Métodos de la presión de poro y de fractura

160  Descargar (0)

Texto completo

(1)

2011-1

2011-1

UN

UNIV

IVER

ERSI

SIDA

DAD N

D NA

ACI

CION

ONA

AL A

L AUT

UT NO

NOMA

MA DE

DE M

M XI

XICO

CO

FAC

FACULTA

ULTAD DE ING

D DE INGENIER

ENIER A

A

DIV

DIVISI

ISI N D

N DE CI

E CIENC

ENCIA

IAS D

S DE L

E LA

A TIE

TIERRA

RRA

INGENIERÍA DE PERFORACIÓN DE POZOS

INGENIERÍA DE PERFORACIÓN DE POZOS

MÉTODOS PARA EL CÁLCULO DE GEOPRESIONES

QUE PRESENTAN:

QUE PRESENTAN:

4 DE NOVIEMBRE DE 2010

4 DE NOVIEMBRE DE 2010

ALAVEZ BARRITA LUIS URIEL

ALAVEZ BARRITA LUIS URIEL

CUEVAS RIVERO DIANA

CUEVAS RIVERO DIANA

PROFESOR:

PROFESOR:

ING. ALEJANDRO CORTÉS CORTÉS

ING. ALEJANDRO CORTÉS CORTÉS

SEMESTRE

SEMESTRE

(2)

P

PR

RO

OF

FU

UN

ND

DIID

DA

AD

D

P

PR

RO

OF

FU

UN

ND

DIID

DA

AD

D

L

LIIT

TO

OD

DE

EN

NS

SIID

DA

AD

D

P

PO

OR

RO

OS

SIID

DA

AD

D

m

m

fftt

g

gcccc

60.96 200 1.975 0.451 152.40 500 1.992 0.447 304.80 1000 2.013 0.441 457.20 1500 2.029 0.434 609.60 2000 2.044 0.428 762.00 2500 2.057 0.422 914.40 3000 2.069 0.416 1066.75 3500 1.920 0.410 1219.14 4000 2.070 0.380 1371.53 4500 2.123 0.363 1523.93 5000 2.115 0.360 1676.32 5500 2.123 0.390 1828.71 6000 2.133 0.405 1981.10 6500 2.081 0.400 2133.50 7000 2.000 0.395 2285.89 7500 2.065 0.390 2438.28 8000 2.183 0.373 2499.24 8200 2.188 0.368 2560.20 8400 2.192 0.366 2621.15 8600 2.113 0.370 2682.11 8800 2.091 0.380 2743.07 9000 2.200 0.380 2804.02 9200 2.164 0.440 2864.98 9400 2.121 0.430 2925.94 9600 2.178 0.450 2986.89 9800 2.162 0.430 3047.85 10000 2.159 0.380 3078.33 10100 2.230 0.370 3108.81 10200 2.171 0.410 3139.29 10300 2.200 0.450 3169.77 10400 2.212 0.403 3200.24 10500 2.220 0.380 3230.72 10600 2.220 0.410 3261.20 10700 2.240 0.400 3291.68 10800 2.250 0.390 3322.16 10900 2.330 0.350 3352.64 11000 2.309 0.370 3383.11 11100 2.400 0.360 3413.59 11200 2.410 0.350 3444.07 11300 2.410 0.340 3474.55 11400 2.390 0.350 3505.03 11500 2.410 0.330 3535.51 11600 2.408 0.325 3565.99 11700 2.380 0.370 3596.46 11800 2.400 0.330 3626.94 11900 2.420 0.350 3657.42 12000 2.450 0.300 3687.90 12100 2.390 0.450 3718.38 12200 2.400 0.320

(3)

3748.86 12300 2.330 0.360 3779.34 12400 2.460 0.260 3809.81 12500 2.500 0.400 3840.29 12600 2.350 0.340 3870.77 12700 2.420 0.310 3901.25 12800 2.320 0.340 3931.73 12900 2.230 0.340 3962.21 13000 2.560 0.170 3992.69 13100 2.600 0.140 4023.16 13200 2.260 0.320 4053.64 13300 2.500 0.130 4084.12 13400 2.450 0.180 4114.60 13500 2.410 0.200 4145.08 13600 2.450 0.160 4175.56 13700 2.500 0.140 4206.03 13800 2.590 0.110 4236.51 13900 2.660 0.090 4266.99 14000 2.500 0.200 4297.47 14100 2.580 0.180 4327.95 14200 2.520 0.160 4358.43 14300 2.400 0.300 4388.91 14400 2.500 0.200 4419.38 14500 2.300 0.270

(4)

TIEMPO DE TRANSITO

TIEMPO DE TRANSITO

μs / ft μs / ft 187 184 179 174 169 164 160 156 152 148 143 150 156 157 149 146 140 135 125 117 116 114 113 111 110 110 108 111 115 120 120 120 120 121 122 123 124 125 126 125 125 130 129 120 128 125 123 122 123

(5)

124 122 121 120 120 119 115 120 122 122 125 125 128 131 122 121 118 120 114 120 123 124 121

(6)

RO

ROFU

FUND

NDID

IDA

A TIE

TIEMPO

MPO DE

DE TRA

TRANS

NSITO

ITO TIE

TIEMPO

MPO DE

DE TRA

TRANS

NSITO

ITO No

Norm

rmal

al

ft

ft

fftt/ / s s fftt/ / s s 200 187 187 500 184 184 1000 179 179 1500 174 174 2000 169 169 2500 164 164 3000 160 160 3500 156 155 4000 152 151 4500 148 147 5000 143 143 5500 150 139 6000 156 135 6500 157 132 7000 149 128 7500 146 124 8000 140 121 8200 135 120 8400 125 118 8600 117 117 8800 116 116 9000 114 114 9200 113 113 9400 111 112 9600 110 111 9800 110 109 y=-41327.27092 log(x) + 94 10000 108 108 x= 10^((y-94072.47743)/-41 10100 111 108 10200 115 107 10300 120 106 10400 120 106 10500 120 105 10600 120 105 10700 121 104 10800 122 104 10900 123 103 11000 124 102 11100 125 102 11200 126 101 11300 125 101 11400 125 100 11500 130 100 11600 129 99 11700 120 98 11800 128 98 11900 125 97 12000 123 97 12100 122 96 12200 123 96 12300 124 95 12400 122 95 12500 121 94 12600 120 94 0 2000 4000 6000 8000 10000 12000 14000 16000 10 P r o f u n d i d a d [ f t ]

(7)

12700 120 93 12800 119 93 12900 115 92 13000 120 92 13100 122 91 13200 122 91 13300 125 90 13400 125 90 13500 128 89 13600 131 89 13700 122 88 13800 121 88 13900 118 87 14000 120 87 14100 114 86 14200 120 86 14300 123 85 14400 124 85 14500 121 84

(8)

72.47742 27.27092)

100 1000

s/ft s/ft

Tiempo de tránsito normal.

Tiempo de tránsito normal.

Tiempo de transito tiempo de transito normalizado

(9)

TI

TIEM

EMPO

PO DE

DE TR

TRAN

ANSI

SITO

TO

PR

PROF

OFUND

UNDID

IDAD

AD

TI

TIEM

EMPO

PO DE

DE TR

TRAN

ANSI

SITO

TO No

Norm

rmal

al PR

PROF

OFUND

UNDID

IDA

AD

D

s / ft s / ft

ft

ft

s / fts / ft

m

m

187 200 187 60.96 184 500 184 152.40 179 1000 179 304.80 174 1500 174 457.20 169 2000 169 609.60 164 2500 164 762.00 160 3000 160 914.40 156 3500 155 1066.75 152 4000 151 1219.14 148 4500 147 1371.53 143 5000 143 1523.93 150 5500 139 1676.32 156 6000 135 1828.71 157 6500 132 1981.10 149 7000 128 2133.50 146 7500 124 2285.89 140 8000 121 2438.28 135 8200 120 2499.24 125 8400 118 2560.20 117 8600 117 2621.15 116 8800 116 2682.11 114 9000 114 2743.07 113 9200 113 2804.02 111 9400 112 2864.98 110 9600 111 2925.94 110 9800 109 2986.89 108 10000 108 3047.85 111 10100 108 3078.33 115 10200 107 3108.81 120 10300 106 3139.29 120 10400 106 3169.77 120 10500 105 3200.24 120 10600 105 3230.72 121 10700 104 3261.20 122 10800 104 3291.68 123 10900 103 3322.16 124 11000 102 3352.64 125 11100 102 3383.11 126 11200 101 3413.59 125 11300 101 3444.07 125 11400 100 3474.55 130 11500 100 3505.03 129 11600 99 3535.51 120 11700 98 3565.99 128 11800 98 3596.46 125 11900 97 3626.94 123 12000 97 3657.42 122 12100 96 3687.90 123 12200 96 3718.38 124 12300 95 3748.86 122 12400 95 3779.34 121 12500 94 3809.81 120 12600 94 3840.29 120 12700 93 3870.77 119 12800 93 3901.25 115 12900 92 3931.73 120 13000 92 3962.21

(10)

122 13100 91 3992.69 122 13200 91 4023.16 125 13300 90 4053.64 125 13400 90 4084.12 128 13500 89 4114.60 131 13600 89 4145.08 122 13700 88 4175.56 121 13800 88 4206.03 118 13900 87 4236.51 120 14000 87 4266.99 114 14100 86 4297.47 120 14200 86 4327.95 123 14300 85 4358.43 124 14400 85 4388.91 121 14500 84 4419.38

