This new volume, the third in Wiley-Scrivener's series on formation testing, reviews pressure transient interpretation and contamination analysis methods, providing numerous practical discussions and examples with rigorous formulations solved through exact, closed form, analytical solutions.
Table of ContentsPreface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vi
Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . viii
1. Formation Testing --Strategies, Capabilities and Solutions . . 1
1.1 Development Perspectives . . . . . . . . . . . . . . . . . . . 1
1.2 Basic Forward and Inverse Models . . . . . . . . . . . . . 4
1.3 Supercharge Forward and Inverse Models . . . . . . . . . 14
1.4 Multiple Drawdown and Buildup Inverse Models . . . . . 20
1.5 Multiphase Cleaning and Supercharge Model . . . . . . . 24
1.6 System Integration and Closing Remarks . . . . . . . . . 29
1.7 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
2. Supercharging --Forward Models and Inverse Solutions . . . . 31
2.1 Supercharge and Math Model Development . . . . . . . . 31
2.2 Supercharge Pressure and Ultimate Decay . . . . . . . . . 34
2.3 United States Patent 7,243,537 B2 . . . . . . . . . . . . . . 37
2.4 Forward and Inverse Models with Supercharging --
Drawdown-Only and Drawdown-Buildup Applications
and Illustrative Examples . . . . . . . . . . . . . . . . . . . 69
2.4.1 General Ideas in Formation Testing
Formulations . . . . . . . . . . . . . . . . . . . . . . . 69
2.4.2 Mathematical Formulation . . . . . . . . . . . . . . . 73
2.5 Drawdown Only Applications . . . . . . . . . . . . . . . . . 78
2.5.1 Example DD-1, High Overbalance . . . . . . . . . . 78
2.5.2 Example DD-2, High Overbalance . . . . . . . . . . 84
2.5.3 Example DD-3, High Overbalance . . . . . . . . . . 88
2.5.4 Example DD-4, Qualitative Pressure Trends . . . . 92
2.5.5 Example DD-5, Qualitative Pressure Trends . . . . 95
2.5.6 Example DD-6, Drawdown-Only -- Data with Multiple
Inverse Scenarios for 1 md/cp Application . . . . . 97
2.5.7 Example DD-7, Drawdown-Only -- Data with Multiple
Inverse Scenarios for 0.1 md/cp Application . . . . 102
2.6 Drawdown --Buildup Applications . . . . . . . . . . . . . 107
2.6.1 Example DDBU-1, Drawdown-Buildup, High
Overbalance . . . . . . . . . . . . . . . . . . . . . . . 107
2.6.2 Example DDBU-2, Drawdown-Buildup, High
Overbalance . . . . . . . . . . . . . . . . . . . . . . . 111
2.6.3 Example DDBU-3, Drawdown-Buildup, High
Overbalance . . . . . . . . . . . . . . . . . . . . . . . 114
2.6.4 Example DDBU-4, Drawdown-buildup, 1 md/cp
Calculations . . . . . . . . . . . . . . . . . . . . . . . 118
2.6.5 Example DDBU-5, Drawdown-buildup, 0.1 md/cp
Calculations . . . . . . . . . . . . . . . . . . . . . . . 122
2.7 Supercharged Anisotropic Flow Simulation Model . . . . 127
2.8 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
3. Pressure Transient Analysis --Multirate Drawdown and
Buildup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132
3.1 Multirate Drawdown and Buildup Applications . . . . . . 133
3.1.1 Monitoring, Testing, Treatment and Retest . . . . 134
3.1.2 Hydrate Characterization and Production . . . . . 138
3.2 Detailed Validations with Exact Solutions . . . . . . . . . 142
3.2.1 Validation of PTA-App-01 Inverse Model . . . . 144
3.2.2 Validation of PTA-App-02 Inverse Model . . . . 148
3.2.3 Validation of PTA-App-03 Inverse Model . . . . 156
3.2.4 Validation of PTA-App-04 Inverse Model . . . . 163
3.2.5 Validation of PTA-App-05 Inverse Model . . . . 172
3.2.6 Validation of PTA-App-06 Inverse Model . . . . 177
3.2.7 Validation of PTA-App-07 Inverse Model . . . . 182
3.2.8 Validation of PTA-App-08 Inverse Model . . . . 187
3.2.9 Validation of PTA-App-09 Inverse Model . . . . 192
3.2.10 Validation of PTA-App-10 Inverse Model . . . . 197
3.2.11 Validation of PTA-App-11 Inverse Model . . . . 202
3.3 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219
4. Practical Applications and Examples . . . . . . . . . . . . . . . 221
4.1 Review Objectives . . . . . . . . . . . . . . . . . . . . . . . 221
4.2 Practical Applications and Examples . . . . . . . . . . . . 222
4.2.1 Isotropic Medium Pressure Testing . . . . . . . . 222
4.2.1.1 Steady-state method . . . . . . . . . . . . 222
4.2.1.2 Drawdown-buildup method . . . . . . . . 226
4.2.1.3 Drawdown only method . . . . . . . . . . 230
4.2.2 Anisotropic Media Pressure Testing
(Using FT-01) . . . . . . . . . . . . . . . . . . . . . 232
4.2.3 Supercharge Effects in Drawdown-Buildup . . . 240
4.2.4 Supercharge Mechanics in Detail --
Reservoir Fluid More Viscous Than Mud . . . . . 250
4.2.5 Supercharge Mechanics in Detail --
Reservoir Fluid Less Viscous Than Mud . . . . . 261
4.2.6 Supercharge Mechanics in Detail --
Reservoir Fluid Viscosity Equals Mud
Viscosity . . . . . . . . . . . . . . . . . . . . . . . . 264
4.2.7 Perfectly Balanced Well, Mechanics in Detail --
Reservoir Fluid Viscosity Equals Mud
Viscosity . . . . . . . . . . . . . . . . . . . . . . . . 266
4.2.8 Underbalance Mechanics in Detail --
Reservoir Fluid Viscosity Equals Mud
Viscosity . . . . . . . . . . . . . . . . . . . . . . . . 268
4.2.9 Comparing Overbalance vs Underbalance
Pressures for Same Reservoir and Tool Pumping
Conditions . . . . . . . . . . . . . . . . . . . . . . . 270
4.2.10 Consequences of Non-Performing Pump Piston . 284
4.2.11 Batch Processing Using FT-00 . . . . . . . . . . . 291
4.2.12 Depth of Investigation Using FT-00 DOI
Function . . . . . . . . . . . . . . . . . . . . . . . . . 296
4.2.13 History Matching Using FT-06 Batch Mode . . . 306
4.2.13.1 Operating FT-06 batch simulator . . . . 308
4.2.13.2 Source code documentation
(color coded) . . . . . . . . . . . . . . . . 313
4.2.13.3 A final example --concise operational
summary . . . . . . . . . . . . . . . . . . 328
4.2.14 Gas Pumping . . . . . . . . . . . . . . . . . . . . . . 334
4.2.14.1 Several field notes . . . . . . . . . . . . 334
4.2.14.2 Review of steady-state direct and inverse
methods . . . . . . . . . . . . . . . . . . . 335
4.2.14.3 Transient gas calculations . . . . . . . . 338
4.3 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 342
5. Best Practices and Closing Remarks . . . . . . . . . . . . . . . . 343
5.1 Best Practices . . . . . . . . . . . . . . . . . . . . . . . . . . 343
5.2 Recommended Reading . . . . . . . . . . . . . . . . . . . . 351
Cumulative References . . . . . . . . . . . . . . . . . . . . . . . . . 352
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 363
About the Author . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 369
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