Ejercicios de Correlaciones de Fluido. jercicio: 1
Datos: Rs(Pc/Bbl) 350 Tr(ºF) 200 GEg 0.75 ºAP = 30 Pr(Ps!) 3000 1) Cálculo de la Geo :
GEo =
5) Cálculo de la Rs:
0.87616
Rs (c!"#l) 606.8$6%7
&) Cálculo de la # :
#(si)
6) Cálculo de la 'o aurado (& Fases):
= 18$0.*1
'o (+#!c) = %7.%1%106
*) Cálculo ,o aurado ( & ases):
7) Cálculo de la Co aurado (& ases):
,o ("#l ("#l!"F) !"F)= = 1.&&10 1.&&101 1 %) Cáculo de ,o #ajo aurado (1 ase):
A
=
,o# ("#l!"F)= 1.&0&8
0.032533
a" = a2 = a3 = a& = a5 =
".02##3$ 0.000"553 %%% #2&00 "3.#
Co (si -1) =1.786887$
8) Cálculo de la 'o u# aurado (1 Fase):
'o# (+#!c) (+#!c) = %6.707 $) Cálculo de la Co u# aurado (1Fase):
Co ( (sisi-1) 1) = 1.% 1.%E-0 E-05 5 10) Cálculo de la od/ Correlacin de "eal4s :
a+ =
5."0""33232&
od o d (Cs (Cs)) = 7$ 7$.8 .88% 8%
od o d (Cs (Cs)) = &. &.6% 6%*$ *$1 1
'= = c= b= a=
".30 0.3$5 0.030"7 0.7&0&325#2 *0.23205
o# (Cs) = 1.&0*$1*% 1*) Cálculo de o/ Correlacin de "eal (erleo
o (Cs (Cs)) = 1.& 1.&865 865*$7 *$7
11) Correlacin "es - Ro#inson (erleo uero):
,= -= =
1&) Cálculo de o#/ Correlacin Ce2 Connall3 (
2.&255 2##.3700#$ 0.5#"5#7#32
erleo aurado):
u# aurado) :
Ejercicio de oenciales/ Relacin del ndice de roduci9idad 3 Cooraineo Ejercicio : & R'sol'r or los 1toos ' Darc- - Blo4t Gla,' ara Datos ' R's'ror!o
Datos : 6ro = 6 () = 8 (Ft)'s'sor = Tr (ºF) = GEg = 9'r = 8/2 (Ft) = G;R < Rs (Pc/Bbl) = Esac!a!'4to(Acr's)= as!4g (Plg) = B!t (Plg) = ºAP = Pr (Ps!) =
0.25 30 &0 200 0.7 20 300 #0 7 $ "/2 30 3000
(º R) = ##0
r> (Ft) =
0.2"###7
1?T;D; DE DAR@ ;eerinacin de la #/ GEo 3 re :
Pb (Ps!) =
"75.57"""
os '4co4traos co4 4 -ac!!'4to B!s!co -a C' la Pr Pb GEo =
0.$7#"#0
r' (Ft) =
"2."0&555
Cálculos ara la consruccin del <R : Rein "iásica
lclo ' la o orr'lac!<4 ' B'al+s: a+ =
5."0""332
o(cs) = 2.3273#5 lclo ' la ob orr'lac!<4 ' B'ggs*Rob!4so4: a3 Pb = 0.&$70"33 a& Rs& = 0.#"$33"5 a5 Rs5 = 0.7#37#$3 a# Rs# = 0.$&3335"
b3 Pb = b& Rs& = b5 Rs5 = b# Rs# =
0.#$&2$ 0.7$7$$$$ 0.$$0&333 0.3270
Rein onoásica
lclo ' o BaHo satrao: A = º 1o4os!ca
" 2 3 &
P> (Ps!) As!a 3000 2500 "7#0 "000
0.030#23 ob (cs) 0.&503"03 0."7#&75 0.$770## ".20&"$&"
o (Bbl/BF) Rs (Pc/Bbl) "."73#"0& "."$0"$"2 "."23&2 "."2050"
Io (BPD) alclao 300 0 300 537.&$ 300 "37.##$ "53.$& "$07.$03
o4strcc!<4 'l PR:
) i s P ( n ó i s e r P
IPR 3500 3000 2500 2000
Qo (BPD) Calculado
1500 1000 500 0 0
537.48
1379.668 1807.803 2221.827 2579.091 Caudal (BPD)
1?T;D; DE BJK;T GJALE A'cac!<4 ' las MEcac!o4's aara las r'g!o4's 1o4os!ca - B!s!ca : (" as')=
305&373
(2 as's) = 2.07"EN0 º
P> (Ps!) As!a
ob (cs)
o (Bbl/BF) Rs (Pc/Bbl) Oo(Jb/Pc)
B
A
caal Io(BPD)
& 5 #
"000 ".20&"$&" "."20&$" "53.$35"3 500 ".#0#$0"2& ".0372 #$.7&""0$ "&.7 2.27722$3 ".0#7#"# 3."0&57"
&.52 3.5$#& 0.000"03"02 50.&& &.#70"$ .$5&2E*05 5"."& #.037#&0" .520&"E*05
o4strcc!<4 'l PR:
) i s P ( n ó i s e r P
IPR 3500 3000 2500 2000
caudal Qo(BPD)
1500 1000 500 0 0
23.19
37.15
60.74
Caudal Qo(BPD)
83.88
106.12
#0.7& $3.$$ "0#."2
Ejercicio : * R'sol'r or los 1toos ' Darc- - Blo4t Gla,' ara Datos ' R's'ror!o
Datos : 6ro = 6 () = 8 (Ft)'s'sor = Tr (ºF) = GEg = 9'r = 8/2 (Ft) = G;R < Rs (Pc/Bbl) = Esac!a!'4to(Acr's) as!4g (Plg) = B!t (Plg) = ºAP = Pr (Ps!) =
0.25 30 &0 200 0.7 30 300 #0 7 $ "/2 30 3000
(º R) =
##0
r> (Ft) = 0.2"##7
1?T;D; DE DAR@ ;eerinacin de la #/ GEo 3 re : Pb (Ps!) = "75.57" os '4co4traos co4 4 -ac!!'4to B!s!co -a C' la Pr Pb GEo =
0.$7#"#"
r' (Ft) =
"2."0
Cálculos ara la consruccin del <R : Rein "iásica
lclo ' la o orr'lac!<4 ' B'al+s: a+ = 5."0""33 o(cs)
2.32737
lclo ' la ob orr'lac!<4 ' B'ggs*Rob!4so4: a3 Pb = 0.&$70" a& Rs& 0.#"$3 a5 Rs5 0.7#37$ a# Rs# 0.$&3#
b3 Pb = 0.#$&3 b& Rs& 0.7$7$3 b5 Rs5 0.$$0&&5 b# Rs# 0.32$3
Rein onoásica
lclo ' o BaHo satrao: A =
1o4os!ca B!s!ca
º P> (Ps!) As!a " 3000 2 2500 3 "7#0 & "000 5 500
0.030#23 ob (cs) o (Bbl/BF)Rs (Pc/Bbl) Io (BPD) alclao 0.&503" "."73#" 300 0 0."7#&$ "."$0"$" 300 537.&77 0.$7707 "."23& 300 "37.##$ ".20&2 "."20&$ "53.$35" "$07.77 ".#0#$#" ".03725 #$.7&""" 222".$07
#
"&.7 2.27$00$ ".0#7#2 3."0&57" 257.05$
o4strcc!<4 'l PR: ) i s P ( n ó i s e r P
IPR 3500 3000 2500 2000 1500 1000 500 0 0
537.48 1379.6681807.8032221.8272579.091 Caudal (BPD)
1?T;D; DE BJK;T GJALE ac!<4 ' las MEcac!o4's aara las r'g!o4's 1o4os!ca - B! (" as')=3."EN0$ º P> (Ps!) As!a " 3000 2 2500 3 "7#0 & "000
(2 as's) 2.07"EN0
ob (cs) o (Bbl/BF)Rs (Pc/Bbl) Oo(Jb/Pc) 0.&503" 0."7#&$ 0.$7707 ".20&2
"."73#" 300 "."$0"$" 300 "."23& 300 "."20&$ "53.$35"
&7."$7"& .3772 &7.#&0 &.5"3&
B
A
0.5252& 2.22&E*0# 0.30"#$7 2.2"E*0# 0.$$#7"# 2.33#E*0# 3.5$#& &.5$2E*05
caal Io(BPD) 0 23."$&$& 37."&5$5 #0.733&
5 #
500 ".#0#$#" ".03725 #$.7&""" 50.&330" &.#70$2 &.37E*05 $3.$#$2 "&.7 2.27$00$ ".0#7#2 3."0&57" 5"."30$7 #.037$#5# &.23"E*05 "0#."0&"
o4strcc!<4 'l PR:
) i s P ( n ó i s e r P
IPR 3500 3000 2500 2000
caudal Qo(BPD)
1500 1000 500 0 0
23.19
37.15
60.74
Caudal Qo(BPD)
83.88
106.12
Ejercicio : % R'sol'r or los 1toos ' Darc- - Blo4t Gla,' ara Datos ' R's'ror!o
Datos : 6ro = 6 () = 8 (Ft)'s'sor = Tr (ºF) = GEg = 9'r = 8/2 (Ft) = GR < Rs (Pc/Bbl) = Esac!a!'4to(Acr's) as!4g (Plg) = B!t (Plg) = ºAP = Pr (Ps!) =
0.2 20 20 $5 (º R) = 5&5 0.77 "0 #2.5$7 50 7 r> (Ft) = 0.2"##7 $ "/2 53.5 "5& 1?T;D; DE DAR@ ;eerinacin de la #/ GEo 3 re : Pb (Ps!) = "53.7
os '4co4traos co4 4 -ac!!'4to o4oas!co -a C' la Pr P GEo =
0.7#&$#
r' (Ft) = $32.#3& Cálculos ara la consruccin del <R : Rein "iásica lclo ' la o orr'lac!<4 ' B'al+s: a+ = o(cs)
3.$52"3