(11)

LI

LITO

TODE

DENS

NSID

IDA

AD

D

S

So

obr

brec

ecar

arg

gaa

S

So

obr

breeca

carg

rga

a ac

acum

umu

ula

lad

daa

S

Sob

obre

reca

carg

rga

a Gr

Grad

adie

ien

nte

te P

Pre

ressio

ion

n de

de po

poro

ro

g

gcccc

kkg

g//ccm

m22

kkg

g//ccm

m22

g

gcccc

g

gcccc

1.975 12.04027889 12.04027889 1.975111366 1.073590699 1.992 18.21465229 30.25493118 1.985231705 1.073576008 2.013 30.67121341 60.92614458 1.998889258 1.07354857 2.029 30.92495464 91.85109923 2.008991672 1.073518099 2.044 31.1463293 122.9974285 2.017674353 1.073486108 2.057 31.34637969 154.3438082 2.025509294 1.073453037 2.069 31.5309291 185.8747373 2.032750846 1.073419095 1.920 29.250805 215.1255423 2.016648298 1.082943604 2.070 31.54526059 246.6708029 2.023317261 1.088309138 2.123 32.35294118 279.0237441 2.034393121 1.091857553 2.115 32.23102713 311.2547712 2.042453809 1.073272016 2.123 32.35294118 343.6077124 2.04977619 1.271539182 2.133 32.50533374 376.1130461 2.056711507 1.415813528 2.081 31.71289241 407.8259385 2.058579853 1.479161617 2.000 30.47851265 438.3044512 2.054395578 1.433542348 2.065 31.46906431 469.7735155 2.055102539 1.447658501 2.183 33.26729656 503.040812 2.06309613 1.424236248 2.188 13.33739714 516.3782092 2.066142566 1.374941509 2.192 13.36177995 529.7399891 2.069139172 1.224510493 2.113 12.88021945 542.6202086 2.070159191 1.072999999 2.091 12.74611399 555.3663226 2.070632846 1.080630784 2.200 13.41054557 568.7768681 2.073507671 1.06186547 2.164 13.19110027 581.9679684 2.075474896 1.068911841 2.121 12.92898507 594.8969535 2.076443515 1.048406987 2.178 13.27644011 608.1733936 2.078559275 1.054804561 2.162 13.17890887 621.3523024 2.080262147 1.088488662 2.159 13.16062176 634.5129242 2.081836904 1.066805519 2.230 6.796708321 641.3096325 2.083303866 1.162528428 2.171 6.616885096 647.9265176 2.084163632 1.26919773 2.200 6.705272783 654.6317904 2.085288257 1.379112426 2.212 6.741846998 661.3736374 2.086506639 1.391200411 2.220 6.766229808 668.1398672 2.087778004 1.403139315 2.220 6.766229808 674.906097 2.089025381 1.414907541 2.240 6.827186833 681.7332839 2.090436359 1.442895742 2.250 6.857665346 688.5909492 2.0919138 1.469735736 2.330 7.101493447 695.6924426 2.094098077 1.495755734 2.309 7.037488571 702.7299312 2.096051731 1.520650186 2.400 7.314843036 710.0447743 2.098790004 1.544920085 2.410 7.345321548 717.3900958 2.101568665 1.568305138 2.410 7.345321548 724.7354174 2.104298145 1.565761458 2.390 7.284364523 732.0197819 2.106804302 1.575907311 2.410 7.345321548 739.3651034 2.109440786 1.644114832 2.408 7.339225846 746.7043293 2.112014573 1.642513902 2.380 7.25388601 753.9582153 2.114305046 1.539449382 2.400 7.314843036 761.2730583 2.11672619 1.649828072 2.420 7.375800061 768.6488584 2.11927471 1.625052782 2.450 7.467235599 776.116094 2.122030754 1.610560856 2.390 7.284364523 783.4004585 2.124245375 1.607695014 2.400 7.314843036 790.7153015 2.126505659 1.629741251 2.330 7.101493447 797.816795 2.128160085 1.650605407 2.460 7.497714112 805.3145091 2.130836213 1.636469053 2.500 7.619628162 812.9341373 2.133789523 1.63407191 2.350 7.162450472 820.0965877 2.13550548 1.630867588 2.420 7.375800061 827.4723878 2.137745594 1.640426194 2.320 7.071014934 834.5434027 2.139169457 1.636989342 2.230 6.796708321 841.340111 2.139873569 1.592310103 2.560 7.802499238 849.1426103 2.143105311 1.667727746

(12)

2.600 7.924413289 857.0670236 2.146593057 1.700262138 2.260 6.888143859 863.9551674 2.1474522 1.708168338 2.500 7.619628162 871.5747956 2.150102936 1.747473351 2.450 7.467235599 879.0420312 2.152340973 1.755562586 2.410 7.345321548 886.3873527 2.154249559 1.790203538 2.450 7.467235599 893.8545883 2.156424194 1.821778095 2.500 7.619628162 901.4742165 2.158932047 1.7505514 2.590 7.893934776 909.3681513 2.162055728 1.749220396 2.660 8.107284365 917.4754356 2.165638061 1.726446446 2.500 7.619628162 925.0950638 2.16802636 1.756454718 2.580 7.863456263 932.9585201 2.170948159 1.697608646 2.520 7.680585187 940.6391053 2.173406271 1.773410253 2.400 7.314843036 947.9539483 2.174990842 1.809185645 2.500 7.619628162 955.5735764 2.17724785 1.8254205 2.300 7.010057909 962.5836344 2.178094417 1.805434884

(13)

R

Reellaacciio

on d

n dee

F

Frraaccttu

urraa

F

Frraaccttu

urra F

a Fss

P

Po

orro F

o Fss

P

Po

oiisssso

on

n

g

gcccc

g

gcccc

gcccc

g

0.19780906 1.29589307 1.23589307 1.1285907 0.25690981 1.38876425 1.32876425 1.12857601 0.3016178 1.47318536 1.41318536 1.12854857 0.3277703 1.52964263 1.46964263 1.1285181 0.34632579 1.57373033 1.51373033 1.12848611 0.36071855 1.61065673 1.55065673 1.12845304 0.37247829 1.64285 1.58285 1.12841909 0.38241786 1.66111019 1.60111019 1.1379436 0.39103064 1.68869538 1.62869538 1.14330914 0.39862765 1.71662976 1.65662976 1.14685755 0.4054234 1.73412711 1.67412711 1.12827202 0.41157091 1.81586935 1.75586935 1.32653918 0.41718314 1.87457141 1.81457141 1.47081353 0.42234589 1.90279734 1.84279734 1.53416162 0.42712586 1.89644065 1.83644065 1.48854235 0.4315759 1.90886028 1.84886028 1.5026585 0.43573863 1.91758197 1.85758197 1.47923625 0.43733131 1.91217392 1.85217392 1.42994151 0.4388856 1.88515182 1.82515182 1.27951049 0.44040332 1.85776557 1.79776557 1.128 0.44188614 1.86446401 1.80446401 1.13563078 0.44333564 1.86755211 1.80755211 1.11686547 0.44475328 1.87517003 1.81517003 1.12391184 0.44614043 1.87650255 1.81650255 1.10340699 0.44749837 1.8839941 1.8239941 1.10980456 0.44882832 1.89610639 1.83610639 1.14348866 0.45013139 1.89772673 1.83772673 1.12180552 0.45077319 1.91824696 1.85824696 1.21752843 0.45140866 1.93979283 1.87979283 1.32419773 0.45203793 1.96166783 1.90166783 1.43411243 0.45266113 1.96623375 1.90623375 1.44620041 0.45327836 1.97076254 1.91076254 1.45813932 0.45388974 1.97518848 1.91518848 1.46990754 0.45449537 1.98240394 1.92240394 1.49789574 0.45509538 1.98936862 1.92936862 1.52473574 0.45568985 1.99668069 1.93668069 1.55075573 0.4562789 2.00351462 1.94351462 1.57565019 0.45686261 2.01081042 1.95081042 1.59992008 0.45744109 2.01790913 1.95790913 1.62330514 0.45801443 2.02086135 1.96086135 1.62076146 0.45858271 2.02557929 1.96557929 1.63090731 0.45914604 2.03914303 1.97914303 1.69911483 0.45970448 2.04198337 1.98198337 1.6975139 0.46025813 2.02965037 1.96965037 1.59444938 0.46080707 2.04885029 1.98885029 1.70482807 0.46135138 2.0483528 1.9883528 1.68005278 0.46189113 2.04958616 1.98958616 1.66556086 0.4624264 2.05203701 1.99203701 1.66269501 0.46295727 2.05797663 1.99797663 1.68474125 0.46348381 2.06315374 2.00315374 1.70560541 0.46400608 2.06443914 2.00443914 1.69146905 0.46452415 2.06757587 2.00757587 1.68907191 0.4650381 2.06954527 2.00954527 1.68586759 0.46554798 2.07362887 2.01362887 1.69542619 0.46605387 2.0753163 2.0153163 1.69198934 0.46655581 2.07121479 2.01121479 1.6473101 0.46705389 2.08433073 2.02433073 1.72272775 0 2000 4000 6000 8000 10000 12000 14000 16000 1 P r o f u n d i d a d [ f t ]

(14)

