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Modeling of Resistivity and Sonic Borehole Logging Measurements Using Finite Element Methods - 1st Edition - ISBN: 9780128214541

Modeling of Resistivity and Sonic Borehole Logging Measurements Using Finite Element Methods

1st Edition

Editors: David Pardo Pawel Matuszyk Carlos Torres-Verdin Myung Nam Victor Calo
Paperback ISBN: 9780128214541
Imprint: Elsevier
Published Date: 1st June 2021
Page Count: 300
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Modeling of Resistivity and Sonic 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.

Key Features

  • 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)

Table of Contents

1. Introduction

Part I: Electromagnetics
2. Maxwell’s Equations and Variational Formulations
3. Modeling of Resistivity Geophysical Measurements

Part II: Acoustics
4. Linear Acoustics in Fluids and Solids and Variational Formulations
5. Numerical Modeling of Borehole Sonic Measurements

Part III: Advanced Modeling Topics
6. Attenuation Model in Anelastic Materials
7. Absorbing Boundary Conditions
8. Linear Solvers
9. Parallel Implementation
10. Inverse Problems


No. of pages:
© Elsevier 2021
1st June 2021
Paperback ISBN:

About the Editors

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, Spain

Pawel 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, USA

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, USA

Myung Nam

Myung Jim Nam graduated with a Ph.D. from Seoul National University. He did a Postdoctoral stay at the Petroleum and Geosystems Engineering Department at The University of Texas at Austin. He is currently a professor at KAIST, 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, KAIST, Seoul, South Korea

Victor 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, Australia

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