SIMULATION OF A DC FIELD IN A HORIZONTAL WELL DRILLED IN A LAYERED CONDUCTOR
N.I. Gorbenko, Ya.L. Gurieva, V.P. Il'in, E.A. Itskovich, and M.I. Epov*
Institute of Computing Mathematics and Mathematical Geophysics, Siberian Branch of RAS, 6 prosp. Akad. Lavrent'eva, Novosibirsk, 630090, Russia
* Institute of Geophysics, Siberian Branch of the RAS, 3 prosp. Koptyuga, Novosibirsk, 630090, Russia
Keywords: Mathematical model, dc electric field, horizontal well, lateral logging
Pages: 1417-1424
Subsection: GEOPHYSICS
Abstract
The paper presents a mathematical model, numerical solutions and results for 3D fields from dc sources in a horizontal well drilled in a layered conductor. The model simulates the behavior of apparent resistivity in the well and its sensitivity to instrument parameters and variations in formation resistivity and thickness in terms of a boundary-value problem. BVP approximation is obtained as finite volume and iteration solutions to systems of grid algebraic equations using fast incomplete factorization solvers.
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