0.46754814 2.09218713 2.03218713 1.75526214 0.46803864 2.094666 2.034666 1.76316834 0.46852543 2.10241451 2.04241451 1.80247335 0.46900858 2.10602488 2.04602488 1.81056259 0.46948814 2.11237407 2.05237407 1.84520354 0.46996415 2.11849703 2.05849703 1.87677809 0.47043668 2.11333566 2.05333566 1.8055514 0.47090578 2.11665314 2.05665314 1.8042204 0.47137148 2.11806815 2.05806815 1.78144645 0.47183385 2.12412961 2.06412961 1.81145472 0.47229293 2.12124311 2.06124311 1.75260865 0.47274876 2.13205829 2.07205829 1.82841025 0.47320139 2.13777332 2.07777332 1.86418565 0.47365087 2.14202278 2.08202278 1.8804205 0.47409724 2.14138455 2.08138455 1.86043488

(15)

1.5 2 2.5 [gcc]

[gcc]

Ventana de Operación Eaton

Ventana de Operación Eaton

Presión de Poro Presion de Poro FS Presión de Fractura Presión de Fractura FS Gradiente sobrecarga

(16)
(17)
(18)

Parish or Country and State FPG (psi/ft) DTO-DTN (µ

s/ft)

0.87 22 0.62 9 0.82 21 0.84 27 0.86 27 0.73 13 0.54 4 0.86 30 0.56 7 0.84 23 0.92 33 0.6 5 0.88 33 0.9 38 0.91 39 0.81 21 0.97 56 0.78 18 0 0.2 0.4 0.6 0.8 1 1.2 0 [ p s i / f t ]

Poli

Poli

0 0.2 0.4 0.6 0.8 1 1.2 0 [ p s i / f t ]

P

P

(19)
(20)

y = -0.0002x2+ 0.0193x + 0.4826

20 40 60

[[ s/ft]s/ft]

nomio

nomio Segundo

Segundo Grado

Grado de

de H&J

H&J

Series1 Poly. (Series1) y = 5E-06x3- 0.0007x2+ 0.0304x + 0.4234 20 40 60

[[ s/ft]

s/ft]

olinomio

olinomio T

Tercer Grado

ercer Grado de H&J

de H&J

Series1 Poly. (Series1)

(21)
(22)

PRO

PROFUND

FUNDIDA

IDAD

D PRO

PROFUN

FUNDIDA

DIDAD

D LIT

LITODE

ODENSI

NSIDAD

DAD TIE

TIEMPO

MPO DE

DE TRA

TRANSI

NSITO

TO

m

m

fftt

g

gcccc

s / fts / ft 60.96 200 1.975 187 152.40 500 1.992 184 304.80 1000 2.013 179 457.20 1500 2.029 174 609.60 2000 2.044 169 762.00 2500 2.057 164 914.40 3000 2.069 160 1066.75 3500 1.920 156 1219.14 4000 2.070 152 1371.53 4500 2.123 148 1523.93 5000 2.115 143 1676.32 5500 2.123 150 1828.71 6000 2.133 156 1981.10 6500 2.081 157 2133.50 7000 2.000 149 2285.89 7500 2.065 146 2438.28 8000 2.183 140 2499.24 8200 2.188 135 2560.20 8400 2.192 125 2621.15 8600 2.113 117 2682.11 8800 2.091 116 2743.07 9000 2.200 114 2804.02 9200 2.164 113 2864.98 9400 2.121 111 2925.94 9600 2.178 110 2986.89 9800 2.162 110 3047.85 10000 2.159 108 3078.33 10100 2.230 111 3108.81 10200 2.171 115 3139.29 10300 2.200 120 3169.77 10400 2.212 120 3200.24 10500 2.220 120 3230.72 10600 2.220 120 3261.20 10700 2.240 121 3291.68 10800 2.250 122 3322.16 10900 2.330 123 3352.64 11000 2.309 124 3383.11 11100 2.400 125 3413.59 11200 2.410 126 3444.07 11300 2.410 125 3474.55 11400 2.390 125 3505.03 11500 2.410 130 3535.51 11600 2.408 129 3565.99 11700 2.380 120 3596.46 11800 2.400 128 3626.94 11900 2.420 125 3657.42 12000 2.450 123 3687.90 12100 2.390 122 3718.38 12200 2.400 123 3748.86 12300 2.330 124 3779.34 12400 2.460 122 3809.81 12500 2.500 121 3840.29 12600 2.350 120 3870.77 12700 2.420 120 3901.25 12800 2.320 119 3931.73 12900 2.230 115 3962.21 13000 2.560 120

(23)

3992.69 13100 2.600 122 4023.16 13200 2.260 122 4053.64 13300 2.500 125 4084.12 13400 2.450 125 4114.60 13500 2.410 128 4145.08 13600 2.450 131 4175.56 13700 2.500 122 4206.03 13800 2.590 121 4236.51 13900 2.660 118 4266.99 14000 2.500 120 4297.47 14100 2.580 114 4327.95 14200 2.520 120 4358.43 14300 2.400 123 4388.91 14400 2.500 124 4419.38 14500 2.300 121

(24)

T

TIIE

EM

MP

PO D

O DE T

E TR

RA

AN

NS

SIIT

TO N

O No

orrm

maall

X

X

S

SO

OB

BR

RE

EC

CA

AR

RG

GA

A S

So

ob

brreeccaarrg

ga A

a Accu

um

mu

ullaad

daa

s s / / fftt ((∆∆tt00--∆∆ttnn)) 187 0 12.040 12.040 184 0 30.358 30.358 179 0 61.342 61.342 174 0 92.775 92.775 169 0 124.585 124.585 164 0 156.732 156.732 160 0 189.186 189.186 155 1 204.816 204.816 151 1 252.362 252.362 147 1 291.176 291.176 143 0 322.310 322.310 139 11 355.882 355.882 135 21 390.064 390.064 132 25 412.268 412.268 128 21 426.699 426.699 124 22 472.036 472.036 121 19 532.277 532.277 120 15 546.833 546.833 118 7 561.195 561.195 117 0 553.849 553.849 116 0 560.829 560.829 114 0 603.475 603.475 113 0 606.791 606.791 112 -1 607.662 607.662 111 -1 637.269 637.269 109 1 645.767 645.767 108 0 658.031 658.031 108 3 686.468 686.468 107 8 674.922 674.922 106 14 690.643 690.643 106 14 701.152 701.152 105 15 710.454 710.454 105 15 717.220 717.220 104 17 730.509 730.509 104 18 740.628 740.628 103 20 774.063 774.063 102 22 774.124 774.124 102 23 811.948 811.948 101 25 822.676 822.676 101 24 830.021 830.021 100 25 830.418 830.418 100 30 844.712 844.712 99 30 851.350 851.350 98 22 848.705 848.705 98 30 863.151 863.151 97 28 877.720 877.720 97 26 896.068 896.068 96 26 881.408 881.408 96 27 892.411 892.411 95 29 873.484 873.484 95 27 929.717 929.717 94 27 952.454 952.454 94 26 902.469 902.469 93 27 936.727 936.727 93 26 905.090 905.090 92 23 876.775 876.775 92 28 1014.325 1014.325

(25)

91 31 1038.098 1038.098 91 31 909.235 909.235 90 35 1013.411 1013.411 90 35 1000.610 1000.610 89 39 991.618 991.618 89 42 1015.544 1015.544 88 34 1043.889 1043.889 88 33 1089.363 1089.363 87 31 1126.913 1126.913 87 33 1066.748 1066.748 86 28 1108.747 1108.747 86 34 1090.643 1090.643 85 38 1046.023 1046.023 85 39 1097.226 1097.226 84 37 1016.458 1016.458

(26)

SO

SOBRE

BRECA

CARGA

RGA GRA

GRADI

DIEN

ENTE

TE y

y (g

(gra

rado

do 2)

2) [p

[psi

si/f

/ft]

t] Po

Poro

ro Gr

Grad

adie

ient

ntee PO

PORO

RO GR

GRAD

ADIE

IENT

NTE

E RE

RELA

LACI

CION

ON

P

PO

OR

RO

O

G

GR

RA

AD

DIIE

EN

NT

TE

E

g

gcccc

F

FS

S

P

PO

OIIS

SO

OO

ON

N

1.975 0.483 1.116 1.171 0.198 1.992 0.483 1.116 1.171 0.257 2.013 0.483 1.116 1.171 0.302 2.029 0.483 1.116 1.171 0.328 2.044 0.483 1.116 1.171 0.346 2.057 0.483 1.116 1.171 0.361 2.069 0.483 1.116 1.171 0.372 1.920 0.493 1.139 1.194 0.382 2.070 0.498 1.151 1.206 0.391 2.123 0.501 1.158 1.213 0.399 2.115 0.483 1.115 1.170 0.405 2.123 0.670 1.547 1.602 0.412 2.133 0.797 1.841 1.896 0.417 2.081 0.844 1.950 2.005 0.422 2.000 0.801 1.849 1.904 0.427 2.065 0.806 1.862 1.917 0.432 2.183 0.777 1.795 1.850 0.436 2.188 0.732 1.690 1.745 0.437 2.192 0.603 1.392 1.447 0.439 2.113 0.483 1.115 1.170 0.440 2.091 0.488 1.128 1.183 0.442 2.200 0.474 1.096 1.151 0.443 2.164 0.480 1.108 1.163 0.445 2.121 0.465 1.074 1.129 0.446 2.178 0.470 1.085 1.140 0.447 2.162 0.493 1.140 1.195 0.449 2.159 0.478 1.105 1.160 0.450 2.230 0.546 1.260 1.315 0.451 2.171 0.624 1.441 1.496 0.451 2.200 0.708 1.634 1.689 0.452 2.212 0.716 1.653 1.708 0.453 2.220 0.724 1.672 1.727 0.453 2.220 0.732 1.690 1.745 0.454 2.240 0.752 1.736 1.791 0.454 2.250 0.771 1.781 1.836 0.455 2.330 0.789 1.823 1.878 0.456 2.309 0.807 1.863 1.918 0.456 2.400 0.823 1.900 1.955 0.457 2.410 0.838 1.935 1.990 0.457 2.410 0.834 1.926 1.981 0.458 2.390 0.839 1.938 1.993 0.459 2.410 0.885 2.044 2.099 0.459 2.408 0.882 2.036 2.091 0.460 2.380 0.806 1.861 1.916 0.460 2.400 0.882 2.038 2.093 0.461 2.420 0.863 1.994 2.049 0.461 2.450 0.851 1.965 2.020 0.462 2.390 0.847 1.956 2.011 0.462 2.400 0.860 1.986 2.041 0.463 2.330 0.873 2.015 2.070 0.463 2.460 0.861 1.988 2.043 0.464 2.500 0.857 1.978 2.033 0.465 2.350 0.852 1.969 2.024 0.465 2.420 0.857 1.979 2.034 0.466 2.320 0.853 1.970 2.025 0.466 2.230 0.820 1.894 1.949 0.467 2.560 0.870 2.009 2.064 0.467

