油藏数值模拟刘月田上机作业.docx
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油藏数值模拟刘月田上机作业
中国石油大学(北京)
研究生《油藏数值模拟》课程上机作业一
油藏的储层参数分布附图所示,W1井网格位置为(4,7),W2井位置为(7,5)。
任务:
独立编制计算机程序完成第五章渗流问题的模拟求解。
具体要求:
(一)使用显式和隐式两种方法。
(二)输出油藏投产后如下时刻的压力分布、w1井底流压和w2井产油量:
初始时刻、10天、1个月、2个月、1个季度、半年、1年、2年、5年;给出压力刚好达到稳定的时刻及其压力分布、w1井底流压和w2井产油量。
(三)对照
(二)中内容,比较分析显式和隐式两种方法的计算过程及结果有何不同。
(四)建议计算过程用国际单位制,输出的结果中压力用MPa,产量用m3/d。
(五)作业完成形式。
要求三个电子文档:
1.综合结果报告,word文档;
2.显式求解方法源程序;
3.隐式求解方法源程序。
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222
200
190
180
185
340
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附图油藏的储层参数分布
(1)厚度分布=附图中数据÷50,单位:
m
(2)渗透率分布=附图中数据,单位:
(3)孔隙度分布=(附图中数据×0.02+15)%,无单位。
综合结果报告
一.基础数据
;
二.显式法求解
以下为运用显示求解法得到的不同时刻、不同网格压力分布。
(1)初始时刻
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
W1井井底流压Pwf=18.6669Mpa
W2井产油量Q=93.5894m3/d
(2)10天
19.3942
19.3323
19.2107
19.0727
19.0106
18.9850
19.4327
19.3597
19.2001
18.9911
18.9672
18.9510
19.5089
19.4298
19.2209
18.7456
18.9157
18.8948
19.6374
19.5815
19.4406
19.2211
19.0706
18.8086
18.381
18.5058
18.6211
19.8076
19.7789
19.6917
19.5144
19.2716
18.8286
17.8967
18.5136
18.7240
20
20
20
19.7700
19.5348
19.2376
18.8972
18.9506
19.0291
20
19.7648
19.5724
19.4094
19.3726
19.3867
20
19.9026
19.8178
19.7575
19.7349
19.7242
20
20
20
20
20
20
W1井井底流压Pwf=17.4126Mpa
W2井产油量Q=54.2204m3/d
(3)1个月
19.3942
19.3324
19.2108
19.0727
19.0106
18.985
19.4328
19.3597
19.2002
18.9911
18.9673
18.9511
19.5089
19.4298
19.221
18.7457
18.9158
18.8949
19.6374
19.5816
19.4407
19.2211
19.0706
18.8087
18.381
18.5058
18.6212
19.8077
19.7789
19.6917
19.5145
19.2716
18.8287
17.8967
18.5137
18.7241
20
20
20
19.7701
19.5349
19.2377
18.8973
18.9507
19.0291
20
19.7648
19.5724
19.4094
19.3727
19.3867
20
19.9026
19.8178
19.7575
19.7349
19.7242
20
20
20
20
20
20
W1井井底流压Pwf=17.3554Mpa
W2井产油量Q=53.8762m3/d
(4)2个月
19.3233
19.2597
19.1355
18.9943
18.929
18.9013
19.3691
19.2948
19.1329
18.9209
18.894
18.8756
19.457
19.3772
19.1663
18.6883
18.8557
18.8338
19.6005
19.5444
19.4019
19.1804
19.0276
18.7679
18.3513
18.4784
18.5939
19.7886
19.7599
19.6714
19.4906
19.2454
18.8034
17.8783
18.4917
18.7006
20
20
20
19.7606
19.5207
19.2214
18.8811
18.9331
19.0107
20
19.7584
19.563
19.3987
19.3609
19.3744
20
19.9001
19.8138
19.7526
19.7295
19.7184
20
20
20
20
20
20
W1井井底流压Pwf=17.3552Mpa
W2井产油量Q=53.8752m3/d
(5)1个季度
19.3233
19.2597
19.1355
18.9943
18.929
18.9013
19.3691
19.2948
19.1329
18.9209
18.894
18.8756
19.457
19.3772
19.1663
18.6883
18.8557
18.8338
19.6005
19.5444
19.4019
19.1804
19.0276
18.7679
18.3513
18.4784
18.5939
