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Curvas IPR-Yacimiento La Esperanza
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Curvas IPR-Yacimiento La Esperanza
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CarmiñaYaninaCedeñoRojas
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Ejercicios resueltos de la esperanza matemática
Q(Mm Q(Mm3/ 3/d) d)
Pwf( Pwf(Kg/ Kg/Cm Cm2) 2)
0
246
260522.6
220
41194 9
200
541891.6
180
654265.7
160
751051.8
140
833438.9
120
902206.6
100
1017675.7
50
1049649.3
20
Curva IPR #1 300 250 ) 200 2 m C / 150 g K ( f w 100 P
50 0
0
200000
400000
600000
80
Q(Mm3/d)
Q(Mm Q(Mm3/ 3/d) d)
Pwf( Pwf(Kg/ Kg/Cm Cm2) 2)
0
235.5
162853.2
220
322063.2
200
456052.1
180
571023.7
160
669632.3
140
753354.9
120
823118.8
100
940068.2
50
972415.9
20
Curva IPR #2 250 200 ) 2 150 m C / g K ( f 100 w P
50 0
0
200000
400000
600000 Q(Mm3/d)
Q(Mm Q(Mm3/ 3/d) d)
Pwf( Pwf(Kg/ Kg/Cm Cm2) 2)
0
225
232396.2
200
371623.8
180
489675.4
160
590353.4
140
Curva IPR #3 250 200 )
80
675554.1
120
746402.5
100
803625.8
80
864938.8
50
897683.4
20
2 150 m C / g K ( f 100 w P
50 0
0
1000002000 100 0002000003000 0030000040000 00400000500000600 0500000600000 000 Q(Mm3/d)
Q(Mm Q(Mm3/ 3/d) d)
Pwf( Pwf(Kg/ Kg/Cm Cm2) 2)
0
202.5
29900.3
200
193468.8
180
321084.3
160
427457.7
140
516486.1
120
59004 3
100
649213.1
80
712418.2
50
746102.7
20
Curva #4 250 200 ) 2 150 m C / g K ( f 100 w P
50 0
0
100000 200000 300000 400000 5000 Q(Mm3/d)
Q(Mm Q(Mm3/ 3/d) d)
Pwf( Pwf(Kg/ Kg/Cm Cm2) 2)
0
180
48992
175
157617.9
160
273272.2
140
367629.1
120
444670.8
100
50623 2
80
553342.8
60
586626.9
40
606461.6
20
Curva #5 200 180 160 140
) 2 120 m C / 100 g K ( f 80 w P 60
40 20 0
0
100000
200000
300000
400000
Q(Mm3/d)
Q(Mm Q(Mm3/ 3/d) d)
Pwf( Pwf(Kg/ Kg/Cm Cm2) 2)
0
150
75894.6
140
Curva #6 160
18352 9
120
267691.4
100
333627.1
80
383569.9
60
402920.1
50
41864 9
40
430821.7
30
43948 5
20
140 120 ) 2 100 m C / 80 g K ( f 60 w P
40 20 0
0
50000 50 000 100 10000 0001500 0150000200 0020000025 0002500 0000300 003000003 0003 Q(Mm3/d)
Q(Mm Q(Mm3/ 3/d) d)
Pwf( Pwf(Kg/ Kg/Cm Cm2) 2) 0
120
107926.1
100
147485.4
90
181556.2
80
210834.8
70
235722.7
60
256477.1
50
273272.2
40
286228.7
30
295429.7
20
Curva #7 140 120 100
) 2 m 80 C / g K 60 ( f w P 40
20 0
0
50000
100000
150000
200000
Q(Mm3/d)
Q(Mm Q(Mm3/ 3/d) d)
Pwf( Pwf(Kg/ Kg/Cm Cm2) 2)