".&&2#3
lclo ' la ob orr'lac!<4 ' B'ggs*Rob!4so4: a" Pb = 0.77$5& a2 Rs2 0.7$27 a3 Rs3 0.$0&2& 0.$3$$3 a4 @ Rs4 = 0.$#3&2 a5@ Rs5 0.02&$ Rein onoásica a6@Rs6 a7 Rs7 0.2#5 0.50# a8@ Rs8 lclo ' o BaHo satrao:
b1@ Pb =
b2 Rs2 b3 Rs3 b& Rs& b5 Rs5 b# Rs# b7 Rs7 b$ Rs$ A =
0.$$$7 0.$"355 0.03&7 0.222$7 0.35"$# 0.5&$$ 0.#$055 0.775#
0.00"""
º P> (Ps!) ob (cs)o (Bbl/BF)Rs (Pc/Bbl) Io (BPD) As!a alclao " "5&.00 ".07$37 ".032&# #2.5$7 0 2 "50.00 ".0$50$ ".03"$23 #0."&53 ".&03&" 3 "30.00 ".""" ".02$5"5 52.#507 .5"$#"
) i s P ( n ó i s e r P
I 180.00 160.00 140.00 120.00
& 5 # 7 $
"00.00 $0.00 50 30 "&.7
"."7#"5 ".2"#37 ".2$0# ".3255& ".3#0
".02377 ".0207$# ".0"#575 ".0"3$3 ".0"2"&2
&0.####" 32.0#& 22.0&3$& "5.2"2$7 "0.3"30&
. 80.00 60.00 40.00 20.00 0.00
27.2"&$$ 50.#3&$5 $2.02$03 ""$.2$" "5$.0355
0
1.40394105 9.5918605 77 08 Caudal (BPD)
1?T;D; DE BJK;T GJALE ac!<4 ' las MEcac!o4's aara las r'g!o4's 1o4os!ca - B! (" as') #.3#EN0$
(2 as's) &.&07EN0
º P> (Ps!) ob (cs)o (Bbl/BF)Rs (Pc/Bbl) Oo(Jb/Pc) As!a " "5& ".07$3$ ".032&# #2.5$7 &$.3#205 & "50 ".0$50$ ".03"$23 #0."&53 &$.3&552 5 "30 ".""" ".02$5"5 52.#507 &$.2#35 # "00 "."7#"5 ".02377 &0.####" &$."&35& # $0 ".2"#37 ".0207$# 32.0#& &$.0##07
A
B
2.$3202 "&.2&32## "&.#5332& "5.3"$3&$ "5.75$$
2.5$5E*05 0.000"7$$# 0.000"77&" 0.000"753& 0.000"7&0&
caal Io(BPD) 0 0.2$0$33 ".#37$2" 3.5250&2 &.#$&52&
# # #
50 ".2$0# ".0"#575 22.0&3$& &7.5&75 "#.5#"37 0.000"722" #.272# 30 ".3255& ".0"3$3 "5.2"2$7 &7.$$&77 "7.0$$" 0.000"7"0$ 7.25"&&" "&.7 ".3#0 ".0"2"&2 "0.3"30& &7.$3&35 "7.5"75"# 0.000"702$ 7.5"&2#
o4strcc!<4 'l PR: ) i s P ( n ó i s e 180 r P
IPR
160 140 120 100 80 60 40 20 0
f() = ! 6.5"2 # 14.3 # 146.5 R$ = 0.9990147783
0
0.2808334798Caudal 1.6378212128 3.5250420159 Qo(BPD)
caudal Qo(BPD)
R
Qo (BPD) Calculado
27.2148785 14
Ejercicio : 5 R'sol'r or 'l 1too ' Blo4t Gla,' ara atos ' r'ba - F'tcQo!c8
Datos: Pr(Ps!) = &250 Al!ar 'l Bal'o 'l Tr!l' 1?T;D; DE BJK;T GJALE Pr'ba " 2 3 &
o Q / ) w f P r P (
Io(BPD) &27 5#& #35 7"2
P>(s!) 2#25 205 "75$ "&25
(Pr*P>)/Io 3.$" 3.$ 3.3 3.7
Gráfica para hallar "C" 4 3.95 3.9 Qo(BPD)
3.85 3.8 3.75
C = 3%78
Qo(BPD)
o'c!'4t' ' Trbl'
D= DS = c=
0.0005#"&0& 0.000"$7"35 3.57"
Io(BPD) 0 333 57$ $0$ "022
Bal'o al!ao Io(BPD) 0 3&& #"" $7" ""2"
o'c!'4t' Ja!4ar
P>(s!) &250 3000 2000 "000 "&.7
Grca 'l PR: Gráfico del IPR ) i s P ( w f P
4500 4000 3500 3000 2500 2000 1500 1000 500 0
Qo(BPD) Bal&o a'lado Qo(BPD)
0
200
400
600
800
Caudal Qo (BPD)
1000 1200
PrU2(Ps!)= "$0#2500 Pr'ba
Io(BPD) P>(s!) " &27 2 5#& 3 #35 & 7"2
2#25 205 "75$ "&25
Pr2*P>2 """7"$75 "3$230" "&7"3# "#03"$75
V! 0/5=n=1 s! 'sta '4tro ' 'st' ra4go s' 'o r'al!,ar 'l 'too ' F'tQo!c8
4=
".&"5#23 >oa:4o s''' al!car 'l 'too orC' 'sta 'ra ' ra4go
) ' & i s P ( ' & w f P ' & r P
A;F(BPD)= 70
!"odo #e"$o%ich 100000000
Qo(BPD)
10000000
1000000 427
564
635
Caudal Qo (BPD)
712
Ejercicio : 6 R'sol'r or 'l 1too ' Blo4t Gla,' ara atos ' r'ba - F'tcQo!c8
Datos: Pr(Ps!) = 3000 Al!ar 'l Bal'o 'l Dobl' 1?T;D; DE BJK;T GJALE Pr'ba " 2 3 &
Io(BPD) &00 "000 "3&0 "#00
P>(s!) 2$20 2"75 "#0# "0$0
(Pr*P>)/Io 0.&5 0.$25 ".0& ".2
o'c!'4t' Ja!4ar
P>(s!) 3000 2000 "000 "&.7
c=
0.2
Bal'o al!ao Io(BPD) Io(BPD) 0 0 """5 "&$ "#3# 2230 2032 27$$
Grca 'l PR: Gráfica del IPR ) i s P ( w f P
3500 3000 2500
Qo(BPD)
2000
Bal&o a'lado Qo(BPD)
1500 1000 500 0 0
500
1000 1500 2000 2500 3000 Caudal Qo (BPD)
1?T;D; FET6;9 PrU2(Ps!) Pr'ba
000000 P>(s!)
Pr2*P>2
Io(BPD)
3 &
"#0# "0$0
#&207#& 7$33#00
"&27 "#3#
V! 0/5=n=1 s! 'sta '4tro ' 'st' ra4go s' 'o r'al!,ar 'l 'too ' F'tQo!c8 4=
0.#$0& >oa: s' '' al!car 'l 'too orC' 'st '4tro 'l ra4go
A;F(BPD) "$00 ) ' & i s P (
c=
0.02075
' & w f P ' & r P
!"odo #e"c$o%ich 10000000 7833600 6420764 4269375
1047600 1000000 409
1077
1427
Caudal Qo (BPD)
1636
Ejercicio : 7 R'sol'r or 'l 1too ' Blo4t Gla,' ara atos ' r'ba - F'tcQo!c8
Datos: Pr(Ps!) = &3"3 Al!ar 'l Bal'o & 'c's 1?T;D; DE BJK;T GJALE Pr'ba " 2 3 &
Io(BPD) 527 &75 3&$ 25
P>(s!) 3335 3507 3$57 37&
(Pr*P>)/Io ".$5# ".#7 ".3"" "."5
2 1.8 1.6 C = 0%76
1.4 1.2 (Pr-Pwf)/Qo
1
0.8 0.6 0.4 0.2 295
348
Qo(BPD)
475
0 527
P>(s!) &3"3 3000 2000 "000 "&.7
Bal'o al!ao Io(BPD) Io(BPD) 0 0 #"7 ""5 $32 "5$# "003 "2$ ""&$ 22"7
Grca 'l PR: Gráfica del IPR ) i s P (
5000
w f P
4000 3000
Bal&o a'lado Qo(BPD)
2000
Qo(BPD)
1000 0 0
500
1000
1500
2000
2500
Caudal Qo (BPD)
1?T;D; FET6;9 PrW(Ps!)= "$#0"# Pr'ba
P>(s!)
Pr2*P>2
Io(BPD)
&
37&
2$023
7"$
V! 0/5=n=1 s! 'sta '4tro ' 'st' ra4go s' 'o r'al!,ar 'l 'too ' F'tQo!c8
4=
0.525" >oa: s' '' al!car 'l 'too orC' 'st '4tro 'l ra4go
A;F(BPD) 2200 c=
0."0$&27 *D* #+C,*-IC. 10000000
1000000 718
849
1159
Caudal Qo(BPD)
1283
) ' & f w P ' & r P (
<R C?@EA? Ejercicio : 8 alclar 'l PR o'sto ara los 'H'rc!c!os 2 - 3
Datos: Pr " (Ps!) 3000 Pr 2 (Ps!) &250
IP=
Qo Pr − Pwf
P> (Ps!) 3000 2000 "000 "&.7
Pwf ∗¿
Pr 2∗ IP 2 + Pr 1∗ IP 1
IP 2 + IP 1
caal P (BPD/Ps!) P> (Ps!) Io (BPD) P Io(BPD) (BPD/Ps!) 0 0 0.02 0.02& &250 2& 2& 0.02 0.02& 3000 #0.7& 0.03037 #0.7& 0.02 "000 "0#."2 0.0355&75 "0#."2 "&.7 0.03
P>X (Ps!) Io (BPD) o'sto o'sto 3555.5# 0 2&&&.&& &$ "000.00 "2".&$ "&.70 2"2.2&
P (BPD/Ps!) o'sto 0.0&32 0.0&32 0.0&75357 0.05&03
) i s P ( s s e r P
*P (BPD+Ps)
*P (BPD+Ps)
*P (BPD+Ps) Co'u&s,o
4500 4000 3500 3000 2500 2000 1500 1000 500 0 0
50
100 Qo (BPD)
150
200
250
Ejercicio : $ alclar 'l PR o'sto ara los 'H'rc!c!os & - a4t'r!or
Datos: Pr " (Ps!) = &3"3 Pr 2 (Ps!) = 323
IP=
Qo Pr− Pwf
P> (Ps!) &3"3 2000 "000 "&.7 P>X (Ps!)
