UNE APPLICATION DE LA THÉORIE DES MILIEUX HÉTÉROGÈNES
ALPHA DANS L'INTERPRÉTATION DES DIAGRAPHIES
ÉLECTRIQUES DES SONDAGES

Par VAN PHON NGUYEN et A. BABSKOW

It is well known that the resistivity values indicated by the usual electrical logging arrangements (normal, lateral), are only apparent resistivities which must be corrected for obtaining actual rock resistivity values for the influence of the mud in the well bore and in the invaded zone.
In the classical method of calculation, using charts for the lateral electrical sounding, the invaded zone is admitted to have a constant resistivity throughout its extension. This hypothesis is certainly not conformal to reality, because the mud cannot be uniformly spread in the invaded zone. The media theory allows to study a model which is probably more adequate to represent the reality. In this model the resistivity varies continuously from its value on the wall of the hole to its value in the uncontaminated zone. Analytical formulae are established for the apparent resistivity. Organigrams and a set of lateral sounding curves, calculated for particular values of the parameters involved, are presented.