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.docx

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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270

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230

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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

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