Modeling of Resistivity and Acoustic Borehole Logging Measurements Using Finite Element Methods
- 1st Edition - May 22, 2021
- Imprint: Elsevier
- Authors: David Pardo, Paweł J. Matuszyk, Vladimir Puzyrev, Carlos Torres-Verdin, Myung Jin Nam, Victor M. Calo
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 8 2 1 4 5 4 - 1
- eBook ISBN:9 7 8 - 0 - 1 2 - 8 2 1 4 6 5 - 7
Modeling of Resistivity and Acoustic Borehole Logging Measurements Using Finite Element Methods provides a comprehensive review of different resistivity and sonic logging instrumen… Read more
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Request a sales quoteModeling of Resistivity and Acoustic Borehole Logging Measurements Using Finite Element Methods provides a comprehensive review of different resistivity and sonic logging instruments used within the oil industry, along with precise and solid mathematical descriptions of the physical equations and corresponding FE formulations that govern these measurements. Additionally, the book emphasizes the main modeling considerations that one needs to incorporate into the simulations in order to obtain reliable and accurate results. Essentially, the formulations and methods described here can also be applied to simulate on-surface geophysical measurements such as seismic or marine controlled-source electromagnetic (CSEM) measurements.
Simulation results obtained using FE methods are superior. FE methods employ a mathematical terminology based on FE spaces that facilitate the design of sophisticated formulations and implementations according to the specifics of each problem. This mathematical FE framework provides a highly accurate, robust, and flexible unified environment for the solution of multi-physics problems. Thus, readers will benefit from this resource by learning how to make a variety of logging simulations using a unified FE framework.
- Provides a complete and unified finite element approach to perform borehole sonic and electromagnetic simulations
- Includes the latest research in mathematical and implementation content on Finite Element simulations of borehole logging measurements
- Features a variety of unique simulations and numerical examples that allow the reader to easily learn the main features and limitations that appear when simulating borehole resistivity measurements
Students and professors in applied mathematics, numerical analysis, or petroleum engineering interested on simulating and/or inverting borehole resistivity measurements. Professionals working on the area in the oil and gas or related sectors (e.g., deep geothermal energy extraction)
- Cover image
- Title page
- Table of Contents
- Copyright
- Preface
- Bibliography
- Chapter 1: Introduction
- Abstract
- 1.1. Borehole resistivity measurements
- 1.2. Borehole acoustic measurements
- 1.3. The finite element method (FEM)
- Bibliography
- Part 1: Electromagnetics
- Chapter 2: Maxwell's equations and variational formulations
- Abstract
- 2.1. Time-harmonic Maxwell's equations
- 2.2. Boundary conditions (BCs)
- 2.3. 3D variational formulation in Cartesian coordinates
- 2.4. 3D variational formulation in an arbitrary system of coordinates
- 2.5. 2.5D variational formulation in 2D Cartesian geometries
- 2.6. 2.5D variational formulation in axisymmetric geometries
- 2.7. 2D variational formulation in Cartesian coordinates
- 2.8. 2D axisymmetric variational formulation
- 2.9. 1.5D variational formulations
- 2.10. Summary
- Bibliography
- Chapter 3: Modeling of resistivity geophysical measurements
- Abstract
- 3.1. Through-casing resistivity measurements
- 3.2. Dual-laterolog (DLL) instruments
- 3.3. Tri-axial induction instruments
- Bibliography
- Part 2: Acoustics
- Chapter 4: Linear acoustics in fluids and solids and variational formulations
- Abstract
- 4.1. Time-harmonic equations of acoustics
- 4.2. Coupling and boundary conditions
- 4.3. Acoustic source modeling
- 4.4. 3D variational formulation in an arbitrary system of coordinates
- 4.5. 2D axisymmetric variational formulation
- 4.6. 2.5D axisymmetric variational formulation
- Bibliography
- Chapter 5: Numerical modeling of borehole acoustic measurements
- Abstract
- 5.1. VTI elastic formation
- 5.2. Heterogeneous poroelastic formation
- 5.3. Isotropic elastic fast formation with slow layer
- 5.4. LWD logging in a cased well
- 5.5. Modeling of the internal structure of an LWD tool
- 5.6. Fast formation with a fluid-filled fracture
- 5.7. Logging in thinly bedded slow formations
- 5.8. Eccentered logging device
- Bibliography
- Part 3: Advanced modeling topics
- Chapter 6: Attenuation modeling in anelastic materials
- Abstract
- 6.1. Simple model problem
- 6.2. Aki–Richards attenuation model
- Bibliography
- Chapter 7: Absorbing boundary conditions
- Abstract
- 7.1. Introduction
- 7.2. Perfectly matched layer
- 7.3. The idea of the PML
- 7.4. Energy spaces, exact sequence, parametric elements, and Piola transforms
- 7.5. PML in Cartesian coordinate system
- 7.6. PML in curvilinear coordinate system
- 7.7. PML in cylindrical coordinates
- 7.8. PML in spherical coordinates
- 7.9. Instability in the PML
- Bibliography
- Chapter 8: Linear solvers
- Abstract
- 8.1. Direct solvers
- 8.2. Iterative solvers
- 8.3. Preconditioning techniques
- Bibliography
- Chapter 9: Parallel implementation
- Abstract
- 9.1. Types of parallel architectures
- 9.2. Parallelization in geophysical problems
- 9.3. Parallel solvers and preconditioners
- 9.4. Future trends
- Bibliography
- Chapter 10: Inverse problems
- Abstract
- 10.1. Formulation
- 10.2. Solution method
- 10.3. Numerical simulations
- Bibliography
- Bibliography
- Bibliography
- Index
- Edition: 1
- Published: May 22, 2021
- Imprint: Elsevier
- No. of pages: 312
- Language: English
- Paperback ISBN: 9780128214541
- eBook ISBN: 9780128214657
DP
David Pardo
David Pardo is a Research Professor at Ikerbasque, the University of the Basque Country UPV/EHU, and the Basque Center for Applied Mathematics (BCAM). He has published over 160 research articles and he has given over 260 presentations. He is now the PI of the research group on Applied Mathematical Modeling, Statistics, and Optimization (MATHMODE).
