Three-Dimensional Finite-Volume Analysis of Directional Resistivity Logging Sensors

A finite-volume (FV) technique is introduced to model directional resistivity logging sensors that employ tilted-coil antennas in 3-D anisotropic earth formations. The algorithm is based on a coupled scalar-vector potential formulation on a 3-D cylindrical staggered grid. The choice of discretizatio...

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Bibliographic Details
Published in:IEEE transactions on geoscience and remote sensing 2010-03, Vol.48 (3), p.1151-1158
Main Authors: Novo, M.S., da Silva, L.C., Teixeira, F.L.
Format: Article
Language:English
Subjects:
Anisotropic magnetoresistance
Anisotropy
Applied geophysics
Boreholes
Collars
Conductivity
Directive antennas
Drilling
Earth
Earth sciences
Earth, ocean, space
Electrical resistivity
Equations
Exact sciences and technology
Finite difference methods
Finite-volume (FV) methods
Gas detectors
Hydrocarbons
Internal geophysics
Logging
logging while drilling (LWD)
Mathematical models
oilfield exploration
Sedimentary rocks
Sensors
tilted-coil antennas
Time domain analysis
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Description
Summary:A finite-volume (FV) technique is introduced to model directional resistivity logging sensors that employ tilted-coil antennas in 3-D anisotropic earth formations. The algorithm is based on a coupled scalar-vector potential formulation on a 3-D cylindrical staggered grid. The choice of discretization enforces the correct continuity equations across material boundaries, avoids spurious modes, and leads to a better conditioned system matrix. In order to model situations where the sensor tool axis does not coincide with the borehole axis (eccentered tools), a locally conformal FV scheme is also implemented. The proposed FV formulation is validated against pseudoanalytical solutions (in cases where the latter is applicable), showing very good agreement, and utilized to investigate the effects of the drill collar (borehole), anisotropy, and azimuthal rotations on the response of directional resistivity sensors.
ISSN:0196-2892
1558-0644
DOI:10.1109/TGRS.2009.2032539