Tiempo[Min] Conductividad[ μS/m] Volumen Trazador[ml]0 98.4 1.251 182.9 Volumen Reactor[mL]2 247 120003 526 Caudal[ml/min]4 725 6005 920 TRH[min]6 1.064 207 1.2558 1.3969 1.513

10 1.59411 1.64212 1.66213 1.72814 1.71715 1.69816 1.642

17 1.646

18 1.586

19 1.563

20 1.53421 1.46422 1.33723 1.43624 1.28625 1.20926 1.18227 1.12528 1.05629 1.00230 95231 88932 84733 79634 75635 71736 67437 63038 60039 566

0 10 20 30 40 50 60 700

100

200

300

400

500

600

700

800

900

1000Conductividad [μS/m] vs Tiempo [min]

40 53941 50542 48243 45444 43145 41246 38947 37048 36049 34250 32251 20952 29553 28054 27155 25956 25157 23958 23359 22460 217

Tiempo[Min] Concentracion[ μS/m] E(t)0 98.4 0 0.0057391 182.9 182.9 0.0106672 247 247 0.0144053 526 526 0.0306774 725 725 0.0422835 920 920 0.0536566 1.064 1.064 0.0000627 1.255 1.255 0.0000738 1.396 1.396 0.0000819 1.513 1.513 0.000088

10 1.594 1.594 0.00009311 1.642 1.642 0.00009612 1.662 1.662 0.00009713 1.728 1.728 0.000101

C * Δt

14 1.717 1.717 0.00010015 1.698 1.698 0.00009916 1.642 1.642 0.00009617 1.646 1.646 0.00009618 1.586 1.586 0.00009219 1.563 1.563 0.00009120 1.534 1.534 0.00008921 1.464 1.464 0.00008522 1.337 1.337 0.00007823 1.436 1.436 0.00008424 1.286 1.286 0.00007525 1.209 1.209 0.00007126 1.182 1.182 0.00006927 1.125 1.125 0.00006628 1.056 1.056 0.00006229 1.002 1.002 0.00005830 952 952 0.05552231 889 889 0.05184832 847 847 0.04939933 796 796 0.04642434 756 756 0.04409135 717 717 0.04181736 674 674 0.03930937 630 630 0.03674338 600 600 0.03499339 566 566 0.03301040 539 539 0.03143541 505 505 0.02945342 482 482 0.02811143 454 454 0.02647844 431 431 0.02513745 412 412 0.02402946 389 389 0.02268747 370 370 0.02157948 360 360 0.02099649 342 342 0.01994650 322 322 0.01878051 209 209 0.01218952 295 295 0.01720553 280 280 0.01633054 271 271 0.01580555 259 259 0.01510556 251 251 0.01463957 239 239 0.01393958 233 233 0.013589

59 224 224 0.01306460 217 217 0.012656

∑ C * Δt17146.237

Interpolando t10F(t) Tiempo[Min]

11.40 1010 10.47

8.43 11

0 10 20 30 40 50 60 700

100

200

300

400

500

600

700

800

900

1000Conductividad [μS/m] vs Tiempo [min]

E(t)*Δt t*E(t)*Δt C-Co ∑C-Co F(t)0.000000 0.0000 -85 -84.50 -1.390.010667 0.0107 0 -84.5 -1.390.014405 0.0288 64 -20.4 -0.340.030677 0.0920 343 322.7 5.300.042283 0.1691 542 864.8 14.210.053656 0.2683 737 1601.9 26.310.000062 0.0004 -182 1420.1 23.330.000073 0.0005 -182 1238.4 20.340.000081 0.0007 -182 1056.9 17.360.000088 0.0008 -181 875.5 14.380.000093 0.0009 -181 694.2 11.400.000096 0.0011 -181 513.0 8.430.000097 0.0012 -181 331.7 5.450.000101 0.0013 -181 150.6 2.47