Pwf ∗¿
Pr 2∗ IP 2 + Pr 1∗ IP 1
IP 2 + IP 1
caal P (BPD/Ps!) P> (Ps!) Io (BPD) P Io(BPD) (BPD/Ps!) 0 0.353220 323 0 5.7 $"7 0.353220 3000 "&2$ 5.7 $$ 0.2$2"" "000 2&"$ ".0$ ""33 0.2#352# 302# 0.& "&.7 Io (BPD) P (BPD/Ps!)
o'st o'st o'sto o o 32$.5 0 #.32$""#3 2&&."$ 22&5 #.32$""#3 "000.00 3&0# ".&$"5&7" "&.70 &"5 ".2##3&7#
) i s P ( s s e r P
*P (BPD+Ps)
*P (BPD+Ps)
*P (BPD+Ps) Co'u&s,o
5000 4000 3000 2000 1000 0 0
500
1000
1500
2000
2500
Qo (BPD)
3000
3500
4000
4500
Ejercicio : 10 alclar 'l PR o'sto ara los 'H'rc!c!os 5 - #
Datos: Pr " (Ps!) 3000 Pr 2 (Ps!) 3000
IP=
Qo Pr − Pwf
P> (Ps!) 3000 2500 "000 "&.7
Pwf ∗¿
Pr 2∗ IP 2 + Pr 1∗ IP 1
IP 2 + IP 1
caal P P> (Ps!) Io (BPD) P 'l R2 Io(BPD) R"(BPD/Ps! (BPD/Ps!) ) 0 "."022& 0 ".0 3000 55"."2 "."022& 5&5 ".0 2500 "$5& "$&& 0.2 0.27 "000 2#&& 0.$$5#73" 2#3& 0.$$ "&.7
P>X (Ps!) Io (BPD) P o'st o'st o'st o o o 3000.00 0 2."22& 2500.00 "0#."2 2."22& "000.00 3#$ ".$& "&.70 527$ ".7#7#5
) i s P ( s s e r P
*P R1(BPD+Ps) *P (BPD+Ps) Co'u&s,o
*P d&l R2 (BPD+Ps)
3500 3000 2500 2000 1500 1000 500 0 0
1000
2000
3000 Qo (BPD)
4000
5000
6000
Ejercicio : 11 alclar 'l PR o'sto ara los 'H'rc!c!os 7 - 'l a4t'r!or
Datos: Pr " (Ps!) 3500 Pr 2 (Ps!) &500
Qo IP= Pr− Pwf P> (Ps!) 3500 2000 "000 "&.7
Pwf ∗¿
caal Io(BPD) 0 30 $2 "#2
Pr 2∗ IP 2 + Pr 1∗ IP 1
IP 2 + IP 1
P P> (Ps!) Io (BPD) P (BPD/Ps!) (BPD/Ps!) 0 0.02 0.02 &250 2& 0.02 0.02 3000 #0.7& 0.02 0.032$ "000 "0#."2 0.03 0.0&$0 "&.7
Ejercicio : 1& alclar 'l PR o'sto ara 2 r's'ror!os
Datos: Pr " (Ps!) 3000 Pr 2 (Ps!) &3"3
Qo IP= Pr− Pwf P> (Ps!) 3000 "7#0 "500 "000 0
Pwf ∗¿
caal Io(BPD) 0 "37" "7$5 "23 2"
Pr 2∗ IP 2 + Pr 1∗ IP 1
IP 2 + IP 1
P P> (Ps!) Io (BPD) P (BPD/Ps!) (BPD/Ps!) 0 0.5# "."05#&52 &3"3 500 0.5# "."05#&52 3&" 750 0.3 "." 2&0# "000 0.30 0.#"5 "0"# ""50 0.27 0.733 0
Ejercicio : 1* alclar 'l PR o'sto ara 2 r's'ror!os
Datos: Pr " (Ps!) 2200 Pr 2 (Ps!) 300
Qo = IP Pr− Pwf P> (Ps!) 2200 "500 "000 500 0
caal Io(BPD) 0 "&5" 2&$7 3523 &55
Pwf ∗¿
Pr 2∗ IP 2 + Pr 1∗ IP 1
IP 2 + IP 1
P (BPD/Ps!) P> (Ps!) Io (BPD) 2.072$57"& 2.072$57"& 2.0725 2.072352& 2.07227273
300 3000 2000 "000 0
0 3&2 &5 575 #00
P (BPD/Ps!) 0.3$ 0.3$ 0.2# 0.20 0."5
<R BRB ?? D?R<?>AB+E Ejercicio : 1% Datos:
6ro= Q= 8= Tºr= VGg = 8 = RGP=
0.25 30 &0 220 0.7 20 300
r> (t) = ".25337 r' = "000 t sg = 7S b!t = $ "/2 S ºAP = 30 Pr = 3000 s! J = 200 t 68 = 30
t YF t Pc/Bbl
;eerinacin de la # 3 GEo :
[( )
Pb=18.2∗ Pb (Ps!)
Rs SGg
"$35.#7
0.83
10
∗
10
0.00091∗( Tr − 460 ) 0.0125∗ °API
−1 . 4
]
o(cs) ".$"&57 a3 Pb a& Rs& a5 Rs5 a# Rs#
0.&$70" 0.3$&$73 0.3$&$73 0.3$&$73
b3 Pb = 0.#$&3 b& Rs& 0.5755& b5 Rs5 0.5755& b# Rs# 0.5755&
lclo ' Rs:
[(
Rs= SGg∗
Pr 18.2
lclo 'l o : βo = 0 .
9759
]
1.2048
)
+1. 4 ∗100.0125∗° API −0.00091∗(Tr−460
[
(
SGg + 0 . 00 012∗ Rs∗ SGo
1. 2
¿ ¿ ¿¿ ¿ ¿
)
0. 5
]
+ 1 . 25∗( Tr − 460 )
#% = 0 . 1 0∗30 = 3
a=
& 2
{
∗
a=
0.5
+
[
0 . 25
+
(
r' &/2
)] 4
0. 5
"002.503
}
0 .5
#$∗$∗ (P
Qo =
{[
141 . 2∗ βo∗ μo∗ ln
Qo =
( a + √ a
2
+& / 2
& 2
2
)
]
(P ∗1. 462 μo∗ βo
Rein "iásica: Ia!"=
√
#$∗#ro #%
+
[(
Ia!"∗$ &
) ( *ln
Ia!"∗$ rw∗( Ia!" + 1 )
)]
}
Gr[ca 'l PR: Qo (BPD) Calculado ) i s P ( s e r P
-Qo (BPD) Calculado
3500 3000 2500
Q/.(BPD)
2000 1500 1000 500 0 0
1000
2000
3000 Qo( BPD)
4000
5000
6000
<R BRB ?? D?R<?>AB+E Ejercicio : 15 Datos:
6ro= Q= 8= Tºr= VGg = 8 = G;R =
0.2 30 30 220 0.7 "5 350
r> (t) = ".25337 r' = "000 t sg = 7S t b!t = $ "/2 S YF ºAP = 30 Pr = 3000 s! t J = 200 t Pc/Bbl 68 = 30
;eerinacin de la # 3 GEo :
[(
Pb = 1 8 . 2∗ Pb (Ps!) SGO =
Rs SGg
)
0.83
200 141 . 5 131 . 5+°
API
10
∗
10
0 . 00091∗( Tr− 460 ) 0 . 0125∗ ° API
−1 . 4
]
a# Rs# 0.3$& lclo ' Rs:
[(
Rs= SGg∗
Pr + 1. 4 18.2
lclo 'l o :
b# Rs# 0.5755&
]
1.2048
)
∗10 0.0125∗° API −0 . 00091 ∗(Tr− 460
[
(
βo = 0 . 9759 + 0 . 00012∗ Rs∗
SGg SGo
)
]
0. 5
+ 1 . 25∗( Tr − 460 )
1.2
¿ ¿ ¿¿ ¿ ¿
Rein onoásica lclo ' la o orr'lac!<4 ' B'al+s:
μo= μ ob + 0.001∗( P − Pb )∗( 0.024∗ μ ob lclo ' o BaHo satrao:
[
β ob= β ob∗ EXP − A ∗ !
