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Reservoir Simulation and Well Interference

Parent-Child, Multilateral Well
and Fracture Interactions

By Wilson C. Chin and Xiaoying Zhuang
Series: Handbook of Petroleum Engineering Series
Copyright: 2020   |   Status: Published
ISBN: 9781119283447  |  Hardcover  |  
394 pages
Price: $225 USD
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One Line Description
Co-written by a world-renowned petroleum engineer, this breakthrough new volume teaches engineers how to configure, place and produce horizontal and multilateral wells in geologically complicated reservoirs, select optimal well spacings and fracture separations, and how to manage factors influencing well productivity using proven cost-effective and user-friendly simulation methods.

Audience
Petroleum, reservoir and drilling engineers; well log analysts; business and company management; investors; software developers; and “big data” and “machine learning” specialists requiring “physics driven” models to complement statistical geological descriptions

Description
Charged in the 1990s with solving some of petroleum engineering’s biggest problems that the industry deemed “unsolvable,” the authors of this innovative new volume solved those problems, not just using a well-published math model, but one optimized to run rapidly, the first time, every time. This not only provides numerical output, but production curves and color pressure plots automatically. And each in a single hour of desk time.

Using their Multisim software that is featured in this volume, secondary school students at the Aldine Independent School District delivered professional quality simulations in a training program funded by some of the largest energy companies in the world. Think what you, as a professional engineer, could do in your daily work. Valuable with or without the software, this volume is the cutting-edge of reservoir engineering today, prefacing each chapter with a “trade journal summary” followed by hands-on details, allowing readers to replicate and extend results for their own applications.

This volume covers Parent-Child, Multilateral Well and Fracture Flow Interactions, reservoir flow analysis, many other issues involving fluid flow, fracturing, and many other common “unsolvable” problems that engineers encounter every day. It is a must-have for every engineer’s bookshelf.


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Supplementary Data
• Presents simulation, explained in simple terms, focusing on strengths in present formulation and limitations behind industry models
• Introduces a reservoir simulator, developed in earlier books and used at multiple companies, incorporating “smart menus” for interactive computing requiring minimal training
• Goes through six challenging problems with complicated geologies and multilateral well systems defined and solved, each in one hour of “desk time,” with integrated graphics producing production histories and 3D color pressure plots
• Covers pressure and rate constraints, levels and type changeable at any time, how new wells may be added, and existing wells shortened, lengthened or redirected during simulations, how multilaterals and fracture systems may assume arbitrary geometries, dozens of farfield drive models, liquids and gases supported; and, finally, program architecture that supports multiple “what if” analyses in same work session


Author / Editor Details
Wilson C. Chin, PhD, is an experienced petroleum engineer with over twenty books published by Wiley-Scrivener and other leading publishers and over a hundred articles published in scientific journals. He holds four dozen domestic and international patents and has received five major awards with the United States Department of Energy. Mr. Chin’s interests include reservoir simulation, Measurement While Drilling, borehole electromagnetics, managed pressure drilling, formation testing, downhole vibrations, and drilling and cementing rheology.

Xiaoying Zhuang has almost a decade of experience in borehole rheology and reservoir fluid mechanics. From 2009 to 2011, she served as Co-Investigator for the United States Department of Energy in their sponsored research into well control, leading to a well-received book appearing in English and Chinese on the subject. “Jenny” has co-authored ten papers in her areas of technical interest.