0.000100 0.0014 -181 -30.6 -0.500.000099 0.0015 -181 -211.8 -3.480.000096 0.0015 -181 -393.1 -6.460.000096 0.0016 -181 -574.3 -9.430.000092 0.0017 -181 -755.7 -12.410.000091 0.0017 -181 -937.0 -15.390.000089 0.0018 -181 -1118.4 -18.370.000085 0.0018 -181 -1299.8 -21.350.000078 0.0017 -182 -1481.4 -24.330.000084 0.0019 -181 -1662.8 -27.310.000075 0.0018 -182 -1844.4 -30.300.000071 0.0018 -182 -2026.1 -33.280.000069 0.0018 -182 -2207.8 -36.270.000066 0.0018 -182 -2389.6 -39.250.000062 0.0017 -182 -2571.5 -42.240.000058 0.0017 -182 -2753.4 -45.230.055522 1.6657 769 -1984.3 -32.590.051848 1.6073 706 -1278.2 -21.000.049399 1.5808 664 -614.1 -10.090.046424 1.5320 613 -1.0 -0.020.044091 1.4991 573 572.1 9.400.041817 1.4636 534 1106.2 18.170.039309 1.4151 491 1597.3 26.240.036743 1.3595 447 2044.4 33.580.034993 1.3297 417 2461.5 40.430.033010 1.2874 383 2844.6 46.730.031435 1.2574 356 3200.7 52.580.029453 1.2076 322 3522.8 57.870.028111 1.1807 299 3821.9 62.780.026478 1.1386 271 4093.0 67.230.025137 1.1060 248 4341.1 71.310.024029 1.0813 229 4570.2 75.070.022687 1.0436 206 4776.3 78.460.021579 1.0142 187 4963.4 81.530.020996 1.0078 177 5140.5 84.440.019946 0.9774 159 5299.6 87.050.018780 0.9390 139 5438.7 89.340.012189 0.6217 26 5464.8 89.770.017205 0.8947 112 5576.9 91.610.016330 0.8655 97 5674.0 93.200.015805 0.8535 88 5762.1 94.650.015105 0.8308 76 5838.2 95.900.014639 0.8198 68 5906.3 97.020.013939 0.7945 56 5962.4 97.940.013589 0.7882 50 6012.5 98.76

0.013064 0.7708 41 6053.6 99.440.012656 0.7594 34 6087.7 100.00∑ E(t)*Δt ∑ t*E(t)*Δt ∑m C-Co1.000000 35.30 6087.74

cp Cp/2952 476

Interpolando t50 Interpolando CP/2 para hallar tcF(t) Tiempo[Min] Condcutividad[ μS/m] Tiempo[Min]

46.727 39 482 4250 39.55 476 42.2

52.577 40 454 43

Interpolando t90 Interpolando CP/10 para hallar tbF(t) Tiempo[Min] Conductividad[ μS/m] Tiempo[Min]

89.77 51.00 1.469 1790.00 51.13 95.2 280.2991.61 52.00 1.825 18

1-F(t) Log(1-F(t)) t/to THR[min] t/to101.39 2.01 0.00 35.3 0.00

101.4 2.01 0.05 0.05100.3 2.00 0.10 0.10

94.7 1.98 0.15 0.1585.8 1.93 0.20 0.2073.7 1.87 0.25 0.2576.7 1.88 0.30 0.3079.7 1.90 0.35 0.3582.6 1.92 0.40 0.4085.6 1.93 0.45 0.4588.6 1.95 0.50 0.5091.6 1.96 0.55 0.5594.6 1.98 0.60 0.6097.5 1.99 0.65 0.65

100.5 2.00 0.70 0.70103.5 2.01 0.75 0.75106.5 2.03 0.80 0.80109.4 2.04 0.85 0.85112.4 2.05 0.90 0.90115.4 2.06 0.95 0.95118.4 2.07 1.00 1.00121.4 2.08 1.05 1.05124.3 2.09 1.10 1.10127.3 2.10 1.15 1.15130.3 2.11 1.20 1.20133.3 2.12 1.25 1.25136.3 2.13 1.30 1.30139.3 2.14 1.35 1.35142.2 2.15 1.40 1.40145.2 2.16 1.45 1.45132.6 2.12 1.50 1.50121.0 2.08 1.55 1.55110.1 2.04 1.60 1.60100.0 2.00 1.65 1.65

