Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D-DC borehole resistivity measurements

DOI10.1016/j.cma.2007.12.003zbMath1194.78067OpenAlexW2159605465MaRDI QIDQ995285

David Pardo, Carlos Torres-Verdín, Victor Manuel Calo, Myung Jin Nam

Publication date: 13 September 2010

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2007.12.003

zbMATH Keywords

goal-oriented adaptivityFourier series expansionborehole measurementshp-FEMnon-orthogonal system of coordinates

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Technical applications of optics and electromagnetic theory (78A55)

Related Items

Computational cost estimates for parallel shared memory isogeometric multi-frontal solvers, A multi-domain decomposition-based Fourier finite element method for the simulation of 3D marine CSEM measurements, Fast 2.5D finite element simulations of borehole resistivity measurements, A parallel direct solver for the self-adaptive \(hp\) finite element method, A survey on direct solvers for Galerkin methods, A hybrid method for inversion of 3D DC resistivity logging measurements, Impact of element-level static condensation on iterative solver performance, Simulation of wireline sonic logging measurements acquired with borehole-eccentered tools using a high-order adaptive finite element method, Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D alternating current borehole resistivity measurements

Uses Software

• Maple
• MUMPS
• METIS

Cites Work

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• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• Verification of goal-oriented hp-adaptivity
• Simulations of 3D DC borehole resistivity measurements with a goal-oriented \(hp\) finite-element method. Part II: Through-casing resistivity instruments
• Approximation properties of the \(h\)-\(p\) version of the finite element method
• Multifrontal parallel distributed symmetric and unsymmetric solvers
• Two‐Dimensional High‐Accuracy Simulation of Resistivity Log ging‐While‐Drilling (LWD) Measurements Using a Self‐Adaptiv e Goal‐Oriented $hp$ Finite Element Method
• A goal-orientedhp-adaptive finite element method with electromagnetic applications. Part I: electrostatics
• PML Enhanced with a Self-Adaptive Goal-Oriented $hp$-Finite Element Method: Simulation of Through-Casing Borehole Resistivity Measurements