
Multiprobe Pressure Analysis and Interpretation
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Numerous subjects are discussed, such as pressure transient analyses with multiple operating probes, supercharge analysis with invasion and mudcake buildup, accurate and rapid calculations that allow more than 1,000 simulations per minute, extremely rapid batch mode calculations using convergence acceleration methods, rapid fluid withdrawal with minimal dissolved gas release, dip angle, heterogeneity and anisotropy evaluation, and many other topics. In addition, tool operation sequences, detailed engineering and design functions, field test procedures and laboratory facilities, are discussed and illustrated in photographs that go "behind the scenes" at one of the world's largest international oil service companies. The book hopes to educate new engineers and veteran engineers alike in hardware and software design at a time when increasing efficiency is crucial and "doing more with less" represents the new norm.
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Tao Lu, PhD, Vice President, China Oilfield Services Limited, leads the company's logging and directional well R&D activities, also heading its formation testing research, applications and marketing efforts. Mr. Lu is the recipient of numerous awards, including the National Technology Development Medal, National Engineering Talent and State Council Awards, and several COSL technology innovation prizes.
Minggao Zhou, Senior Mechanical Engineer at COSL's Oil Field Technology Research Institute, holds a Master's Degree in Engineering and leads the company's formation testing project team. He has worked extensively in research and development over the past two decades and has participated in several National Five Year Programs. His professional interests span a wide range of well logging instruments, presently focusing on formation testing design and interpretation.
Yongren Feng is a Professor Level Senior Engineer and Chief Engineer at the Oilfield Technology Research Institute of China Oilfield Services Limited. He has been engaged in the research and development of offshore oil logging instruments for three decades, mainly responsible for wireline formation testing technology, electric core sampling methods and formation testing while drilling (FTWD) tool development.
Yuqing Yang, PhD, Chief Engineer and Professor, Technology and Exploration, with China Oilfield Services Limited, is engaged in the research and management of geological applications of logging data. He has published several books, ten patents and sixty articles, winning a COSL Science and Technology Progress Award.
Wilson Chin earned his PhD from M.I.T. and his M.Sc. from Caltech. He has authored over twenty books with Wiley-Scrivener and other major scientific publishers, has more than four dozen domestic and international patents to his credit, and has published over one hundred journal articles, in the areas of reservoir engineering, formation testing, well logging, Measurement While Drilling, and drilling and cementing rheology. Inquiries: wilsonchin@aol.com.
Content
Preface xi
Acknowledgements xv
1 Formation Testing - Background, Perspectives and New Industry Requirements 1
1.1 Formation Testing - A Brief Introduction 1
1.2 Conventional Formation Testing Concepts 6
1.3 A New Triple Probe Tool - Design Concepts and Well Logging Advantages 7
1.3.1 Azimuthal flow signal strength (circumferential probes) 9
1.3.2 Axial signal strength (centerline oriented dual probes) 14
1.3.3 Hardware and software considerations simulation considerations 21
1.3.4 Closing remarks 24
1.4 References 24
2 Visual Tour in Formation Testing, Design and Manufacturing 25
2.1 Detailed Mechanical CAD Animation 26
2.2 From Drawing Board to Engineering Prototyping 35
2.3 Manufacturing Highlights and Production 39
2.4 Laboratory Facilities with Formation Testing Fixtures 40
2.5 Beijing Test Well and Logging Facilities 42
2.6 Tool Positioning in Beijing Test Well 44
2.7 Field Operations - Bohai Bay and Middle East 45
2.8 Closing Remarks 48
2.9 References 48
3 Triple Probe Formation Tester - from Idea to Design to Field Evaluation 49
3.1 Laboratory Highlights - Triple Probe Formation Tester 50
3.2 Triple Probe Close-ups in Field Test 53
3.3 Positioning the Tool in the Well 56
3.4 Example Pressure Testing Well Logs 59
3.5 References 61
4 Project Background - Analysis, Modeling and Interpretation 62
4.1 Well Logging Advantages 64
4.2 Math Model Perspectives 65
4.3 Related Formation Testing Literature 68
4.4 Background Schlumberger Results 71