90.6 1.96 1.70 1.7081.8 1.91 1.75 1.7573.8 1.87 1.80 1.8066.4 1.82 1.85 1.8559.6 1.77 1.90 1.9053.3 1.73 1.95 1.9547.4 1.68 2.00 2.0042.1 1.62 2.05 2.0537.2 1.57 2.10 2.1032.8 1.52 2.15 2.1528.7 1.46 2.20 2.2024.9 1.40 2.25 2.2521.5 1.33 2.30 2.3018.5 1.27 2.35 2.3515.6 1.19 2.40 2.4012.9 1.11 2.45 2.4510.7 1.03 2.50 2.5010.2 1.01 2.55 2.55

8.4 0.92 2.60 2.606.8 0.83 2.65 2.655.3 0.73 2.70 2.704.1 0.61 2.75 2.753.0 0.47 2.80 2.802.1 0.31 2.85 2.851.2 0.09 2.90 2.90

0.6 -0.25 2.95 2.950.0 -4.31 3.00 3.00

t/to Log(1-F(t))0.016 20.032 20.048 20.064 2

0.08 20.096 20.112 20.128 1.999216347363640.144 1.99804040757701

0.16 1.99568335011190.176 1.992917924253850.192 1.989333102224640.208 1.9849130964750.224 1.98004023986358

0.24 1.973873584934310.256 1.967193764033260.272 1.960409594711330.288 1.951781248163860.304 1.94297799713815

0.32 1.933539181394190.336 1.922956742859870.352 1.911633121476290.368 1.899515978492940.384 1.88654582271905

0.4 1.871086114062830.416 1.854505731699310.432 1.837267135557250.448 1.818725359086920.464 1.79935651773225

0.48 1.778435467377090.496 1.757817318956030.512 1.736171323348

0.528 1.713389599404940.544 1.689346336158750.576 1.663893585349340.608 1.63685574243945

0.64 1.606098045375340.672 1.576117023249870.704 1.542785194320010.736 1.505466977616020.768 1.46597144449683

0.8 1.418084540587860.832 1.369274547293450.864 1.316180964822140.896 1.257835865395870.928 1.19541099400707

0.96 1.119536186843651.04 1.038364089403771.12 0.956080554501389

1.2 0.8652258686173711.28 0.7710662106859531.36 0.66707794391261.44 0.5524656416375111.52 0.426504217037428

1.6 0.2697964561884241.68 0.09087590711388151.76 -0.1059259137059711.84 -0.3726234148599641.92 -0.8122140798780022.08 -1.197564961241942.24 -2.2187542603114

2.42.562.722.883.04

3.2

ParámetrosCp/10 (perez-Carrion, 1992)

95.2

Parámetros

Criterio

E: excentricidad IM: Índice de Morril

tp= Tiempo correspondiente a la máxima concentraciónti= Tiempo inicial desde que se aplica el trazador hasta que aparece en el efluente. tc= Tiempo correspondiente al paso Cp/2to= Tiempo de retención teóricotb= Tiempo correspondiente al paso de Cp/10tm=t50 T90=Tiempo correspondiente al paso del 90% del trazadorT10=Tiempo correspondiente al paso del 10% al paso del trazadorTf= Tiempo que transcurre hasta que atraviesa la totalidad del trazador

Cp=Concentración máxima del trazador registrada a la salida del reactorCo= Concentración inicial del trazador registrada a la salida del reactor

Ti/t0

Tm/t0

Tp/t0

Tc/to

Tb/to

(1-F(t))101.39101.39100.34

94.7085.7973.6976.6779.6682.6485.6288.6091.5794.5597.53

100.50103.48106.46109.43112.41115.39118.37121.35124.33127.31130.30133.28136.27139.25142.24145.23132.59121.00110.09100.02

