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)
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
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)
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
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)
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
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)
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
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)
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
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)
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
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)
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
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)
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
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)
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
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)
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
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)
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
Recommended