0
100
51980.2
90
72270.5
85
90637.1 107392.4
80 75
122718.1
70
14952 0
60
189428.7
40
203090.1
30
212764.3
20
Curva #8 120 100 ) 80 2 m C / 60 g K ( f w 40 P
20 0
0
50000
100000
150000
Pwf(Kg/Cm2)
Q(Mm Q(Mm3/ 3/d) d)
Pwf( Pwf(Kg/ Kg/Cm Cm2) 2)
0
80
23824
75
42317.7
70
80
58467.2
65
70
72836.7
60
85688.2
55
97173.7
50
107392.4
45
131050.4
30
14135 6
20
Curva IPR #9 90
) 2 m C / g K ( f w P
60 50 40 30 20 10 0
0
20000
40000
60000
80000
10000
Q(Mm3/d)
Q(Mm Q(Mm3/ 3/d) d)
Pwf( Pwf(Kg/ Kg/Cm Cm2) 2)
0
65
19757.7
60
34850.6
55
47789.1
50
59051.4
45
68859.7
40
77342.5
35
84582.7
30
90637.1
25
95545.9
20
Curva IPR #10 70 60 50
) 2 m 40 C / g K 30 ( f w P 20
10 0
0
20000
40000
60000
80
Q(Mm3/d)
Q(Mm Q(Mm3/ 3/d) d)
Pwf( Pwf(Kg/ Kg/Cm Cm2) 2)
0
50
15561.3
45
27134
40
36738.1
35
44761.7
30
51384.7
25
56709.2
20
60799
15
63695.1
10
65423.4
5
Curva IPR #11 60 50 ) 40 2 m C / 30 g K ( f w 20 P
10 0
0
10000
20000
30000
40000
Q Mm 3
000
1000000
1200000
000
1000000
1200000
000008000009000001000000
0 60 6000 0000 00 70 7000 0000 00 80 8000 0000 00
0000 00 000 0
6000 60 0000 00
7000 70 0000 00
50000400000450000500000
2500 25 0000 00
3000 30 0000 00
200000
3500 35 0000 00
250000
0
1200 12 0000 00 14 1400 0000 00 16 1600 0000 00
000
50000
100000
60000
120000
70000
Ptb(Kg/C Ptb(Kg/Cm2) m2)
µX106(L µX106(Lb/( b/(x x!g) !g)))
11 0
9 .9 1 1 5
10 0
9 .6 7 3 7
90
9 .4 7 5 3
80
9 .1 5 8 3
100
70
8 .9 2 0 4
80
60
8 .7 7 2 2
50
8 .5 6 3 6
! 60 P
45
8 .5 4 2 9
40
P! "$ " 120
20 0 8.4
8.6
8.8
9 "
Caudal Gas
Ptf(psia)
Ptf (kg/cm2)
Ptf(psia)
1138.4
80
853.8
Mm3/d
MMcfd
f
Pwf
P
25
0.883
0.00578
1352.85
95.11
1015.05
50
1.766
0.00552
1354.86
95.26
1017.72
100
3.531
0.00528
1362.49
95.79
1027.86
250
8.829
0.00498
1411.99
99.27
1092.63
500
17.657
0.00476
1568.71
110.29
1288.79
750
26.486
0.00463
1792.91
126.05
1553.92
1000
35.315
0.00455
2060.84
144.89
1856.66
1200
42.378
0.00449
2295.72
161.41
2114.34
1300
45.909
0.00447
2418.04
170.01
2246.56
1350
47.675
0.00446
2480.2
174.38
2313.33
%&'%dad
9.2
9.4
9.6
9.8
10
%&'%dad
Ptf (kg/cm2)
Ptf(psia)
Ptf (kg/cm2)
Ptf(psia)
Ptf (kg/cm2)
60
56.2
40
355.!5
25
f
P wf
P wf
71.37
677.49
47.63
424.81
29.87
71.55
681.48
47.91
431.15
30.31
72.27
696.54
48.97
454.57
31.96
76.82
788.99
55.47
586.49
41.23
90.61
1043.86
73.39
900.62
63.32
109.25
1357.69
95.46
1250.92
87.95
130.54
1695.84
119.23
