.0367967E-17 0.0005994725 0.0532677757

0.0000032

0.02 -9.385104E-07 0.0002259697 0.0241532569

0.0237943009815 0.4402696550555 2.47645858127590.0241532569 9.7183609E-08 0.0002727606 0.0237969606

0.0237969606 7.1473512E-10 0.0002687484 0.0237943011

0.0237943011 3.9611497E-14 0.0002687184 0.023794301

0.00000064

0.009 -1.816491E-07 0.0001018194 0.0107840317

0.010635589752 0.4402702950555 2.48709417102790.0107840317 1.7982015E-08 0.0001219768 0.0106366101

0.0106366101 1.2274884E-10 0.0001203114 0.0106355898

0.0106355898 5.794306E-15 0.0001202999 0.0106355898

0.000000128

0.004 -3.742566E-08 4.5279979E-05 0.0048265387

0.004755272141 0.4402704230555 2.49184944316890.0048265387 3.8646395E-09 5.4631024E-05 0.004755798

0.004755798 2.8304017E-11 5.383077E-05 0.0047552722

0.0047552722 1.5414999E-15 5.3824822E-05 0.0047552721

0.0000000256

0.001 -1.993776E-08 1.1324033E-05 0.0027606586

0.002126401129 0.4402704486555 2.49397584429790.0027606586 1.7547267E-08 3.1255246E-05 0.0021992403

0.0021992403 1.7837292E-09 2.490072E-05 0.0021276067

0.0021276067 2.9041845E-11 2.4089859E-05 0.0021264011

0.00000000512

0.0008 -1.496107E-09 9.0594422E-06 0.0009651434

0.0009509110373 0.4402704537755 2.49492675533520.0009651434 1.5440393E-10 1.0929361E-05 0.000951016

0.000951016 1.1299256E-12 1.0769399E-05 0.000950911

0.000950911 1.4716106E-17 1.0768211E-05 0.000950911

0.000000001024

0.0003 -5.143699E-10 3.3974928E-06 0.0004513969

0.0004252514799 0.4402704547995 2.49535200681510.0004513969 1.2978404E-10 5.111967E-06 0.0004260086

0.0004260086 3.6495023E-12 4.8244651E-06 0.0004252522

0.0004252522 3.2717942E-15 4.8158988E-06 0.0004252515

2.048E-10

0.0001 -1.481735E-10 1.1325245E-06 0.0002308347

0.0001901764756 0.4402704550043 2.49554218329080.0002308347 9.6929152E-11 2.6142193E-06 0.0001937571

0.0001937571 7.7843989E-12 2.1943218E-06 0.0001902095

0.0001902095 7.1230038E-14 2.1541466E-06 0.0001901765

4.096E-11

0.000075 -9.107547E-12 8.4939594E-07 8.5722381E-05

8.504916338E-05 0.4402704550453 2.49562723245418.5722381E-05 6.5102132E-13 9.7082866E-07 8.5051798E-05

8.5051798E-05 2.5502682E-15 9.632342E-07 8.5049151E-05

8.5049151E-05 -1.226295E-17 9.6320422E-07 8.5049163E-05

8.192E-12

0.000035 -1.255219E-12 3.9638666E-07 3.8166654E-05

3.803503788E-05 0.4402704550535 2.4956652674923.8166654E-05 5.6766589E-14 4.322499E-07 3.8035326E-05

3.8035326E-05 1.2067657E-16 4.3076258E-07 3.8035046E-05

3.8035046E-05 3.4084905E-18 4.307594E-07 3.8035038E-05

1.6384E-12

0.00001509 -3.489691E-13 1.7089968E-07 1.7131953E-05

1.700973972E-05 0.4402704550551 2.49568227723171.7131953E-05 2.3639182E-14 1.9402549E-07 1.7010118E-05

1.7010118E-05 4.6789332E-17 1.9264566E-07 1.7009875E-05

1.7009875E-05 2.6033152E-17 1.9264291E-07 1.700974E-05

3.2768E-13

6.74962E-06 -6.971573E-14 7.6441951E-08 7.6616288E-06

7.607033697E-06 0.4402704550554 2.49568988426547.6616288E-06 4.7287212E-15 8.677078E-08 7.6071321E-06

7.6071321E-06 -5.911677E-18 8.6153585E-08 7.6072007E-06

7.6072007E-06 1.4388758E-17 8.6154362E-08 7.6070337E-06

F 1.0929559379077

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

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ECUACIÓN DE SMITH-PARLANGE

DATOS DE INGRESO:TEXTURA DE SUELO: ARENOSO MIGAJONSIMBOLO VALOR UNIDAD

22 cm/h

0.437

0.92

S1 = 0.08Ks = 6.1 cm/hG = 14.7 cmF = 0.475

CALCULOS PREVIOS

B = 5.8653 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 1.90459983033818 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.0456250037028763 h

Ec.de Newton-Raphson

0.0868973743

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.01

1.25 0.0103638865 0.0314654231 0.9206261827

0.8667432669548 0.0556250037029 0.86674326695480.9206261827 0.0012483598 0.023813603 0.8682040507

0.8682040507 3.2923196E-05 0.0225556361 0.8667444068

0.8667444068 2.5670621E-08 0.0225204481 0.866743267

0.002

0.5 0.0013965381 0.0133958454 0.3957484133

0.3824139714943 0.0576250037029 1.24915723844920.3957484133 0.0001403035 0.0106962077 0.3826312857

0.3826312857 2.2492627E-06 0.0103531231 0.3824140312

0.3824140312 6.1729768E-10 0.0103474343 0.3824139715

0.0004

0.25 0.0004611552 0.0068406457 0.1825860104

0.1699995979509 0.0580250037029 1.41915683640.1825860104 6.1094669E-05 0.0050246414 0.1704269995

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

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

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

F= B × Ln ( 1

1 − Ks

i p )

t 1 = ( 1Ks )× (F 1− B × (1− 1

eF1B ))

f o=( F − B × ( 1− 1

eFB ))

Ks− Δ t fo ' =

( 1− 1

eFB )

Ksf final = f inicial−

fofo '

B= G× Φ× ( Smáx− S1)