4.5 Analysis of MDT Pressure Data 73
4.6 References 74
5 Dual Probe Analysis for Thamama Formation 76
5.1 Thamama Formation Problem Definition 76
5.2 FT-Multiprobe Simulation 78
5.3 FT-00 Forward Simulation 87
5.4 FT-01 Inverse Analysis 89
5.5 References 91
6 Dual Probe Application for Wara Formation 92
6.1 Wave Formation Data Description 92
6.2 FT-Multiprobe History Matching 93
6.3 FT-00 and FT-01 Analysis for Sink and Vertical Probe Data 100
6.4 References 103
7 Multiprobe Flow Modeling Strategies 104
7.1 Triple-probe Formation Testing Instrument 104
7.1.1 Background remarks 104
7.1.2 Multiprobe tool introduction 106
7.2 Dual and Triple-probe Steady Flow Modeling 112
7.2.1 Background - Sources, sinks, doublets and more 112
7.2.2 Modeling hierarchies 112
7.2.3 Exact steady flow pressure analysis 114
7.2.4 Exact streamline tracing and geometric analysis 117
7.2.5 Unbalanced doublet flows - a new approach 118
7.3 Transient Numerical Model 123
7.3.1 Simulator overview 123
7.3.2 Computational details 125
7.3.3 Flowline volume storage modeling 125
7.3.4 Active flowline volume coupling at observation probes 126
7.3.5 Mud filtrate invasion and supercharging, and underbalanced drilling 126
7.3.6 Periodicity conditions in flows from circular wells 127
7.4 References 130
8 Multiprobe Applications - Detailed Examples and Assessment 132
8.1 Drawdown for Round and Slot Nozzles With and Without Mud Filtrate Migration Through the Sandface 134
Example 1. Simple drawdown, round nozzle, no invasion 134
Example 2. Simple drawdown, round nozzle, invasion with supercharging, 200 psi overbalance 143
Example 3. Simple drawdown, round nozzle, invasion with strong supercharging, 2,000 psi overbalance 147
Example 4. Simple drawdown, round nozzle, underbalanced drilling, 100 psi underbalance 149
Example 5. Simple drawdown, slot nozzle, no invasion 151
Example 6. Simple drawdown, three pumping slot nozzles, no invasion 156
8.2 Highly Transient Applications, Drawdown and Buildup, Multiple Round or Slot Nozzles, No Invasion 160
Example 7. Simple drawdown and buildup, single round nozzle 160
Example 8. Three round nozzles executing drawdown and buildup simultaneously and independently, no invasion 165
Example 9. Two round nozzles, one withdrawing fluid, the second simultaneously injecting, no invasion 170
Example 10. Invasion or supercharge characterization in transient problems 174
8.3 Additional Topics 178
Example 11. A complicated simulation, effect of pore pressure in output displays 178
Example 12. Batch processing capabilities 183
Example 13. Spherical flow evaluation and geometric factors 191
viii Contents
Example 14. Pressure behavior at permeability extremes 194
Example 15. Comparing problems with and without supercharge 197
9 Special Topics - Gas Release, Convergence Acceleration, Big Data and Inverse Methods 200
9.1 Suppressing Dissolved Gas Release 201
Bubble point considerations 201
Example 1. Undesirable dissolved gas release 202
Example 2. Dissolved gas remains in solution 207
9.2 Steady Flow Convergence Acceleration for Interpretation Applications 212
Interpretation applications 213
Validating convergence accelerations 214
Big data inverse applications 219
9.3 Heterogeneity and Dip Detection Using Multiple Firings 219
9.4 Triple Probe Tools with Different Nozzle Geometries 225
9.5 Inverse Problems for Azimuthal and Axial Probe Applications 229
9.5.1 Azimuthal inverse problem 229
Steady flow forward calculations 231
Limited (kh,kv) range example 231
Inverse permeability predictions 241
Algorithm analysis 241
Wider (kh,kv) permeability example 247
Inverse method recapitulation 251
Data integrity in "big data" implementation 254
Azimuthal inverse strategies 256
9.5.2 Axial inverse problem for any dip angle 257
9.5.2.1 Dual probe anisotropy inverse analysis 257
Existing source model simulators 258
9.5.2.2 Supercharging - Effects of nonuniform initial pressure 267
Conventional zero supercharge model 268
Supercharge "Fast Forward" solver 269
9.5.2.3 Multiprobe "DOI," inverse and barrier analysis 275
9.6 Closing Remarks 282
9.7 References 283
Contents ix
10 Integrated Multiprobe Modeling System 284
Section 1 - General transient 3D simulator 286
10.1 Overall Capabilities and Enhancements 286
10.2 The "Steady" Check-box Option for Low and High Permeability Flows 291
10.3 Flows with Mixed Nozzle Designs and Different Pumping Schedules 294
Run 1. All round nozzles with staggered flow rates 294
Run 2. All slotted nozzles with staggered flow rates 296
Run 3. All slotted nozzles with identical flow rates 297
Run 4. Slot, round, slot combination with identical flow rates 300
