Integral equation of relationship on the apparent

Authors: JianHao Li

Publish Date: 2014/01/27

Volume: 57, Issue: 8, Pages: 1972-1978

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Abstract

This paper investigates the relation between the induced electromotive force measured by induction logging tool and the apparent conductivity and the relation between the apparent conductivity and the formation true conductivity Assuming the conductivity in Green’s function to be the function of the field point coordinate the apparent conductivity expression of electricfield intensity is derived using Green’s formula and the integral equation has been established representing the relationship of the apparent conductivity with the true conductivity under this condition The integral equation is analyzed and then leads to the conclusion that the equivalent conductivity is the apparent conductivity and the values of the apparent conductivity function contain the true conductivity and the method derived the true conductivity from the apparent conductivity around the well axis is put forward The validity of the approach given in this paper is verified through numerical calculation On the basis of above means the transmitter coil produces an electricfield distribution in formation at every point where the induction logging tool moves along a wellbore and a number of the receiving coils obtain an apparent conductivity distribution this is what induction electricfield logging is

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