19.7886
19.7599
19.6714
19.4906
19.2454
18.8034
17.8783
18.4917
18.7006
20
20
20
19.7606
19.5207
19.2214
18.8811
18.9331
19.0107
20
19.7584
19.563
19.3987
19.3609
19.3744
20
19.9001
19.8138
19.7526
19.7295
19.7184
20
20
20
20
20
20
W1井井底流压Pwf=17.3552Mpa
W2井产油量Q=53.8752m3/d
(6)半年
19.3233
19.2597
19.1355
18.9943
18.929
18.9013
19.3691
19.2948
19.1329
18.9209
18.894
18.8756
19.457
19.3772
19.1663
18.6883
18.8557
18.8338
19.6005
19.5444
19.4019
19.1804
19.0276
18.7679
18.3513
18.4784
18.5939
19.7886
19.7599
19.6714
19.4906
19.2454
18.8034
17.8783
18.4917
18.7006
20
20
20
19.7606
19.5207
19.2214
18.8811
18.9331
19.0107
20
19.7584
19.563
19.3987
19.3609
19.3744
20
19.9001
19.8138
19.7526
19.7295
19.7184
20
20
20
20
20
20
W1井井底流压Pwf=17.3552Mpa
W2井产油量Q=53.8752m3/d
(7)1年
19.3233
19.2597
19.1355
18.9943
18.929
18.9013
19.3691
19.2948
19.1329
18.9209
18.894
18.8756
19.457
19.3772
19.1663
18.6883
18.8557
18.8338
19.6005
19.5444
19.4019
19.1804
19.0276
18.7679
18.3513
18.4784
18.5939
19.7886
19.7599
19.6714
19.4906
19.2454
18.8034
17.8783
18.4917
18.7006
20
20
20
19.7606
19.5207
19.2214
18.8811
18.9331
19.0107
20
19.7584
19.563
19.3987
19.3609
19.3744
20
19.9001
19.8138
19.7526
19.7295
19.7184
20
20
20
20
20
20
W1井井底流压Pwf=17.3552Mpa
W2井产油量Q=53.8752m3/d
(8)2年
19.3233
19.2597
19.1355
18.9943
18.929
18.9013
19.3691
19.2948
19.1329
18.9209
18.894
18.8756
19.457
19.3772
19.1663
18.6883
18.8557
18.8338
19.6005
19.5444
19.4019
19.1804
19.0276
18.7679
18.3513
18.4784
18.5939
19.7886
19.7599
19.6714
19.4906
19.2454
18.8034
17.8783
18.4917
18.7006
20
20
20
19.7606
19.5207
19.2214
18.8811
18.9331
19.0107
20
19.7584
19.563
19.3987
19.3609
19.3744
20
19.9001
19.8138
19.7526
19.7295
19.7184
20
20
20
20
20
20
W1井井底流压Pwf=17.3552Mpa
W2井产油量Q=53.8752m3/d
(9)5年
19.3233
19.2597
19.1355
18.9943
18.929
18.9013
19.3691
19.2948
19.1329
18.9209
18.894
18.8756
19.457
19.3772
19.1663
18.6883
18.8557
18.8338
19.6005
19.5444
19.4019
19.1804
19.0276
18.7679
18.3513
18.4784
18.5939
19.7886
19.7599
19.6714
19.4906
19.2454
18.8034
17.8783
18.4917
18.7006
20
20
20
19.7606
19.5207
19.2214
18.8811
18.9331
19.0107
20
19.7584
19.563
19.3987
19.3609
19.3744
20
19.9001
19.8138
19.7526
19.7295
19.7184
20
20
20
20
20
20
W1井井底流压Pwf=17.3552Mpa
W2井产油量Q=53.8752m3/d
(10)稳定时刻t=36d
19.3233
19.2597
19.1355
18.9943
18.929
18.9013
19.3691
19.2948
19.1329
18.9209
18.894
18.8756
19.457
19.3772
19.1663
18.6883
18.8557
18.8338
19.6005
19.5444
19.4019
19.1804
19.0276
18.7679
18.3513
18.4784
18.5939
19.7886
19.7599
19.6714
19.4906
19.2454
18.8034
17.8783
18.4917