(27)

2.600 0.888 2.052 2.107 0.468 2.260 0.892 2.060 2.115 0.468 2.500 0.913 2.108 2.163 0.469 2.450 0.915 2.114 2.169 0.469 2.410 0.931 2.150 2.205 0.469 2.450 0.941 2.174 2.229 0.470 2.500 0.907 2.095 2.150 0.470 2.590 0.904 2.088 2.143 0.471 2.660 0.888 2.051 2.106 0.471 2.500 0.904 2.088 2.143 0.472 2.580 0.865 1.998 2.053 0.472 2.520 0.910 2.101 2.156 0.473 2.400 0.927 2.140 2.195 0.473 2.500 0.932 2.153 2.208 0.474 2.300 0.922 2.129 2.184 0.474

(28)

F

FRA

RACT

CTUR

URA

A FR

FRA

ACT

CTUR

URA

A gr

grad

adie

ient

ntee

y

y (g

(grrad

ado

o 3)

3) [p

[psi

si/f

/ft]

t] P

Po

oro

ro gr

grad

adie

ient

ntee Po

Poro

ro g

gra

rad

die

ient

ntee

g

gcccc

F

FS

S

P

Po

orro

Grraad

G

o

diieen

nttee

gcccc

g

F

FS

S

[[g

gcccc]]

1.328 1.268 0.425 0.981 1.036 1.419 1.359 0.425 0.981 1.036 1.503 1.443 0.424 0.980 1.035 1.561 1.501 0.424 0.980 1.035 1.607 1.547 0.424 0.980 1.035 1.647 1.587 0.424 0.980 1.035 1.681 1.621 0.424 0.979 1.034 1.623 1.563 0.440 1.016 1.071 1.741 1.681 0.448 1.034 1.089 1.798 1.738 0.452 1.045 1.100 1.797 1.737 0.424 0.979 1.034 1.950 1.890 0.679 1.568 1.623 2.050 1.990 0.798 1.842 1.897 2.046 1.986 0.826 1.908 1.963 1.962 1.902 0.800 1.848 1.903 2.016 1.956 0.804 1.857 1.912 2.095 2.035 0.783 1.808 1.863 2.077 2.017 0.743 1.717 1.772 2.018 1.958 0.597 1.379 1.434 1.900 1.840 0.423 0.978 1.033 1.890 1.830 0.432 0.999 1.054 1.975 1.915 0.410 0.948 1.003 1.954 1.894 0.419 0.967 1.022 1.917 1.857 0.395 0.913 0.968 1.970 1.910 0.403 0.931 0.986 1.972 1.912 0.440 1.017 1.072 1.968 1.908 0.417 0.962 1.017 2.056 1.996 0.518 1.197 1.252 2.042 1.982 0.624 1.441 1.496 2.101 2.041 0.720 1.662 1.717 2.115 2.055 0.728 1.681 1.736 2.126 2.066 0.736 1.699 1.754 2.130 2.070 0.743 1.716 1.771 2.156 2.096 0.762 1.759 1.814 2.173 2.113 0.778 1.796 1.851 2.247 2.187 0.792 1.829 1.884 2.237 2.177 0.804 1.857 1.912 2.321 2.261 0.814 1.881 1.936 2.336 2.276 0.823 1.901 1.956 2.335 2.275 0.821 1.895 1.950 2.321 2.261 0.824 1.902 1.957 2.355 2.295 0.841 1.943 1.998 2.353 2.293 0.840 1.941 1.996 2.304 2.244 0.804 1.856 1.911 2.347 2.287 0.841 1.941 1.996 2.359 2.299 0.834 1.927 1.982 2.381 2.321 0.829 1.915 1.970 2.329 2.269 0.827 1.911 1.966 2.343 2.283 0.833 1.924 1.979 2.287 2.227 0.838 1.935 1.990 2.397 2.337 0.833 1.925 1.980 2.431 2.371 0.832 1.921 1.976 2.300 2.240 0.830 1.917 1.972 2.363 2.303 0.832 1.921 1.976 2.275 2.215 0.830 1.917 1.972 2.188 2.128 0.813 1.877 1.932 2.492 2.432 0.837 1.933 1.988

(29)

2.533 2.473 0.842 1.945 2.000 2.236 2.176 0.843 1.946 2.001 2.454 2.394 0.844 1.950 2.005 2.411 2.351 0.844 1.950 2.005 2.380 2.320 0.841 1.942 1.997 2.419 2.359 0.835 1.928 1.983 2.455 2.395 0.844 1.950 2.005 2.535 2.475 0.844 1.950 2.005 2.594 2.534 0.842 1.944 1.999 2.456 2.396 0.844 1.950 2.005 2.519 2.459 0.835 1.929 1.984 2.477 2.417 0.844 1.950 2.005 2.374 2.314 0.842 1.945 2.000 2.465 2.405 0.840 1.941 1.996 2.283 2.223 0.843 1.948 2.003

(30)

RELACION

RELACION

F

Frraaccttu

urraa

F

Frraaccttu

urraa

POISOON

POISOON

g

gcccc

F

FS

S [[g

gcccc]]

0.198 1.348 1.288 0.257 1.447 1.387 0.302 1.538 1.478 0.328 1.601 1.541 0.346 1.650 1.590 0.361 1.692 1.632 0.372 1.730 1.670 0.382 1.665 1.605 0.391 1.781 1.721 0.399 1.836 1.776 0.405 1.852 1.792 0.412 1.897 1.837 0.417 2.010 1.950 0.422 2.036 1.976 0.427 1.922 1.862 0.432 1.978 1.918 0.436 2.043 1.983 0.437 2.014 1.954 0.439 1.985 1.925 0.440 1.965 1.905 0.442 1.949 1.889 0.443 2.049 1.989 0.445 2.022 1.962 0.446 2.003 1.943 0.447 2.051 1.991 0.449 2.027 1.967 0.450 2.039 1.979 0.451 2.063 2.003 0.451 1.996 1.936 0.452 2.033 1.973 0.453 2.047 1.987 0.453 2.058 1.998 0.454 2.063 2.003 0.454 2.092 2.032 0.455 2.114 2.054 0.456 2.196 2.136 0.456 2.196 2.136 0.457 2.291 2.231 0.457 2.319 2.259 0.458 2.314 2.254 0.459 2.305 2.245 0.459 2.394 2.334 0.460 2.387 2.327 0.460 2.261 2.201 0.461 2.383 2.323 0.461 2.369 2.309 0.462 2.377 2.317 0.462 2.321 2.261 0.463 2.349 2.289 0.463 2.309 2.249 0.464 2.403 2.343 0.465 2.433 2.373 0.465 2.298 2.238 0.466 2.366 2.306 0.466 2.273 2.213 0.467 2.154 2.094 0.467 2.510 2.450 0 2000 4000 6000 8000 10000 12000 14000 16000 0.000 0.500 1.000 1.500 P r o f u n d i d a d ( f t ) gcc gcc

Ventana de Oper

Ventana de Oper

0 2000 4000 6000 8000 10000 12000 14000 16000 0.000 0.500 1.000 1.500 P r o f u n d i d a d [ f t ] [gcc] [gcc]

Ventana de Oper

Ventana de Oper

(31)

0.468 2.579 2.519 0.468 2.287 2.227 0.469 2.545 2.485 0.469 2.508 2.448 0.469 2.515 2.455 0.470 2.588 2.528 0.470 2.535 2.475 0.471 2.609 2.549 0.471 2.640 2.580 0.472 2.531 2.471 0.472 2.532 2.472 0.473 2.563 2.503 0.473 2.499 2.439 0.474 2.606 2.546 0.474 2.397 2.337

(32)

2.000 2.500 3.000

ación de H&J [Grado 2]

ación de H&J [Grado 2]

Presion de poro Presion de poro Fs Presion de Fractura Presion de Fractura Fs Sobrecarga gradiente 2.000 2.500 3.000

ación de H&J [Grado 3]

ación de H&J [Grado 3]

Presión de poro Presión de Poro FS Presión de Fractura Presión de Fractura FS Sobrecarga

(33)