Page 4: Calculo de Infiltracion IV

0.00040.1704269995 2.004117E-06 0.0046948732 0.170000126

0.1699995979509 0.0580250037029 1.4191568364

0.170000126 2.4730561E-09 0.0046832834 0.169999598

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.00008

0.1 5.8958554E-05 0.0027712954 0.078725273

0.0758236593387 0.0581050037029 1.49498049573870.078725273 6.225833E-06 0.0021856602 0.0758767822

0.0758767822 1.118957E-07 0.0021070876 0.0758236778

0.0758236778 3.8870066E-11 0.0021056224 0.0758236593

0.000016

0.05 1.8838283E-05 0.0013915538 0.0364624112

0.0338690325387 0.0581210037029 1.52884952827740.0364624112 2.5413446E-06 0.0010159585 0.0339609856

0.0339609856 8.6912683E-08 0.0009464624 0.0338691566

0.0338691566 1.1713843E-10 0.0009439106 0.0338690325

0.0000032

0.02 2.3836275E-06 0.0005580454 0.0157286139

0.0151386379344 0.0581242037029 1.54398816621180.0157286139 2.5416216E-07 0.0004390238 0.0151496882

0.0151496882 4.671303E-09 0.0004228854 0.015138642

0.015138642 1.6994688E-12 0.0004225775 0.0151386379

0.00000064

0.009 4.9139134E-07 0.0002513559 0.0070450379

0.0067685951639 0.0581248437029 1.55075676137570.0070450379 5.3334382E-08 0.0001967897 0.0067740156

0.0067740156 1.0252695E-09 0.0001892236 0.0067685973

0.0067685973 4.0937297E-13 0.0001890723 0.0067685952

0.000000128

0.004 9.5548212E-08 0.0001117614 0.0031450694

0.0030266859826 0.0581249717029 1.55378344735820.0031450694 1.0207875E-08 8.788072E-05 0.0030289134

0.0030289134 1.8844994E-10 8.4635882E-05 0.0030266868

0.0030266868 6.928016E-14 8.4573681E-05 0.003026686

0.0000000256

0.001 -1.162585E-08 2.7947488E-05 0.0014159892

0.0013535107693 0.0581249973029 1.55513695812760.0014159892 2.4178561E-09 3.9571939E-05 0.001354889

0.001354889 5.2158773E-11 3.7864598E-05 0.0013535115

0.0013535115 2.6626881E-14 3.7826106E-05 0.0013535108

0.00000000512

0.0008 3.8235547E-09 2.2358372E-05 0.0006289878

0.0006052955476 0.0581250024229 1.55574225367520.0006289878 4.0864661E-10 1.7579185E-05 0.0006057417

0.0006057417 7.5509285E-12 1.6929529E-05 0.0006052957

0.0006052957 2.7651235E-15 1.6917064E-05 0.0006052955

0.000000001024

0.0003 2.3372308E-10 8.3847468E-06 0.0002721252

0.0002706938297 0.0581250034469 1.55601294750490.0002721252 1.0857971E-11 7.6056879E-06 0.0002706976

0.0002706976 2.8592109E-14 7.5657882E-06 0.0002706938

0.0002706938 -1.018263E-16 7.5656826E-06 0.0002706938

2.048E-10

0.0001 -6.505149E-11 2.7949632E-06 0.0001232745

0.0001210574752 0.0581250036517 1.55613400498020.0001232745 7.5702114E-12 3.4454713E-06 0.0001210774

0.0001210774 6.7475399E-14 3.3840626E-06 0.0001210575

0.0001210575 -7.025234E-17 3.3835053E-06 0.0001210575

4.096E-11

0.000075 3.7648656E-11 2.0962269E-06 5.7039799E-05

5.413840396E-05 0.0581250036926 1.55618814338415.7039799E-05 4.5077315E-12 1.5942473E-06 5.4212301E-05

5.4212301E-05 1.1179849E-13 1.5152198E-06 5.4138517E-05

5.4138517E-05 1.7105706E-16 1.5131576E-06 5.4138404E-05

8.192E-12

0.000035 8.9272316E-12 9.7824255E-07 2.5874215E-05

2.421152499E-05 0.0581250037008 1.55621235490912.5874215E-05 1.1639976E-12 7.2317936E-07 2.4264659E-05

2.4264659E-05 3.6022536E-14 6.7819267E-07 2.4211543E-05

2.4211543E-05 1.2408173E-17 6.7670811E-07 2.4211525E-05

1.6384E-12

0.00001509 1.543668E-12 4.2176301E-07 1.1429964E-05

1.082741374E-05 0.0581250037025 1.55622318232291.1429964E-05 1.8736363E-13 3.1946569E-07 1.0843473E-05

1.0843473E-05 4.6726851E-15 3.0307339E-07 1.0828055E-05

1.0828055E-05 1.9414919E-16 3.0264246E-07 1.0827414E-05

3.2768E-13

6.74962E-06 3.0897414E-13 1.886509E-07 5.111811E-06

4.842619078E-06 0.0581250037028 1.55622802494195.111811E-06 3.7444895E-14 1.4287439E-07 4.8497284E-06

4.8497284E-06 9.3457632E-16 1.3554922E-07 4.8428336E-06

4.8428336E-06 2.9039915E-17 1.3535652E-07 4.8426191E-06

F 0.6894847579871

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

Page 5: Calculo de Infiltracion IV

ECUACIÓN DE SMITH-PARLANGE

DATOS DE INGRESO:TEXTURA DE SUELO: MIGAJON ARENOSOSIMBOLO VALOR UNIDAD

22 cm/h

0.453

0.91

S1 = 0.09Ks = 2.6 cm/hG = 24.8 cmF = 0.4978022

CALCULOS PREVIOS

B = 10.1233054945055 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 1.27320192938366 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.02954293161989 h

Ec.de Newton-Raphson

0.0376141175

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.01

1.25 0.0184971916 0.0446763203 0.8359732532

0.7343136615616 0.0395429316199 0.73431366156160.8359732532 0.0029177387 0.0304851361 0.740263046

0.740263046 0.0001607291 0.0271211559 0.7343367077

0.7343367077 6.2021355E-07 0.0269118121 0.7343136616

0.002

0.5 0.0026719008 0.0185350265 0.3558458623

0.3262150922247 0.0415429316199 1.06052875378630.3558458623 0.0003775211 0.0132848141 0.3274283677

0.3274283677 1.4824604E-05 0.0122409746 0.3262173037

0.3262173037 2.6971643E-08 0.0121964244 0.3262150922

0.0004

0.25 0.0007775698 0.0093819403 0.167120582

0.1454559919587 0.0419429316199 1.2059847457450.167120582 0.000127652 0.0062972984 0.1468496596

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

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

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

F= B × Ln ( 1

1 − Ks

i p )

t 1 = ( 1Ks )× (F 1− B × (1− 1

eF1B ))

f o=( F − B × ( 1− 1

eFB ))

Ks− Δ t fo ' =

( 1− 1

eFB )

Ksf final = f inicial−

fofo '

B= G× Φ× ( Smáx− S1)

Page 6: Calculo de Infiltracion IV

0.00040.1468496596 7.6831538E-06 0.005538995 0.1454625571

0.1454559919587 0.0419429316199 1.205984745745

0.1454625571 3.6023286E-08 0.0054870501 0.145455992

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.00008

0.1 0.0001093414 0.0037806017 0.0710783197

0.0649638994264 0.0420229316199 1.27094864517140.0710783197 1.5748677E-05 0.002691024 0.0652260208

0.0652260208 6.4618743E-07 0.0024701692 0.0649644243

0.0649644243 1.2914496E-09 0.002460294 0.0649638994

0.000016

0.05 3.1413237E-05 0.001894969 0.0334228227

0.029035572402 0.0420389316199 1.29998421757350.0334228227 5.1974072E-06 0.0012677411 0.029323084

0.029323084 3.1827995E-07 0.0011124615 0.0290369798

0.0290369798 1.5503934E-09 0.0011016228 0.0290355724

0.0000032

0.02 4.3936111E-06 0.0007591109 0.014212162

0.0129816723179 0.0420421316199 1.31296588989130.014212162 6.3522985E-07 0.0005395846 0.0130349047

0.0130349047 2.6291843E-08 0.0004949171 0.0129817809

0.0129817809 5.3533417E-11 0.0004929014 0.0129816723

0.00000064

0.009 8.9826316E-07 0.0003417855 0.0063718512

0.0058048945363 0.0420427716199 1.31877078442760.0063718512 1.3110667E-07 0.0002420099 0.0058301103

0.0058301103 5.5717148E-09 0.0002214399 0.005804949

0.005804949 1.2017229E-11 0.0002204845 0.0058048945

0.000000128

0.004 1.7590448E-07 0.0001519422 0.0028422934

0.0025958906143 0.0420428996199 1.32136667504190.0028422934 2.5451618E-08 0.0001079722 0.0026065696

0.0026065696 1.0552591E-09 9.9018787E-05 0.0025959125

0.0025959125 2.1568195E-12 9.8613993E-05 0.0025958906

0.0000000256

0.001 -6.604094E-09 3.7991175E-05 0.0011738323

0.0011608901386 0.0420429252199 1.32252756518040.0011738323 5.739731E-10 4.4594886E-05 0.0011609615

0.0011609615 3.1465655E-12 4.4105941E-05 0.0011608902

0.0011608902 5.7583421E-16 4.4103231E-05 0.0011608901

0.00000000512

0.0008 7.0374601E-09 3.039324E-05 0.0005684531

0.0005191603467 0.0420429303399 1.32304672552720.0005684531 1.0184045E-09 2.1596662E-05 0.0005212975

0.0005212975 4.2238883E-11 1.9805172E-05 0.0005191648

0.0005191648 8.6930846E-14 1.9724147E-05 0.0005191603

0.000000001024

0.0003 6.8567059E-10 1.1397747E-05 0.0002398416

0.0002321744771 0.0420429313639 1.32327890000430.0002398416 6.8747594E-11 9.112205E-06 0.000232297

0.000232297 1.0814312E-12 8.8255708E-06 0.0002321745

0.0002321745 -6.431913E-17 8.8209154E-06 0.0002321745

2.048E-10

0.0001 -1.483566E-11 3.7992864E-06 0.0001039049

0.000103831515 0.0420429315687 1.32338273151930.0001039049 2.8985052E-13 3.9476422E-06 0.0001038314

0.0001038314 4.0851239E-16 3.9448527E-06 0.0001038313

0.0001038313 -7.394127E-16 3.9448488E-06 0.0001038315

4.096E-11

0.000075 6.5895272E-11 2.8494683E-06 5.1874538E-05

4.643450151E-05 0.0420429316097 1.32342916602085.1874538E-05 1.0158493E-11 1.9708669E-06 4.6720211E-05

4.6720211E-05 5.0491771E-13 1.7750393E-06 4.6435756E-05

4.6435756E-05 2.2139044E-15 1.764232E-06 4.6434502E-05

8.192E-12

0.000035 1.507859E-11 1.3297545E-06 2.3660621E-05

2.076597335E-05 0.0420429316178 1.32344993199422.3660621E-05 2.4428984E-12 8.9893815E-07 2.0943083E-05

2.0943083E-05 1.4039797E-13 7.9569082E-07 2.0766635E-05

2.0766635E-05 5.2240953E-16 7.8898704E-07 2.0765973E-05

1.6384E-12

0.00001509 2.6874869E-12 5.7331472E-07 1.0402371E-05

9.286100948E-06 0.0420429316195 1.32345921809511.0402371E-05 4.1748059E-13 3.952176E-07 9.3460397E-06

9.3460397E-06 2.0598207E-14 3.550844E-07 9.2880304E-06

9.2880304E-06 6.8084912E-16 3.5288045E-07 9.2861009E-06

3.2768E-13

6.74962E-06 5.375002E-13 2.5643858E-07 4.6536007E-06

4.151063318E-06 0.0420429316198 1.32346336915844.6536007E-06 8.3244868E-14 1.7680445E-07 4.1827706E-06

4.1827706E-06 5.1659725E-15 1.5891618E-07 4.150263E-06

4.150263E-06 -1.261896E-16 1.5768113E-07 4.1510633E-06

F 0.5891497075968

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

Page 7: Calculo de Infiltracion IV

ECUACIÓN DE SMITH-PARLANGE

DATOS DE INGRESO:TEXTURA DE SUELO: MIGAJONSIMBOLO VALOR UNIDAD

22 cm/h

0.463

0.94

S1 = 0.06Ks = 1.3 cm/hG = 37.5 cmF = 0.49255319

CALCULOS PREVIOS

B = 16.2542553191489 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 0.990026423846977 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.0227292187280327 h