( )] Pr Pb
1 .6
+ 0.038∗ μ ob 0.56 )
#$∗$∗ (P
Qo=
{[
141 . 2∗ βo∗ μo∗ ln
Qo=
( a +√ a
2
2
+& / 2
)
& 2
] [( +
Ia!"∗$ &
) ( *ln
Ia!"∗$ rw∗( Ia!" + 1 )
)]
}
(P ∗1. 462 μo∗ βo Rein "iásica: Ia!"=
√
#$∗#ro #%
#% = 0.10 ∗30 = 3
a=
& 2
{
∗
Qo =
[
0 . 5+ 0.25+
{[
1 4 1 . 2∗ βo ∗ μo∗ ln
Qo
(P
0.012
(
r' &/2
)
4
] } 0. 5
0 .5
#$ ∗#ro∗ $∗ (P
( a + √ a2 + & / 22 ) & 2
[] ( +
) (
Ia!" ∗$ Ia!"∗ $ *ln & rw∗( Ia!" + 1 )
)]
}
Qo (BPD)
<R BRB ?? D?R<?>AB+E Ejercicio : 16 Datos:
6ro= Q= 8= Tºr= VGg = 8 = ;R
0.3 35 &5 220 0.75 2" &00
t YF t Pc/Bbl
r> (t) = ".25337 r' = "2 t sg = 7S b!t = $ "/2 S ºAP = &0 Pr = &000 s! J = 200 t 68 = 30
;eerinacin de la # 3 GEo :
[(
Rs Pb = 1 8 . 2∗ SGg Pb (Ps!) SGO =
"#&$.23
141.5 131.5+° API
)
0.83
0 . 00091∗( Tr − 460 )
∗10 0.0125∗ °API 10
−1 . 4
]
lclo ' Rs:
[(
Rs= SGg∗
Pr + 1. 4 18.2
lclo 'l o :
]
1.2048
)
∗10 0.0125∗° API −0 . 00091 ∗(Tr− 460
[
(
βo =0 . 9759 +0 . 00012∗ Rs∗
SGg SGo
)
]
0. 5
+ 1 . 25∗( Tr − 460 )
1.2
¿ ¿ ¿¿ ¿ ¿
Rein onoásica lclo ' la o orr'lac!<4 ' B'al+s: μo= μ ob + 0.001∗( P − Pb )∗( 0.024∗ μ ob
1 .6
+ 0.038∗ μ ob 0 . 5 6 )
lclo ' o BaHo satrao:
[
β ob= β ob∗ EXP − A∗ ! −5
A =10
( )] Pr Pb
∗(−1.43 +5∗ RS +17.2∗( Tr − 460)− 1.18∗SGg +12.61∗° API )
A = 0.0373& cuacin de las ecuaciones ara las reiones onoásica 3
Ia!"=
a=
Qo=
& 2
√
#$∗#ro #%
{
∗
[
0 . 5+ 0 . 2 5+
(
r' &/2
)
4
] } 0. 5
0.5
#$∗#ro∗ $∗ (P
{[
141.2∗ βo∗ μo∗ ln
( a + √ a2 +& / 22) & 2
[] ( +
) (
Ia!"∗$ Ia!"∗ $ *ln & rw∗( Ia!" + 1 )
)]
}
(P Qo= ∗0.012 μo∗ βo
º
P> (Ps!) ob (cs) o (Bbl/BF s (Pc/Bbl)Io (BPD) ZP (Ps!) As!a alclao (Pr * P>) " &000 0.3#$ ".22037$ &00 0 0 2 2500 0.353 ".2&33$3 &00 #&.0"& "500 3 "#&$ 0 33$"5 " 2#&"&3 &00 "05#5 2352
XIo (BPD) alclao 0 75$7.""5$ "2$55 0#2
?iiacin.ercicio: 17 Kt!l!,ar 'l 1too ' og'l ara 'l lclo 'l PR - ;t!!,ar la tb'r\a ara 2S * 25S - 3S Datos:
Pr = Pb = P = RGP =
2200 Ps! "$00 Ps! " BPD/Ps! &00 Pc/Bbl
lclo 'l aal ' BrbHa: Ib (BPD) = &00 lclo 'l aal 1!o : A;F (BPD) = "&00 ;t!!,ac!<4 ' la tb'r\a 'rt!cal ' 2S - 8or!,o4tal ' 2 S * 25S - 3S Io (BPD) P> (Ps!) as!o calclao 0 2000
Pcab 2S *
P>X ZP s!st. P>X ZP s!st. P>X 2S 2S 25 S 25 S 3S * * * * *
ZP s!st. 3S *
;t!!,ac!<4 ' la tb'r\a 'rt!cal ' 25S - 8or!,o4tal ' 2 S * 25S - 3S Io (BPD) P> (Ps!) Pcab as!o calclao 25S 0 2000 * 200 2000 * &00 "$00 "25 #00 "50 "&5 $00 "350 "#0 "000 "0#$ "$0 "&00 0 * *PR ) i s P ( w f P
2500 2000 1500 1000 500
Pf- @ 2
P>X 2S * * $#0 50 "200 "220 * Pf- @ 2.5
P>X 25 S * * 720 $20 00 70 *
P>X 3S * * * * 7#0 $&0 *
Pf- @ 3
0
200
400
600
800 Qo (BPD)
1000
1200
1400
1600
?iiacin.Ejercicio: 18
Datos: 6ro = 0.25 6 () = 30 8 (t) = &0 Tº 200 º =(ºR) ##0 GEg = 0.7 8 (t) = 20 RGP (Pc/Bbl) = 300 Es (acr's) = #0 sg ( S ) = 7 B!t ( S ) = $.5 ºAP = 30 Pr (Ps!) = 3000
Tb. ( S ) = 2 Jo4g. (t) = 5000 Pro. (t) = 7000 r (t) = 0.02" rc (t) = 0.0#3 J = 0.$$3 Q () = "2
lclo 'l aal ' P'tr
a# Rs# 0.$&3335
b# Rs# 0.3270
Rein onoásica lclo ' o BaHo satrao:
A = º 1o4os!ca B!s!ca
0.030#23
P> (Ps!) ob (cs) o (Bbl/BF s (Pc/Bbl) As!a " 3000 0.&50075 "."73#" 300 2 2500 0."7#2&" "."$0"$" 300 3 "7#0 0.$770## "."23& 300 & "000 ".20&"$&" "."205 "53.$& 5 500 ".#0#$0"2 ".0372$ #$.75 # "&.7 2.27722$ ".0#7#22 3."" ;PT1LA] DE TKBER^AV
Io (BPD) alclao 0 552."$& "&"7.377 "$57.2"& 22$2.55& 2#&.5$2
P> (Ps!) Io (BPD) Pcab (Ps!) P>X (Ps!) ZP s!st (Ps!) As!a alclao 2S 2S 3000 Err:522 * * * 2500 Err:522 "$ "#5 535 "7#0 Err:522 2750 *0
Err:522
22.0$
"&.72
"".0&
3&.7$
255."5
Grca PR ZPbal'o:
) i s P ( 4000 n ó i s3500 e r P3000
2500 2000 1500 1000 500 0
Pf (Ps) su'da Pb@ 120 Pb@ 240
Pf- (Ps) 2 Pb@ 180
"$$.35
?iiacin de Coues.ercicio: 1$ ;t!!,ar ara c8oC's ' "2S * "&S * "#S * "$S - 20S Datos:
6ro = 0.2 Tb. ( S ) 2 6 () = 30 Jo4g. (t) 5000 8 (t) = 30 Pro. (t) 7000 Tº 200 ºF ##0 GEg = 0.7 8 (t) = "5 RGP (Pc/B 350 Es (acr' #0 sg ( S ) 7 B!t ( S ) = $.5 ºAP = 30 Pr (Ps!) = 3000 lclo 'l aal ' P'tr
200&
s '4co4traos co4 4 -ac!!'4to B!s!co -a C' la Pr
B!s!ca
5 #
500 "&.7
".#0#$0" ".0372$ 2.27723 ".0#7#22
#$.75 3.""
"&27.7" "#&$.00$
;PT1LA] DE TKBER^AV P> (Ps!) As!a 3000 2500 200& "000 500 "&.7
Io (BPD) Pcab (Ps!) P>X (Ps!) ZP s!st (Ps!) alclao 2S 2S 0 * * * &&5.#2 "#& "0"5 "&$5 0$.#$5 2$# 222 *225 ""72.5$7 375 2#"# *"#"# "&27.7" & 2#$3 *2"$3 "#&$.00$ 5&" * *
>oa: los alor's 4'gat!os 4o s' toa4 '4 c'4ta 'sto s!g4!ca C' 4o 8a- r' sc!'4t' ara la rocc!<4.
;PT1LA] DE 9;IKEV 8oC's SVSIo (BPD) Pcab (Ps!)Pr's!<4 ' ZP c8oC' Pcab/P>8 '4 lgaasalclao 2S b',a SP>8S Err:522 "#& $ $3& 0."7 "2 %AJKE` 2$# 203& "7&$ 0."5
Grca PR ZP c8oC':
) i s P ( n ó i s e r P
*PR
Pf- (Ps) 2
Df. D& C @ 12
Df. C @ 14 Df. C @ 20
Df. C @ 16
df. C @ 18
3500 3000 2500 2000 1500 1000 500 0 0
500
1000
1500 Qo (BPD)
2000
2500
3000
!<4
?iiacin asa la resin del earador . jercicio: &0 R'al!,ar 'l A4l!s!s oal col'to ;t!!,a4o 8asta la Pr's!<4 ' V'arao Datos:
Pr (Ps!) =2200 Pb (Ps!) = "$00 P (BPD/Ps!) " ;D tb ( S ) 2 J (Ft) 3000 9 (Ft) =5000 Rs (Pc/Bbl) &00 ºAP = 30 8 (Ft) = "0 8o =#0 Q () = 30 lclo 'l aal ' BrbHa: Ib (BPD) &00 D't'r!4ac!<4 'l A;F : A;F (BPD) "&00
o (cs) 0. o (BF/B ".2 r> (Ft) = 0.35 r' (Ft) ="2 r (Ft) =0.02" rc (Ft) 0.0#3 J (Ft = 0.$$3 GEo = 0.$7# 6 () "2 c8oC's : "2"&"#"$20 Balas/Ft : #"2 o 5&.7
?A<<BC ;E "B+E? : _ = "."7$EN0 balas/t = # % balas = #0 balas/t = % balas = 0 balas/t = "2 % balas = "20 ZP bal'o = aX(Cbal'o)U2 N bX(Cbal'o) −14
2 . 3∗10
(
∗ βo 2∗ β∗,o∗
a=
a=
- 2
1 1 − r- r
)
μo∗ βo∗ ! b=
0.0$#"7
(
0 . 061 0 . 021
)
3
7 . 0 8∗10
b=
∗ -∗#-
"5.$"5$7
2
Io (BPD) As!o 0 200 &00 #00 $00 "000 "&00
( Pb= a∗/ + b∗/
Bal'o S Cbal'oS (BPD) ZP a tras 'l bal'o #0 balas 0 balas "20 balas ZPb #0 ZPb 0 ZPb "20 0 0 0 0 0 0 & 3 2 #5 & 32 7 5 & ""5 $2 #5 "0 7 5 "#7 ""5 $2 "& 7 23 "50 ""5 "7 "2 2& 203 "50 2& "# "2 &30 27# 203 ?A<<BC ;E CD?I@E 8 SV Io (B ) ab (Ps!) !< ' c8 ab >8
$00 "000
) i s P ( p e s P
230 275
73& "7
50& #&2
0.32 0.3
Caudal&s @ df P&s. 600 500 400 300
Caudal&s @ df P&s.
200 100 0 200
400 Qo asuida (BPD)
Qo (BPD) l&do Qo (BPD) l&do
aal's l'\os ' la grca a !'r'4t's r's!o4's:
r
?A<<BC ;E RE ;E EBRB;?R PR Io (BPD) P> (Ps!) ZPb "20 P> 2 PXcab (Ps!) ZP c8oC' P> 3 ZPtb 9r,tal r's!<4 'l as!o alclao 'l '4or P> *ZPb "20 ' grca 'l ( 20S) Xcab * ZP c8oC c * Ps'(as) V' (Ps!) 200 2000 32 "#$ #"0 #& 5 20 52# &00 "$00 #5 "735 550 227 323 &0 2$3 #00 "50 $2 "50$ &00 37" 2 $0 *5" $00 "350 ""5 "235 250 50& *25& "30 *3$& "000 "0#$ "50 "$ 50 #&2 *52 "75 *7#7 >oa: los alor's 4'gat!os 4o s' toa4 '4 c'4ta 'sto s!g4!ca C' 4o 8a- r's!<4 sc!'4t' ara la rocc!<4 Grca
IPR *PR ) i s P ( f w P
P ss,(Ps) calculado
Pb@ 120
P cou&
2500 2000 1500 1000 500 0 0
200
400
600
800
1000
Qo asuido(BPD)
1200
1400
1600
.