1611.62
113.31
148.65
1974.61
138.83
1902.78
133.78
157.95
2115.59
148.74
2048.7
144.04
162.64
2186.36
153.72
2121.7
149.17
0
246
0
235.5
0
22 5
260522.6
220
162853.2
220
232396.2
20 0
411949
200
322063.2
200
371623.8
18 0
541891.6
180
456052.1
180
489675.4
16 0
654265.7
160
571023.7
160
590353.4
14 0
751051.8
140
669632.3
140
675554.1
12 0
833438.9
120
753354.9
120
746402.5
10 0
902206.6
100
823118.8
100
803625.8
80
1017675.7
50
940068.2
50
864938.8
50
1049649.3
20
972415.9
20
897683.4
20
0
202.5
0
180
0
1 50
0
120
29900.3
20 0
48992
175
75894.6
140
107926.1
100
193468.8
18 0
157617.9
160
183529
120
147485.4
90
321084.3
16 0
273272.2
140
267691.4
100
181556.2
80
427457.7
14 0
367629.1
120
333627.1
80
210834.8
70
516486.1
12 0
444670.8
100
383569.9
60
235722.7
60
590043
10 0
506232
80
402920.1
50
256477.1
50
649213.1
80
553342.8
60
418649
40
273272.2
40
712418.2
50
586626.9
40
430821.7
30
286228.7
30
746102.7
20
606461.6
20
439485
20
295429.7
20
300
250
200
) 2 m C / g K (
150
f w P
100
50
0
0
50
15 15561.3
45
55
27 2 713 4
40
47789.1
50
36 36738.1
35
60
59051.4
45
44 44761.7
30
85688.2
55
68859.7
40
51 51384.7
25
60
97173.7
50
77342.5
35
56 56709.2
20
189428.7
40
107392.4
45
84582.7
30
60 6 079 9
15
203090.1
30
131050.4
30
90637.1
25
63 63695.1
10
212764.3
20
141356
20
95545.9
20
65 65423.4
5
0
10 0
0
80
0
65
51980.2
90
23824
75
19757.7
60
72270.5
85
42317.7
70
34850.6
90637.1
80
58467.2
65
107392.4
75
72836.7
122718.1
70
149520
CM MP PR R*MI+ *MI+, , - C, C,R*PR R*PR+ +.I, + P -*CIMI+, * +.P+R*,*
109.2 90.57 71.5272.23 71.33 47.8948.95 47.61 30.3 31.94 29.85
76.78 55.45 41.22
73.36 63.29
95.41 87.91
200000
400000
600000
800000 Q (m3/d)
100000
25"000
95.07
25"000
71.33
2 5 "0 0 0
47.61
25"000
29.85
50"000
95.21
50"000
71.52
5 0 "0 0 0
47.89
50"000
30.3
100"000
95.75
100"000
72.23
1 0 0 "0 0 0
48.95
100"000
31.94
250"000
99.23
250"000
76.78
2 5 0 "0 0 0
55.45
250"000
41.22
500"000
110.24
500"000
90.57
5 0 0 "0 0 0
73.36
500"000
63.29
750"000
12 6
750"000
109.2
7 5 0 "0 0 0
95.41
750"000
87.91
1"000"000
144.82
1"000"000
130.48
1"000"000
119.17
1"000"000
1 1 3 .2 6
1"200"000
161.33
1"200"000
148.58
1"200"000
138.76
1"200"000
1 3 3 .7 2
1"300"000
169.93
1"300"000
157.88
1"300"000
148.67
1"300"000
1 4 3 .9 7
1"350"000
174.29
1" 1"350"000
162.57
1" 1"350"000
153.64
1" 1"350"000
149.1
PRM PRM+I +I
