A Comparative Analysis of Krylov Solvers for Three-Dimensional Simulations of Borehole Sensors

Pseudo-Analytical Modeling for Electromagnetic Well-Logging Tools in Complex Geophysical Formations

“…A wave equation dual to (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18) can be derived for the axial magnetic field using a procedure analogous to that shown above. It follows that…”

“…It is clear that (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18) and (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20) are homogeneous Helmholtz wave equations for E z and H z whose solutions can be constructed by the method of separation of variables [55,Ch. 5].…”

“…The complex formations that are prevalent in this type of problem can be handled using brute-force three-dimensional (3D) numerical techniques based on the spatial discretization such as finite-differences (FDs), finite-elements (FEs) and finite-volumes (FVs) [6,7,[17][18][19][20].…”

“…Tilted-coil antennas (TCAs) are routinely utilized in well-logging tools [18,[47][48][49] to provide directional response (azimuthal sensitivity). Welllogging tools employing TCAs are also often called triaxial tools.…”

A comparative analysis of cylindrical CFS-PML ABC for finite volume simulations in the frequency domain

“…A three-dimensional (3-D) finite volume (FV) algorithm has been developed and successfully applied to simulate electromagnetic (EM) well-logging tool response in high-loss geophysical formations [11]- [14]. In low-loss media, however, its application implies increasing the computational domain.…”