Ec.de Newton-Raphson

0.0225025271

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.01

1.25 0.0260427451 0.0569386723 0.7926176253

0.6544474814457 0.032729218728 0.65444748144570.7926176253 0.0046270377 0.0366106376 0.6662325631

0.6662325631 0.0003609092 0.0308919429 0.6545496074

0.6545496074 3.1006522E-06 0.0303610618 0.6544474814

0.002

0.5 0.0038554172 0.0233021966 0.3345470474

0.2915961519766 0.034729218728 0.94604363342240.3345470474 0.0006302651 0.0156705758 0.2943273984

0.2943273984 3.7527835E-05 0.0138036527 0.2916087097

0.2916087097 1.7175525E-07 0.0136772893 0.291596152

0.0004

0.25 0.0010713496 0.0117406969 0.1587490623

0.1301905871191 0.035129218728 1.07623422054150.1587490623 0.0001943869 0.0074762108 0.1327483429

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

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

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

F= B × Ln ( 1

1 − Ks

i p )

t 1 = ( 1Ks )× (F 1− B × (1− 1

eF1B ))

f o=( F − B × ( 1− 1

eFB ))

Ks− Δ t fo ' =

( 1− 1

eFB )

Ksf final = f inicial−

fofo '

B= G× Φ× ( Smáx− S1)

Page 8: Calculo de Infiltracion IV

0.00040.1327483429 1.5849614E-05 0.0062567142 0.1302151259

0.1301905871191 0.035129218728 1.0762342205415

0.1302151259 1.5061428E-07 0.0061377958 0.1301905871

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.00008

0.1 0.0001561399 0.0047179592 0.0669052002

0.0581800664715 0.035209218728 1.1344142870130.0669052002 2.5775151E-05 0.0031597724 0.0587479195

0.0587479195 1.5683148E-06 0.0027752194 0.0581828057

0.0581828057 7.5290333E-09 0.0027485715 0.0581800665

0.000016

0.05 4.3095496E-05 0.0023626079 0.0317593528

0.0260103397123 0.035225218728 1.16042462672530.0317593528 7.8517392E-06 0.0015015399 0.0265302281

0.0265302281 6.4582369E-07 0.0012545155 0.0260154289

0.0260154289 6.2606199E-09 0.0012301921 0.0260103397

0.0000032

0.02 6.2610962E-06 0.0009459153 0.0133809128

0.0116304626578 0.035228418728 1.17205508938310.0133809128 1.0355702E-06 0.0006329894 0.0117449134

0.0117449134 6.3282076E-08 0.0005556257 0.0116310201

0.0116310201 3.0670063E-10 0.0005502396 0.0116304627

0.00000064

0.009 1.2763042E-06 0.0004258059 0.0060026155

0.0052009581595 0.035229058728 1.17725604754260.0060026155 2.1248581E-07 0.0002840206 0.0052544801

0.0052544801 1.3239271E-08 0.0002486274 0.0052012307

0.0052012307 6.7070224E-11 0.0002461082 0.0052009582

0.000000128

0.004 2.5056803E-07 0.0001892762 0.0026761778

0.0023258706476 0.035229186728 1.17958191819020.0026761778 4.1459402E-08 0.0001266393 0.0023487961

0.0023487961 2.5356978E-09 0.0001111484 0.0023259825

0.0023259825 1.2310961E-11 0.0001100689 0.0023258706

0.0000000256

0.001 -1.938043E-09 4.7323415E-05 0.0010409531

0.0010401472416 0.035229212328 1.18062206543180.0010409531 3.968517E-11 4.9261396E-05 0.0010401475

0.0010401475 1.3421378E-14 4.9223273E-05 0.0010401473

0.0010401473 1.3028335E-15 4.922326E-05 0.0010401472

0.00000000512

0.0008 1.0023715E-08 3.7858965E-05 0.0005352354

0.0004651652495 0.035229217448 1.18108723068130.0005352354 1.6586685E-09 2.5329528E-05 0.0004697518

0.0004697518 1.014632E-10 2.2230621E-05 0.0004651877

0.0004651877 4.9348114E-13 2.2014631E-05 0.0004651652

0.000000001024

0.0003 1.1056056E-09 1.419733E-05 0.0002221258

0.0002080277878 0.035229218472 1.18129525846910.0002221258 1.4349642E-10 1.0512003E-05 0.0002084751

0.0002084751 4.409346E-12 9.8659933E-06 0.0002080282

0.0002080282 3.6975705E-15 9.844843E-06 0.0002080278

2.048E-10

0.0001 3.1824031E-11 4.7324725E-06 9.327539E-05

9.303314765E-05 0.0352292186768 1.18138829161689.327539E-05 1.0698476E-12 4.4142331E-06 9.3033027E-05

9.3033027E-05 1.9578321E-15 4.4027634E-06 9.3032582E-05

9.3032582E-05 -2.488398E-15 4.4027424E-06 9.3033148E-05

4.096E-11

0.000075 9.2140222E-11 3.5493571E-06 4.9040307E-05

4.160538337E-05 0.0352292187178 1.18142989700014.9040307E-05 1.5945363E-11 2.3208227E-06 4.2169742E-05

4.2169742E-05 1.1200555E-12 1.995675E-06 4.16085E-05

4.16085E-05 6.1375669E-15 1.9691144E-06 4.1605383E-05

8.192E-12

0.000035 2.0793146E-11 1.6563687E-06 2.2446547E-05

1.860532394E-05 0.035229218726 1.18144850232412.2446547E-05 3.7291412E-12 1.0622792E-06 1.8936038E-05

1.8936038E-05 2.9411046E-13 8.9614503E-07 1.8607843E-05

1.8607843E-05 2.2181499E-15 8.8061325E-07 1.8605324E-05

1.6384E-12

0.00001509 3.7483683E-12 7.1413197E-07 9.8411546E-06

8.321764318E-06 0.0352292187276 1.18145682408849.8411546E-06 6.5388713E-13 4.6573123E-07 8.4371535E-06

8.4371535E-06 4.5384773E-14 3.992871E-07 8.323489E-06

8.323489E-06 6.7937333E-16 3.9390794E-07 8.3217643E-06

3.2768E-13

6.74962E-06 7.5031774E-13 3.1942483E-07 4.400655E-06

3.717056977E-06 0.035229218728 1.18146054114544.400655E-06 1.2953906E-13 2.082604E-07 3.7786498E-06

3.7786498E-06 1.0602555E-14 1.7882409E-07 3.7193594E-06

3.7193594E-06 4.0526555E-16 1.7601818E-07 3.717057E-06

F 0.5270130596996

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

Page 9: Calculo de Infiltracion IV

ECUACIÓN DE SMITH-PARLANGE

DATOS DE INGRESO:TEXTURA DE SUELO: MIGAJON LIMOSOSIMBOLO VALOR UNIDAD

22 cm/h

0.501

0.97

S1 = 0.03Ks = 0.68 cm/hG = 48.5 cmF = 0.51649485

CALCULOS PREVIOS

B = 23.547 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 0.739301722566645 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.0168905548310969 h

Ec.de Newton-Raphson

0.0124872163

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.01

1.25 0.0379396173 0.0760307333 0.7509962993

0.5681727265232 0.0268905548311 0.56817272652320.7509962993 0.0074259434 0.0461621461 0.5901297887

0.5901297887 0.0007845018 0.0363975523 0.5685760922

0.5685760922 1.4151749E-05 0.0350841683 0.5681727265

0.002

0.5 0.0057517007 0.0308974476 0.3138454417

0.2535309017322 0.0288905548311 0.82170362825540.3138454417 0.0010621736 0.0194706375 0.2592928575

0.2592928575 9.1770186E-05 0.0161048601 0.2535945661

0.2535945661 1.002895E-06 0.0157528377 0.2535309017

0.0004

0.25 0.0015447774 0.015530733 0.1505341581

0.113270136671 0.0292905548311 0.93497376492640.1505341581 0.0003061072 0.0093713674 0.1178700656

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

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

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

F= B × Ln ( 1

1 − Ks

i p )

t 1 = ( 1Ks )× (F 1− B × (1− 1

eF1B ))

f o=( F − B × ( 1− 1

eFB ))

Ks− Δ t fo ' =

( 1− 1

eFB )

Ksf final = f inicial−

fofo '

B= G× Φ× ( Smáx− S1)