<R C?@EA? Ejercicio : &1 alclar 'l PR o'sto.* Reser9orio 1 : BRB Datos:
Pr (Ps!) =
3600
η1 = η2 = η3 =
0.854
c 1(BPD/Psi^2) = 0.00079
0.754
c 2(BPD/Psi^2) = 0.00085
1.4
c 3(BPD/Psi^2) = 0.00081
Reser9orio & : JB>ABAB P2(Ps) = :o = : ('d) = (,) = ;< (<) = >? = (,) = RP (Pc+Bbl) = >s(c&s) = D Cs? ( ) = B, ( ) =
30 00 0.2 30 30 2 00 0.7 15 3 50 60 7 8 1+2
= 6 60
(,) =
0.3541666667
A = º " 2 3 & 5 #
P> (Ps!) As!a 3000 2500 200& "000 500 "&.7
0.033"23
ob (cs)
o (Bbl/BF)
Rs (Pc/Bbl)
0.$5&&&" 0.$3&0273 0.$0$$"3$ ".203#50 ".#05""5$ 2.2#&"&"5
"."&502&" ".20#7"5#$" ".2"55$733" "."2""755 ".03$2#" ".0#7#$202
350 350 350 "5& # &
Io (BPD) alclao 0 &&5.#2$$7& 0$.#$$# ""72.#$7552 "&2$."35557 "#&.#20727
lclo ' ScS - SS ara la Al!cac!<4 'l 1too ' F'tcQo!c8: F'tcQo!c8:
Qo = ∗( Pr 2 − Pwf Pw f 2 )
!
R's'ror!o " : Qo1(BPD) = Qo2(BPD) =
683.75124724 148.40863307
R's'ror!o 2 :
QoA (BDP) = P1 =
416.07994015 8 9 60 0 0 0
Cálculos del <R Coueso : &s&Eoo Fa,a,a
Io (BPD) P> (Ps!) alclao As!a 0 3000 &&5.#2$$7 2500 0$.#$ 2003 ""72.#$755 "000 "&2$."355# 500 "#&.#2073 "&.7
R&s&Eoo Gaa
P alclao 0.$"257$ 0.$"257$ 0.""&"$ 0.5$#3&3$ 0.57"25&2 0.5525$"2
Io (BPD) P> (P (Ps!) alclao As!a 0 3#00 32#.7533#5 2500 &"#.07&02 2000 &$2.$"#"53 "500 52.#5$73& "000 5##.&"#325 "&.7 PR ;1PKEVT; P> (Ps!)
P Io (BPD) (BPD/Ps!) o'sto o o' 'st sta a o 'sto 'sto
0 33 0 0 0 772.38283391 2 50 0 !0.3089531336 1324. 132 4.764 764578 5788 8 2002. 2002.334 33404 04129 12914 14 !0.66 !0.66161 161017 01767 67 1655 1655.6 .669 6916 1676 76 1140. 140.86 8681 8172 7259 5904 04 !1.4 !1.451 5123 2361 6179 79
P (B (BPD/Ps!) alclao 0.$"25775 0.270&033 0.2#00 0.22"2&5 0.2037"533# 0."57$3"35
Ejercico: && D't'r!4' 'l !4!c' ' roct!c!a r!t!co s'rc!al
Datos: Pr = Rs = Tr = VGs = ºAP = 8 = 9t = r> = 'sac = 6o = 6ro = ro. = E/ = o = o = o =
2000 350 200 0.75 30 20 70 0.35 #0 300 0.25 500 0.0"2 ".2 " 5&.##
s! c/bbl ºF t t acr's t bbl/b cs
Ioc (";) = &7.&06*7&1
alclar la P> or 'l 'too ' Blo4t a4 Gla,' : 2
Pr − Pwf =/oA +/o μ o* β o* =
( ( Ln
re rw
∗0 . 472
))
−3 ∗# ∗$ 7 . 08∗10
β =
β ∗ βo
A =
2. 329∗10
# 1 . 2
∗,o ∗2 . 3∗10 −14 $- 2 ∗rw
2
B= A=
0.057&23733 0.0000003"
2 (si) =
1$$8.%*7%7
alclo 'l P cr!t!co
10
=
#$73&
Ejercicio: &* 9allar la r's!o4 ' cab',a co los s!g!'4t's atos ' r'ba Datos: Io = 200 BPD Pr = 300 s! P> = 3#2# s! 9= #00 t
Para : Io = RV = ;D =
230 "00 2
BPD (c/bbl) S
Calculo de < :
Qo IP= ( Pr − Pwf ) <(";!si) 0.7&$$*
Ejercicio: &% V' 's'a 't'r!4ar 'l a!o caal ' !4-'cc!o ' aga ' r's'ror!o s'r!or ara 4 s!st'a ' r'c'rac!o4 s'c4ar!a !4-'cta4o aga 'l r's'ror!o !4'r!or
Datos: Reser9orio 9= 6' = Tr = > = Pr = Es = > = r> = V= Pro " = Pro 2 =
acuiero : &0 "0 200 ".0" 3000 #0 0.# 0.35& 0 #530 $530
Reser9orio Pr = 6= 9
eroliero 2000 5 &0
t ºF bbl/b s! acr's cs t
##0
ºR
t t :
s! t
P 7 o f u d ) d a d = 6 5 3 0 f ,. R & s & 7 E o 7 )o G u ( & 7 ) o 7
Pr*ac (Ps!) 2"3& Al!cac!<4 ' la J'- ' DarcQw=
∗10−3∗# ∗$∗( Pr − Pwf )
7 . 08
[
μw∗ βw∗ !
(
r' rw
)−
0 . 75
]
<R reser9orio BcuMero :
P> (s!) as!o 0 500 "000 "500 2000 3000
I> (BPD) P> 'l 4oo " (s!) calclao P> *$## s! "73.&& * "#&&.5&0$ * "3"5.#327 "3& $#.72&5 "500 #57.$"#33 2000 0 3000
Al!cac!o4 'l 'too ' Blot a4 Gla,' ara calclar 'l PR 'l r's'ror!o 'trol!'ro
Pr
Pwf
1
2
A
*"&00
GráLca:
2$3.227
c!'ro :
Ejercicio: &5 alclar la !'r'4c!a ' ot'4c!al s! s' !4cr''4ta las 'rorac!o4's 2 'c's:
Datos : Pr = 9 =
&&53 30 Pr'ba " 2 3 &
Graca
s! t Io (BPD) 5&5 #72 7&$ $22
P> (s!) (Pr*P>)/Io &&27 0.0&$ &&"$ 0.053 &&"2 0.055 &&05 0.05
ZA;F =
&3&.$07# BPD
Ejercicio: &6 s' 's'a 't'r!4ar 'l orc'4taH' ' aga C' s' !4-'cta '4 caa r's'ror!o ara 4 ro-'cto ' r'c'rac!o4 s'c4ar!a . Ja r'ba ' !4-'cc!o4 !o los s!g!'4t's r'sltaos I> (BPD) P> (s!) 500 2000 "000 2500 "500 3000 Reser9orio: 6= 9= 8 = G;R = r' = r> = ºAP = o = o = Pr =
ll
30 &0 20 &00 "200 0.35& 30 0.$ ".3 3000
Reser9orio: l
t t c/bbl t cs bbl/b s!
T (9rs) 0 0.033 0.05 0.0## 0.""#7 0."7#7 0.25 0.33 0.5 0.75 "
P (s!) 232" 2&& 2&$2 250$ 257& 2#"7 2#5& 2#7$ 2#" 2700 270$
2
Pr − Pwf =/o + /o A
( (
μ o* β o* Ln 1=
re ∗0 . 4 7 2 rw
))
7 . 0 8∗10− 3∗# ∗$ 2
−14
β ∗ βo ∗,o∗2 . 3∗10 A = $-2 ∗rw B= A=
0.03""5 5.$$E*0#
β =
2.329∗10
=
alclos ara la co4strcc!o4 'l PR
− + √ 2 +4∗( Pr − Pwf )∗ A Qo= 2∗ A
10
# 1. 2
3.2EN0$
Datos ' graca Pr = P> = P"9r = PX = P"c!clo =
2770 232" 270$ 2$00 27"0
s! s! s! s! s!
*= P∗− P1 IO
∗/o∗μo∗ βo
162.6
# = *∗$
2500 2000 "000 "&.7
5#."#7#& "#0."$"$ 3#$.2"0" 573."$03
0.020##7# 0.0#"37##03 0."5330#52 0.2#0"3#$
alclo 'l PR co'sto R's'ror!o l R's'ror!o ll Io (BPD) P> (s!) P Io (BPD) P> (s!) P alclao As!o (BPD/s!) alclao As!o (BPD/s!) 0 3000 "."033"& 2770 0 0.020#7 55".#5723& 2500 "."033"& 2500 5#."#7#& .2525 "0.&0# 2000 ".0&0#$ 2000 "#0."$"$ 2.57&03 2"$3.50$22 "000 ".0"75&"0 "000 3#$.2"0" 0.5#&72 3237.30 "&.7 ".0$&&"##&" "&.7 573."$03 0.005335 <R coueso
Pwf ∗¿
Pr2∗ IP2 +Pr1∗ IP1
IP2 + IP1
Ejercicio :&7
R'sol'r or 'l 1too ' R'st!tc!<4 ' Pr's!o4's (9;RER ) T!'o ' Procc!<4 (8rs)
