Well integrity evaluation with eddy current diffusion time response

A method for well integrity evaluation, the method comprising:

• generating, via one or more transmitter coils in the well, an excitation current;
• measuring, via one or more receiver coils in the well, an eddy current response signal, wherein the eddy current response signal comprises a voltage response;
• determining, via one or more processors, a frequency-domain transfer function based on a ratio of the voltage response to the excitation current;
• suppressing, via the one or more processors, mutual inductance from the frequency-domain transfer function;
• generating, via the one or more processors, a time-domain waveform based on the mutual inductance suppressed frequency-domain transfer function;
• estimating one or more parameters of a material under inspection based on the time-domain waveform;
• and
• evaluating integrity of the well based on the estimated one or more parameters of the material under inspection.

A non-transitory computer readable medium comprising computer executable code for eddy current logging in a well, the computer executable code comprising:

• code for determining a frequency-domain transfer function based on a ratio of an eddy current voltage response signal to an excitation current;
• code for suppressing mutual inductance from the frequency-domain transfer function;
• code for generating a time-domain waveform based on the mutual inductance suppressed frequency-domain transfer function;
• and
• code for outputting information associated with the time-domain waveform.