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

Modeling 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

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.

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.

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.

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.

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.