"$
1 A (rs.)
& (sia)
* O (si)
0 0.00&"# 0.00$33 0.0"25 0.0"##7 0.020$3 0.025 0.02"# 0.03333 0.0375 0.0&5$3 0 05
30$#.3 300.# 303.$ 30#.# 3"00 3"03.3 3"0#.$ 3""0 3""3.3 3""#.5 3"".5 3"22 5
* &.30 7.50 "0.30 "3.70 "7.00 20.50 23.70 27.00 30.20 33.20 3# 20
% O ;eri9ad a* &.3 3.2 2.$ 3.& 3.3 3.5 3.2 3.3 3.2 3 3
5 OA ;eri9a da * 0.00&"# 0.00&"7 0.00&"7 0.00&"7 0.00&"# 0.00&"7 0.00&"# 0.00&"7 0.00&"7 0.00$33 0 00&"7
6 (AQ)! * &327.2 2"#".$# "&&".00 "0$0.7$ $#5."& 72".00 #"$.2$ 5&".05 &$".00 33.7# 3#" 00
7
8 PA
* $7.# 7"7.# 7.& $0#.& $0$.$ $0$.7$ 777.# 777.#" #3$ 5.# 73.2
* 3.73 5.$ .33 "3.&& "#.$5 20.22 22.#7 25.2 23.3 27.&$ 3#.#
0.#25 0.####$ 0.70$33 0.75 0.$"25 0.$75 0.375 " ".0#25 "."25 "."$75 ".25 ".3"25 ".375 ".&375 ".5 ".#3 ".75 ".$75 2 2.25 2.375
3&&$ 3#.3 3&$". 3&3.7 35"$.# 3537.3 3553.# 357".$ 35$#.2 3#02. 3#"7.& 3#3".2 3#&0. 3#52. 3##&.3 3#73.$ 3#2.3 3705.5 37".3 3732.2 37&.7 3757.2
3#".70 3$0.00 35.#0 &07.&0 &32.30 &5".00 .30 &$5.50 &.0 5"#.#0 53"."0 5&&.0 55&.#0 5##.#0 57$.00 5$7.50 #0#.00 #".20 #33.00 #&5.0 ##3.&0 #70.0
"&.2 "$.3 "5.# "".$ 2&. "$.7 "#.3 "$.2 "&.& "#.7 "&.5 "3.$ .7 "2 "".& .5 "$.5 "3.2 "3.$ "2. "7.5 7.5
0.0&"#7 0.0&"#$ 0.0&"#5 0.0&"#7 0.0#25 0.0#25 0.0#25 0.0#25 0.0#25 0.0#25 0.0#25 0.0#25 0.0#25 0.0#25 0.0#25 0.0#25 0."3 0."2 0."25 0."25 0.25 0."25
2.$0 2$.00 2#.&" 25.00 23."5 2".57 20.20 ".00 "7.& "7.00 "#."# "5.&0 "&.7" "&.0 "3.52 "3.00 "2.0& "".2 "0.#0 "0.00 .00 $.5$
3$."5 &07.0& 32.2 32$.& 3&.2 27.& 275.3 2#".&& 2&.# 2&.&& 255.# "$7.# "73.# "$7.7 "#7. "50.5 "2#.$ "07. "0#.$ 2.5 #3.2 5&.
2&3.22 27".37 233."$ 2.30 2$3.73 2&&.&$ 25$.0 2#".&& 2#5.20 2$0.#2 303.53 23&.50 227.$5 25$.0 2&".3# 225.75 20#.#$ "$$.$3 200.25 "$5.00 "&2.20 "30.3
"0.75 "".3 "".75 "2.25 "2.$ "3.3 "3.75 "&.5 "5.25 "# "#.75 "7.5 "$.25 " ".75 20.5 2".25 22.25 23.25 2&.25 25.25 2#.25
3$50.$ 3$5".$ 3$52.5 3$53.5 3$5& 3$55." 3$55.5 3$5#.5 3$57.3 3$57. 3$5$.7 3$5.5 3$5. 3$#0.7 3$#0. 3$#".5 3$#2.2 3$#2.7 3$#3.2 3$#3.5 3$#3. 3$#&.5
7#&.50 7#5.50 7##.20 7#7.20 7#7.70 7#$.$0 7#.20 770.20 77".00 77".#0 772.&0 773.20 773.#0 77&.&0 77&.#0 775.20 775.0 77#.&0 77#.0 777.20 777.#0 77$.20
0.$ " 0.7 " 0.5 "." 0.& " 0.$ 0.# 0.$ 0.$ 0.& 0.$ 0.2 0.# 0.7 0.5 0.5 0.3 0.& 0.#
0.5 0.55 0.&5 0.5 0.55 0.5 0.&5 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 " " " " "
2.#7 2.5 2.53 2.&7 2.&" 2.35 2.3" 2.2& 2."$ 2."3 2.07 2.03 ". ".5 "." ".$$ ".$5 ".$" ".77 ".7& ".7" ".#
".75 ".75 ".75 ".75 ".5# ".25 ".05 "."7 0. 0. 0. 0.$3 0.$3 0.#7 0.5" 0.$3 0.7 0.& 0.37 0.3$ 0.5 0.37
"$.$" ".7$ 20.5# 2".&& ".7 "#.#3 "&.&& "#.7 "5."0 "5.$& "#.5$ "&.53 "5."5 "2.73 "0.07 "7.02 "#.7 "0.0 $.#0 .22 "2.#3 .7"
o (cs) = Tº (ºF) = ZT =
2.5 "$0 30 KA?;? ;E D?R>ER :
Datos ' Grca: P"8 = 2 = PX = 1ciclo =
370 30$# 3$0 3$20
s! s! s!
endiene:
= PX * P"c!clo (s!/c!clo)
=
Conduci9idad:
68 = 68 = o9ilidad:
"#2.#XIoXoXBo / "07".0#&
(X!')
70
IP =
Qo ¿
P − Pwf
ELciencia de Flujo: ¿
P − Pwf −0 . 8 7⋅*⋅S Ef = ¿ P − Pwf GráLca:
EF=
0.&7532
=
&7.53"7
;ao:
[
S = 1.151⋅
P 1 4R − Pwf *
− og
(
)
+ 3.23 2 7⋅ μo⋅ T ⋅rw
]
V=
7.3"$$
Radio de
√
0.00105⋅ ⋅ΔT 7⋅μo⋅ T
(Ft) =
"5"5.5#
Qo
P(BPD/Ps!) = $.2$57"
¿
P − Pwf
ELciencia de Flujo: ¿
P − Pwf − 0.87⋅*⋅S Ef = ¿ P − Pwf
GráLca:
EF=
0.5&5"
=
5&.5"
Conduci9idad:
( )
⋅$ = 141.2⋅Qo⋅o⋅ μo⋅
P3 (P
- ('d-,)
=
58596.588
o9ilidad:
( )
141.2⋅Qo⋅o P 6 = ⋅ μo $ (P
:+Io ('d+cs) =
erea#ilidad: 6 =
6 ⋅$ $
: ('d) =
547.63166
Consane de alacenaieno: =
0.000295⋅ ⋅$
C = 2904.0469
( )
μo⋅
(T d d
Consane de alacenaieno adicional: CD =
5.615⋅ 2⋅7⋅ T ⋅rw 2⋅$
CD =
353573529
219.05267
Ejercicio: &8 D't'r!4ar: XEl caal ' brbHa - la P>. XEl 1!o Pot'4c!al ara 4 's'sor 8 - 28. XEl ao s! 8 (Ft) = 0.03
Datos: "EN020 " J; = "00 JP = o(Bbl/BF) = ".3$ Pr (Ps!) = &$#5 PD = & t/c = 30 r> (Ft) = 0.22 t = 0.0000"07 V> = 0.&7 r' (Ft) = "2 Tr (ºF) = "$" o(cs) = 0.52 CD2G =
=
641
−3
/o =
7.08∗10
∗# ∗$∗( Pr − Pwf )
[ ( )
μo∗ βo∗ !
r' −0.75 rw
]
Cálculo de la Conduci9idad:
( )
⋅$ =141.2⋅Qo⋅1o⋅ μo⋅ :- ('d!f,) =
P3 (P
555.261658
Cálculo del B?F T UU: −3
AO+ =
7 . 0 8∗10
*Pr ∗ # ∗$ *Pr
( ( )
μo∗ βo∗ ! (BPD) =
)
= 1P3
r' −0 . 7 5 rw
3525.3793
Cálculo del B?F T U&U: −3
AO+ =
7 . 08∗10
∗# ∗$∗2*Pr
( ( )
μo∗ βo∗ !
r' rw
−0 . 7 5
)
P3 = P3
Ejercicio: &$ D't'r!4ar: XEl caal ' P'tr
Datos: "EN020 " J; = "00 JP = o(Bbl/BF) = ".2 Pr (Ps!) = 2500 PD = & t/c = 30 r> (Ft) = 0.22 t = 0.0000"07 V> = 0.&7 r' (Ft) = "2 Tr Tr (ºF) = "$" o(cs) = 0.52 GEg = 0.#5 CD2G =
=
641
El R's'ror!o 's 1o4os!co Cálculo de la Conduci9idad:
( )
⋅$ =141.2⋅Qo⋅1o⋅ μo⋅ :- ('d!f,) =
387.67872
P3 (P
Consane de alacenaieno: 2 =
0. 0002 000295 95⋅ 6 ⋅$
C =
6.5979936
( )
μo⋅
(T 5d .d
Consane de alacenaieno adicional: CD =
5.615⋅
CD =
9202121.7491
G=
15.00837861
2
2⋅7⋅ T ⋅rw ⋅$
;ao: S = 0 . 5⋅ !
(
3 ' 2 S 3
)
"00 200 &00
"#.& "&3$.$3 377.7$55
800 770 0
Cálculo de la resin de CoVes: P# =
435 ∗ Rs
0.546
S1.89
Io (BPD) as!o "00 200
∗Qo PcQ (Ps!) calclao 75".5$2$ "503."##
CaMda de resin or CoVe:
Io (BPD) as!o "00 200
PcQ (Ps!) calclao 75".5$2$ "503."##
Pcab(Ps)
Pc
d& ,abla
(Ps)
60
692
75
1429
;ierencia de resiones ( ca# - WcV):
EIKJBR; J^IKD; AP;R Ejercicio: *0 D't'r!4ar la Ra,<4 ' EC!l!br!o S6S - (4): Datos: Pr's!<4 V!s 50 s! Tº (ºF) = 100 as!o 0.001 Calcular UNU or la +e3 de ;B+A?>: P%" # = Ps"s'*a
oo4'4
L!
Paor
6H
c3 !*c& 4*c& !*c5 4*c5
0.2 0." 0." 0.2 02
"$ 72 5" 20.&& "5 57
3.7$ ".&& ".02 0.&0$$ 0 3""&
,!X(Q!*") ,!X(Q!*")/Q! 4X(Q!*")N" 0.55#0 0.0&&0 0.0020 *0.""$2 0 "377
0.&0$ 0.0"3& 0.0000 0."7"0 0 30&5
".002$ ".000& ".0000 0.& 0 3
Ejercicio: *1 D't'r!4ar la Ra,o4 ' EC!l!br!o Datos: Pr's!o4 (s!) 1000 a = ".$ 150 T'(ºF)= c = 0.#$5 0.85* VGc7N 1$$ P1c7N ;eerinar las roiedades CrMicas ara el C7Q: orr'lac!<4 ' R;hEfV:
Tºcr\t!ca 'l 7N:
( 9:. 7 +− 2 )
!=
14 2
a=2 . 95597 −0 . 090597∗!
