Institute of Computational Mathematics and Mathematical Geophysics

International Conference on Mathematical Methods in Geophysics «MMG-2003»

Akademgorodok, Novosibirsk, Russia, October 8-12, 2003

Abstracts

Mathematical problems in geophysical investigations of solid Earth

Mathematical Modeling, of the Mud Resistivity Sonde Readings in 3D Geometries

Dashevsky Y.A, Surodina I.V., Epov M.I.

Institute for Geophysics,
Institute of Computational Mathematics end Mathematical Geophysics (Novosibirsk),
Institut for Geophysics

The method of High-Frequency Induction Logging Isoparametric Sounding (VIKIZ method) is widely used in geophysical investigations. The results of quantitative VIKIZ logs interpretation allow evaluation of the hydrocarbon saturation and lithology of a terrigeneous section. To make these results more reliable, it is very important to take into account values of borehole fluid resistivity. This information can be obtained through Mud Resistivity Sonde(MRS).

The mud resistivity measurement is based on the four electrode principle. The electrodes are wrapped around insulating mandrel inside a metallic sleeve with openings. The motion of MRS causes mud to follow through the sleeve openings and over the electrode array.

We propose a new approach which permits us to calculate MRS readings in 3D anysotropic geoelectrical model. The distinguished feature of our finite-difference scheme is the possibility to provide accurate results for models with very high redistivity contrasts.

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