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Analysis of triaxial well-logging sensors in layered anisotropic earth formations

We apply a pseudo-analytical algorithm to computing time-harmonic responses of steeply deviated triaxial electromagnetic induction sensors, used in the well-logging of hydrocarbon reserves, which are embedded in planar-layered media of general anisotropy and loss. Many geophysical parameter inversion techniques heavily rely upon repeated use of computational forward engines, whose robust accuracy (error-control) and compute speed remain daunting challenges even for canonical geometries such as planar-layered media. Particularly challenging are scenarios where the sensors are highly deviated (tilted) and/or media of diverse anisotropy and conductivity characteristics are simultaneously present. We address these challenges via judiciously defining and employing an integration contour deformation (imparting exponential convergence), to whose semi-infinite “tails” the Mosig/Michalski Method of Weighted Averages' integral partition-extrapolation technique is applied (robustly imparting algebraic convergence acceleration). Numerical results, compared against a literature reference, demonstrate the algorithm's performance.