Method of evaluating formations traversed by a borehole

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73152, 324351, 364300, 346 33WL, G01V 318, G01V 338, G01V 504, G06F 1520

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043386644

ABSTRACT:
A method which determines output parameters (such as porosity .phi. or water saturation S.sub.w of formations) from a set of logging measurements taken at each level of a borehole is proposed.
Measurement and response equation uncertainties of each logging apparatus are determined at each measurement level. Assumed values of the output parameters are chosen and, applying the response equations, calculated values of the measurements are determined. The calculated values of the measurements and the actual measurements are then compared to determine deviations which are weighted by factors calculated from the previously determined uncertainties. An incoherence function is determined from the weighted deviations and a number of "a-priori" constraints. Minimization of the incoherence function gives the most probable output parameters whose uncertainty is in turn calculated. The computed values of the measurements are plotted alongside an indication of the range of uncertainty of the actual measurements for their comparison so as to provide an indication of the reliability of the derived output parameters, which are also plotted with or without their own range of uncertainties.

REFERENCES:
patent: 3817328 (1974-06-01), Neuman
patent: 3986163 (1976-10-01), Elliot
patent: 4032779 (1977-06-01), Arnold et al.
patent: 4055763 (1977-10-01), Antkiw
patent: 4101476 (1977-03-01), Elliot
patent: 4245313 (1981-01-01), Coates
Thames: Computing in Calculus, Research and Development, May, 1975, vol. 26, No. 5, pp. 24-28, 30.

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