Keywords:
Oil well drilling - Equipment and supplies - Design and construction.
;
Electronic books.
Type of Medium:
Online Resource
Pages:
1 online resource (632 pages)
Edition:
1st ed.
ISBN:
9781118835265
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=1643666
Language:
English
Note:
Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Acknowledgements -- 1 Motivating Ideas - General Formulation and Results -- 1.1 Overview -- 1.2 Introduction -- 1.3 Physical Model and Numerical Formulation -- 1.3.1 Design philosophy -- 1.3.2 New discretization approach -- 1.3.3 Analytical formulation -- 1.3.4 An alternative approach -- 1.3.5 Solution philosophy -- 1.3.6 Governing equations -- 1.3.7 Finite difference methodology -- 1.4 Validation Methodology -- 1.4.1 Fundamental physics -- 1.4.2 Biot-Savart finite coil validations -- 1.4.3 Analytical dipole validations -- 1.4.4 Fully three-dimensional solutions -- 1.5 Practical Applications -- 1.5.1 Example 1. Granularity transition to coil source -- 1.5.2 Example 2. Magnetic field, coil alone -- 1.5.3 Example 3. Steel mandrel at dip -- 1.5.4 Example 4. Conductive mud effects in wireline and MWD logging -- 1.5.5 Example 5. Longitudinal magnetic fields -- 1.5.6 Example 6. Elliptical coils -- 1.5.7 Example 7. Calculating electromotive force -- 1.5.8 Example 8. Detailed incremental readings -- 1.5.9 Example 9. Coil residing along bed interface -- 1.6 Closing Remarks -- 1.7 References -- 2 Detailed Theory and Numerical Analysis -- 2.1 Overview -- 2.2 Introduction -- 2.2.1 Physical and mathematical complications -- 2.2.2 Numerical challenges -- 2.2.3 Alternative approaches -- 2.2.4 Project summary -- 2.3 Preliminary Mathematical Considerations -- 2.3.1 General governing differential equations -- 2.3.2 Anisotropic model -- 2.3.3 Equivalent vector and scalar potential formulation -- 2.3.4 Recapitulation and mathematical observations -- 2.3.5 Matching conditions at bed interfaces -- 2.3.6 Exact surface charge modeling -- 2.3.7 Constant frequency analysis -- 2.4 Boundary Value Problem Formulation -- 2.4.1 Model for weak charge buildup -- 2.4.2 Distributed surface charge.
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2.4.3 Predictor-corrector model for strong polarization -- 2.4.4 Fully coupled model for strong polarization -- 2.5 Computational Issues and Strategies -- 2.5.1 Alternative computational approaches -- 2.5.2 Difference model at field points within layers -- 2.5.3 Discontinuous functions and normal derivatives -- 2.5.4 Scalar potential solution -- 2.5.5 No limiting assumptions -- 2.5.6 Logging tool mandrels -- 2.5.7 Matrix analysis -- 2.5.8 Programming notes -- 2.5.9 Validation procedures -- 2.6 Typical Simulation Results -- 2.6.1 Example 1. Vertical hole, 20 KHz -- 2.6.2 Example 2. Vertical hole, 2 MHz -- 2.6.3 Example 3. Vertical hole, 2 MHz, collar -- 2.6.4 Example 4. Tilted beds, 45° dip, 20 KHz -- 2.6.5 Example 5. Tilted beds, 45° dip, 2 MHz -- 2.6.6 Example 6. Tilted beds, 60° dip, 2 MHz -- 2.6.7 Example 7. Tilted beds, 75° dip, 2 MHz -- 2.6.8 Example 8. Tilted beds, 90° dip, 2 MHz -- 2.6.9 Example 9. 90° dip, 2 Hz, with collar -- 2.6.10 Example 10. Anisotropic effects -- 2.6.11 Example 11. More anisotropic effects -- 2.6.12 Example 12. Transmitter placement -- 2.6.13 Example 13. More, transmitter placement -- 2.6.14 Example 14. Double bed intersections -- 2.7 Post-Processing and Applications -- 2.7.1 Amplitude and phase -- 2.7.2 Effects of interfacial surface charge -- 2.7.3 Cylindrical radial coordinates -- 2.7.4 Coordinate system notes -- 2.7.5 Magnetic field modeling -- 2.8 Restrictions with Fast Multi-frequency Methods -- 2.8.1 Method 1 -- 2.8.2 Method 2 -- 2.9 Receiver Design Philosophy -- 2.10 Description of Output Files -- 2.10.1 Output 'Answer.Dat' files in rectangular coordinates -- 2.10.2 Output 'Quiklook.Dat' files in rectangular coordinates -- 2.10.3 Output functions in cylindrical coordinates -- 2.10.4 Typical "Point Summary" output -- 2.10.5 Additional simulation files.