90.6081.8373.7666.4259.5753.2747.4242.1337.2232.7728.6924.9321.5418.4715.5612.9510.6610.23

8.396.805.354.102.982.061.24

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.500.00

0.00

0.00

0.01

0.10

1.00

10.00

100.00

1000.00Modelo de Wolf Resnick𝑇1/𝑇0=1,7 𝑇2/𝑇0=2,5

0.560.00

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.500.00

0.00

0.00

0.01

0.10

1.00

10.00

100.00

1000.00Modelo de Wolf Resnick

0 0.5 1 1.5 2 2.5 3 3.5

-2.5

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

2.5f(x) = − 1.46773869381544 x + 2.38991809215894

Log(1-F(t))

𝑇1/𝑇0=1,4

VALOR(MINUTOS)

1.00 Dato Valor0.00 1.142.20 0.714320.00 P 64.36%

M 35.64%39.55 p 0.643651.13 m 0.356410.47

Valor [ μS/m]952

182.9

Número (Valor) Análisis

0

1.9775

0.052.110-0.14.88299904489

El valor obtenido es menor a 0,3 significa que existe paso directo del trazador entre la entrada y la salida cortocircuito hidráulico.

existen cortocircuitos hidráulicos

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.500.00

0.00

0.00

0.01

0.10

1.00

10.00

100.00

1000.00Modelo de Wolf Resnick

𝑇2/𝑇0=1,85

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.500.00

0.00

0.00

0.01

0.10

1.00

10.00

100.00

1000.00Modelo de Wolf Resnick

0 0.5 1 1.5 2 2.5 3 3.5

-2.5

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

2.5f(x) = − 1.46773869381544 x + 2.38991809215894

Log(1-F(t))

Criterio Número (Valor) Análisis

Ti/t0 0

Tm/t0 1.9561

Tp/t0 0.0500

Tc/to 0.8305

Tb/to 0 No indica mezcla completa

E: excentricidad -0.1

IM: Índice de Morril 3.1891No indica mezcla completa

El valor es menor a 0,3 lo que indica que exite paso directo del trazador (Cortos Circuitos)

La relación es mayor que la unidad , puede indicar que exitieron errores experimentales o que existen zonas donde el trazador ha quedado retenido por un cierto tiempo (espacios muertos), para luego salir lentamente.

La relación se aproxima a 0 , lo cual indica que existe predominio de flujo mezclado

Si la relacion es igual a 0,693 es un flujo mezcla completa , en este caso el valor esta por debajo , lo cual no indica si es mezcla completa.

cuando el valor de la ecentrecidad es igual a 0 , indica predominio flujo a piston

Criterio Número (Valor)

Ti/t0 0

Tm/t0 1.9775

Tp/t0 0.05

Tc/to 2.11

Tb/to

E: excentricidad -0.1

IM: Índice de Morril 4.88299904489016

Análisis

No indica flujo mezcla completa

El valor esta por encima de 4,43 que indica flujo mezclado

El valor es menor a 0,3 lo que indica que exite paso directo del trazador (Cortos Circuitos)

La relación es mayor que la unidad , puede indicar que exitieron errores experimentales o que existen zonas donde el trazador ha quedado retenido por un cierto tiempo (espacios muertos), para luego salir lentamente.

La relación se aproxima a 0 , lo cual indica que existe predominio de flujo mezclado

cuando el valor de la ecentrecidad es igual a 0 , indica predominio flujo a piston

t/to (1-F(t))0.016 1000.032 1000.048 1000.064 100

0.08 1000.096 1000.112 1000.128 99.819720.144 99.5498036

0.16 99.01097790.176 98.38251590.192 97.57377380.208 96.58575890.224 95.5081076

0.24 94.1615470.256 92.72434280.272 91.28713870.288 89.49138890.304 87.695639

0.32 85.81025280.336 83.74458660.352 81.58928390.368 79.34434480.384 77.0097694

0.4 74.31664820.416 71.53288350.432 68.74911870.448 65.87571760.464 63.0023164

0.48 60.03927890.496 57.25551420.512 54.47174940.528 51.68798470.544 48.904220.576 46.12045520.608 43.3366905