METODO DE BOWERS

METODO DE BOWERS

PROFUNDIDAD

PROFUNDIDAD

ft

ft

0 200 500 1000 1500

Generando matriz de valores de A y B

Generando matriz de valores de A y B

2000

2500

A

A

B

B

V

Vo

o

3000

-20%

-20%

3.56536 0.65344 4500 3500

-15%

-15%

3.788195 0.69428 4500 4000

-10%

-10%

4.01103 0.73512 4500 4500

-5%

-5%

4.233865 0.77596 4500 5000

0%

0%

44..44556677 0..808116688 4455000 0 5500

5%

5%

4.679535 0.85764 4500 6000

10%

10%

4.90237 0.89848 4500 6500

15%

15%

5.125205 0.93932 4500 7000

20%

20%

5.34804 0.98016 4500 7500 8000 8200 8400 8600 8800 9000 9200 9400 9600 9800 10000 10100 10200 10300 10400 10500 10600 10700 10800 10900 11000 11100 11200 11300 11400 11500 11600 11700 11800 11900 12000 12100 12200 12300 12400 12500

(34)

12600 12700 12800 12900 13000 13100 13200 13300 13400 13500 13600 13700 13800 13900 14000 14100 14200 14300 14400 14500 0 2000 4000 6000 8000 10000 12000 14000 16000 0 50 100 P r o f u n d i d a d [ f t ]

Curvas

Curvas

(35)

TIEMPO DE TRANSITO

TIEMPO DE TRANSITO

E

Essfu

fueerrzzo

o d

de

e sso

ob

brreeccaarrg

gaa

P

Prreessiió

ón

n d

de

e p

po

orro

o

s / ft s / ft

p

pssii

p

pssii

0 0 187 200 92.922 184 500 232.305 179 1000 464.61 174 1500 696.915 169 2000 929.22 164 2500 1161.525 160 3000 1393.83 156 3500 1626.135 152 4000 1858.44 148 4500 2090.745 143 5000 2323.05 150 5500 2555.355 156 6000 2787.66 157 6500 3019.965 149 7000 3252.27 146 7500 3484.575 140 8000 3716.88 135 8200 3809.802 125 8400 3902.724 117 8600 3995.646 116 8800 4088.568 114 9000 4181.49 113 9200 4274.412 111 9400 4367.334 110 9600 4460.256 110 9800 4553.178 108 10000 4646.1 111 10100 4692.561 115 10200 4739.022 120 10300 4785.483 120 10400 4831.944 120 10500 4878.405 120 10600 4924.866 121 10700 4971.327 122 10800 5017.788 123 10900 5064.249 124 11000 5110.71 125 11100 5157.171 126 11200 5203.632 125 11300 5250.093 125 11400 5296.554 130 11500 5343.015 129 11600 5389.476 120 11700 5435.937 128 11800 5482.398 125 11900 5528.859 123 12000 5575.32 122 12100 5621.781 123 12200 5668.242 124 12300 5714.703 122 12400 5761.164 121 12500 5807.625

(36)

120 12600 5854.086 120 12700 5900.547 119 12800 5947.008 115 12900 5993.469 120 13000 6039.93 122 13100 6086.391 122 13200 6132.852 125 13300 6179.313 125 13400 6225.774 128 13500 6272.235 131 13600 6318.696 122 13700 6365.157 121 13800 6411.618 118 13900 6458.079 120 14000 6504.54 114 14100 6551.001 120 14200 6597.462 123 14300 6643.923 124 14400 6690.384 121 14500 6736.845 150 200 250 s/ft s/ft

Tipo

Tipo

(37)

1 2 3 4 5

A

A=

=

33..5566553366

11

B

B=

=

00..6655334444

00..6699442288

00..7733551122

00..7777559966

00..88116688

C

CU

UR

RV

VA

A 11

C

CU

UR

RV

VA

A 22

C

CU

UR

RV

VA

A 33

C

CU

UR

RV

VA

A 44

C

CU

UR

RV

VA

A 55

Esfuerzo matricial

Esfuerzo matricial

T

T

T

T

T

T

T

T

T

T

psi

psi

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

0 222 222 222 222 222 107 217 218 217 216 214 268 212 214 212 210 206 535 207 209 206 201 196 803 203 205 201 195 187 1071 200 202 196 189 180 1338 196 199 192 183 173 1606 194 196 188 179 167 1874 191 194 185 174 162 2142 188 191 182 170 157 2409 186 189 179 167 152 2677 184 187 176 163 148 2945 182 185 173 160 144 3212 180 183 171 157 141 3480 178 181 169 154 137 3748 177 179 166 151 134 4015 175 178 164 149 131 4283 173 176 162 146 128 4390 173 175 161 145 127 4497 172 175 161 144 126 4604 172 174 160 143 125 4711 171 173 159 142 124 4819 170 173 158 141 123 4926 170 172 158 141 122 5033 169 172 157 140 121 5140 169 171 156 139 120 5247 168 171 155 138 119 5354 168 170 155 137 118 5407 167 170 154 137 118 5461 167 169 154 136 117 5515 167 169 154 136 117 5568 167 169 153 136 116 5622 166 169 153 135 116 5675 166 168 153 135 116 5729 166 168 152 134 115 5782 166 168 152 134 115 5836 165 168 152 134 114 5889 165 167 151 133 114 5943 165 167 151 133 113 5996 165 167 151 133 113 6050 164 167 150 132 113 6103 164 166 150 132 112 6157 164 166 150 131 112 6211 164 166 149 131 111 6264 163 165 149 131 111 6318 163 165 149 130 111 6371 163 165 149 130 110 6425 163 165 148 130 110 6478 162 165 148 129 110 6532 162 164 148 129 109 6585 162 164 147 129 109 6639 162 164 147 128 108 6692 161 164 147 128 108

(38)

6746 161 163 146 128 108 6799 161 163 146 127 107 6853 161 163 146 127 107 6907 161 163 146 127 107 6960 160 162 145 126 106 7014 160 162 145 126 106 7067 160 162 145 126 106 7121 160 162 144 125 105 7174 159 161 144 125 105 7228 159 161 144 125 105 7281 159 161 144 124 104 7335 159 161 143 124 104 7388 159 161 143 124 104 7442 158 160 143 123 103 7495 158 160 143 123 103 7549 158 160 142 123 103 7603 158 160 142 123 102 7656 157 159 142 122 102 7710 157 159 141 122 102 7763 157 159 141 122 101

Curva

Curva

(39)

6 7 8 9 10 11 12

A

A=

=

33..778888119955

22

00..8855776644

00..8899884488

00..9933993322

00..998800116B

6B =

=

00..6655334444

00..6699442288

00..7733551122

C

CU

UR

RV

VA

A 66

C

CU

UR

RV

VA

A 77

C

CU

UR

RV

VA

A 88

C

CU

UR

RV

VA

A 99

C

CU

UR

RV

VA

A 11

C

CU

UR

RV

VA

A 22

C

CU

UR

RV

VA

A 33

T

T

T

T

T

T

T

T

T

T

T

T

T

T

µ µ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

222 222 222 222 222 222 222 213 211 209 206 218 218 217 203 198 193 187 215 214 211 189 182 172 162 211 208 205 178 168 156 143 208 204 199 169 157 143 128 206 201 195 161 147 132 116 203 198 190 154 139 123 106 201 195 187 147 131 115 98 199 192 183 142 125 108 90 197 189 180 136 119 101 84 196 187 177 132 114 96 79 194 185 174 127 109 91 74 192 183 171 123 105 87 70 191 181 169 119 101 83 66 189 179 166 116 97 79 63 188 177 164 112 94 76 60 187 175 162 109 91 73 57 185 174 159 108 89 72 56 185 173 159 107 88 71 55 184 172 158 106 87 70 54 184 172 157 105 86 69 53 183 171 156 104 85 68 53 183 170 155 103 84 67 52 182 170 155 102 83 66 51 182 169 154 101 82 65 50 182 169 153 100 81 64 49 181 168 153 99 80 63 49 181 168 152 98 80 63 48 180 167 151 98 79 62 48 180 167 151 97 79 62 47 180 167 151 97 78 61 47 180 166 150 96 78 61 47 180 166 150 96 77 61 46 179 166 150 96 77 60 46 179 166 149 95 77 60 46 179 165 149 95 76 60 45 179 165 149 94 76 59 45 179 165 148 94 75 59 45 178 164 148 93 75 58 44 178 164 148 93 75 58 44 178 164 147 93 74 58 44 178 164 147 92 74 57 44 177 163 147 92 73 57 43 177 163 146 91 73 57 43 177 163 146 91 73 56 43 177 163 146 91 72 56 42 177 162 146 90 72 56 42 176 162 145 90 72 55 42 176 162 145 90 71 55 42 176 162 145 89 71 55 41 176 161 144 89 70 54 41 176 161 144 88 70 54 41 176 161 144

(40)

88 70 54 40 175 161 143 88 69 54 40 175 160 143 87 69 53 40 175 160 143 87 69 53 40 175 160 143 87 68 53 39 175 160 142 86 68 52 39 174 159 142 86 68 52 39 174 159 142 86 67 52 39 174 159 141 85 67 51 39 174 159 141 85 67 51 38 174 158 141 85 67 51 38 173 158 141 84 66 51 38 173 158 140 84 66 50 38 173 158 140 84 66 50 37 173 158 140 83 65 50 37 173 157 139 83 65 50 37 173 157 139 83 65 49 37 172 157 139 82 64 49 37 172 157 139 82 64 49 36 172 156 138 82 64 49 36 172 156 138