Page 10: Calculo de Infiltracion IV

0.00040.1178700656 3.3119968E-05 0.0073429804 0.1133596399

0.113270136671 0.0292905548311 0.9349737649264

0.1133596399 6.3213151E-07 0.0070626691 0.1132701367

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.00008

0.1 0.000231825 0.0062320871 0.0628013857

0.0506334910396 0.0293705548311 0.98560725596590.0628013857 4.3048961E-05 0.0039169279 0.0518108949

0.0518108949 3.7624216E-06 0.003232204 0.0506468527

0.0506468527 4.2218484E-08 0.0031596637 0.050633491

0.000016

0.05 6.2011419E-05 0.0031193518 0.0301204155

0.022639507029 0.0293865548311 1.00824676299490.0301204155 1.231798E-05 0.0018799166 0.0235680081

0.0235680081 1.3390933E-06 0.0014711635 0.0226577807

0.0226577807 2.5845763E-08 0.0014143725 0.022639507

0.0000032

0.02 9.2871276E-06 0.0012485356 0.0125615839

0.0101237956387 0.0293897548311 1.01837055863360.0125615839 1.7264841E-06 0.0007843031 0.0103602868

0.0103602868 1.5123877E-07 0.0006468917 0.0101264938

0.0101264938 1.7060326E-09 0.000632297 0.0101237956

0.00000064

0.009 1.8890371E-06 0.0005619723 0.0056385582

0.0045273197453 0.0293903948311 1.02289787837880.0056385582 3.5272047E-07 0.0003521044 0.0046368085

0.0046368085 3.1328865E-08 0.0002895555 0.0045286121

0.0045286121 3.6546898E-10 0.0002827996 0.0045273197

0.000000128

0.004 3.7159824E-07 0.000249792 0.0025123692

0.0020246430348 0.0293905228311 1.02492252141370.0025123692 6.9095622E-08 0.0001568974 0.0020719818

0.0020719818 6.055497E-09 0.0001293964 0.0020251837

0.0020251837 6.8385336E-11 0.000126474 0.002024643

0.0000000256

0.001 5.6262177E-09 6.2451971E-05 0.0009099113

0.0009054406748 0.0293905484311 1.02582796208840.0009099113 2.5341773E-10 5.6825862E-05 0.0009054517

0.0009054517 6.2640122E-13 5.6547359E-05 0.0009054407

0.0009054407 -8.035162E-16 5.6546667E-05 0.0009054407

0.00000000512

0.0008 1.4864834E-08 4.9961789E-05 0.000502476

0.0004049240518 0.0293905535511 1.02623288614020.000502476 2.7641143E-09 3.1380945E-05 0.0004143934

0.0004143934 2.4227182E-10 2.5880005E-05 0.000405032

0.000405032 2.7313652E-12 2.5295368E-05 0.0004049241

0.000000001024

0.0003 1.7863879E-09 1.873587E-05 0.0002046541

0.000181086825 0.0293905545751 1.02641397296520.0002046541 2.8387424E-10 1.2781269E-05 0.0001824439

0.0001824439 1.5397995E-11 1.1394182E-05 0.0001810926

0.0001810926 6.4815407E-14 1.1309784E-05 0.0001810868

2.048E-10

0.0001 1.0747147E-10 6.2453164E-06 8.279167E-05

8.098405633E-05 0.0293905547799 1.02649495702158.279167E-05 9.2365365E-12 5.1706037E-06 8.1005314E-05

8.1005314E-05 1.0606441E-13 5.0590403E-06 8.0984349E-05

8.0984349E-05 1.4804796E-15 5.0577309E-06 8.0984056E-05

4.096E-11

0.000075 1.3469034E-10 4.6839898E-06 4.6244527E-05

3.621892247E-05 0.0293905548209 1.0265311759444.6244527E-05 2.5822121E-11 2.8881204E-06 3.7303722E-05

3.7303722E-05 2.4922107E-12 2.3297386E-06 3.6233984E-05

3.6233984E-05 3.4082118E-14 2.26293E-06 3.6218922E-05

8.192E-12

0.000035 3.0056754E-11 2.1858638E-06 2.1249484E-05

1.61924487E-05 0.029390554829 1.02654736839272.1249484E-05 5.9085377E-12 1.3270998E-06 1.6797266E-05

1.6797266E-05 6.1385018E-13 1.0490443E-06 1.6212114E-05

1.6212114E-05 1.9911459E-14 1.0124996E-06 1.6192449E-05

1.6384E-12

0.00001509 5.4705067E-12 9.4241995E-07 9.2852559E-06

7.249808705E-06 0.0293905548307 1.02655461820149.2852559E-06 1.0526445E-12 5.7989473E-07 7.4700221E-06

7.4700221E-06 1.0355828E-13 4.6652744E-07 7.2480453E-06

7.2480453E-06 -7.982373E-16 4.5266426E-07 7.2498087E-06

3.2768E-13

6.74962E-06 1.0945488E-12 4.2153596E-07 4.1530472E-06

3.233631306E-06 0.029390554831 1.02655785183274.1530472E-06 2.0929327E-13 2.5937147E-07 3.3461224E-06

3.3461224E-06 2.3752092E-14 2.0897636E-07 3.2324632E-06

3.2324632E-06 -2.358244E-16 2.0187797E-07 3.2336313E-06

F 0.4583851253095

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

Page 11: Calculo de Infiltracion IV

ECUACIÓN DE SMITH-PARLANGE

DATOS DE INGRESO:TEXTURA DE SUELO: MIGAJON ARCILLO ARENOSOSIMBOLO VALOR UNIDAD

22 cm/h

0.398

0.83

S1 = 0.17Ks = 0.43 cm/hG = 61.7 cmF = 0.47951807

CALCULOS PREVIOS

B = 19.526934939759 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 0.385442031252599 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.0087891329111689 h

Ec.de Newton-Raphson

0.0033877012

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.01

1.25 0.0810898093 0.1442052705 0.6876779085

0.4112451565241 0.0187891329112 0.41124515652410.6876779085 0.017832639 0.0804743727 0.4660838978

0.4660838978 0.0028335609 0.0548515249 0.4144251537

0.4144251537 0.0001552994 0.0488363301 0.4112451565

0.002

0.5 0.0127607553 0.0587921044 0.2829512071

0.1835543511396 0.0207891329112 0.59479950766370.2829512071 0.0027445542 0.0334553945 0.2009149827

0.2009149827 0.0003955426 0.0238055006 0.1842993874

0.1842993874 1.6276115E-05 0.0218460717 0.1835543511

0.0004

0.25 0.0033059202 0.0295842259 0.138253956

0.0820192136919 0.0211891329112 0.67681872135570.138253956 0.0007355291 0.0164073472 0.0934247073

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

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

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

F= B × Ln ( 1

1 − Ks

i p )

t 1 = ( 1Ks )× (F 1− B × (1− 1

eF1B ))

f o=( F − B × ( 1− 1

eFB ))

Ks− Δ t fo ' =

( 1− 1

eFB )

Ksf final = f inicial−

fofo '

B= G× Φ× ( Smáx− S1)

Page 12: Calculo de Infiltracion IV

0.00040.0934247073 0.0001189179 0.0110999385 0.0827113266

0.0820192136919 0.0211891329112 0.6768187213557

0.0827113266 6.8033031E-06 0.0098297588 0.0820192137

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.00008

0.1 0.0005144652 0.011879161 0.0566917911

0.0366649429527 0.0212691329112 0.71348366430840.0566917911 0.0001111999 0.0067419764 0.0401981277