18.7006
20
20
20
19.7606
19.5207
19.2214
18.8811
18.9331
19.0107
20
19.7584
19.563
19.3987
19.3609
19.3744
20
19.9001
19.8138
19.7526
19.7295
19.7184
20
20
20
20
20
20
W1井井底流压Pwf=17.3552Mpa
W2井产油量Q=53.8752m3/d
三.隐式法求解
以下为运用显示求解法得到的不同时刻、不同网格压力分布。
(1)初始时刻
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
W1井井底流压Pwf=18.6669Mpa
W2井产油量Q=93.5893m3/d
(2)10天
19.4489
19.3914
19.2781
19.15
19.0963
19.0757
19.4832
19.4145
19.2636
19.0651
19.05
19.0395
19.5517
19.4765
19.2762
18.8126
18.9925
18.9789
19.6689
19.616
19.4823
19.2733
19.1355
18.8856
18.4676
18.6064
18.7294
19.8243
19.7972
19.7153
19.5491
19.3196
18.8895
17.9593
18.5997
18.8195
20
20
20
19.7866
19.5663
19.2834
18.9546
19.0203
19.1046
19.7815
19.6013
19.4482
19.4195
19.4374
19.9098
19.8312
19.7753
19.7562
19.7479
20
20
20
20
20
W1井井底流压Pwf=17.4795Mpa
W2井产油量Q=55.3924m3/d
(3)1个月
19.3418
19.2788
19.1557
19.0157
18.9517
18.9248
19.3858
19.312
19.151
18.9402
18.9146
18.8971
19.4707
19.3912
19.1812
18.7044
18.873
18.8518
19.6103
19.5544
19.4126
19.1921
19.0405
18.781
18.3624
18.4901
18.6063
19.7937
19.7651
19.6771
19.4976
19.2537
18.8121
17.8855
18.5013
18.7114
20
20
20
19.7636
19.5255
19.2274
18.8877
18.9409
19.0192
20
19.7607
19.5667
19.4032
19.3662
19.3802
20
19.9011
19.8154
19.7547
19.732
19.7211
20
20
20
20
20
20
W1井井底流压Pwf=17.3713Mpa
W2井产油量Q=54.0099m3/d
(4)2个月
19.3258
19.2622
19.1382
18.9971
18.9319
18.9043
19.3714
19.2971
19.1353
18.9234
18.8966
18.8784
19.4589
19.3791
19.1683
18.6904
18.8579
18.836
19.6018
19.5457
19.4033
19.1819
19.0293
18.7695
18.3525
18.4796
18.5951
19.7893
19.7606
19.6721
19.4915
19.2464
18.8044
17.879
18.4926
18.7017
20
20
20
19.761
19.5212
19.2221
18.8818
18.9339
19.0115
20
19.7587
19.5634
19.3992
19.3614
19.375
20
19.9002
19.8139
19.7528
19.7298
19.7186
20
20
20
20
20
20
W1井井底流压Pwf=17.3573Mpa
W2井产油量Q=53.8897m3/d
(5)1个季度
19.3236
19.26
19.1358
18.9946
18.9293
18.9016
19.3694
19.295
19.1331
18.9212
18.8943
18.876
19.4572
19.3774
19.1665
18.6885
18.8559
18.834
19.6007
19.5445
19.402
19.1806
19.0278
18.7681
18.3514
18.4785
18.594
19.7887
19.76
19.6715
19.4907
19.2455
18.8035
17.8784
18.4918
18.7007
20
20
20
19.7606
19.5207
19.2215
18.8812
18.9332
19.0108
20
19.7585
19.5631
19.3988
19.3609
19.3745
20
19.9001
19.8138
19.7526
19.7296
19.7184
20
20
20
20
20
20
W1井井底流压Pwf=17.3555Mpa
W2井产油量Q=53.8767m3/d
(6)半年
19.3233
19.2596
19.1355
18.9942
18.9289
18.9012
19.3691
19.2947
19.1328
18.9208
18.8939
18.8756
19.457
19.3772
19.1663
18.6883
18.8556
18.8337
19.6005
19.5444
19.4019
19.1804
19.0276
18.7679
18.3512
18.4784
18.5939
19.788