La cur

La cur

eleccionada es la curva 32

eleccionada es la curva 32

(41)

13 14 15 16 17 18 19

A

A=

=

44..0011110033

00..7777559966

00..88116688

00..8855776644

00..8899884488

00..9933993322

00..998800116B

6B =

=

00..6655334444

C

CU

UR

RV

VA

A 44

C

CU

UR

RV

VA

A 55

C

CU

UR

RV

VA

A 66

C

CU

UR

RV

VA

A 77

C

CU

UR

RV

VA

A 88

C

CU

UR

RV

VA

A 99

C

CU

UR

RV

VA

A 11

T

T

T

T

T

T

T

T

T

T

T

T

T

T

µ µ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

222 222 222 222 222 222 222 215 214 212 210 208 205 218 209 206 202 197 191 185 215 200 194 188 179 170 159 211 193 185 176 165 153 140 208 187 178 167 154 140 125 205 181 171 158 144 129 112 202 177 165 151 136 119 103 200 172 159 144 128 111 94 198 168 154 138 122 104 87 196 164 149 133 116 98 81 194 161 145 128 110 93 76 192 157 141 124 106 88 71 191 154 138 120 101 84 67 189 151 134 116 97 80 64 188 148 131 112 94 76 60 186 146 128 109 90 73 57 185 143 125 106 87 70 55 184 142 124 105 86 69 54 183 141 123 104 85 68 53 183 140 122 103 84 67 52 182 139 121 101 83 66 51 182 138 120 100 82 65 50 181 137 119 99 81 64 49 181 137 118 98 80 63 49 180 136 117 97 79 62 48 180 135 116 96 78 61 47 179 134 115 95 77 60 46 179 134 114 95 77 60 46 178 133 114 95 76 60 46 178 133 114 94 76 59 45 178 132 113 94 75 59 45 178 132 113 93 75 58 45 178 132 112 93 74 58 44 177 131 112 92 74 58 44 177 131 111 92 74 57 44 177 130 111 91 73 57 43 177 130 111 91 73 57 43 176 130 110 91 72 56 43 176 129 110 90 72 56 42 176 129 109 90 72 56 42 176 129 109 89 71 55 42 176 128 109 89 71 55 41 175 128 108 89 70 55 41 175 127 108 88 70 54 41 175 127 107 88 70 54 41 175 127 107 87 69 54 40 175 126 107 87 69 53 40 174 126 106 87 69 53 40 174 126 106 86 68 53 40 174 125 105 86 68 52 39 174 125 105 86 68 52 39 174 125 105 85 67 52 39 173

(42)

124 104 85 67 51 39 173 124 104 85 67 51 38 173 124 104 84 66 51 38 173 123 103 84 66 51 38 173 123 103 83 66 50 38 172 123 103 83 65 50 37 172 122 102 83 65 50 37 172 122 102 82 65 49 37 172 122 102 82 64 49 37 172 121 101 82 64 49 36 171 121 101 81 64 49 36 171 121 101 81 63 48 36 171 120 100 81 63 48 36 171 120 100 80 63 48 36 171 120 100 80 63 48 35 170 119 99 80 62 47 35 170 119 99 80 62 47 35 170 119 99 79 62 47 35 170 119 98 79 61 47 35 170 118 98 79 61 46 34 170

a seleccionada es la curva 32

a seleccionada es la curva 32

(43)

20 21 22 23 24 25 26

33

00..6699442288

00..7733551122

00..7777559966

00..88116688

00..8855776644

00..8899884488

00..9933993322

C

CU

UR

RV

VA

A 22

C

CU

UR

RV

VA

A 33

C

CU

UR

RV

VA

A 44

C

CU

UR

RV

VA

A 55

C

CU

UR

RV

VA

A 66

C

CU

UR

RV

VA

A 77

C

CU

UR

RV

VA

A 88

T

T

T

T

T

T

T

T

T

T

T

T

T

T

µ µ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

222 222 222 222 222 222 222 217 216 215 214 212 210 207 213 211 208 205 201 196 190 208 204 199 193 186 177 168 203 198 192 184 174 163 150 200 193 185 176 164 151 137 196 189 180 168 156 141 125 193 185 174 162 148 133 116 190 181 170 156 141 125 108 188 178 166 151 135 118 101 185 175 162 147 130 113 95 183 172 158 142 125 107 90 181 169 154 138 121 103 85 179 166 151 134 117 98 81 177 164 148 131 113 94 77 175 161 145 128 109 91 73 173 159 143 125 106 87 70 171 157 140 122 103 84 67 171 156 139 121 102 83 66 170 155 138 120 101 82 65 169 154 137 119 99 81 64 169 154 136 117 98 80 63 168 153 135 116 97 79 62 168 152 134 115 96 78 61 167 151 134 114 95 77 60 166 151 133 114 94 76 60 166 150 132 113 93 75 59 165 149 131 112 92 74 58 165 149 131 111 92 74 58 165 148 130 111 91 73 57 164 148 130 110 91 73 57 164 148 129 110 91 72 56 164 147 129 109 90 72 56 163 147 128 109 90 72 56 163 147 128 109 89 71 55 163 146 128 108 89 71 55 163 146 127 108 88 70 55 162 146 127 107 88 70 54 162 145 127 107 88 70 54 162 145 126 107 87 69 54 161 145 126 106 87 69 53 161 144 125 106 86 68 53 161 144 125 105 86 68 53 161 144 125 105 86 68 52 160 143 124 105 85 67 52 160 143 124 104 85 67 52 160 143 124 104 84 67 51 160 142 123 103 84 66 51 159 142 123 103 84 66 51 159 142 123 103 83 66 50 159 141 122 102 83 65 50 159 141 122 102 83 65 50 158 141 122 102 82 65 49

(44)

158 140 121 101 82 64 49 158 140 121 101 82 64 49 158 140 120 101 81 64 49 157 140 120 100 81 63 48 157 139 120 100 81 63 48 157 139 119 99 80 63 48 157 139 119 99 80 62 47 156 138 119 99 80 62 47 156 138 119 98 79 62 47 156 138 118 98 79 61 47 156 138 118 98 79 61 46 155 137 118 97 78 61 46 155 137 117 97 78 61 46 155 137 117 97 78 60 46 155 136 117 96 77 60 45 154 136 116 96 77 60 45 154 136 116 96 77 59 45 154 136 116 96 76 59 45 154 135 115 95 76 59 45 154 135 115 95 76 59 44

(45)

27 28 29 30 31 32 33

A

A=

=

44..223333886655

44

00..998800116B

6B =

=

00..6655334444

00..6699442288

00..7733551122

00..7777559966

00..88116688

00..8855776644

C

CU

UR

RV

VA

A 99

C

CU

UR

RV

VA

A 11

C

CU

UR

RV

VA

A 22

C

CU

UR

RV

VA

A 33

C

CU

UR

RV

VA

A 44

CU

C

UR

RV

VA

A 55

C

CU

UR

RV

VA

A 66

T

T

T

T

T

T

T

T

T

T

T

T

T

T

µ µ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

222 222 222 222 222 222 222 204 218 217 216 215 213 211 183 214 213 210 207 204 200 156 210 207 203 198 192 184 137 207 202 197 190 182 172 121 204 199 192 183 174 162 109 201 195 187 178 166 153 99 199 192 183 172 160 145 91 197 189 179 168 154 139 84 195 186 176 163 149 133 78 193 184 173 159 144 127 73 191 181 169 155 139 122 69 189 179 167 152 135 118 65 188 177 164 149 132 114 61 186 175 161 146 128 110 58 185 173 159 143 125 106 55 183 171 157 140 122 103 52 182 169 154 137 119 100 52 181 169 153 136 118 99 51 181 168 153 135 117 98 50 180 167 152 134 116 96 49 180 167 151 133 114 95 48 179 166 150 132 113 94 47 179 165 149 132 112 93 46 178 165 149 131 111 92 46 178 164 148 130 111 91 45 177 163 147 129 110 90 44 177 163 146 128 109 89 44 177 163 146 128 108 89 44 176 162 146 127 108 89 43 176 162 145 127 107 88 43 176 162 145 126 107 88 43 176 161 145 126 106 87 42 175 161 144 126 106 87 42 175 161 144 125 106 86 42 175 160 144 125 105 86 41 175 160 143 124 105 86 41 174 160 143 124 104 85 41 174 160 142 124 104 85 40 174 159 142 123 104 84 40 174 159 142 123 103 84 40 174 159 141 122 103 84 40 173 158 141 122 102 83 39 173 158 141 122 102 83 39 173 158 140 121 102 82 39 173 158 140 121 101 82 38 173 157 140 121 101 82 38 172 157 140 120 100 81 38 172 157 139 120 100 81 38 172 157 139 120 100 81 37 172 156 139 119 99 80 37 171 156 138 119 99 80 37 171 156 138 119 99 79

(46)

37 171 156 138 118 98 79 37 171 155 137 118 98 79 36 171 155 137 117 98 78 36 170 155 137 117 97 78 36 170 155 136 117 97 78 36 170 154 136 117 96 77 35 170 154 136 116 96 77 35 170 154 136 116 96 77 35 169 154 135 116 95 76 35 169 153 135 115 95 76 35 169 153 135 115 95 76 34 169 153 134 115 95 75 34 169 153 134 114 94 75 34 169 152 134 114 94 75 34 168 152 134 114 94 75 33 168 152 133 113 93 74 33 168 152 133 113 93 74 33 168 151 133 113 93 74 33 168 151 132 112 92 73 33 167 151 132 112 92 73