3
( T ) . 7+ =1 . 8∗( 961−10 a ) oo4'4t' o racc. ;2 2 "
0.00 0.003 0.535
Corr. Yilson Corr. andin P1 Pr's r!t. Tº. r!t. º. Eboll ctor Ac'4 o4st. EC! b! F! o4st. EC!l (s!) (ºR) (ºR) > Q Q
&& 2$ "#
"07" 5&7. 350.75 0.225 &3 227.# "3.55 0.0& ##7 $ 3&3 37 20" 27 0 0"0&
2.0233 %%% 2.20 %%% 550 3.0& 7 "5537 $0# 2 #$
2.027 7.#&2 & 3
( Tb ) . 7 + =0 . 000434∗( T )
2
. 7+ + 265
Factor As4tr!co ShS:
[
(
∗ og∗
3
: =−
[
P2 14 . 7
T2 7∗ Tb − 1
]
) ] +
1
orr'lac!<4 ' Vta4!4g: Tºcr\t!ca 'l 7N:
( T ). 7+=608+304∗ og ( 9:. 7+−71.2 )+2.45∗ og( 9:. 7+−3 . 8 )∗ ogSGg. 7+ Pr's.r\t!ca 'l 7N:
( P2 ) . 7+= 1188− 431∗ og ( 9:. 7+−61.1 )+ [ 2.319 −852∗ og ( 9:. 7 +−53.7 )]∗SG. 7+−0 . 8 1too Ro2e[s andin
4
a
"&.05 2.&3
0.&
(Ac)c7Q (ZR) XXX XXX
c)c7Q (A#)c7Q (si) (ZR) XXX $*$.8* XXX
2 0.605
.
?iiacion de la resion de earacion Ejercicio: *& D't'r!4ar la Pr's!<4 ]t!a ' V'arac!<4 '4 la V'g4a Etaa: Datos:
taa V' r's. V' Tº F " "000 "#0 2 500 "#0 3 "&.7 #0
Tº R #20 #20 520
earacion Flas aor= 0.%7* J!C!o= 0.527
oo* o. 4'4t' racc. " *& *"0
Corr. Yilson
P1
jXP1 D'4s!a ol = P1/O Pcr!t. lb/c c s!
0.53" "#.0&3 $.5" "$.72 0."055 5$."23 #."32 3#.&& 0.3#&& "&2 5".7&5 &$.55 1.001 66.*$6
0.&55 0."#$ ".0## 1.68$
Tº.r!t. Tº Eboll. Fact Ac'4t.tt'. EC!l. oR oR > Q
##7.$ 3&3.37 20".27 550.7 7#5.#5 &".0$ 30&.00 %%% $05.00
0.0"0& 0.20" 0.&0
%5.7* %&.67 XXX 1.&8 0.7* 0.587 6& XXX 1.770 XXX
Ji
jXP1 @XP1
7.5"##$ %%% 0.7$ 2.0$7 %%% 0."2"0& %%% 0.022 %%% ".270 0.00053 %%% 0.000 %%% 0.052 total
D'4s!a=(P1o/o) (lb/c) = D'4.sc = g l!b'rao=(37&X) c/ol = o ocao=(JX1h)/D'4. P't c/ol = Vgo=(D'4.'t/#2&) = VGg=P1@/2$#& = AP =( "&"5/Vgo )*"3"5 = G;R=(5#"5X37&X)/( JXP1/D'4. P't) = Bo = (Po X D'4 't)/(D'4 'tX JXP1) = Rs=VGgX((P/"$2)N"&)X"0U(00"25XAP*0000"(T*))U"2&
\i
XXX XXX
111
17
?iiacion de la resion de earacion en la seunda eaa
Datos: Pr's (s!) 500 T'(ºF) 160 earacion Flas aor= 0.07% J!C!o= 0.2# Corr. Yilson
oo* o. 4'4t' racc.
P1
jXP1 D'4s!a ol = P1/O Pcr!t. lb/c c s!
" 0."25 "#.0&3 2.07$ *& 0."$03 5$."23 "0.&$2 *"0 0.#"" "&2 $."&" 1.001 XXX
"$.72 3#.&& &$.55
0.""" 0.2$$ 2.022 &.%&0
Tº r!t. Tº Eboll. Fact.Ac'4t. tt'. EC!l. oR oR > Q
##7.$ 3&3.37 20".27 550.7 7#5.#5 &".0$ 30&.00 %%% $05.00
0.0"0& 0.20" 0.&0
@!=j!X6 \i Ji jXP1 @XP1
"5.0333# %%% 0.55 ".0" %%% 0."2"0& %%% 0.023 %%% ".357 0.00053 %%% 0.000 %%% 0.05# XXX XXX
D'4s!a=(P1o/o) (lb/c) = D'4.sc = g l!b'rao=(37&X) c/ol = o ocao=(JX1h)/D'4. P't c/ol = Vgo=(D'4.'t/#2&) = VGg=P1@/2$#& = AP =( "&"5/Vgo )*"3"5 = G;R=(5#"5X37&X)/( JXP1/D'4. P't) = Bo = (Po X D'4 't)/(D'4 'tX JXP1) = Rs=VGgX((P/"$2)N"&)X"0U(00"25XAP*0000"(T*))U"2&
%6.%5 %6.&5 &8.08 &.*6 0.7% 0.578 5$ 66.8$ 1.075 XXX
118
17
? ac on e a res on e earac onen a ercera eaa
Datos: Pr's.(s!) 1%.7 T'(ºF) 60 earacion Flas aor= 0.0$ J!C!o= 0." Corr. Yilson
oo* o. P1 4'4t' racc.
jXP1 D'4s!a ol = P1/O lb/c c
" 0.0#3& "#.0&3 ".0"# *& 0."" 5$."23 ""."02 *"0 0.7 "&2 %%% 1.001 XXX
"$.72 3#.&& &$.55
0.05& 0.305 2."$3 &.5%&
Pcr!t. Tº r!t. Tº Eboll. Fact Ac'4t.tt'. EC!l s! oR oR > Q ##7.$ 3&3.37 20".27 550.7 7#5.#5 &".0$ 30&.00 %%% $05.00
@!=j!X6 \i Ji jXP1 @XP1
0.0"0& %%% %%% 0.#$0 0.03$ %%% 0.20" ".7$00& %%% 0.3"$ %%% %%% 0.&0 0.0022 %%% 0.002 %%% 0.2#7 XXX XXX
D'4s!a=(P1o/o) (lb/c) D'4.sc g l!b'rao=(37&X) c/ol o ocao=(JX1h)/D'4. P't c/ol Vgo=(D'4.'t/#2&) VGg=P1@ /2$#& AP =( "&"5/Vgo )*"3"5 G;R=(5#"5X37&X)/( JXP1/D'4. P't)
= = = = = = = =
%7.&% %$.1$ *%.15 &.%% 0.76 1.0&* 55 78.%7
Bo = (Po X D'4 't)/(D'4 'tX JXP1) 1.1%% = Rs=VGgX((P/"$2)N"&)X"0U(00"25XAP*0000"(T*))U"2& XXX
1&7
*0
o B 1 I P 2 1 1000 R * G
Pr's!o4 s!
G;R Pc/Bbl
ºAP
Bo
"000 500 "&.7
70 #7 7$
#2 5 55
".770 ".075 "."&&
+fec"o de la Presion de 0ep aracion con G*R1 2PI1 Bo
100 =@R Pc+Bbl
10
P*
1 0 0 0
200
400
600
800
Presion de 0eparacion
+a resin de earacin Hi
*60
si.
1000
1200
ol = P1/O c 0."""5 0.2$$0 2.02"# &
ol = P1/O c 0.05&& 0.3077 2."$30 *
ol = P1/O c 0.0020 0.2$&7 2.3$3 *
?iiacion de la resion de earacion Ejercicio: ** 1'!a4t' la s!lac!<4 ' l a coos!c!<4 D't'r!4ar la s'g4a 'taa ' s'arac!<4: Datos: aa aa e res. res. e e AZ F 1 5 00 7& & & 50 7& * 1%.7 60 VGc7N = 0.8%&$ P1c7 = &5& earacion Flas aor= 0.*$ J!C!o 0.#"
1too ' R;hEiV !=
P
C7 +
−2
2
a =2. 95597 95597 − 0. 090597 090597⋅!
14
T! = 1. 8⋅( 961 − 10 oo* o. 4'4t' racc. ;2 2 " 2 3 *& *& *5
0 0 0.&2 0.05 0.05 0.03 0.02 0.0"
a
)
< =(−0.0137726826⋅! ) +0.6801481651
3
: =−
( 5 +< )
10 P! = T!C7+
(
Te"= 0.000434⋅ T!
+2
C7
) +265
7⋅
P! C7+
14.7
T!C7+
+1
Te"−1
Corr. Yilson
P1
jXP1 D'4s!a ol = P1/ Pcr!t. Tº r!t. Tº Eboll. Fact. Ac'4 t tt'. EC! lb/c c s! oR oR > Q
&& 2$.0"3 "#.0&3 30.07 &&.07 5$."23 5$."23 72."5
0.000 0.000 #.73$ ".50& 2.205 ".7&& "."#2 0.722
5".2# &0.$$ "$.72 22.22 3".#3 35."2 3#.&& 3$.$
( ) ( )
3⋅Log
0.000 0.000 0.3#0 0.0#$ 0.070 0.050 0.032 0.0"
"07" &3 ##7.$ 707.$ #"#.3 52." 550.7 &0.&
5&7. 227.# 3&3.& 550." ### 735 7#5.7 $2."