0.0401981277 1.6157056E-05 0.0047825136 0.036819767

0.036819767 6.7827741E-07 0.0043809569 0.036664943

0.000016

0.05 0.0001327431 0.0059471848 0.0276796719

0.0163946829461 0.0212851329112 0.72987834725440.0276796719 2.9602029E-05 0.0032942041 0.0186935775

0.0186935775 4.8024142E-06 0.0022252658 0.0165354469

0.0165354469 2.7709E-07 0.0019684727 0.0163946829

0.0000032

0.02 2.0611086E-05 0.0023807015 0.0113424316

0.007331154308 0.0212883329112 0.73720950156240.0113424316 4.4594171E-06 0.0013504465 0.0080402517

0.0080402517 6.4899331E-07 0.0009573651 0.0073623564

0.0073623564 2.7353686E-08 0.0008766622 0.0073311543

0.00000064

0.009 4.1826503E-06 0.0010716174 0.005096881

0.0032784811431 0.0212889729112 0.74048798270550.005096881 9.0681607E-07 0.0006069391 0.0036028003

0.0036028003 1.3289615E-07 0.0004290397 0.0032930477

0.0032930477 5.7123766E-09 0.0003921559 0.0032784811

0.000000128

0.004 8.2470358E-07 0.0004763354 0.0022686493

0.0014661575045 0.0212891009112 0.741954140210.0022686493 1.7846819E-07 0.0002701715 0.0016080755

0.0016080755 2.5981458E-08 0.0001915075 0.0014724075

0.0014724075 1.0959422E-09 0.0001753513 0.0014661575

0.0000000256

0.001 3.3947018E-08 0.000119093 0.0007149537

0.0006556750294 0.0212891265112 0.74260981523940.0007149537 4.8381275E-09 8.5146597E-05 0.0006581325

0.0006581325 1.9225474E-10 7.8379661E-05 0.0006556797

0.0006556797 3.6309132E-13 7.8087544E-05 0.000655675

0.00000000512

0.0008 3.2990228E-08 9.5274883E-05 0.0004537364

0.0002932286108 0.0212891316312 0.74290304385020.0004537364 7.1394518E-09 5.4037577E-05 0.0003216162

0.0003216162 1.0394344E-09 3.8302904E-05 0.000294479

0.000294479 4.3852516E-11 3.507102E-05 0.0002932286

0.000000001024

0.0003 4.3352981E-09 3.5728538E-05 0.0001786601

0.0001311342693 0.0212891326552 0.74303417811950.0001786601 8.7673014E-10 2.1277611E-05 0.0001374557

0.0001374557 1.0110531E-10 1.6370375E-05 0.0001312796

0.0001312796 2.272392E-12 1.563483E-05 0.0001311343

2.048E-10

0.0001 3.9067708E-10 1.1909574E-05 6.7196385E-05

5.864489612E-05 0.02128913286 0.74309282301566.7196385E-05 6.4077756E-11 8.0028098E-06 5.9189477E-05

5.9189477E-05 3.8163458E-12 7.0492219E-06 5.8648092E-05

5.8648092E-05 2.232196E-14 6.9847452E-06 5.8644896E-05

4.096E-11

0.000075 2.939984E-10 8.9321861E-06 4.2085505E-05

2.622576503E-05 0.0212891329009 0.74311904878074.2085505E-05 6.4513501E-11 5.0122117E-06 2.9214241E-05

2.9214241E-05 9.8673999E-12 3.4792978E-06 2.6378209E-05

2.6378209E-05 4.7890714E-13 3.1415381E-06 2.6225765E-05

8.192E-12

0.000035 6.4752588E-11 4.1683578E-06 1.9465684E-05

1.173116845E-05 0.0212891329091 0.74313077994911.9465684E-05 1.4373412E-11 2.3182848E-06 1.3265664E-05

1.3265664E-05 2.2899799E-12 1.5798875E-06 1.1816206E-05

1.1816206E-05 1.1967062E-13 1.407263E-06 1.1731168E-05

1.6384E-12

0.00001509 1.1921359E-11 1.7971586E-06 8.4565513E-06

5.235345303E-06 0.0212891329108 0.74313601529448.4565513E-06 2.6189456E-12 1.0071416E-06 5.8561765E-06

5.8561765E-06 3.9891859E-13 6.9744734E-07 5.284207E-06

5.284207E-06 3.0750024E-14 6.2932806E-07 5.2353453E-06

3.2768E-13

6.74962E-06 2.3814943E-12 8.038529E-07 3.7870203E-06

2.343211942E-06 0.0212891329111 0.74313835850633.7870203E-06 5.2773488E-13 4.5101909E-07 2.616926E-06

2.616926E-06 8.0510785E-14 3.1166551E-07 2.3586016E-06

2.3586016E-06 4.32297E-15 2.8090011E-07 2.3432119E-06

F 0.3318932019822

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

Page 13: Calculo de Infiltracion IV

ECUACIÓN DE SMITH-PARLANGE

DATOS DE INGRESO:TEXTURA DE SUELO: MIGAJON ARCILLOSOSIMBOLO VALOR UNIDAD

22 cm/h

0.464

0.84

S1 = 0.16Ks = 0.23 cm/hG = 53.3 cmF = 0.55238095

CALCULOS PREVIOS

B = 20.0204952380952 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 0.210406958542879 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.00479062830291807 h

Ec.de Newton-Raphson

0.0010079815

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.01

1.25 0.1561864977 0.2631601291 0.656496348

0.3044260726977 0.0147906283029 0.30442607269770.656496348 0.0362911446 0.1402582667 0.3977512098

0.3977512098 0.0070655015 0.0855267089 0.3151395716

0.3151395716 0.0007274747 0.0679026242 0.3044260727

0.002

0.5 0.0249215128 0.1072396491 0.2676091535

0.1359037690377 0.0167906283029 0.44032984173530.2676091535 0.0057417011 0.0577296413 0.168150696

0.168150696 0.0010616086 0.0363641431 0.1389568657

0.1389568657 9.1814547E-05 0.0300725972 0.135903769

0.0004

0.25 0.0063583634 0.0539546009 0.1321534529

0.0607672212742 0.0171906283029 0.50109706300950.1321534529 0.00149221 0.0286050789 0.0799875427

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

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

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

F= B × Ln ( 1

1 − Ks

i p )

t 1 = ( 1Ks )× (F 1− B × (1− 1

eF1B ))

f o=( F − B × ( 1− 1

eFB ))

Ks− Δ t fo ' =

( 1− 1

eFB )

Ksf final = f inicial−

fofo '

B= G× Φ× ( Smáx− S1)

Page 14: Calculo de Infiltracion IV

0.00040.0799875427 0.0002937993 0.0173361356 0.063040321

0.0607672212742 0.0171906283029 0.5010970630095

0.063040321 3.1070665E-05 0.0136688526 0.0607672213

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.00008

0.1 0.0010040382 0.0216627228 0.0536513407

0.0271565863277 0.0172706283029 0.52825364933720.0536513407 0.0002322775 0.0116357936 0.0336890177

0.0336890177 4.3168735E-05 0.0073100478 0.0277836205

0.0277836205 3.7807326E-06 0.0060295478 0.0271565863

0.000016

0.05 0.0002552351 0.0108448867 0.026464936

0.012148750623 0.0172866283029 0.54040239996020.026464936 6.0018222E-05 0.0057435585 0.0160152781

0.0160152781 1.1843288E-05 0.0034766263 0.0126087318

0.0126087318 1.2591339E-06 0.0027373597 0.0121487506

0.0000032

0.02 4.0219292E-05 0.0043412051 0.0107354545

0.0054303521407 0.0172898283029 0.54583275210090.0107354545 9.3121113E-06 0.0023307796 0.0067401771

0.0067401771 1.7324334E-06 0.0014635091 0.005556424

0.005556424 1.5210742E-07 0.0012065139 0.0054303521

0.00000064

0.009 8.1540169E-06 0.001954079 0.0048271815

0.0024285068295 0.0172904683029 0.54826125893040.0048271815 1.8899952E-06 0.0010481863 0.0030240715

0.0030240715 3.5295506E-07 0.0006566841 0.0024865907

0.0024865907 3.1363907E-08 0.0005399761 0.0024285068

0.000000128

0.004 1.6092344E-06 0.000868588 0.0021472984

0.0010860317872 0.0172905963029 0.54934729071760.0021472984 3.7265277E-07 0.000466301 0.0013481305

0.0013481305 6.9342893E-08 0.0002927619 0.0011112728

0.0011112728 6.0913443E-09 0.000241327 0.0010860318

0.0000000256

0.001 8.2982566E-08 0.0002171633 0.0006178794

0.0004855546962 0.0172906219029 0.54983284541380.0006178794 1.5854371E-08 0.000134182 0.0004997236

0.0004997236 1.5158773E-09 0.000108523 0.0004857554

0.0004857554 2.1168902E-11 0.0001054896 0.0004855547

0.00000000512

0.0008 6.4373082E-08 0.0001737315 0.000429468

0.000217204748 0.0172906270229 0.55005005016180.000429468 1.4907454E-08 9.3265993E-05 0.0002696299

0.0002696299 2.7740748E-09 5.8554779E-05 0.0002222542

0.0002222542 2.4371806E-10 4.8266383E-05 0.0002172047

0.000000001024

0.0003 8.7485408E-09 6.5150119E-05 0.0001657172

9.711459102E-05 0.0172906280469 0.55014716475280.0001657172 1.9579514E-09 3.5988437E-05 0.0001113122

0.0001113122 3.2139815E-10 2.4173454E-05 9.8016682E-05

9.8016682E-05 1.9202008E-11 2.1286103E-05 9.7114591E-05

2.048E-10

0.0001 8.8103742E-10 2.1716815E-05 5.9430634E-05

4.34284452E-05 0.0172906282517 0.5501905931985.9430634E-05 1.7872967E-10 1.2906454E-05 4.5582549E-05

4.5582549E-05 2.0801328E-11 9.8990912E-06 4.3481212E-05

4.3481212E-05 4.9825952E-13 9.4427476E-06 4.3428445E-05

4.096E-11

0.000075 5.6982886E-10 1.6287621E-05 4.0014606E-05

1.942963066E-05 0.0172906282927 0.55021002282874.0014606E-05 1.3289356E-10 8.6899109E-06 2.4721749E-05

2.4721749E-05 2.5412045E-11 5.3687866E-06 1.9988455E-05

1.9988455E-05 2.4257818E-12 4.3408645E-06 1.9429631E-05

8.192E-12

0.000035 1.2481445E-10 7.6008976E-06 1.8578986E-05

8.69216855E-06 0.0172906283009 0.55021871499731.8578986E-05 2.9298678E-11 4.0347721E-06 1.1317441E-05

1.1317441E-05 5.7209891E-12 2.4577931E-06 8.9897474E-06

8.9897474E-06 5.8096059E-13 1.9522912E-06 8.6921685E-06

1.6384E-12

0.00001509 2.3082136E-11 3.2770743E-06 8.0464808E-06

3.877922944E-06 0.0172906283025 0.55022259292028.0464808E-06 5.4009082E-12 1.7474434E-06 4.9557322E-06

4.9557322E-06 1.0208098E-12 1.0762297E-06 4.0072267E-06

4.0072267E-06 1.1252586E-13 8.702441E-07 3.8779229E-06

3.2768E-13

6.74962E-06 4.6179654E-12 1.4658059E-06 3.5991582E-06

1.754184222E-06 0.0172906283028 0.55022434710443.5991582E-06 1.0873028E-12 7.8162442E-07 2.2080773E-06

2.2080773E-06 2.1018016E-13 4.7952524E-07 1.7697685E-06

1.7697685E-06 5.9896312E-15 3.8433829E-07 1.7541842E-06

F 0.2457982744068

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

Page 15: Calculo de Infiltracion IV

ECUACIÓN DE SMITH-PARLANGE

DATOS DE INGRESO:TEXTURA DE SUELO: MIGAJON ARCILLOSO LOMOSOSIMBOLO VALOR UNIDAD

22 cm/h

0.471

0.92

S1 = 0.08Ks = 0.15 cm/hG = 72 cmF = 0.51195652

CALCULOS PREVIOS

B = 30.9631304347826 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 0.211835242014717 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.0048203544784986 h