(47)

34 35 36 37 38 39 40

A

A=

=

44..44556677

55

00..8899884488

00..9933993322

00..998800116B

6B =

=

00..6655334444

00..6699442288

00..7733551122

00..7777559966

C

CU

UR

RV

VA

A 77

C

CU

UR

RV

VA

A 88

C

CU

UR

RV

VA

A 99

C

CU

UR

RV

VA

A 11

C

CU

UR

RV

VA

A 22

CU

C

UR

RV

VA

A 33

C

CU

UR

RV

VA

A 44

T

T

T

T

T

T

T

T

T

T

T

T

T

T

µ µ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

222 222 222 222 222 222 222 209 207 204 218 217 216 214 194 188 181 214 212 210 207 176 165 154 210 206 202 197 161 148 134 206 201 196 189 149 134 118 203 197 190 182 138 123 106 200 194 186 176 130 113 96 198 190 181 170 122 105 88 196 187 177 165 115 98 81 193 185 174 161 110 92 76 191 182 171 157 104 87 70 190 180 167 153 100 82 66 188 177 164 149 95 78 62 186 175 162 146 91 74 59 185 173 159 143 88 71 56 183 171 157 140 85 68 53 182 169 154 137 82 65 50 180 167 152 135 80 64 49 180 166 151 134 79 63 49 179 166 150 133 78 62 48 178 165 149 132 77 61 47 178 164 148 131 76 60 46 177 164 148 130 75 59 45 177 163 147 129 74 58 44 176 162 146 128 73 57 44 176 162 145 127 72 56 43 175 161 145 126 72 56 42 175 161 144 125 71 55 42 175 160 143 125 71 55 42 174 160 143 124 70 55 41 174 160 143 124 70 54 41 174 159 142 124 69 54 41 174 159 142 123 69 53 40 173 159 142 123 69 53 40 173 158 141 122 68 53 40 173 158 141 122 68 52 40 173 158 141 122 67 52 39 173 158 140 121 67 52 39 172 157 140 121 67 51 39 172 157 140 120 66 51 38 172 157 139 120 66 51 38 172 156 139 120 66 50 38 171 156 138 119 65 50 38 171 156 138 119 65 50 37 171 156 138 119 65 49 37 171 155 138 118 64 49 37 171 155 137 118 64 49 37 170 155 137 117 63 49 36 170 154 137 117 63 48 36 170 154 136 117 63 48 36 170 154 136 116 62 48 36 169 154 136 116 62 47 35 169 153 135 116

(48)

62 47 35 169 153 135 115 62 47 35 169 153 135 115 61 47 35 169 153 134 115 61 46 34 168 152 134 114 61 46 34 168 152 134 114 60 46 34 168 152 133 114 60 46 34 168 152 133 113 60 45 34 168 151 133 113 59 45 33 167 151 133 113 59 45 33 167 151 132 112 59 45 33 167 151 132 112 59 44 33 167 150 132 112 58 44 33 167 150 131 111 58 44 32 166 150 131 111 58 44 32 166 150 131 111 57 43 32 166 149 131 110 57 43 32 166 149 130 110 57 43 32 166 149 130 110 57 43 31 165 149 130 110 56 42 31 165 148 129 109

(49)

41 42 43 44 45 46 47

A

A=

=

44..667799553355

66

00..88116688

00..8855776644

00..8899884488

00..9933993322

00..998800116B

6B =

=

00..6655334444

00..6699442288

C

CU

UR

RV

VA

A 55

C

CU

UR

RV

VA

A 66

C

CU

UR

RV

VA

A 77

C

CU

UR

RV

VA

A 88

C

CU

UR

RV

VA

A 99

CU

C

UR

RV

VA

A 11

C

CU

UR

RV

VA

A 22

T

T

T

T

T

T

T

T

T

T

T

T

T

T

µ µ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

222 222 222 222 222 222 222 213 211 208 206 203 217 216 203 198 193 187 180 214 212 190 183 174 163 151 209 205 180 170 158 145 131 205 201 172 160 146 131 116 202 196 164 151 136 120 103 199 193 157 143 127 110 94 197 189 152 136 119 102 86 194 186 146 130 113 95 79 192 183 141 124 107 89 73 190 180 137 119 101 84 68 188 178 133 115 97 79 64 186 175 129 111 93 75 60 185 173 125 107 89 72 57 183 171 122 103 85 68 54 181 169 119 100 82 65 51 180 167 116 97 79 63 48 178 165 115 96 78 61 47 178 164 114 95 77 60 47 177 164 113 94 76 60 46 177 163 112 93 75 59 45 176 162 111 92 74 58 44 176 162 110 91 73 57 43 175 161 109 90 72 56 43 175 160 108 89 71 55 42 174 160 107 88 70 54 41 174 159 106 87 69 54 41 173 158 105 86 69 53 40 173 158 105 86 68 53 40 173 158 104 85 68 52 40 172 157 104 85 67 52 39 172 157 104 85 67 52 39 172 157 103 84 67 51 39 172 156 103 84 66 51 38 171 156 102 83 66 51 38 171 156 102 83 65 50 38 171 156 102 82 65 50 38 171 155 101 82 65 50 37 170 155 101 82 64 49 37 170 155 100 81 64 49 37 170 154 100 81 64 49 37 170 154 100 80 63 48 36 169 154 99 80 63 48 36 169 154 99 80 63 48 36 169 153 98 79 62 47 36 169 153 98 79 62 47 35 169 153 98 79 62 47 35 168 152 97 78 61 47 35 168 152 97 78 61 46 35 168 152 97 78 61 46 34 168 152 96 77 60 46 34 167 151 96 77 60 46 34 167 151

(50)

95 77 60 45 34 167 151 95 76 59 45 33 167 151 95 76 59 45 33 167 150 94 76 59 44 33 166 150 94 75 58 44 33 166 150 94 75 58 44 33 166 149 93 75 58 44 32 166 149 93 74 57 43 32 166 149 93 74 57 43 32 165 149 92 74 57 43 32 165 148 92 73 57 43 32 165 148 92 73 56 42 31 165 148 91 73 56 42 31 165 148 91 72 56 42 31 164 147 91 72 56 42 31 164 147 90 72 55 42 31 164 147 90 71 55 41 30 164 147 90 71 55 41 30 164 146 90 71 54 41 30 163 146 89 71 54 41 30 163 146

(51)

48 49 50 51 52 53 54

A=

A=

00..7733551122

00..7777559966

00..88116688

00..8855776644

00..8899884488

00..9933993322

00..998800116B

6B =

=

C

CU

UR

RV

VA

A 33

C

CU

UR

RV

VA

A 44

C

CU

UR

RV

VA

A 55

C

CU

UR

RV

VA

A 66

C

CU

UR

RV

VA

A 77

C

CU

UR

RV

VA

A 88

C

CU

UR

RV

VA

A 99

T

T

T

T

T

T

T

T

T

T

T

T

T

T

µ µ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

222 222 222 222 222 222 222 215 214 212 210 208 205 202 209 206 202 197 192 185 178 201 196 189 181 172 161 149 195 187 178 168 156 143 128 189 180 170 157 144 129 113 184 174 162 148 133 117 101 180 168 155 140 124 107 91 176 163 149 133 117 99 83 172 159 144 127 110 93 76 169 155 139 122 104 87 71 165 151 134 117 99 82 66 162 147 130 112 94 77 62 159 144 126 108 90 73 58 157 140 123 104 86 69 54 154 137 119 101 83 66 52 152 135 116 97 79 63 49 150 132 113 94 76 60 47 149 131 112 93 75 59 46 148 130 111 92 74 58 45 147 129 110 91 73 57 44 146 128 109 90 72 57 43 145 127 108 89 71 56 42 144 126 107 88 70 55 42 144 125 106 87 69 54 41 143 124 105 86 68 53 40 142 123 104 85 68 52 40 141 123 103 84 67 52 39 141 122 103 84 66 51 39 141 122 102 83 66 51 38 140 121 102 83 66 51 38 140 121 101 82 65 50 38 139 120 101 82 65 50 38 139 120 100 82 64 49 37 139 120 100 81 64 49 37 138 119 100 81 64 49 37 138 119 99 80 63 48 36 138 118 99 80 63 48 36 137 118 98 80 62 48 36 137 118 98 79 62 48 36 137 117 98 79 62 47 35 136 117 97 78 61 47 35 136 117 97 78 61 47 35 136 116 96 78 61 46 35 135 116 96 77 60 46 34 135 115 96 77 60 46 34 135 115 95 77 60 45 34 134 115 95 76 59 45 34 134 114 95 76 59 45 33 134 114 94 75 59 45 33 133 114 94 75 58 44 33 133 113 93 75 58 44 33 133 113 93 74 58 44 32

(52)

132 113 93 74 57 44 32 132 112 92 74 57 43 32 132 112 92 73 57 43 32 131 112 92 73 57 43 32 131 111 91 73 56 42 31 131 111 91 72 56 42 31 131 111 91 72 56 42 31 130 110 90 72 55 42 31 130 110 90 72 55 42 31 130 110 90 71 55 41 30 129 109 89 71 55 41 30 129 109 89 71 54 41 30 129 109 89 70 54 41 30 128 108 88 70 54 40 30 128 108 88 70 54 40 30 128 108 88 69 53 40 29 128 107 88 69 53 40 29 127 107 87 69 53 39 29 127 107 87 69 53 39 29 127 107 87 68 52 39 29

(53)