0.64 40.37365290.672 37.68053180.704 34.8967670.736 32.02336590.768 29.2396012

0.8 26.18692720.832 23.40316250.864 20.71004130.896 18.1065566

0.928 15.68234460.96 13.16849631.04 10.92355731.12 9.03817101

1.2 7.332057611.28 5.902910671.36 4.64598651.44 3.568335181.52 2.66995669

1.6 1.861214621.68 1.232752541.76 0.78356331.84 0.424010471.92 0.154094072.08 0.06345052.24 0.0060429

2.4 02.56 02.72 02.88 03.04 0

3.2 0

0 0.5 1 1.5 2 2.5 3 3.51

10

100

(1-F(t))

T Ci E(t) E(t)*Δt t*E(t)*Δt C-co1 0 0 0 0 0 02 0 0 0 0 0 04 0 0 0 0 0 08 0 0 0 0 0 0

10 0 0 0 0 0 012 0 0 0 0 0 014 0 0 0 0 0 016 0 0 0 0 0 018 0 0 0 0 0 020 0 0 0 0 0 022 0 0 0 0 0 024 0 0 0 0 0 026 0 0 0 0 0 028 1.47 41.16 4.52888E-05 9.05776E-05 0.00507235 030 2.054 61.62 6.3281082E-05 0.00012656 0.00759373 0.58432 1.667 53.344 5.1358112E-05 0.00010272 0.00657384 0.19734 1.958 66.572 6.0323446E-05 0.00012065 0.00820399 0.48836 2.15 77.4 6.6238717E-05 0.00013248 0.00953838 0.6838 2.054 78.052 6.3281082E-05 0.00012656 0.00961872 0.58440 2.248 89.92 6.925797E-05 0.00013852 0.01108128 0.77842 2.539 106.638 7.8223304E-05 0.00015645 0.01314152 1.06944 3.315 145.86 0.00010213086 0.00020426 0.01797503 1.84546 4 184 0.00012323482 0.00024647 0.02267521 2.5348 4.478 214.944 0.00013796138 0.00027592 0.02648859 3.00850 5.351 267.55 0.00016485738 0.00032971 0.03297148 3.88152 6.127 318.604 0.00018876494 0.00037753 0.03926311 4.65754 6.32 341.28 0.00019471102 0.00038942 0.04205758 4.8556 7.096 397.376 0.00021861858 0.00043724 0.04897056 5.62658 7.096 411.568 0.00021861858 0.00043724 0.05071951 5.62660 8.163 489.78 0.00025149146 0.00050298 0.06035795 6.69365 9.52 618.8 0.00029329888 0.00146649 0.47661068 8.0570 11.27 788.9 0.00034721411 0.00173607 0.6076247 9.875 12.53 939.75 0.00038603308 0.00193017 0.72381203 11.0680 13.3 1064 0.00040975579 0.00204878 0.81951157 11.8385 15.05 1279.25 0.00046367102 0.00231836 0.98530092 13.5890 16.31 1467.9 0.00050248999 0.00251245 1.13060248 14.8495 17.08 1622.6 0.00052621269 0.00263106 1.24975515 15.61

100 18.05 1805 0.00055609714 0.00278049 1.39024285 16.58105 17.86 1875.3 0.00055024348 0.00275122 1.44438915 16.39110 16.31 1794.1 0.00050248999 0.00251245 1.38184747 14.84115 16.02 1842.3 0.00049355547 0.00246778 1.41897196 14.55120 14.08 1689.6 0.00043378658 0.00216893 1.30135973 12.61130 13.69 1779.7 0.00042177118 0.00421771 5.48302536 12.22140 10.49 1468.6 0.00032318332 0.00323183 4.52456652 9.02150 9.035 1355.25 0.00027835666 0.00278357 4.17534984 7.565160 7.969 1275.04 0.00024551458 0.00245515 3.92823322 6.499

