Supercharge, Invasion, and Mudcake Growth in Downhole Applications

Supercharge, Invasion, and Mudcake Growth in Downhole Applications
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Mysterious «supercharge effects,» encountered in formation testing pressure transient analysis, and reservoir invasion, mudcake growth, dynamic filtration, stuck-pipe remediation, and so on, are often discussed in contrasting petrophysical versus drilling contexts. However, these effects are physically coupled and intricately related. The authors focus on a comprehensive formulation, provide solutions for different specialized limits, and develop applications that illustrate how the central ideas can be used in seemingly unrelated disciplines. This approach contributes to a firm understanding of logging and drilling principles. Fortran source code, furnished where applicable, is listed together with recently developed software applications and conveniently summarized throughout the book. In addition, common (incorrect) methods used in the industry are re-analyzed and replaced with more accurate models, which are then used to address challenging field objectives. Sophisticated mathematics is explained in «down to earth» terms, but empirical validations, in this case through Catscan experiments, are used to «keep predictions honest.» Similarly, early-time, low mobility, permeability prediction models used in formation testing, several invented by one of the authors, are extended to handle supercharge effects in overbalanced drilling and near-well pressure deficits encountered in underbalanced drilling. These methods are also motivated by reality. For instance, overpressures of 2,000 psi and underpressures near 500 psi are routinely reported in field work, thus imparting a special significance to the methods reported in the book. This new volume discusses old problems and modern challenges, formulates and develops advanced models applicable to both drilling and petrophysical objectives. The presentation focuses on central unifying physical models which are carefully formulated and mathematically solved. The wealth of applications examples and supporting software discussed provides readers with a unified focus behind daily work activities, emphasizing common features and themes rather than unrelated methods and work flows. This comprehensive book is «must» reading for every petroleum engineer.

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Группа авторов. Supercharge, Invasion, and Mudcake Growth in Downhole Applications