Ec.de Newton-Raphson

0.001021121

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.01

1.25 0.1559698849 0.2637770579 0.6587056466

0.3054701124403 0.0148203544785 0.30547011244030.6587056466 0.036381245 0.1403278144 0.3994466741

0.3994466741 0.0071035373 0.0854523897 0.3163180772

0.3163180772 0.0007350545 0.0677596697 0.3054701124

0.002

0.5 0.0247694432 0.1067903291 0.2680553715

0.1364345603545 0.0168203544785 0.44190467279480.2680553715 0.0057131282 0.0574658349 0.1686375482

0.1686375482 0.0010560071 0.0362106143 0.1394746335

0.1394746335 9.1088851E-05 0.0299627171 0.1364345604

0.0004

0.25 0.0063103603 0.0536107228 0.1322929453

0.0610171372276 0.0172203544785 0.50292181002240.1322929453 0.0014814338 0.0284232006 0.0801723602

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

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

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

F= B × Ln ( 1

1 − Ks

i p )

t 1 = ( 1Ks )× (F 1− B × (1− 1

eF1B ))

f o=( F − B × ( 1− 1

eFB ))

Ks− Δ t fo ' =

( 1− 1

eFB )

Ksf final = f inicial−

fofo '

B= G× Φ× ( Smáx− S1)

Page 16: Calculo de Infiltracion IV

0.00040.0801723602 0.0002913667 0.0172395641 0.0632713116

0.0610171372276 0.0172203544785 0.5029218100224

0.0632713116 3.067711E-05 0.0136090225 0.0610171372

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.00008

0.1 0.0009953912 0.0214962461 0.0536946511

0.0272711514788 0.0173003544785 0.53019296150110.0536946511 0.0002302022 0.0115509648 0.0337653862

0.0337653862 4.2692912E-05 0.0072660551 0.0278897204

0.0278897204 3.7127902E-06 0.0060022258 0.0272711515

0.000016

0.05 0.0002529925 0.0107568012 0.026480695

0.0122003629865 0.0173163544785 0.54239332448760.026480695 5.9469043E-05 0.0056991151 0.0160459096

0.0160459096 1.1713256E-05 0.0034539461 0.012654642

0.012654642 1.2375066E-06 0.0027241114 0.012200363

0.0000032

0.02 3.9852698E-05 0.004304805 0.0107422758

0.0054536005322 0.0173195544785 0.54784692501980.0107422758 9.2215633E-06 0.0023125158 0.0067546

0.0067546 1.7113578E-06 0.0014541728 0.00557774

0.00557774 1.4907083E-07 0.0012008338 0.0054536005

0.00000064

0.009 8.0792037E-06 0.0019375064 0.0048301021

0.0024389233239 0.0173201944785 0.55028584834370.0048301021 1.8714465E-06 0.0010398871 0.003030439

0.003030439 3.4862321E-07 0.0006524512 0.0024961106

0.0024961106 3.0733313E-08 0.0005374153 0.0024389233

0.000000128

0.004 1.5944045E-06 0.0008611835 0.002148589

0.0010906949198 0.0173203224785 0.55137654326350.002148589 3.6897041E-07 0.0004625962 0.001350981

0.001350981 6.8483484E-08 0.0002908731 0.0011155399

0.0011155399 5.9673162E-09 0.0002401823 0.0010906949

0.0000000256

0.001 8.2053792E-08 0.0002153063 0.0006188974

0.000487645499 0.0173203480785 0.55186418876250.0006188974 1.5635219E-08 0.0001332533 0.0005015628

0.0005015628 1.4820914E-09 0.0001079905 0.0004878386

0.0004878386 2.0278786E-11 0.0001050356 0.0004876455

0.00000000512

0.0008 6.3778555E-08 0.0001722456 0.0004297232

0.0002181376481 0.0173203531985 0.55208232641060.0004297232 1.4759658E-08 9.2522954E-05 0.0002701989

0.0002701989 2.7395882E-09 5.8176206E-05 0.0002231077

0.0002231077 2.3874525E-10 4.8037088E-05 0.0002181376

0.000000001024

0.0003 8.6649186E-09 6.4592619E-05 0.0001658528

9.753390235E-05 0.0173203542225 0.55217986031290.0001658528 1.9372803E-09 3.5709635E-05 0.0001116019

0.0001116019 3.1682479E-10 2.4028936E-05 9.8416759E-05

9.8416759E-05 1.8707786E-11 2.1190057E-05 9.7533902E-05

2.048E-10

0.0001 8.7173437E-10 2.1530943E-05 5.9512485E-05

4.361778362E-05 0.0173203544273 0.55222347809655.9512485E-05 1.7646896E-10 1.2813607E-05 4.5740488E-05

4.5740488E-05 2.0436585E-11 9.8483668E-06 4.3665363E-05

4.3665363E-05 4.4732553E-13 9.4015729E-06 4.3617784E-05

4.096E-11

0.000075 5.6459075E-10 1.6148214E-05 4.0036953E-05

1.95188776E-05 0.0173203544683 0.55224299697414.0036953E-05 1.316125E-10 8.6203417E-06 2.4769286E-05

2.4769286E-05 2.5104531E-11 5.3330673E-06 2.0061952E-05

2.0061952E-05 2.3458262E-12 4.3195329E-06 1.9518878E-05

8.192E-12

0.000035 1.2369711E-10 7.5358379E-06 1.8585487E-05

8.739985084E-06 0.0173203544765 0.55225173695921.8585487E-05 2.8968555E-11 4.0016358E-06 1.1346309E-05

1.1346309E-05 5.6561339E-12 2.4429707E-06 9.03104E-06

9.03104E-06 5.6594773E-13 1.9444709E-06 8.7399851E-06

1.6384E-12

0.00001509 2.2869222E-11 3.2490237E-06 8.051202E-06

3.874409417E-06 0.0173203544781 0.55225561136868.051202E-06 5.3216568E-12 1.7335023E-06 4.9813146E-06

4.9813146E-06 1.0340117E-12 1.0725256E-06 4.0172242E-06

4.0172242E-06 1.2352729E-13 8.6494758E-07 3.8744094E-06

3.2768E-13

6.74962E-06 4.5991563E-12 1.453259E-06 3.5849011E-06

1.781131661E-06 0.0173203544784 0.55225739250033.5849011E-06 1.067787E-12 7.718642E-07 2.2015139E-06

2.2015139E-06 1.9567292E-13 4.7400745E-07 1.7887083E-06

1.7887083E-06 2.9179715E-15 3.8512637E-07 1.7811317E-06

F 0.24678728006

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

Page 17: Calculo de Infiltracion IV

ECUACIÓN DE SMITH-PARLANGE

DATOS DE INGRESO:TEXTURA DE SUELO: ARCILLO ARENOSO SIMBOLO VALOR UNIDAD

22 cm/h

0.43

0.75

S1 = 0.25Ks = 0.12 cm/hG = 76.8 cmF = 0.57333333

CALCULOS PREVIOS

B = 22.016 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 0.120415979312653 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.00273952570625918 h

Ec.de Newton-Raphson

0.0003298827

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.01

1.25 0.2801949573 0.4599596525 0.6408270958

0.2313431212242 0.0127395257063 0.23134312122420.6408270958 0.0669712543 0.2390649057 0.3606887201

0.3606887201 0.0144876446 0.1354129174 0.253700075

0.253700075 0.0021345855 0.0954774741 0.2313431212

0.002

0.5 0.0449579196 0.1871233424 0.2597417885

0.1031270953828 0.0147395257063 0.33447021660690.2597417885 0.0107182617 0.0977378266 0.1500783953

0.1500783953 0.0022530494 0.056613366 0.1102812671

0.1102812671 0.0002978887 0.0416384625 0.1031270954

0.0004

0.25 0.011383873 0.0940928794 0.1290145109

0.0462238227494 0.0151395257063 0.38069403935640.1290145109 0.0027439784 0.0486907985 0.072659338

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

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

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

F= B × Ln ( 1

1 − Ks

i p )

t 1 = ( 1Ks )× (F 1− B × (1− 1

eF1B ))

f o=( F − B × ( 1− 1

eFB ))

Ks− Δ t fo ' =

( 1− 1

eFB )

Ksf final = f inicial−

fofo '

B= G× Φ× ( Smáx− S1)

Page 18: Calculo de Infiltracion IV

0.00040.072659338 0.0005980575 0.0274571331 0.0508778382

0.0462238227494 0.0151395257063 0.3806940393564

0.0508778382 8.9523067E-05 0.0192356619 0.0462238227

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.00008

0.1 0.0018097008 0.0377654151 0.0520804738

0.0206145477336 0.0152195257063 0.40130858708990.0520804738 0.0004329297 0.0196898114 0.0300929774

0.0300929774 9.1310036E-05 0.0113827864 0.0220712125

0.0220712125 1.2163214E-05 0.0083500432 0.0206145477

0.000016

0.05 0.0004567828 0.0189041496 0.0258369046

0.0092430122295 0.0152355257063 0.41055159931950.0258369046 0.0001102878 0.0097738547 0.0145529421