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2.10.6 Creating color plots in planes perpendicular to z coordinate surfaces -- 2.11 Apparent Resistivity Using Classic Dipole Solution -- 2.12 Coordinate Conventions for Mud and Invasion Modeling -- 2.12.1 Modeling borehole mud and invaded zones -- 2.13 Generalized Fourier Integral for Transient Sounding -- 2.14 References -- 3 Validations - Qualitative Benchmarks -- 3.1 Overview -- 3.2 Introductory Problems -- 3.2.1 Example 1. Horizontal "coil alone," vertical well in homogeneous unlayered medium -- 3.2.1.1 Validation of results -- 3.2.1.2 Understanding electric fields -- 3.2.1.3 Understanding magnetic fields -- 3.2.1.4 Understanding point summaries -- 3.2.2 Example 2. Vertical "coil alone," horizontal well in homogeneous unlayered medium -- 3.2.3 Example 3. 45 degree "coil alone" problem in homogeneous unlayered medium -- 3.2.4 Example 4. Ninety degree dip, three-layer problem, "coil alone" -- 3.2.4.1 Understanding interfacial surface charge -- 3.2.5 Example 5. Ninety degree dip, three-layer problem, "steel mandrel" -- 3.2.6 Example 6. Forty-five degree dip, three-layer problem, "coil alone" -- 3.2.7 Example 7. Fully 3D, anisotropic, three-layer problem, with non-dipolar transmitter coil residing across three thin beds -- 3.3 Advanced Problems -- 3.3.1 Example 1. Vertical hole, 20 KHz -- 3.3.2 Example 2. Vertical hole, 2 MHz -- 3.3.3 Example 3. Vertical hole, 2 MHz, collar -- 3.3.4 Example 4. Titled beds, 45° dip, 20 KHz -- 3.3.5 Example 5. Tilted beds, 45° dip, 2 MHz -- 3.3.6 Example 6. Tilted beds, 60° dip, 2 MHz -- 3.3.7 Example 7. Tilted beds, 75° dip, 2 MHz -- 3.3.8 Example 8. Tilted beds, 90° dip, 2 MHz -- 3.3.9 Example 9. 90° dip, 2 MHz, with collar -- 3.3.10 Example 10. Anisotropic effects -- 3.3.11 Example 11. More anisotropic effects -- 3.3.12 Example 12. Transmitter placement -- 3.3.13 Example 13. More, transmitter placement.