55 56 57 58 59 60 61

44..9900223377

77

00..6655334444

00..6699442288

00..7733551122

00..7777559966

00..88116688

00..8855776644

00..8899884488

C

CU

UR

RV

VA

A 11

C

CU

UR

RV

VA

A 22

C

CU

UR

RV

VA

A 33

C

CU

UR

RV

VA

A 44

C

CU

UR

RV

VA

A 55

C

CU

UR

RV

VA

A 66

C

CU

UR

RV

VA

A 77

T

T

T

T

T

T

T

T

T

T

T

T

T

T

µ µ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

222 222 222 222 222 222 222 217 216 215 213 212 210 207 213 211 208 205 201 196 191 208 205 200 194 188 179 170 205 200 193 186 177 166 154 201 195 188 179 168 155 141 198 191 183 172 160 146 131 196 188 178 166 153 138 122 193 185 174 161 147 131 114 191 182 170 157 141 125 107 189 179 167 152 136 119 101 187 176 163 148 132 114 96 185 174 160 145 128 110 92 183 171 157 141 124 105 87 181 169 155 138 120 102 84 180 167 152 135 117 98 80 178 165 150 132 114 95 77 177 163 147 129 111 92 74 176 162 146 128 110 91 73 176 162 145 127 108 90 72 175 161 145 126 107 89 71 174 160 144 125 106 87 70 174 160 143 124 105 86 69 173 159 142 124 104 85 68 173 158 141 123 103 85 67 172 158 140 122 102 84 66 172 157 140 121 101 83 65 171 156 139 120 101 82 65 171 156 139 120 100 81 64 171 156 138 119 100 81 64 170 155 138 119 99 80 63 170 155 137 118 99 80 63 170 155 137 118 98 80 63 170 154 137 117 98 79 62 169 154 136 117 98 79 62 169 154 136 117 97 78 61 169 153 136 116 97 78 61 169 153 135 116 96 78 61 169 153 135 116 96 77 60 168 152 134 115 95 77 60 168 152 134 115 95 76 60 168 152 134 114 95 76 59 168 152 133 114 94 76 59 167 151 133 114 94 75 59 167 151 133 113 94 75 58 167 151 132 113 93 75 58 167 150 132 113 93 74 58 166 150 132 112 92 74 57 166 150 131 112 92 74 57 166 150 131 111 92 73 57 166 149 131 111 91 73 56 166 149 130 111 91 72 56 165 149 130 110 91 72 56

(54)

165 149 130 110 90 72 56 165 148 130 110 90 71 55 165 148 129 109 90 71 55 164 148 129 109 89 71 55 164 147 129 109 89 71 54 164 147 128 108 89 70 54 164 147 128 108 88 70 54 164 147 128 108 88 70 54 163 146 127 107 88 69 53 163 146 127 107 87 69 53 163 146 127 107 87 69 53 163 146 127 106 87 68 52 163 145 126 106 86 68 52 162 145 126 106 86 68 52 162 145 126 106 86 67 52 162 145 125 105 85 67 51 162 144 125 105 85 67 51 162 144 125 105 85 67 51 161 144 125 104 85 66 51 161 144 124 104 84 66 50

(55)

62 63 64 65 66 67 68

A

A=

=

55..112255220055

88

00..9933993322

00..998800116B

6B =

=

00..6655334444

00..6699442288

00..7733551122

00..7777559966

00..88116688

C

CU

UR

RV

VA

A 88

C

CU

UR

RV

VA

A 99

C

CU

UR

RV

VA

A 11

C

CU

UR

RV

VA

A 22

C

CU

UR

RV

VA

A 33

C

CU

UR

RV

VA

A 44

C

CU

UR

RV

VA

A 55

T

T

T

T

T

T

T

T

T

T

T

T

T

T

µ µ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

222 222 222 222 222 222 222 204 201 217 216 215 213 211 184 176 213 211 208 204 200 159 147 208 204 199 193 186 140 126 204 199 192 185 175 126 110 200 194 186 177 166 114 98 197 190 181 170 158 105 88 195 187 177 165 151 97 81 192 183 172 159 145 90 74 190 180 168 155 139 84 68 188 177 165 150 134 79 64 186 175 161 146 129 75 59 184 172 158 142 125 71 56 182 170 155 139 121 67 53 180 167 153 136 118 64 50 178 165 150 133 114 61 47 177 163 147 130 111 58 45 175 161 145 127 108 57 44 175 160 144 126 107 56 43 174 160 143 125 106 55 42 173 159 142 124 105 55 42 173 158 141 123 104 54 41 172 158 141 122 103 53 40 172 157 140 121 102 52 39 171 156 139 120 101 51 39 171 155 138 119 100 51 38 170 155 137 118 99 50 38 169 154 137 118 98 49 37 169 154 136 117 98 49 37 169 153 136 117 97 49 37 169 153 135 116 97 48 36 168 153 135 116 96 48 36 168 153 135 115 96 48 36 168 152 134 115 96 47 36 168 152 134 115 95 47 35 167 152 134 114 95 47 35 167 151 133 114 94 46 35 167 151 133 113 94 46 34 167 151 132 113 93 46 34 166 150 132 113 93 45 34 166 150 132 112 93 45 34 166 150 131 112 92 45 33 166 149 131 112 92 45 33 165 149 131 111 92 44 33 165 149 130 111 91 44 33 165 149 130 110 91 44 33 165 148 130 110 90 43 32 165 148 129 110 90 43 32 164 148 129 109 90 43 32 164 147 129 109 89 43 32 164 147 128 109 89 42 31 164 147 128 108 89 42 31 163 147 128 108 88

(56)

42 31 163 146 127 108 88 42 31 163 146 127 107 88 41 31 163 146 127 107 87 41 30 163 146 127 107 87 41 30 162 145 126 106 87 41 30 162 145 126 106 86 40 30 162 145 126 106 86 40 30 162 144 125 105 86 40 29 161 144 125 105 85 40 29 161 144 125 105 85 40 29 161 144 124 104 85 39 29 161 143 124 104 84 39 29 161 143 124 104 84 39 29 160 143 124 103 84 39 28 160 143 123 103 83 38 28 160 142 123 103 83 38 28 160 142 123 102 83 38 28 160 142 122 102 82 38 28 159 142 122 102 82 38 28 159 141 122 102 82

(57)

69 70 71 72 73 74 75

A

A=

=

55..3344880044

99

00..8855776644

00..8899884488

00..9933993322

00..998800116B

6B =

=

00..6655334444

00..6699442288

00..7733551122

C

CU

UR

RV

VA

A 66

C

CU

UR

RV

VA

A 77

C

CU

UR

RV

VA

A 88

C

CU

UR

RV

VA

A 99

C

CU

UR

RV

VA

A 11

CU

C

UR

RV

VA

A 22

C

CU

UR

RV

VA

A 33

T

T

T

T

T

T

T

T

T

T

T

T

T

T

µ µ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

µµ

s/ft

s/ft

222 222 222 222 222 222 222 209 207 204 200 217 216 214 195 189 183 175 212 210 207 178 168 157 144 207 203 198 164 152 138 123 203 198 191 153 139 124 108 200 193 185 144 128 112 96 196 189 180 136 119 102 86 194 185 175 128 111 95 78 191 182 171 122 105 88 72 189 179 167 117 99 82 66 186 176 163 112 94 77 62 184 173 159 107 89 72 58 182 170 156 103 85 69 54 180 168 153 99 81 65 51 178 166 150 96 78 62 48 177 163 148 92 75 59 46 175 161 145 89 72 56 43 174 159 143 88 71 55 42 173 159 142 87 70 55 42 172 158 141 86 69 54 41 172 157 140 85 68 53 40 171 156 139 84 67 52 39 171 156 138 83 66 51 39 170 155 138 82 65 50 38 169 154 137 81 64 50 37 169 153 136 80 63 49 37 168 153 135 79 63 48 36 168 152 134 79 62 48 36 167 152 134 79 62 47 36 167 151 134 78 61 47 35 167 151 133 78 61 47 35 167 151 133 77 61 46 35 166 150 132 77 60 46 34 166 150 132 77 60 46 34 166 150 132 76 60 45 34 166 150 131 76 59 45 34 165 149 131 75 59 45 33 165 149 131 75 58 44 33 165 149 130 75 58 44 33 165 148 130 74 58 44 33 164 148 129 74 57 44 32 164 148 129 73 57 43 32 164 147 129 73 57 43 32 164 147 128 73 56 43 32 163 147 128 72 56 42 32 163 146 128 72 56 42 31 163 146 127 72 55 42 31 163 146 127 71 55 42 31 162 146 127 71 55 41 31 162 145 126 71 55 41 30 162 145 126 70 54 41 30 162 145 126 70 54 41 30 162 144 125

(58)

70 54 40 30 161 144 125 69 53 40 30 161 144 125 69 53 40 29 161 144 125 69 53 40 29 161 143 124 68 53 39 29 160 143 124 68 52 39 29 160 143 124 68 52 39 29 160 143 123 67 52 39 28 160 142 123 67 51 39 28 160 142 123 67 51 38 28 159 142 122 67 51 38 28 159 141 122 66 51 38 28 159 141 122 66 50 38 28 159 141 121 66 50 37 27 158 141 121 65 50 37 27 158 140 121 65 50 37 27 158 140 121 65 49 37 27 158 140 120 65 49 37 27 158 140 120 64 49 36 27 157 139 120 64 49 36 26 157 139 119

Figure

Actualización...

Referencias

Actualización...