Run 5. Round, slot, round combination with identical flow rates 301
10.4 Geometric Factor Role in Model and Tool Calibration 303
10.4.1 Model calibration 303
10.4.2 Tool and software calibration 306
10.5 Pad Nozzles with Different Orifice Sizes and Shapes 307
10.6 Pore Pressure Determination with Triple Probe Tool and Effects of Supercharge 309
Section 2 - Steady Simulator and Inverse Applications 312
10.7 Software Reference Overview 312
10.8 General Transient 3D Simulator in Batch Mode 315
10.9 Rapid Steady 3D Simulator in Batch Mode 319
10.10 Big Data Inverse Approach and Examples 333
10.10.1 Run 1. Center pumping probe, two observation probes with a first viscosity guess 333
10.10.2 Run 2. Center pumping probe, two observation probes with a second viscosity guess 348
10.10.3 Run 3. Three pumping probes in drawdown mode 350
10.10.4 Run 4. Two pumping probes in drawdown mode 359
10.11 Closing Remarks 361
Cumulative References 362
Index 377
About the Authors 387
1
Formation Testing - Background, Perspectives and New Industry Requirements
Oil and gas industry petrophysicists are well versed in well logging methodologies. And over the past several decades, a large suite of formation evaluation instruments have seen commercial introduction, tools measuring, for example, resistivity, sonic speed, gamma ray, nuclear magnetic resonance properties, and so on. We know what they measure, or at least, think we do. Take resistivity analysis. We intuitively conjure up images related to DC resistance, a property often highlighted by the differences in intensity associated with dim versus bright light bulbs. But the interpretation of measured quantities in reality depends on subtleties beyond the experience of even experienced analysts. For instance, one might ask, "How does invasion affect measurements and how are these corrected?" "Were predictions derived from phase or amplitude data?" Or, "How extensive was the simulation domain used to derive interpretation charts and what is its influence?"
1.1 Formation Testing - A Brief Introduction.
The point is, for just about all logging tools, analogous subtleties arise that are not easily addressed - measured data in all cases are indirect and subject to cross-checks between different tools, plus (hopeful) familiarity with the geological asset. When one of the authors asked Rob Kirby, an experienced directional driller in Houston, "Which logging measurement would you prefer, given all that are commercially available?" His response was, "I'd take formation testing any day." And the reason? It was obvious. The formation tester provides direct (and not inferred) observations of fluid properties: sample chambers transport actual liquid or gas samples to the surface for analysis, while properly interpreted pressure transient measurements yield mobility, the ratio of permeability to viscosity, and for multiprobe tools, the anisotropy ratio kh/kv - and, of course, there's compressibility and pore pressure.
Despite the importance of formation testers, noting that oil service companies derive significant percentages of their revenue from sampling and real-time pressure transient analysis operations, such tools command relatively low visibility at annual conferences and trade shows - the bulk of existing math modeling papers and patents, in fact, were published in prior decades and assumed some expertise on the part of the reader. Those new to the industry are taught logging basics. For instance, they readily identify resistivity tools as instruments with coils wrapped around drill collars; or, sonic instruments as tools with perforated slots in the metal body; or, gamma ray logging tools, as devices with trademark photo-multipliers and detectors.
But what does a "formation tester" look like? Are there multiple engineering concepts? What are their relative advantages and limitations? How do recent designs differ from earlier ones and how can these be improved? And what exactly underlies advanced tool design, that is, what analysis models are used to develop integrated mechanical and interpretation systems that ensure accurate measurements and predictions in the field? This book addresses these questions, and for completeness, starts with an initial review of prior industry work and also methodologies developed by the authors. The narrative supporting the initial portion of the text is mainly visual, an approach that conveys the greatest volume of information in the least amount of space, while for the latter, beginning with Chapter 7, we focus on three-dimensional quantitative models, computational details and very rigorous validations.