148.58 138.76 130.48 119.17 113.26
157.88 153.64 149.1 143.97
0
1200000
1400000
1600000
*' 0
2 46
1
239.6
129
80
3.18
0.18
0
2
233.3
127
80
3.18
0.18
0
3
227.2
124
80
3.18
0.18
0
4
217.2
120
60
5.3
0.3
0
5
207.4
102
60
5.3
0.3
0
6
197.9
98
60
5.3
0.3
0
7
188.5
94
60
5.3
0.3
0
8
179.4
90
25
5.3
0.3
0
9
164.9
62
25
8.48
0.48
0
10
150.8
55
25
8.48
0.48
0
11
136.8
50
25
8.48
0.48
0
12
122.9
44
25
8.48
0.48
0
13
110.9
40
25
7.42
0.42
0
14
100.5
38
25
6.36
0.36
0
15
91.9
36
25
5.3
0.3
0
16
84.4
34
25
4.56
0.26
0
17
73.2455882
14.375
0 .4 4
0
18
62. 62.4323 432352 529 9 6.92 6.9264 6470 7058 588 8 2.36029412 7.99029412 0.45279412 51.6 51.619 1911 1176 76 #0.5 #0.522 2205 0588 8824 24 #2.0294118 8.21558824 0.46558824 40.8 40.805 0588 8824 24 #7.9 #7.970 7058 5882 8235 35 #6.4191176 8.44088235 0.47838235
0
29.9 29.992 9264 6471 71 #15. #15.41 4191 9117 1765 65 #10.808824 8.66617647 0.49117647 19.1 19.179 7941 4118 18 #22. #22.86 8676 7647 4706 06 #15.198529 8.89147059 0.50397059 8.36 8.3661 6176 7647 47 #30. #30.31 3161 6176 7647 47 #19.588235 9.11676471 0.51676471
0
#2. #2.4470 447058 588 8 #37. #37.76 7647 4705 0588 88 #23.977941 9.34205882 0.52955882 #13. #13.26 2602 0294 94 #45. #45.21 2132 3235 3529 29 #28.367647 9.56735294 0.54235294 #24. #24.07 0735 3529 29 #52. #52.66 6617 1764 6471 71 #32.757353 9.79264706 0.55514706
0
#34. #34.88 8867 6765 65 #60. #60.11 1102 0294 9412 12 #37.147059 10.0179412 0.56794118 #45.7 #6 # 67.55882353 #41.536765 10.2432353 0.58073529 #56. #56.51 5132 3235 35 #75. #75.00 0073 7352 5294 94 #45.926471 10.4685294 0.59352941
0
#67. #67.32 3264 6471 71 #82. #82.45 4558 5882 8235 35 #50.316176 10.6938235 0.60632353 #78. #78.13 1397 9706 06 #89. #89.90 9044 4411 1176 76 #54.705882 10.9191176 0.61911765
0
19 20 21 22 23 24 25 26 27 28 29 30 31
Pwf (Kg/Cm2)
P (Kg/Cm2)
Cauda R%d' Cauda Pr'du&%d' -a&%m%' R%&&%' (MMm3/d)
Pw (Kg/Cm2)
6.75
7.765
0 0 0 0 0 0 0 0 0
"'um Cauda P'' Q ma%m' Ca;dad *&umuad' Pr'md%' :'r :'' P'' *' (MMm3) (MMm3/d) (MMm3/d)
Ca;dad P'' *&um$
Cauda mada
"'$ *ua Pr'du&%d'
3
1160.7
1160.7
0.747
0 .7 4 7
5
5
3
1160.7
2321.4
0.711
0 .7 1 1
0
5
3
1160.7
3482.1
0.676
0 .6 7 6
0
5
5
1934.5
5416.6
0.62
0 .6 2
5
10
5
1934.5
7351.1
0.617
0 .6 1 7
0
10
5
1934.5
9285.6
0.567
0 .5 6 7
1
11
5
1934.5
11220.1
0.519
0 .5 1 9
1
12
5
1934.5
13154.6
0.472
0 .4 7 2
1
13
8
3095.2