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Table of Contents
Preface xi
Acknowledgements xv
1 Parent-Child, Multilateral Well and Fracture Flow Interactions 1
Additional questions raised 1
Problem identified 2
Why call them frac hits? 5
Is a frac hit model possible? 5
1.1 Reference 7
2 Reservoir Flow Analysis --Concise and Rigorous Summary 9
2.1 Governing Equations and Numerical Formulation 9
Steady flows of liquids 10
Difference equation formulation 10
The iterative scheme 12
Modeling well constraints for liquids 13
Steady and unsteady nonlinear gas flows 15
Steady gas flows 16
Well constraints for gas flows 18
Transient, compressible flows 19
Compaction, consolidation and subsidence 22
Boundary conforming grids 23
Stratigraphic meshes for layered media 24
Modeling wellbore storage 25
2.2 References 27
3 Reservoir Simulation --Strengths, Limitations and Strategies 28
Deficiencies affecting all simulators 28
3.1 Rectangular versus Curvilinear Coordinates 29
3.2 Fracture Simulations and Analytical Subtleties 33
Aerodynamic analogies 33
3.3 A Digression --Advances in Geometric Modeling 35
3.3.1 Airfoil and three-dimensional wing flows 35
3.3.2 Two dimensional planar reservoir flows 36
3.4 Formulation Errors in Commercial Simulators 40
Commingled reservoirs 40
Unit mobility flow 40
Well constraints, pressures and rates, kh products 40
Upscaling methods and averaging 41
Geometric gridding 42
Input/output issues and 3D color graphics 42
Matrix solvers and numerical inversion 42
Meaning of farfield boundary conditions 43
Grid density 43
Simulator design philosophy 44
3.5 References 45
4 Parent-Child Well and Fracture Flow --A Simple
Steady-State Example 46
4.1 A Simple Example --Steady Flow Parent-Child Well and
Fracture Interactions 46
Reference examples 47
More interesting calculations 47
Closing remarks 53
4.2 Two Reference Single-Well Analyses 54
Reference Example A 54
Reference Example B 57
4.3 Detailed Two-Well and Fracture Flow Analyses 59
Run 1 --Two wells, different pressure constraints,
homogeneous medium 59
Run 2 --Two wells, identical pressure constraints in
homogeneous isotropic medium 81
Run 3 --Return to Run 1 well constraints,
with Wells 1 and 2 joined using uniform fracture 84
Run 4 --Incomplete fracture penetration at Well 1 91
Closing remarks 96
4.4 References 96
5 Hydraulic Fracture Flow for Horizontal Wells
in Anisotropic Media 97
5.1 Horizontal or Multilateral Wells Intersected by General
Hydraulic Fractures in Fully Transient Flow 97
Run 1 99
Runs 2, 3 and 4 101
5.2 Detailed Software Analysis 105
5.2.1 Run 1. No fractures along vertical-to-horizontal
well (for reference baseline comparisons) 105
5.2.2 Run 2. Horizontal well intersected by a single
hydraulic fracture 142
5.2.3 Run 3. Horizontal well intersecting
two fracture planes 147
5.2.4 Run 4. Horizontal well intersecting three fractures 149
5.2.5 Runs 5-6. Effects of anisotropy and
fracture orientation 153
Run 5 153
Run 6 155
5.3 References 157
6 Cube Models in Reservoir Development 158
6.1 Well Spacings, Parent-Child Effects and Reservoir
Strategy in Modern Drilling 158
6.1.1 Basic optimization problems 158
6.1.2 Reservoir flow simulation versus statistical
modeling approaches 160
6.1.3 Cube model set-up and computed results 161
6.1.4 Reservoir optimization and cost effectiveness 166
6.1.5 Closing remarks 168
6.1.6 References 169
6.2 Detailed Software Analysis 170
6.3 A More Optimal Production Method 197
6.4 References 200
7 Simulating While Drilling --Extending a Vertical Well
Horizontally During Transient Production 201
7.1 Declining Production with Horizontal Lateral Solution 201
7.2 Detailed Software Analysis 207
7.3 References 236
8 Simulating While Drilling --Adding a Complicated Multilateral
Well During Transient Production from a Vertical 237
8.1 Vertical and Subsequent Multilateral Neighboring Well 238
8.2 Detailed Software Analysis 243
8.3 References 264
9 Heterogeneous, Anisotropic, Layered Reservoir with Finite
Tilted Fracture Plane Produced by Multilateral Wells 265
9.1 Five Comparative Production Scenarios 266
Run 1. Uniform isotropic reservoir (base reference) 267
Run 2. Effect of high permeability fracture on Run 1 272
Run 3. Highly heterogeneous three layer reservoir, isotropic
flow within each sub-domain, no fracture planes 274
Run 4. Effect of anisotropy on Run 1 (again, uniform kx, ky,
with kz 50% smaller), no fractures 276
Run 5. Nonlinear gas flows, results compared with Run 1
liquid baseline, assuming uniform kx, ky and kz,
no fractures 278
Closing remarks 279
9.2 Detailed Software Analysis 280
Run 1. Uniform isotropic reservoir (base reference) 281
Layered geological description 281
Software caution 283
Layered drilling description 287
Layer results and flow decline curves 300
Run 2. Effect of high permeability fracture on Run 1 308
Run 3. Highly heterogeneous three layer reservoir,
isotropic flow within each sub-domain,
no fracture planes 312
Run 4. Effect of anisotropy on Run 1 (again, uniform kx,
ky, with kz 50% smaller), no fractures 316
Run 5. Nonlinear gas flows, results compared with Run 1
liquid baseline, assuming uniform kx, ky and kz,
no fractures 321
9.3 Closing Remarks 328
9.4 References 328
10 Advanced Reservoir Modeling with Multisim 329
10.1 Features 330
Reservoir Description 330
Well System Modeling 330
Additional Simulator Features 330
10.2 Licensing Options 331
Multisim 331
Complementary Models 331
4D TurboView 331
Fluid Tracer 331
Formation Testing Suite 331
10.3 Disclaimer 332
End-User License Agreement (EULA) 332
Grant of license 332
Descriptions of other rights and limitations 333
Termination 334
Copyright 334
No warranties 334
Limitation of liability 334
Further disclaimers 335
Additional restrictions 335
End of EULA 335
Cumulative References 336
Index 351
About the Authors 359


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BISAC SUBJECT HEADINGS
TEC047000 : TECHNOLOGY & ENGINEERING / Petroleum
SCI024000 : SCIENCE / Energy
BUS070040 : BUSINESS & ECONOMICS / Industries / Energy
 
BIC CODES
THF: Fossil fuel technologies
RBGK: Geochemistry
TNCC: Soil & rock mechanics

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