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3.3.14 Example 14. Double bed intersections -- 3.4 Sign Conventions and Validation Methodology -- 3.5 References -- 4 Validations - Quantitative Benchmarks at 0° and 90° -- 4.1 Overview -- 4.2 Wireline Validations in Homogeneous Media -- 4.2.1 Simplified analytical models and comparison objectives -- 4.2.1.1 Classical dipole model -- 4.2.1.2 Nonconductive Biot-Savart model -- 4.2.1.3 Electromagnetic versus simulation parameters -- 4.2.1.4 Reiteration of basic ideas -- 4.2.2 Inverse dependence of magnetic field source strength on coil diameter -- 4.2.3 Calculating transmitter magnetic field source strength -- 4.2.4 Validating receiver Bimag/Breal ratio on a wide range of variable grids -- 4.2.4.1 Stretching Simulation Set No. 1 -- 4.2.4.2 Stretching Simulation Set No. 2 -- 4.2.4.3 Stretching Simulation Set No. 3 -- 4.2.4.4 Stretching Simulation Set No. 4 -- 4.2.5 Simulations holding resistivity fixed, with frequency varying -- 4.2.6 Simulations holding frequency fixed, with resistivity varying -- 4.3 Wireline Validations in Two-Layer Inhomogeneous Media -- 4.3.1 Remarks and observations -- 4.3.1.1 Detailed simulation results -- 4.3.1.2 Simulation differences explained -- 4.3.2 One inch diameter transmitter, vertical well -- 4.3.2.1 Run 22a highlights -- 4.3.2.2 Run 22b highlights -- 4.3.2.3 Run 22c highlights -- 4.3.3 Six inch diameter transmitter, vertical well -- 4.3.3.1 Run 23a highlights -- 4.3.3.2 Run 23b highlights -- 4.3.3.3 Run 23c highlights -- 4.3.4 One inch diameter transmitter, horizontal well -- 4.3.4.1 Run 25a highlights -- 4.3.4.2 Run 25b highlights -- 4.3.4.3 Run 25c highlights -- 4.3.5 Six inch diameter transmitter, horizontal well -- 4.3.5.1 Run 26a highlights -- 4.3.5.2 Run 26b highlights -- 4.3.5.3 Run 26c highlights -- 4.4 Electric and Magnetic Field Sensitive Volume Analysis for Resistivity and NMR Applications.
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4.4.1 Depth of electromagnetic investigation in layered media with dip -- 4.4.2 Typical layered media simulations (Cases 1-5) -- 4.5 MWD "Steel Collar" and Wireline Computations in Homogeneous and Nonuniform Layered Dipping Media -- 4.5.1 Wireline vs MWD logging scenarios -- 4.5.2 Wireline "coil alone" simulation in uniform media -- 4.5.3 MWD "steel drill collar" simulation in uniform media -- 4.5.4 Wireline "coil alone" simulation in layered media -- 4.5.5 MWD "steel drill collar" simulation in layered media -- 4.6 Exact Drill Collar Validation Using Shen Analytical Solution -- 4.7 Dipole Interpolation Formula Validation in Farfield -- 4.8 Magnetic Dipole Validation in Two-Layer Formation -- 4.9 References -- 5 Validations-Quantitative Benchmarks at Deviated Angles -- 5.1 Overview -- 5.2 Limit 1. No Collar, No Mud -- 5.2.1 Observations on variable mesh system -- 5.2.2 Review of results for 0° and 90° -- 5.2.3 Validation for general dip angles -- 5.3 Limit 2. Collar Only, No Mud -- 5.4 Limit 3. Mud Only, No Collar -- 5.5 Limit 4. Collar and Mud -- 6 Validations - Quantitative Benchmarks at Deviated Angles with Borehole Mud and Eccentricity -- 6.1 Overview -- 6.2 Repeat Validations -- 6.2.1 Simulation Set 1. Objective, validate steel drill collar logic for 6 inch transmitter coil in homogeneous medium, with borehole radius of "0" meaning "no mud" first. Later on, add mud effects -- 6.2.2 Simulation Set 2. Objective, borehole modeling at 0 deg dip, vertical well application. Here, 1 Ωm formation runs next, model the borehole with 0.01 Ωm if there is a hole, so we can "see" 0.02 its attenuative effects quickly -- 6.2.3 Simulation Set 3. Objective, repeat calculations immediately above, but for 90 deg dip, horizontal well application. Intention is to duplicate above results with differently oriented logic loop.
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6.2.4 Simulation Set 4. Objective, repeat work just above, but for 45° dip deviated well. Intention to duplicate prior results with differently oriented logic loop.
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