16249.8
0.461
0 .4 6 1
8
21
8
3095.2
19345
0.397
0 .3 9 7
4
25
8
3095.2
22440.2
0.337
0 .3 3 7
4
29
8
3095.2
25 25535.4
0.28
0 .2 8
6
35
7
2708.3
28243.7
0.233
0 .2 3 3
2
37
6
2321.4
30565.1
0.195
0 .1 9 5
0
37
5
1934.5
32499.6
0.165
0 .1 6 5
0
37
4.3
1663.7
34163.3
0.141
0 .1 4 1
0
37
7.325 7.5375 7.75 7.9625 8.175 8.3875 8.6 8.8125 9.025 9.2375 9.45 9.6625 9.875 10.0875 10.3
1.95 4 3 .1 0.08 0.0855 5525 25 2916.266912 2916.266912 38912.19 38912.1912 12 0.04310147 0.04310147 0.04310147 0.04310147 1.90735294 45.7514706 2998.483824 2998.483824 41281.6699 41281.6699 0.00067794 0.00067794 0.00067794 0.00067794 1.86470588 48.4029412 3080.700735 3080.700735 43651.1485 43651.1485 #0.0417456 #0.0417456 #0.0417456 1.82205882 51.0544118 3162.917647 3162.917647 46020.6272 46020.6272 #0.0841691 #0.0841691 #0.0841691 1.77941176 53.7058824 2834 2834.0 .05 5 3654 36542. 2.71 7125 25
0.08 0.0855 5525 25
3245.134559 3245.134559 48390.1059 48390.1059 #0.1265926 #0.1265926 #0.1265926 1.73676471 56.3573529 3327.351471 3327.351471 50759.5846 50759.5846 #0.1690162 #0.1690162 #0.1690 #0.1690162 162 1.69411765 59.0088235 3409.568382 3409.568382 53129.0632 53129.0632 #0.2114397 #0.2114397 #0.2114397 1.65147059 61.6602941 3491.785294 3491.785294 55498.5419 55498.5419 #0.2538632 #0.2538632 #0.2538632 1.60882353 64.3117647 3574.002206 3574.002206 57868.0206 57868.0206 #0.2962868 #0.2962868 #0.2962868 1.56617647 66.9632353 3656.219118 3656.219118 60237.4993 60237.4993 #0.3387103 #0.3387103 #0.3387103 #0.3387103 1.52352941 69.6147059 3738.436029 3738.436029 62606.9779 62606.9779 #0.3811338 #0.3811338 #0.3811338 1.48088235 72.2661765 3820.652941 3820.652941 64976.4566 64976.4566 #0.4235574 #0.4235574 #0.4235575 1.43823529 74.9176471 3902.869853 3902.869853 67345.9353 67345.9353 #0.4659809 #0.4659809 #0.4659809 #0.4659809 1.39558824 77.5691176 3985.0 3985.08676 86765 5 69715. 69715.414 414 #0.50 #0.50840 84044 44 #0.5084 #0.5084044 044 1.35294118 80.2205882
Pwf (Kg/Cm2)
P (Kg/Cm2)
Cauda R%d' Cauda Pr'du&%d' -a&%m%' R%&&%' (MMm3/d)
*'
Pw (Kg/Cm2)
0
2 46
1
239.6
1 29
80
3.18
0.18
0
2
233.3
1 27
80
3.18
0.18
0
3
227.2
1 24
80
3.18
0.18
0
4
217.2
1 20
60
5.3
0.3
0
5
207.4
1 02
60
5.3
0.3
0
6
197.9
98
60
5.3
0.3
0
7
188.5
94
60
5.3
0.3
0
8
179.4
90
25
5.3
0.3
0
9
164.9
62
25
8.48
0.48
0
10
150.8
55
25
8.48
0.48
0
11
136.8
50
25
