CONTOH SOAL hal. 267 – 268 Craft – Hawkins
No. 7.19
Data : p e 2500 psia , q 300STB / d , Bo 1.32 bbl / STB ,
c t 18 10 6 psi 1 ,
a.
0.44
cp , k 25 md , h 43 ft ,
0.16
Plot Pr Pressure vs vs Ra Radius. Persamaan :
p r , t pi
70.6 q B k h
ct r 2 E i 0 . 00105 k t
Untu men!"itun! nilai E i x di!unaan 2 #ara, $aitu: untu x 0.02 , nilai E i ln x 0.577 untu x 0.02 , nilai E i da%at dili"at %ada table 7.1 atau fi!re 7.11 &uu 'ra(t )a*ins.
'onto" %er"itun!an %ada t + + 0.1 day 2.4 hrshrs- dan r + r + 1 ft 1 ft :
p 1, 2.4 2500
0.16 0.44 18 10 6 1 2 E i 0 . 00105 25 0 . 1 24
70.6 300 0.44 1.32
25 43 p 1, 2.4 2500 11.4431107 E i 0.0000201143 p 1, 2.4 2500 11.4431107 10.237080263256 p 1, 2.4 2382.8560 psia 'onto" %er"itun!an %ada t + + 100 days 2400 hrshrs- dan r + r + 100 ft 100 ft :
p 100 , 2400 2500
70.6 300 0.44 1.32
0.16 0.44 18 10 6 100 2 E i 0 . 00105 25 100 24
25 43 p 100 , 2400 2500 11.4431107 E i 0.000201142 p 100 , 2400 2500 11.4431107 12.53665356287 p 100 , 2400 2356.5072 psia /a&el "asil %er"itun!an: r " " ft #
1 10 100 1000 10000
t + + 0.1 day 2382.856 2435.553 2486.00 2500.000 2500.000
Fahmi Nugraha 12213!1
P " " psia# psia# t + 1 day t + 10 day
2356.507 240.205 2462.467 24.440 2500.000
2330.158 2382.856 2435.553 2486.00 2500.000
t + 100 day 2303.810 2356.507 240.205 2462.467 2500.560
Plot %ada !ra(i:
&.
1200 ft , t p 5 psi , r
p r , t pi pi p r , t
p
70.6 q B k h
70.6 q B k h
70.6 q B k h
ct r 2 E i 0 . 00105 k t ct r 2 E i 0.00105 k t
ct r 2 pressure drop E i 0 . 00105 k t
Fahmi Nugraha 12213!1
70.6 300 0.44 1.32
5
25 43
0.16 0.44 18 10 6 1200 2 E i 0 . 00105 25 t
6.5147 0.4364 E i t 6.5147 E i 0.625 E i dari !ra(i (i!ure 7.11 'ra(t )a*ins t t
#.
6.5147 0.625
t 10 days ,
111 .224 hrs 4.63 days
p
r 1 600 ft r 2
600 400 721.11 ft 2
2
p
Re#all %ressure dro% euation :
70.6 q B k h
ct r 2 E i 0 . 00105 k t
Pressure dro% untu (lo*in! *ell :
p1 p1
70.6 300 0.44 1.32
0.16 0.44 18 10 6 600 2 E i 0 . 00105 25 10 24
25 43 11.4431107 E i 0.07241
p1 11.4431107 2.1 p1 24.0305 psia
Pressure dro% untu ima!e *ell :
Fahmi Nugraha 12213!1
p 2 p 2
70.6 300 0.44 1.32
0.16 0.44 18 10 6 721.11 2 E i 0 . 00105 25 10 24
25 43 11.4431107 E i 0.1045
p 2 11.4431107 1.8 p 2 20.576 psia Pressure dro% total %ada s"ut in *ell : pt p1 p 2 24.0305 20.576 44.6281 psia
d.
Pressure dro% selama 5 "ari setela" sumur ditutu% selama 1 "ari, r 500 ft
Pressure dro% selama 6 "ari :
p selama6 "ari p selama6 "ari
70.6 300 0.44 1.32
0.16 0.44 18 10 6 500 2 E i 0 . 00105 25 6 24
25 43 11.4431107 E i 0.08381
p selama6 "ari 11.4431107 2 p selama6 "ari 22.8862 psia Pressure dro% selama 1 "ari %ertama :
p selama1 "ari p selama1 "ari
70.6 300 0.44 1.32
0.16 0.44 18 10 6 500 2 E i 0 . 00105 25 1 24
25 43 11.4431107 E i 0.50286
p selama1 "ari 11.4431107 0.56 p selama1 "ari 6.4081 psia Pressure dro% selama 5 "ari setela" sumur ditutu% selama 1 "ari :
p pselama 6 "ari pselama 1 "ari 22.8862 6.4081 16.4781 psia
No. 7.2$
Fahmi Nugraha 12213!1
Data : 25 , ct
30 10 6 psi 1 , k 50 md , r " 0.33 ft ,
h 20 ft ,
0.5
cp ,
Bo 1.32 bbl / STB , pi 4000 psia , t 5 days , q 200 STB / d
a*a&: r 1 200 200 400 ft r 2 300 300 600 ft
pt p1 p 2 Re#all %ressure dro% euation untu ima!e *ell: p
70.6 q B k h
ct r 2 E i 0 . 00105 k t
70.6 q B ct r " 0.5772 2S edan!an %ressure dro% euation untu *ell1: p ln k h 0.00105 k t 2
Pressure dro% untu ima!e *ell 1:
p1 p1
70.6 200 0.5 1.32
0.25 0.5 30 10 6 400 2 E i 0 . 00105 50 5 24
50 20 .312 E i 0.0524
p1 .312 1.85 p1 17.2405 psia
Pressure dro% untu ima!e *ell 2:
Fahmi Nugraha 12213!1
p 2 p 2
70.6 200 0.5 1.32
0.25 0.5 30 10 6 600 2 E i 0 . 00105 50 5 24
50 20 .312 E i 0.2142
p 2 .312 1.15 p 2 10.7171 psia Den!an men!a&aian sin (ator di sumur1 S 0 -, maa %ressure dro% di *ell1 s&&:
p"ell 1 p"ell 1
0.25 0.5 30 10 6 0.33 2 ln 0 . 5772 0.00105 50 5 24
70.6 200 0.5 1.32
50 20 .312 17.1288
p"ell 1 15.626 psia
e"in!!a %ressure dro% total di *ell1 adala": pt p "ell 1 p1 p 2 15.626 17.2405 10.7171 187.5845 psia
Re#all %ressure distri&ution: pt pi p r , t p r , t pi pt , se"in!!a %ressure *ell1 : p r , t "ell 1 pi pt 4000 187.5845 3812.4155 psia
Fahmi Nugraha 12213!1