The method electromagnetically measures a
pipe inner
diameter ID and a
pipe ratio of magnetic permeability to electrical
conductivity μ2 / σ2 by means of a measuring arrangement 1 comprising a
transmitter coil 2 and a
receiver coil 3, both coils being coaxial to and longitudinally spaced from each other, the measuring arrangement 1 being adapted to be positioned into the
pipe CS and displaced through the pipe. The method comprises the steps of:a1) exciting the
transmitter coil 2 by means of a
transmitter current Ii, the transmitter current having a first excitation frequency f1,a2) measuring a
receiver voltage Vi at the
receiver coil 3, a3) determining a transimpedance Vi / Ii between the
transmitter coil 2 and the
receiver coil 3 based on the transmitter current Ii and the receiver
voltage Vi, and determining a measurement ratio Mi based on said transimpedance,b) repeating the excitation step a1), the measuring step a2), the transimpedance and the measurement ratio determination step a3) for at least a second excitation frequency f2 so as to define a measurement ratio vector [M1, M2, . . . Mn],c) calculating a prediction function vector [G1, G2, . . . Gn] based on the first and at least the second excitation frequency, a plurality of potential pipe ratio of magnetic permeability to electrical
conductivity and a plurality of potential pipe inner
diameter ID, andd) applying a minimizing
algorithm onto the measurement ratio vector [M1, M2, . . . Mn] and the prediction function vector [G1, G2, . . . Gn] and determining the pipe inner
diameter and the pipe ratio of magnetic permeability to electrical
conductivity corresponding to a maximum solution of the
algorithm.