C * Δt

170 5.351 909.67 0.00016485738 0.00164857 2.80257553 3.881180 5.642 1015.56 0.00017382272 0.00173823 3.12880892 4.172190 5.274 1002.06 0.00016248511 0.00162485 3.08721717 3.804200 4.769 953.8 0.00014692672 0.00146927 2.93853435 3.299210 4.098 860.58 0.00012625408 0.00126254 2.6513356 2.628220 4.284 942.48 0.0001319845 0.00131984 2.9036589 2.814230 3.315 762.45 0.00010213086 0.00102131 2.34900977 1.845

32458.358 0.0542924 51.3146467 260.583

suma C-co F(t) 1-f(t) log(1-f(t)) t/to t/to0 0 100 2 0.01769912 0.017699120 0 100 2 0.03539823 0.035398230 0 100 2 0.07079646 0.070796460 0 100 2 0.14159292 0.141592920 0 100 2 0.17699115 0.176991150 0 100 2 0.21238938 0.212389380 0 100 2 0.24778761 0.247787610 0 100 2 0.28318584 0.283185840 0 100 2 0.31858407 0.318584070 0 100 2 0.3539823 0.35398230 0 100 2 0.38938053 0.389380530 0 100 2 0.42477876 0.424778760 0 100 2 0.46017699 0.460176990 0 100 2 0.49557522 0.49557522

0.584 0.22411285 99.7758871 1.9990256 0.53097345 0.530973450.781 0.29971257 99.7002874 1.99869641 0.56637168 0.566371681.269 0.48698495 99.513015 1.99787988 0.60176991 0.601769911.949 0.74793828 99.2520617 1.99673954 0.63716814 0.637168142.533 0.97205113 99.0279489 1.99575778 0.67256637 0.672566373.311 1.27061243 98.7293876 1.99444644 0.7079646 0.7079646

4.38 1.68084641 98.3191536 1.99263813 0.74336283 0.743362836.225 2.38887418 97.6111258 1.98949932 0.77876106 0.778761068.755 3.35977405 96.640226 1.98515794 0.81415929 0.81415929

11.763 4.51410875 95.4858913 1.97993921 0.84955752 0.8495575215.644 6.00346147 93.9965385 1.97311186 0.88495575 0.8849557520.301 7.79060798 92.209392 1.96477516 0.92035398 0.9203539825.151 9.65181919 90.3481808 1.95591941 0.95575221 0.9557522130.777 11.8108242 88.1891758 1.94541528 0.99115044 0.9911504436.403 13.9698292 86.0301708 1.93465079 1.02654867 1.0265486743.096 16.5383007 83.4616993 1.92148722 1.0619469 1.061946951.146 19.6275275 80.3724725 1.90510733 1.15044248 1.1504424860.946 23.3883254 76.6116746 1.88429496 1.23893805 1.2389380572.006 27.6326545 72.3673455 1.85954264 1.32743363 1.3274336383.836 32.1724748 67.8275252 1.83140597 1.4159292 1.415929297.416 37.3838662 62.6161338 1.79668625 1.50442478 1.50442478

112.256 43.0787887 56.9212113 1.75527413 1.59292035 1.59292035127.866 49.0692025 50.9307975 1.70698048 1.68141593 1.68141593144.446 55.4318586 44.5681414 1.64902452 1.7699115 1.7699115160.836 61.7216012 38.2783988 1.58295376 1.85840708 1.85840708175.676 67.4165237 32.5834763 1.51299742 1.94690265 1.94690265190.226 73.0001573 26.9998427 1.43136123 2.03539823 2.03539823202.836 77.8393065 22.1606935 1.34558335 2.12389381 2.12389381215.056 82.5287912 17.4712088 1.24232295 2.30088496 2.30088496224.076 85.9902603 14.0097397 1.14643007 2.47787611 2.47787611231.641 88.893366 11.106634 1.04558246 2.65486726 2.65486726

