Conductivity of layered reservoirs in induction data processing: continuous-function approximation

We suggest to approximate the depth-dependent conductivity of layered formations by continuous functions and use this approach to design an algorithm for 2D inversion of induction logging data. The logs represent formations consisting of alternating thin clay and sand layers of varying thickness, in which the sand layers can involve a developed invaded zone of a complex structure. Comparison of synthetic logs in models with piecewise constant and continuous approximations of conductivity shows that the continuous-function approximation is accurate within 5%, and the accuracy improves as the average conductivity of the layered formation is taken into account.