8.48
0.48
0
12
122.9
44
25
8.48
0.48
0
13
110.9
40
25
7.42
0.42
0
14
100.5
38
25
6.36
0.36
0
15
91.9
36
25
5.3
0.3
0
16
84.4
34
25
4.56
0.26
0
0.44
0
17
73.24
32 32
25
0.1066
18
60.88
30 30
25
0
19
48.53
25 25
25
20
36.34
20 20
25
0.7298 0.45279412 0.0479 0.46558824 0.0276 0.47838235
21
24.5
15 15
25
0
22
12.68
10 10
25
0.0126 0.49117647 0.002614 0.50397059
0 0 0
Cauda mada
"'um Cauda P'' Q ma%m' "'$ *ua Ca;dad *&umuad' Pr'md%' :'r :'' Pr'du&%d' P'' *' (MMm3) (MMm3/d) (MMm3/d)
Ca;dad P'' *&um$
3
1 1 6 0 .7
1160.7
0.747
0 .7 4 7
5
5
3
1 1 6 0 .7
2321.4
0.711
0 .7 1 1
0
5
3
1 1 6 0 .7
3482.1
0.676
0 .6 7 6
0
5
5
1 9 3 4 .5
5416.6
0.62
0.62
5
10
5
1 9 3 4 .5
7351.1
0.617
0 .6 1 7
0
10
5
1 9 3 4 .5
9285.6
0.567
0 .5 6 7
1
11
5
1 9 3 4 .5
11220.1
0.519
0 .5 1 9
1
12
5
1 9 3 4 .5
13154.6
0.472
0 .4 7 2
1
13
8
3 0 9 5 .2
16249.8
0.461
0 .4 6 1
8
21
8
3 0 9 5 .2
19345
0.397
0 .3 9 7
4
25
8
3 0 9 5 .2
22440.2
0.337
0 .3 3 7
4
29
8
3 0 9 5 .2
25535.4
0.28
0.28
6
35
7
2 7 0 8 .3
28243.7
0.233
0 .2 3 3
2
37
6
2 3 2 1 .4
30565.1
0.195
0 .1 9 5
0
37
5
1 9 3 4 .5
32499.6
0.165
0 .1 6 5
0
37
4.3
1 6 6 3 .7
34163.3
0.141 1660 36542.7125 0.1066 1606 38912.1912 0.7298 1533 41281.6699 0.0479
0 .1 4 1
0
37
0.107
0
37
0.073
0
37
0.044
0
37
1460 43651.1485 0.0276 1387 46020.6272 0.0126 1204.5 48390.1059 0.002614
0.020
0
37
0.007
0
37
0.003
0
37
4 3.8 3 3.4 3 3
Cauda Pr'du&%d' (MMm3/d)
*' 0 1
3 .1 8
2
3 .1 8
3
3 .1 8
4
5.3
5
5.3
6
5.3
7
5.3
8
5.3
9
8 .4 8
10
8 .4 8
11
8 .4 8
12
8 .4 8
13
7 .4 2
14
6 .3 6
15
5.3
16
4 .5 6
17 18
19 20
21
10
7.765
8
7.9902941 8 .2 1 5 5 8 8 2
6
8.4408824
12
8.661765
22
8.8914706
23
9.1167647
24
9.3420588
25
9.5673529
26
9.7926471
27
10.017941
28
10.243235
29 30
10.468529 10.693824
31
10.919118
4 2 0
0
5
C$%d$& Pd%*+d (MMm3/d)
10
15
20
25
30
35
C$%d$& P Pm!d+ (MMm3)
0.8
1
0.747
0.7
2
0.711
3
0.676
,-
4
0.62
5
0.617
6
0.567
7
0.519
8
0.472
9
0.461
10
0.397
11
0.337
12
0.28
13
0.233
14
0.195
15
0.165
16
0.141
*' "$
) 3 m M M ( ' % d 5 m ' r P ' 8 ' P 4 a d u a C
0.6 0.5 0.4 0.3 0.2 0.1 0
0
2
4
C$%d$& (MMm3)/d
,- 1
0 .1 2 6 1
2
0 .1 1 2 8
3
0.101
0.12
4
0 .0 9 0 3
5
0 .0 8 0 8
6
0 .0 7 2 3
6.8021
0 .0 6 6 2
0.1 d / ) 3 m 0.08 M M ( 4 0.06 a d u a 0.04 C
0.14
0.02 0
0
1
Cauda P' P'' ' Pr'md%'
6
8
10
12
14
16
18
7
8
*'
%m:' d v%da
2
3
4 *
5
6
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