350.75 "3.55 20".27 332.5 &"#.25 &70.7$ &".0$ 5&2."2
0.225 0.0& 0.0"0& 0.0$# 0."52& 0."$&$ 0.20" 0.2223
".75#$ %%% ."&503 "."5$2 0.253" 0.033 0.0#&$3 0.025"0
\i
Ji
0.0000 0.0000 0."00# 0.0&7" 0.0703 0.0& 0.03"5 0.0"#"
0.000 0.000 0.20 0.055 0.0"$ 0.00& 0.002 0.000
jXP1
@XP1 ol = P1/O c
0.000 0.000 0.000 0.000 ".#"3 "&.75& ".&"# ".#&0 3."00 0.$0& 2.#7 0.252 ".$30 0."" "."#& 0.02
0.0000 0.0000 0.0$#2 0.0#37 0.0$0 0.07#$ 0.0502 0.02
*5 # 7N
0.0" 72."5 0.722 0.0" $#."77 0.$#2 0.& 252 "00.$00 1.000 XXX
3.3$ &".&2 52.#0
0.0"$ &$$.# $&5.7 55#.2 0.02" &3#. "3.7 #"5.72 "."# 203.03 %%% %%% &.55*
0.253 0.0"$&3 0.0"#2 0.000 "."# 0.3007 0.005$2 0.0"#3 0.000 ".&07 0.#20 0.00000 0.#557 0.000 %%% Total Total =
XXX 1.000
180
0.022 0.00$ 0.000
0.027 0.03&0 3."&"7
18
%
;eerinacion de las roiedades criicas C7Q
4 ]odo Ro2e[s "7.$# andin
a 2.3&
a" s. de Con9ere a2 a3
(Ac) c7Q (c)c7Q A#)c7Q 2 (ºR) (Ps!) (ºR) XXX &0*.0* XXX 0.6&0 XXX &&0.%$
0.&3
#"2&.3 *2753.25 &"5.&2
%%% %%% %%% XXX
Vta4!4 R, R,asas 10$&0 XXX
Para 'l clo ' la tt' ' 'C!l!br!o 'C!l!br!o S6S t!l!,ar la corr'lac!<4 ' hJV;: hJV;:
[
( )] T!#
5.37⋅( 1 + )⋅ 1 − T P!# 6 = ⋅$%P P
Para 'l lclo ' V'arac!<4 Flas8 t!l! ,ar las sgt's F
'# (L + ( ()⋅*#)
'#⋅*# +# = = %#⋅*# (L+( ()⋅*# )
)ol =
%#⋅P# Den,#--
Para 'l lclo ' las ro!'a's 'l P'tr
∑ ( X"⋅ P9" ) =o= X"⋅ P9" ∑ ( 3'!s"dad 3'!s"da d )
[(
)
o Pr /, = g + 1 . 4 ⋅100.0125⋅ PI0.00091⋅(Tr460 ) 18.2
]
1.2048
>g&"b =379.4⋅ ?>
>oo)- . =
∑
?⋅ X" X "⋅ P9" P9 " =o
=o=
∑ ( X"⋅ P9" ) X"⋅ P9" ∑ ( 3'!s"dad 3'!s"da d )
SGo =
GOR =
∑
<"⋅ P9" SGg = 28.964
=o 62.4
>oo)- . =
O
API =
141.5 − 131.5 SGo
5.615⋅379.4⋅ ?> >g = ⋅5.615 >o ?⋅ X" X "⋅ P9" P9 "
=oS =
( 0.0763⋅ Rs⋅SGg ) +( 350.4⋅SGo ) ( 0.0027⋅ Rs ) +2.4893⋅SGo +3.491
oC o = o⋅(L
∑
=o D'4s!a=(P1o/o) (lb/c) D'4.sc g l!b'rao=(37&X) c/ol o ocao=(JX1h)/D'4. P't c/ol Vgo=(D'4.'t/#2&) VGg=P1@/2$#& AP =( "&"5/Vgo )*"3"5 G;R=(5#"5X37&X)/(JXP1/D'4. P't) Bo = (Po X D'4 't)/(D'4 'tX JXP1) Rs=VGg Rs= VGgX(( X((P/" P/"$2 $2)N" )N"&) &)X"0 X"0U(0 U(00" 0"25 25XAP XAP*0 *000 000" 0"(T (T* *
= = =
%$.76 %8.7$ XXX
= =
&.&0 0.80
= =
0.60$ %6
= = =
XXX 1.607 XXX
?iiacion de la resion de earacion ara la seunda eaa de searacin
Datos: res.(si &50 AZ F 7& N = VGc7 0.8%&$ P1c7 = &5& earacion Flas
∑
?⋅ X" X "⋅ P9" P9 " =o
aor= 0.066$ J!C!o 0.33" Corr. Yilson
oo* o. 4'4t' racc. ;2 2 " 2 3 *& *& *5 *5 # 7N
0 0 0.&2 0.05 0.05 0.03 0.02 0.0" 0.0" 0.0" 0.& 1.000
P1
jXP1 D'4s!a ol = P1/ Pcr!t. Tº r!t. Tº Eboll.Fact. Ac'4 tt'. EC! lb/c c s! oR oR > Q
&& 0.000 2$.0"3 0.000 "#.0&3 #.73$ 30.07 ".50& &&.07 2.205 5$."23 ".7&& 5$."23 "."#2 72."5 0.722 72."5 0.722 $#."77 0.$#2 252 "00.$00 XXX
5".2# &0.$$ "$.72 22.22 3".#3 35."2 3#.&& 3$.$ 3.3$ &".&2 52.#0
0.000 "07" 0.000 &3 0.3#0 ##7.$ 0.0#$ 707.$ 0.070 #"#.3 0.050 52." 0.032 550.7 0.0" &0.& 0.0"$ &$$.# 0.02" &3#. "."# 203.03 &.55*
5&7. 227.# 3&3.& 550." ### 735 7#5.7 $2." $&5.7 "3.7 %%%
350.75 "3.55 20".27 332.5 &"#.25 &70.7$ &".0$ 5&2."2 55#.2 #"5.72 %%%
0.225 0.0& 0.0"0& 0.0$# 0."52& 0."$&$ 0.20" 0.2223 0.253 0.3007 0.#20
3.5"37 %%% %%% 2.3"#5 0.5"$#3 0."$#7 0."2#7 0.05020 0.03#$7 0.0""#& 0.00000
Total = ;eerinacion de las roiedades criicas C7Q
4 ]odo Ro2e[s "7.$# andin
a 2.3&
a" s. de Con9ere a2 a3
0.&3
#"2&.3 *2753.25 &"5.&2
(Ac) c7 Q (c)c7Q A#)c7Q 2 (ºR) (Ps!) (ºR) XXX &0*.0* XXX 0.6&0 XXX &&0.%$
%%% %%% %%% XXX
Vta4!4 R,asas 10$&0 XXX
\i
Ji
0.0000 0.0000 0.05&2 0.0330 0.0#"# 0.0&3 0.0303 0.0"5 0.0"#0 0.0"#3 0.#557
0.000 0.000 0.2 0.077 0.032 0.00$ 0.00& 0.00" 0.00" 0.000 0.000
XXX 1.11%
jXP1
@XP1 ol = P1/O c
0.000 0.000 0.000 0.000 0.$70 "5."# 0.3 2.30" 2.7"& ".&0$ 2.55& 0.&77 ".7#0 0.22$ "." 0.05$ "."5# 0.0&3 ".&02 0.0"# %%% 0.000 178
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0.0000 0.0000 0.0 0.0&&7 0.0$5$ 0.0727 0.0&$3 0.02& 0.023 0.033 3."&"7 %
D'4s!a=(P1o/o) (lb/c) D'4.sc g l!b'rao=(37&X) c/ol o ocao=(JX1h)/D'4. P't c/ol Vgo=(D'4.'t/#2&) VGg=P1@/2$#& AP =( "&"5/Vgo )*"3"5 G;R=(5#"5X37&X)/(JXP1/D'4. P't)
= = =
50.*5 50.*5 &5.*8
= =
*.*0 0.81
= =
0.706 %%
=
%*.&%
Bo = (Po X D'4 't)/(D'4 'tXJXP1) Rs=VGgX((P/"$2)N"&)X"0U(00"25XAP*0000"(T*
= =
1.07& XXX
?iiacion de la resion de earacion ara la ercera eaa de searacin
Datos: res.(si 1%.7 AZ F 60 N = VGc7 0.8%&$ P1c7 = &5& earacion Flas aor= 0.15&* J!C!o 0.$&77 Corr. Yilson
oo* o. 4'4t' racc.
P1
jXP1 D'4s!a ! ol = P1/ Pcr!t. Tº r!t. Tº Eboll.Fact. Ac'4 tt'. EC! lb/c c s! oR oR > Q
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Ji
jXP1
@XP1 ol = P1/O c
;2 2 " 2 3 *& *& *5 *5 # 7N
0 0 0.&2 0.05 0.05 0.03 0.02 0.0" 0.0" 0.0" 0.& 1.000
&& 0.000 2$.0"3 0.000 "#.0&3 #.73$ 30.07 ".50& &&.07 2.205 5$."23 ".7&& 5$."23 "."#2 72."5 0.722 72."5 0.722 $#."77 0.$#2 252 "00.$00 XXX
5".2# &0.$$ "$.72 22.22 3".#3 35."2 3#.&& 3$.$ 3.3$ &".&2 52.#0
0.000 "07" 0.000 &3 0.3#0 ##7.$ 0.0#$ 707.$ 0.070 #"#.3 0.050 52." 0.032 550.7 0.0" &0.& 0.0"$ &$$.# 0.02" &3#. "."# 203.03 &.55*
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350.75 "3.55 20".27 332.5 &"#.25 &70.7$ &".0$ 5&2."2 55#.2 #"5.72 %%%
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4 ]odo Ro2e[s "7.$# andin
a 2.3&
a" s. de Con9ere a2 a3
0.&3
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Vta4!4 R,asas 10$&0 XXX
= = =
51.8* 5&.&6 57.78
= =
&.80 0.8*
=
1.07%
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XXX 1.*$1
0.000 0.000 0.000 0.000 0.0#0 "7."$3 0."0$ 3.#$7 0.#32 &.##& ".075 2.7$ 0.$" ".5$7 0.$27 0.557 0.0" 0.&&" ".2$ 0."3 %%% 0.003 171
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=
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XXX
Bo = (Po X D'4 't)/(D'4 'tX JXP1) Rs=VGgX((P/"$2)N"&)X"0U(00"25XAP*0000"(T*
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1.1$0 $.&&%
Pr's!o4 G;R s! Pc/Bbl 500 250 "&.7
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377.27 &3.2& ""5.$
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Bo
&& 3
".#07 ".072 "."0
Gráfica 400 350 300 250 200 150 100
R Pc+Bbl <P* Bo
50 0 500
250 Pres30ep3(Psi)
14.7