His research interests include computational electromagnetics, petroleum-engineering applications (borehole simulations), adaptive finite-element and discontinuous Petrov-Galerkin methods, multigrid solvers, image restoration algorithms, and multiphysics and inverse problems.
Affiliations and expertise
Research Professor, Basque Center for Applied Mathematics (BCAM), Ikerbasque, University of the Basque Country UPV/EHU, SpainPM
Paweł J. Matuszyk
Paweł J. Matuszyk is Research Scientist at Baker Hughes working on acoustics borehole devices, Houston, TX, USA. Hes has over eighteen years of experience in academic and private industry research environments. Strong theoretical background in the field of mathematics and physics coupled with extensive programming skills plus expertise in analytical and numerical modeling of complex problems in mechanics and acoustics. Hands-on experience in designing sonic logging tools for the oil & gas industry. Expert in programming (Fortran, C/C++, Matlab) and finite element analysis. The academic background encompasses nine years of teaching experience. Self-motivated, methodical, persistent, and passionate about solving challenging scientific and engineering problems.
Affiliations and expertise
Research Development and Design Scientist, Baker Hughes Company, Houston, TX, USAVP
Vladimir Puzyrev
Vladimir Puzyrev is a Senior Research Fellow at the Curtin University Oil and Gas Innovation Centre and the School of Earth and Planetary Sciences of Curtin University, Australia. His research interests include applications of artificial intelligence and deep learning in geosciences, as well as computational electromagnetics, sparse linear solvers, and high-performance computing.
Affiliations and expertise
Senior Research Fellow at the Curtin University Oil and Gas Innovation Centre and the School of Earth and Planetary Sciences of Curtin University, Australia.CT
Carlos Torres-Verdin
Carlos Torres-Verdín is Professor in Petroleum and Geosystems Engineering at The University of Texas at Austin. He is worldwide expert in the area of characterizing the Earth´s subsurface via different numerical methods. Research Areas: Static and Dynamic Formation Evaluation, Borehole Geophysics, Rock Physics, Petrophysics, Well Logging, Reservoir Geophysics, Integrated Geological-Geophysical-Flow Description of Reservoirs, Signal Processing, Inverse Problems.
Affiliations and expertise
Professor in Petroleum and Geosystems Engineering, The University of Texas at Austin, USAMN
Myung Jin Nam
Myung Jin Nam is a professor at Sejong University, Seoul, South Korea at the Department of Energy and Mineral Resources Engineering. His areas of expertise include Modeling and Simulation, Optimization, Numerical Analysis, Applied and Computational Mathematics, Simulation, and Geophysical Applications.
Affiliations and expertise
Professor, Department of Energy and Mineral Resources Engineering, Sejong University, Seoul, South KoreaVC
Victor M. Calo
Victor M. Calo is a Professor of Applied Geology at Curtin University, Australia. Dr Calo holds the CSIRO Professorial Chair in Computational Geoscience and is a highly cited researcher who is actively involved in disseminating knowledge: Dr Calo has authored 160+ peer-reviewed publications. Dr Calo’s research Interests include modelling and simulation of geomechanics, fluid dynamics, flow in porous media, phase separation, fluid-structure interaction, solid mechanics, and high-performance computing.
Affiliations and expertise
Professor of Applied Geology, Curtin University, AustraliaRead Modeling of Resistivity and Acoustic Borehole Logging Measurements Using Finite Element Methods on ScienceDirect