Real-time 2-dimensional inversion process and its application to

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G06F 1900

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active

057037736

ABSTRACT:
The invention is a method of inversion processing signals from an induction well logging instrument including a transmitter and a plurality of receivers at spaced apart locations. The method includes skin effect correcting the responses of the receivers by extrapolating the receiver responses to zero frequency. A model is generated of the media surrounding said instrument. Conductivities of elements in the model are then adjusted so that a measure of misfit between the skin-effect corrected receiver responses and simulated receiver responses based on the model is minimized. The geometry of the model is then adjusted so that the measure of misfit between the skin-effect corrected receiver responses and the simulated receiver responses based on the model is further minimized. In a preferred embodiment of the invention, the step of adjusting the geometry includes minimizing the measure of misfit between the simulated responses and the receiver responses from selected ones of the receivers closely spaced to the transmitter. Numbers of and positions of radial boundaries are then determined by minimizing the measure of misfit for all the receiver responses.

REFERENCES:
patent: 4314339 (1982-02-01), Kenyon
patent: 5461562 (1995-10-01), Tabanou et al.
Grove, G.P., Minerbo, G.N. An Adaptive Borehole Correction Scheme for Array Induction Tools, SPWLA 32nd Annual Logging Symposium, Jun. 16-19, 1991.
Eaton, Perry A. 3D Electromagnetic Inversion Using Integral Equations, Geophysical Prospecting 37, 407-426, 1989.
Lines, L.R., Treitel, S. A Review of Least-Squares Inversion and Its Application to Geophysical Problems, Geophysical Prospecting 32, 159-186, 1984.

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