238.14 91.387389 8.61261095 0.93513483 2.83185841 2.83185841

242.021 92.8767418 7.12325823 0.85267869 3.00884956 3.00884956246.193 94.4777672 5.52223284 0.74211471 3.18584071 3.18584071249.997 95.9375708 4.06242925 0.60878581 3.36283186 3.36283186253.296 97.2035781 2.79642187 0.44660269 3.53982301 3.53982301255.924 98.212086 1.78791402 0.25234663 3.71681416 3.71681416258.738 99.2919722 0.70802777 -0.14994971 3.89380531 3.89380531260.583 100 0 4.07079646 4.07079646

log(1-f(t))22222222222222

1.99902561.998696411.997879881.996739541.995757781.994446441.992638131.989499321.985157941.979939211.973111861.964775161.955919411.945415281.934650791.921487221.905107331.884294961.859542641.831405971.796686251.755274131.706980481.649024521.582953761.512997421.431361231.345583351.242322951.146430071.045582460.93513483

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5

-0.5

0

0.5

1

1.5

2

2.5

Chart Title

0.852678690.742114710.608785810.446602690.25234663

-0.14994971

56.5

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5

-0.5

0

0.5

1

1.5

2

2.5

Chart Title

t c t/t0 C-C0 suma c-co f(t) 1-f(t)0 7.22 0 0 0 0.00 1003 50.54 0.18 43.32 43.32 16.74 83.25667686 46.21 0.35 38.99 82.31 31.81 68.1869139 38.52 0.53 31.3 113.61 43.91 56.0893596

12 33.7 0.71 26.48 140.09 54.15 45.854752115 27.93 0.88 20.71 160.8 62.15 37.850268618 23.11 1.06 15.89 176.69 68.29 31.708731121 20.22 1.24 13 189.69 73.32 26.684188124 19.2 1.41 11.98 201.67 77.95 22.053878627 17.33 1.59 10.11 211.78 81.85 18.146330230 16.56 1.76 9.34 221.12 85.46 14.536389333 16.37 1.94 9.15 230.27 89.00 10.99988436 14.47 2.12 7.25 237.52 91.80 8.1977350939 12.52 2.29 5.3 242.82 93.85 6.1492675842 12.52 2.47 5.3 248.12 95.90 4.1008000645 11.56 2.65 4.34 252.46 97.58 2.4233757248 9.63 2.82 2.41 254.87 98.51 1.4919027651 9.63 3.00 2.41 257.28 99.44 0.5604297954 8.67 3.18 1.45 258.73 100.00 057 7.22 3.35 0 258.73 100.00 060 7.22 3.53 0 258.730 100.00 0

258.73

1-f(t)0 100

0.18 83.25667680.35 68.1869130.53 56.08935960.70 45.85475210.88 37.85026861.00 31.70873111.23 26.68418811.41 22.05387861.59 18.14633021.76 14.53638931.94 10.9998842.12 8.197735092.29 6.149267582.47 4.232.65 2.662.82 1.631902763.00 0.73.18 03.35 03.53 0

0 20.18 1.920419070.35 1.833701030.53 1.748880480.70 1.661384350.88 1.578068971.00 1.501178861.23 1.426253991.41 1.343484981.59 1.258788811.76 1.162456541.94 1.041388112.12 0.913693882.29 0.788823392.47 0.626340372.65 0.424881642.82 0.212694283.00 -0.154901963.183.353.53

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.000

100

200

300

400

500

600

700

800

900

1000

R² = 0.853229756728693

Chart Title

0 0.5 1 1.5 2 2.5 3 3.5 4

-0.5

0

0.5

1

1.5

2

2.5

Chart Title

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.000

100

200

300

400

500

600

700

800

900

1000

R² = 0.853229756728693

Chart Title

0 0.5 1 1.5 2 2.5 3 3.5 4

-0.5

0

0.5

1

1.5

2

2.5

Chart Title