contents of the averaging bins is sent to the surface and recorded any frequency that is a multiple of u0192 l that is less than the half the a d rate can be extracted provided these frequencies are in the present in the spectrum of the transmitter current waveform induction tools measure apparent conductivities that suffer from a variety of environmental effects chief among these are skin effect and shoulder or adjacent bed effect the two are intertwined the vertical response varies with the conductivity level various methods exist for correcting for these effects an effective system requires a deconvolution over depth most prior art deconvolution techniques are not well suited to the asymmetrical elemental measurements of an array tool the present invention includes a new method of deconvolving the elemental measurements to match the vertical responses prior to any radial combination and a method for finding the corresponding filters induction tools measure the voltage of a set of receiver coils typically wound in series the receivers are arranged so that the direct mutual coupling from the transmitters is nulled in low conductivity homogeneous formations the voltage induced in the receiver coils is proportional to the formation conductivity the voltage multiplied by the appropriate u201c tool constant u201d will produce an apparent conductivity that is correct in the low conductivity limit but will be less than the actual conductivity in high conductivity formations this nonlinearity is.