A method is discussed of obtaining a parameter of interest of an earth formation,
typically a formation resistivity or a distance to a bed boundary, in conditions
where an induction tool is using having a body with finite, non-zero conductivity.
The method substantially removes the effects of the conductivity of the tool from
the signal received from the earth formation. A Taylor series expansion in one
half of odd integer powers of time is used to represent the received signal. At
least one leading term of the Taylor series expansion can be subtracted from the
second signal. A filtering operation is applied to the second signal to remove
the terms most dominated by pipe effects. Typical filtering operations can be a
differential filtering operation or an integral filtering operation.