What started as a standalone review on "ideal source models," our scope of work during the early 2000s, has evolved into a companion volume due to Qin et al. (2021) which complements the multiprobe methods of the present book. Like the 3D methods above, source approaches are now routinely used in day-to-day analysis. Importantly, our expositions are deliberately readable - our analysis methods are explained in "plain English" terms with sufficient references to basic math and related prior art - with more than enough detail that motivated students should be able to produce equivalent software prototypes with minor effort. The authors hope that our two latest volumes will provide comprehensive, state-of-the-art reviews for students as well as professionals - and, in fact, a needed resource offering the latest analysis and interpretation techniques, so that formation testing methods become a ubiquitous part of petroleum engineering activities typical of well logging, drilling or reservoir simulation.
Figure 1.1. Formation testing research monographs, Chin and COSL authors, Scrivener Publishing, 2014, 2015 and 2019.
Figure 1.2. Drawdown-buildup pressure responses with dynamic pumping action and flowline.
Remarks. The formation tester is a well logging instrument with nozzles, which when pressed against the borehole sandface, extracts insitu reservoir fluids for surface analysis. By-products of this process are pressure transients that can be "interrogated" using advanced math models for properties like mobility, anisotropy, compressibility and pore pressure. Testers may be "single" or "multiple probe," positioned axially and/or azimuthally along the tool body. Active probes may withdraw or inject fluids, while passive "observation probes" measure pressures. An example showing two drawdown-buildup curves is given above. Despite the simplicity, sophisticated math models are required for interpretation.
Figure 1.3. Downhole, surface and logging truck operations.
Remarks. Transient pressure responses are collected along the length of the well and predictions for pore pressure and mobility are presented to the petrophysicist as functions of depth. Depending on the data processing requirements of the host math model, real-time calculations can be performed within the tool, at the surface in the logging truck, or when these options are not possible, at the home office where more computing resources are available (data are transmitted for off-site calculation and received as well logs). A logging truck such as that shown will support a wide variety of formation testing software apps, for example, as described in Qin et al. (2021) for "source models" and the present book for triple probe forward and inverse applications.
1.2 Conventional Formation Testing Concepts.
Formation testing design concepts are rich and varied. A pumping probe, operating as a "sink" or a "source," also tracks pressure transient responses. Other pressure probes may reside along the tool body, displaced axially, azimuthally or both, which may actively pump or function as passive observers. While the primary formation tester function is fluid sampling, in which in-situ reservoir fluids are collected and transported to the surface for analysis, pressure measurements represent critical byproducts that are important to formation evaluation. Examples of testers offered by different manufacturers for wireline and MWD applications are given in Figures 1.4 - 1.7.
Figure 1.4. Conventional formation tester tool strings.
Figure 1.5. Formation testers, additional developments.
Figure 1.6. Conventional dual and triple probe testers.
Figure 1.7. Dual probe tester with dual packer.
1.3 A New Triple Probe Tool - Design Concepts and Well Logging Advantages.
A well known industry "triple probe" tool is sketched in Figure 1.8. A "sink probe," shown at the top right, withdraws fluid from the formation and initiates a pressure drawdown. The pressure drop is communicated to a "horizontal probe" that is displaced 180° circumferentially about the tool - that is, both sink and horizontal probe lie in the same plane normal to the tool axis. A third "vertical probe" is often found on the tool body at the same azimuth and displaced axially, say about thirty inches away. This conventional triple probe tool is different from the COSL triple probe tool shown in Figure 1.9. The COSL tool consists of three probes set in the same normal plane, each displaced 120° from the others - additionally, one or more axial probes may be installed along the tool string. These are discussed later in this volume, drawing on our 2014, 2015 and 2019 book publications, which have already addressed forward and inverse modeling algorithms for axial probes. The new triple tool hosts several advantages. First, the design offers redundancy and provides an important margin of safety in the event of downhole mechanical failure. Second, if all three probes are identical, the ability to see at different angles allows the tester to detect heterogeneities that may possibly remain hidden with single probe tools. Third, it is possible to measure dip angle, if distinct thin layers exist. Fourth, equipping the tester with different sized probes, for example, with small, medium and long slotted nozzles, enhances the tool's ability to log formations where little is known about the formation. This is a crucial advantage...
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