0.0145529421 2.4073406E-05 0.00550665 0.010181245

0.010181245 3.6148581E-06 0.0038528374 0.0092430122

0.0000032

0.02 7.2479601E-05 0.0075668122 0.0104213823

0.0041224766761 0.0152387257063 0.41467407599560.0104213823 1.7350977E-05 0.0039436898 0.0060217013

0.0060217013 3.6619756E-06 0.0022789774 0.004414851

0.004414851 4.885308E-07 0.0016709087 0.0041224767

0.00000064

0.009 1.4687672E-05 0.0034059161 0.0046876004

0.0018438030338 0.0152393657063 0.41651787902940.0046876004 3.5183465E-06 0.0017741264 0.0027044572

0.0027044572 7.4418069E-07 0.0010236079 0.0019774399

0.0019774399 1.0002081E-07 0.0007484521 0.001843803

0.000000128

0.004 2.8999174E-06 0.0015139124 0.002084488

0.0008244780129 0.0152394937063 0.41734235704230.002084488 6.9430971E-07 0.0007889674 0.0012044646

0.0012044646 1.4655574E-07 0.0004558924 0.0008829946

0.0008829946 1.9557284E-08 0.0003342178 0.000824478

0.0000000256

0.001 1.6365345E-07 0.0003785039 0.0005676307

0.000367790044 0.0152395193063 0.41771014708630.0005676307 3.5378727E-08 0.0002148525 0.0004029656

0.0004029656 5.1314865E-09 0.0001525261 0.0003693223

0.0003693223 2.14191E-10 0.0001397919 0.00036779

0.00000000512

0.0008 1.1600256E-07 0.0003028045 0.0004169061

0.0001648951166 0.0152395244263 0.41787504220290.0004169061 2.7774554E-08 0.0001578027 0.0002408979

0.0002408979 5.8628335E-09 9.1182366E-05 0.0001766

0.0001766 7.824149E-10 6.6845044E-05 0.0001648951

0.000000001024

0.0003 1.6009002E-08 0.000113553 0.0001590173

7.360585414E-05 0.0152395254503 0.4179486480570.0001590173 3.7616184E-09 6.0189825E-05 9.6521408E-05

9.6521408E-05 7.3919607E-10 3.6534477E-05 7.6288572E-05

7.6288572E-05 7.7466503E-11 2.8876127E-05 7.3605854E-05

2.048E-10

0.0001 1.6877839E-09 3.7851162E-05 5.5409984E-05

3.289713907E-05 0.0152395256551 0.41798154519615.5409984E-05 3.7627448E-10 2.0973344E-05 3.746938E-05

3.746938E-05 6.0905898E-11 1.4182616E-05 3.3174974E-05

3.3174974E-05 3.4888148E-12 1.2557132E-05 3.2897139E-05

4.096E-11

0.000075 1.0236264E-09 2.8388388E-05 3.8942074E-05

1.47637031E-05 0.015239525696 0.41799630889923.8942074E-05 2.46055E-10 1.4740048E-05 2.2249117E-05

2.2249117E-05 5.2711221E-11 8.4215641E-06 1.5990039E-05

1.5990039E-05 7.4223108E-12 6.0524273E-06 1.4763703E-05

8.192E-12

0.000035 2.2366594E-10 1.3247926E-05 1.811691E-05

6.608325493E-06 0.0152395257042 0.41800291722471.811691E-05 5.3923935E-11 6.8574736E-06 1.0253382E-05

1.0253382E-05 1.1702745E-11 3.881032E-06 7.2380123E-06

7.2380123E-06 1.7251388E-12 2.7396775E-06 6.6083255E-06

1.6384E-12

0.00001509 4.1437182E-11 5.7117514E-06 7.8352757E-06

2.957015274E-06 0.0152395257058 0.418005874247.8352757E-06 9.9885249E-12 2.9657491E-06 4.4673155E-06

4.4673155E-06 2.1615125E-12 1.6909345E-06 3.1890209E-06

3.1890209E-06 2.8005034E-13 1.2070841E-06 2.9570153E-06

3.2768E-13

6.74962E-06 8.2993088E-12 2.554815E-06 3.501123E-06

1.307154357E-06 0.0152395257062 0.41800718139433.501123E-06 2.0075261E-12 1.3252187E-06 1.986259E-06

1.986259E-06 4.1076963E-13 7.5182379E-07 1.4398948E-06

1.4398948E-06 7.2345931E-14 5.4501812E-07 1.3071544E-06

F 0.1866640601702

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

Page 19: Calculo de Infiltracion IV

ECUACIÓN DE SMITH-PARLANGE

DATOS DE INGRESO:TEXTURA DE SUELO: ACILLO LIMOSOSIMBOLO VALOR UNIDAD

22 cm/h

0.479

0.88

S1 = 0.12Ks = 0.09 cm/hG = 81.2 cmF = 0.54431818

CALCULOS PREVIOS

B = 33.5909636363636 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 0.137699428868403 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.00313213501561395 h

Ec.de Newton-Raphson

0.0004312932

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.01

1.25 0.2452434998 0.4058724107 0.6457620836

0.2469701788595 0.0131321350156 0.24697017885950.6457620836 0.0585285544 0.211562956 0.3691136786

0.3691136786 0.0124510171 0.121425836 0.2665735804

0.2665735804 0.0017217152 0.087827372 0.2469701789

0.002

0.5 0.0391427099 0.1641635303 0.2615626939

0.1101932863935 0.0151321350156 0.3571634652530.2615626939 0.0092857422 0.0861828664 0.1538180503

0.1538180503 0.0019071222 0.0507631108 0.1162489942

0.1162489942 0.0002324544 0.0383859974 0.1101932864

0.0004

0.25 0.0099111786 0.0823872095 0.1297000331

0.0493556028508 0.0155321350156 0.40651906810380.1297000331 0.0023786025 0.0428190288 0.0741499052

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

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

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

F= B × Ln ( 1

1 − Ks

i p )

t 1 = ( 1Ks )× (F 1− B × (1− 1

eF1B ))

f o=( F − B × ( 1− 1

eFB ))

Ks− Δ t fo ' =

( 1− 1

eFB )

Ksf final = f inicial−

fofo '

B= G× Φ× ( Smáx− S1)

Page 20: Calculo de Infiltracion IV

0.00040.0741499052 0.0005086711 0.0245000091 0.0533878258

0.0493556028508 0.0155321350156 0.4065190681038

0.0533878258 7.1150276E-05 0.0176454221 0.0493556029

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.00008

0.1 0.001572244 0.0330284818 0.0523973284

0.0220299601413 0.0156121350156 0.42854902824510.0523973284 0.0003738345 0.0173183042 0.0308112351