Table of Contents

List of Illustrations

Guide

Pages

Supercharge, Invasion and Mudcake Growth in Downhole Applications

Preface

Acknowledgements

1. Pressure Transient Analysis and Sampling in Formation Testing

1.1 Conventional Formation Testing Concepts

1.2 Prototypes, Tools and Systems

1.2.1 Enhanced Formation Dynamic Tester (EFDT ®)

1.2.2 Basic Reservoir Characteristic Tester (BASIC-RCT™)

1.2.3 Enhancing and enabling technologies

1.3 Recent Formation Testing Developments

1.4 References

2. Spherical Source Models for Forward and Inverse Formulations

2.1 Basic Approaches, Interpretation Issues and Modeling Hierarchies

2.2 Basic Single-Phase Flow Forward and Inverse Algorithms

2.2.1 Module FT-00

2.2.2 Module FT-01

2.2.3 Module FT-03

2.2.4 Forward model application, Module FT-00

2.2.5 Inverse model application, Module FT-01

2.2.6 Effects of dip angle

2.2.8 FT-03 model overcomes source-sink limitations

2.2.9 Module FT-04, phase delay analysis (introductory, for now)

2.2.10 Drawdown-buildup, Module FT-PTA-DDBU

2.2.11 Real pumping, Module FT-06

2.3 Advanced Forward and Inverse Algorithms

2.3.1 Advanced drawdown and buildup methods

2.3.2 Calibration results and transient pressure curves

2.3.3 Mobility and pore pressure using first drawdown data

2.3.3.1 Run No. 1. Flowline volume 200 cc. (Software reference, pta-dd-3-run-with-rft-numbers.exe)

2.3.3.2 Run No. 2. Flowline volume 500 cc

2.3.3.3 Run No. 3. Flowline volume 1,000 cc

2.3.3.4 Run No. 4. Flowline volume 2,000 cc

2.3.4 Mobility and pore pressure from last buildup data

2.3.4.1 Run No. 5. Flowline volume 200 cc (Software reference, pta-two-dd-2.exe)

2.3.4.2 Run No. 6. Flowline volume 500 cc

2.3.4.3 Run No. 7. Flowline volume 1,000 cc

2.3.4.4 Run No. 8. Flowline volume 2,000 cc

2.3.4.5 Run No. 9. Time-varying flowline volume inputs from FT-07

2.3.5 Phase delay and amplitude attenuation, anisotropic media with dip – detailed theory, model and numerical results

2.3.5.1 Basic mathematical results

2.3.5.2 Numerical examples and typical results

Example 1. Parameter estimates

Example 2. Surface plots

Example 3. Sinusoidal excitation

Example 4. Rectangular wave excitation

Example 5. Permeability prediction at general dip angles

Example 6. Solution for a random input

2.3.5.3 Layered model formulation

2.3.5.4 Phase delay software interface

2.3.5.5 Detailed phase delay results in layered anisotropic media

2.3.6 Supercharging and formation invasion introduction, with review of analytical forward and inverse models

2.3.6.1 Development perspectives

2.3.6.2 Review of forward and inverse models

2.3.6.3 Supercharging summaries - advanced forward and inverse models explored

2.3.6.4 Drawdown only applications

Example DD-1. High overbalance

Example DD-2. High overbalance

Example DD-3. High overbalance

Example DD-4. Qualitative pressure trends

Example DD-5. Qualitative pressure trends

Example DD-6. “Drawdown-only” data with multiple inverse scenarios for 1 md/cp application

Example DD-7. “Drawdown-only” data with multiple inverse scenarios for 0.1 md/cp application

2.3.6.5 Drawdown – buildup applications. Example DDBU-1. Drawdown-buildup, high overbalance

Example DDBU-2. Drawdown-buildup, high overbalance

Example DDBU-3. Drawdown-buildup, high overbalance

Example DDBU-4. Drawdown-buildup, 1 md/cp calculations

Example DDBU-5. Drawdown-buildup, 0.1 md/cp calculations

2.3.7 Advanced multiple drawdown – buildup (or, “MDDBU”) forward and inverse models

2.3.7.1 Software description

2.3.7.2 Validation of PTA-App-11 inverse model

2.3.8 Multiphase flow with inertial effects – Applications to invasion, supercharging, clean-up and contamination analysis

2.3.8.1 Mudcake dynamics

2.3.8.2 Multiphase modeling in boreholes

2.3.8.3 Pressure and concentration displays

Example 1. Single probe, infinite anisotropic media

Example 2. Single probe, three layer medium

Example 3. Dual probe pumping, three layer medium

Example 4. Straddle packer pumping

Example 5. Formation fluid viscosity imaging

Example 6. Contamination modeling

Example 7. Multi-rate pumping simulation

2.4 References

3. Practical Applications Examples

3.1 Non-constant Flow Rate Effects

3.1.1 Constant flow rate, idealized pumping, inverse method

3.1.2 Slow ramp up/down flow rate

3.1.3 Impulsive start/stop flow rate

3.2 Supercharging – Effects of Nonuniform Initial Pressure

3.3 Dual Probe Anisotropy Inverse Analysis

3.4 Multiprobe “DOI,” Inverse and Barrier Analysis

3.5 Rapid Batch Analysis for History Matching

3.6 Supercharge, Contamination Depth and Mudcake Growth in “Large Boreholes” – Lineal Flow

3.7 Supercharge, Contamination Depth and Mudcake Growth in Slimholes or “Clogged Wells” – Radial Flow

3.8 References

4. Supercharge, Pressure Change, Fluid Invasion and Mudcake Growth

4.1 Governing equations and moving interface modeling

4.2 Static and dynamic filtration

4.2.1 Simple flows without mudcake

4.2.2 Flows with moving boundaries

4.3 Coupled Dynamical Problems: Mudcake and Formation Interaction

4.4 Inverse Models in Time Lapse Logging

4.5 Porosity, Permeability, Oil Viscosity and Pore Pressure Determination

4.6 Examples of Time Lapse Analysis

4.7 References

5. Numerical Supercharge, Pressure, Displacement and Multiphase Flow Models

5.1 Finite Difference Solutions

Example 5-1. Lineal liquid displacement without mudcake

Example 5-2. Cylindrical radial liquid displacement without cake

Example 5-3. Spherical radial liquid displacement without cake

Example 5-4. Lineal liquid displacement without mudcake, including compressible flow transients

Example 5-5. Von Neumann stability of implicit time schemes

Example 5-6. Gas displacement by liquid in lineal core without mudcake, including compressible flow transients

Example 5-7. Simultaneous mudcake buildup and displacement front motion for incompressible liquid flows

5.2 Forward and Inverse Multiphase Flow Modeling

5.2.1 Immiscible Buckley-Leverett lineal flows without capillary pressure

5.2.2 Molecular diffusion in fluid flows

5.2.3 Immiscible radial flows with capillary pressure and prescribed mudcake growth

5.2.4 Immiscible flows with capillary pressure and dynamically coupled mudcake growth

5.3 Closing Remarks

5.4 References

Cumulative References

Index. A

B

C

D

E

F

G

H

I

J

L

M

N

O

P

R

S

T

U

W

About the Authors

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Figure 1.12. Surface control interface.

Figure 1.13. Pressure measurement chart (left) and real-time fluid monitoring chart (right).

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