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Generalized Relative and Cumulative Response Functions for Conductivity Meters Operating at Low Induction Numbers
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 23rd European Meeting of Environmental and Engineering Geophysics, Sep 2017, Volume 2017, p.1 - 5
Abstract
Relative and cumulative analytical response functions have been widely used as a powerful tool for forward modelling and interpretation of measurements obtained by electromagnetic induction conductivity meters operating at low induction numbers for one-dimensional layered earth models. These well-known functions were derived and should be used for the instruments laid on the surface of the earth. In this paper we extended these functions and obtained new generalized analytical expressions which can be used for instruments carried at any height from the surface. The proposed new equations were compared with numerically constructed functions, obtained using the full solution of the electromagnetic equations, and proved to be in very good agreement at low induction numbers.