0.0308112351 7.6960536E-05 0.0101869656 0.0232564304

0.0232564304 9.4315841E-06 0.0076900227 0.0220299601

0.000016

0.05 0.0003972659 0.0165265316 0.0259619305

0.0098695979446 0.0156281350156 0.43841862618970.0259619305 9.5446676E-05 0.0085842837 0.0148431605

0.0148431605 2.0432908E-05 0.0049086869 0.0106805589

0.0106805589 2.8645724E-06 0.0035323183 0.0098695979

0.0000032

0.02 6.294223E-05 0.0066135647 0.0104828587

0.0044056448513 0.0156313350156 0.4428242710410.0104828587 1.4972694E-05 0.0034669443 0.0061641581

0.0061641581 3.0838529E-06 0.0020387727 0.0046515556

0.0046515556 3.7833845E-07 0.0015385196 0.0044056449

0.00000064

0.009 1.2755264E-05 0.0029765914 0.0047148087

0.0019703869924 0.0156319750156 0.44479465803340.0047148087 3.0363163E-06 0.0015594394 0.0027677524

0.0027677524 6.2691532E-07 0.0009154703 0.002082951

0.002082951 7.7553237E-08 0.0006889703 0.001970387

0.000000128

0.004 2.5181092E-06 0.001323028 0.0020967075

0.0008811150358 0.0156321030156 0.44567577306920.0020967075 5.9906247E-07 0.0006935203 0.0012329081

0.0012329081 1.2339759E-07 0.0004078098 0.0009303219

0.0009303219 1.5142154E-08 0.0003077245 0.000881115

0.0000000256

0.001 1.3978672E-07 0.0003307718 0.0005773922

0.0003934322183 0.0156321286156 0.44606920528740.0005773922 2.9537138E-08 0.0001909862 0.0004227364

0.0004227364 3.9557766E-09 0.0001398305 0.0003944466

0.0003944466 1.3234482E-10 0.000130473 0.0003934322

0.00000000512

0.0008 1.0072778E-07 0.0002646182 0.0004193467

0.0001762225697 0.0156321337356 0.44624542785710.0004193467 2.3963678E-08 0.0001387093 0.0002465848

0.0002465848 4.9362864E-09 8.1564215E-05 0.0001860646

0.0001860646 6.0573325E-10 6.1545657E-05 0.0001762226

0.000000001024

0.0003 1.3860944E-08 9.9232564E-05 0.0001603186

7.871518332E-05 0.0156321347596 0.44632414304040.0001603186 3.2268082E-09 5.3029527E-05 9.9469319E-05

9.9469319E-05 6.1241067E-10 3.2902083E-05 8.0856192E-05

8.0856192E-05 5.7261937E-11 2.6745311E-05 7.8715183E-05

2.048E-10

0.0001 1.4490699E-09 3.307762E-05 5.6191831E-05

3.519405214E-05 0.0156321349644 0.44635933709265.6191831E-05 3.1740161E-10 1.8586932E-05 3.9115231E-05

3.9115231E-05 4.8187783E-11 1.2938399E-05 3.539083E-05

3.539083E-05 2.3035724E-12 1.1706455E-05 3.5194052E-05

4.096E-11

0.000075 8.8930589E-10 2.4808224E-05 3.9152779E-05

1.577343757E-05 0.0156321350054 0.44637511053013.9152779E-05 2.1260701E-10 1.2950819E-05 2.2736287E-05

2.2736287E-05 4.4560538E-11 7.5206312E-06 1.6811181E-05

1.6811181E-05 5.7706267E-12 5.5607454E-06 1.5773438E-05

8.192E-12

0.000035 1.9440046E-10 1.1577178E-05 1.8208303E-05

7.048555004E-06 0.0156321350136 0.44638215908511.8208303E-05 4.6649741E-11 6.0228806E-06 1.0462883E-05

1.0462883E-05 9.9561957E-12 3.4608773E-06 7.5860993E-06

7.5860993E-06 1.3488623E-12 2.5093045E-06 7.048555E-06

1.6384E-12

0.00001509 3.6072463E-11 4.9914191E-06 7.8631047E-06

3.187110028E-06 0.0156321350152 0.44638534619527.8631047E-06 8.624363E-12 2.6009314E-06 4.5472299E-06

4.5472299E-06 1.7570801E-12 1.5041176E-06 3.3790499E-06

3.3790499E-06 2.145333E-13 1.1177109E-06 3.18711E-06

3.2768E-13

6.74962E-06 7.2348027E-12 2.2326167E-06 3.5091163E-06

1.424802456E-06 0.0156321350155 0.44638677099763.5091163E-06 1.6962381E-12 1.1607338E-06 2.0477666E-06

2.0477666E-06 3.2103408E-13 6.7735342E-07 1.573813E-06

1.573813E-06 7.7571994E-14 5.2058064E-07 1.4248025E-06

F 0.1994165921381

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

Page 21: Calculo de Infiltracion IV

ECUACIÓN DE SMITH-PARLANGE

DATOS DE INGRESO:TEXTURA DE SUELO: ARCILLOSOSIMBOLO VALOR UNIDAD

22 cm/h

0.475

0.81

S1 = 0.19Ks = 0.06 cm/hG = 89 cmF = 0.58641975

CALCULOS PREVIOS

B = 32.3586419753086 cm

DETERMINACION DE LA LAMINA INFILTRADA PARA EL ENCHARCAMIENTO

F = 0.0883714030600486 cm

DETERMINACION DEL TIEMPO DE ENCHARCAMIENTO

t1 = 0.00200980281623298 h

Ec.de Newton-Raphson

0.0001776091

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.01

1.25 0.3872594738 0.6315491817 0.6368102675

0.1995556055515 0.0120098028162 0.19955560555150.6368102675 0.0937538718 0.3247895082 0.3481498599

0.3481498599 0.0211031785 0.1783570751 0.2298300315

0.2298300315 0.0035710804 0.1179569986 0.1995556056

0.002

0.5 0.0620522623 0.2555508534 0.2571823318

0.0887410720496 0.0140098028162 0.28829667760110.2571823318 0.0149887301 0.131939473 0.1435792552

0.1435792552 0.0033011459 0.0737881928 0.0988411233

0.0988411233 0.0005134007 0.0508314952 0.088741072

0.0004

0.25 0.0156542774 0.1282690149 0.1279574517

0.0399026550475 0.0144098028162 0.32819933264860.1279574517 0.0038110206 0.0657757062 0.0700178133

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

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

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal

F= B × Ln ( 1

1 − Ks

i p )

t 1 = ( 1Ks )× (F 1− B × (1− 1

eF1B ))

f o=( F − B × ( 1− 1

eFB ))

Ks− Δ t fo ' =

( 1− 1

eFB )

Ksf final = f inicial−

fofo '

B= G× Φ× ( Smáx− S1)

Page 22: Calculo de Infiltracion IV

0.00040.0700178133 0.000861631 0.036024428 0.0460998473

0.0399026550475 0.0144098028162 0.3281993326486

0.0460998473 0.0001470427 0.0237273094 0.039902655

PROCESO ITERATIVO MÉTODO DE NEWTON-RAPHSONtiempo(t1+rt)h

fo fo' F (cm)

0.00008

0.1 0.002492653 0.0514265558 0.0515298483

0.0177444054583 0.0144898028162 0.34594373810690.0515298483 0.0006034641 0.0265198731 0.0287746837

0.0287746837 0.0001331674 0.0148141182 0.0197854591

0.0197854591 2.0793429E-05 0.0101875956 0.0177444055

0.000016

0.05 0.0006274945 0.0257331437 0.0256153204

0.0079802180758 0.0145058028162 0.35392395618270.0256153204 0.0001529326 0.0131882217 0.0140191703

0.0140191703 3.4606974E-05 0.0072191583 0.0092254017

0.0092254017 5.9158221E-06 0.0047509637 0.0079802181

0.0000032

0.02 9.9790932E-05 0.0102980292 0.0103097059

0.0035487300481 0.0145090028162 0.35747268623070.0103097059 2.4170006E-05 0.0053092775 0.0057572962

0.0057572962 5.3357141E-06 0.0029650927 0.0039577862

0.0039577862 8.3380976E-07 0.0020383751 0.00354873

0.00000064

0.009 2.0218027E-05 0.0046349008 0.0046378728

0.0015874207133 0.0145096428162 0.3590601069440.0046378728 4.8991788E-06 0.0023886144 0.0025868181

0.0025868181 1.0832516E-06 0.0013323148 0.0017737583

0.0017737583 1.7023209E-07 0.000913568 0.0015874207

0.000000128

0.004 3.9923163E-06 0.0020601151 0.0020620906

0.0007097398806 0.0145097708162 0.35976984682460.0020620906 9.6705196E-07 0.0010620678 0.0011515537

0.0011515537 2.1350072E-07 0.0005931094 0.0007915851

0.0007915851 3.3369074E-08 0.0004077093 0.0007097399

0.0000000256

0.001 2.3192768E-07 0.0005150526 0.000549701

0.0003153055404 0.0145097964162 0.3600851523650.000549701 5.2217797E-08 0.0002831269 0.0003652686

0.0003652686 8.7598322E-09 0.0001881344 0.000318707

0.000318707 5.5835666E-10 0.0001641526 0.0003153055

0.00000000512

0.0008 1.5969809E-07 0.0004120434 0.0004124241

0.0001419471709 0.0145098015362 0.36022709953580.0004124241 3.8684133E-08 0.000212422 0.0002303143

0.0002303143 8.5406025E-09 0.0001186254 0.0001583179

0.0001583179 1.3349209E-09 8.1543117E-05 0.0001419472

0.000000001024

0.0003 2.2153631E-08 0.0001545175 0.000156627

6.319407167E-05 0.0145098025602 0.36029029360750.000156627 5.2937187E-09 8.0672207E-05 9.1006906E-05

9.1006906E-05 1.1089068E-09 4.6874006E-05 6.7349725E-05

6.7349725E-05 1.4415611E-10 3.4689154E-05 6.3194072E-05

2.048E-10

0.0001 2.3704852E-09 5.1505981E-05 5.3976505E-05

2.820858705E-05 0.014509802765 0.36031850219455.3976505E-05 5.4544167E-10 2.7801148E-05 3.4357111E-05

3.4357111E-05 9.9235746E-11 1.7695985E-05 2.87493E-05

2.87493E-05 8.0066684E-12 1.4807625E-05 2.8208587E-05

4.096E-11

0.000075 1.4076079E-09 3.86295E-05 3.8561323E-05

1.272284903E-05 0.014509802806 0.36033122504363.8561323E-05 3.4192808E-10 1.9861406E-05 2.1345619E-05

2.1345619E-05 7.6406946E-11 1.0994284E-05 1.4395922E-05

1.4395922E-05 1.240545E-11 7.4147704E-06 1.2722849E-05

8.192E-12

0.000035 3.0726394E-10 1.8027111E-05 1.7955453E-05

5.691910899E-06 0.0145098028142 0.36033691695451.7955453E-05 7.4761667E-11 9.248144E-06 9.8714889E-06

9.8714889E-06 1.6931424E-11 5.0844142E-06 6.541425E-06

6.541425E-06 2.8622085E-12 3.36923E-06 5.6919109E-06

1.6384E-12

0.00001509 5.7047466E-11 7.7722627E-06 7.7501211E-06

2.586513778E-06 0.0145098028158 0.36033950346827.7501211E-06 1.3834278E-11 3.9917816E-06 4.2844311E-06

4.2844311E-06 3.1411295E-12 2.2067415E-06 2.8610068E-06

2.8610068E-06 4.0449064E-13 1.4735918E-06 2.5865138E-06

3.2768E-13

6.74962E-06 1.1404816E-11 3.476463E-06 3.4690397E-06

1.166457247E-06 0.0145098028162 0.36034066992553.4690397E-06 2.8498802E-12 1.7867656E-06 1.8740458E-06

1.8740458E-06 6.0198333E-13 9.6524712E-07 1.2503886E-06

1.2503886E-06 5.4053937E-14 6.4402587E-07 1.1664572E-06

F 0.160785064374

Diferencial del tiempo Dt =

Infiltración Acumulada (cm)

finicial ffinal