Systems and methods for dielectric mapping during pulsed-power drilling

A method, comprising:

• forming, by a drill bit, a first electrical arc between a first pair of electrodes by applying a first electrical pulse to the first pair of electrodes during a pulsed drilling operation;
• recording responses to the first electrical pulse during the pulsed drilling operation;
• generating an estimate of a dielectric constant;
• obtaining a first measurement representing the recorded responses;
• determining a measured value of a dielectric constant based on the first measurement;
• determining that the estimate of the dielectric constant and the measured value of the dielectric constant converge;
• and
• determining a first value of a dielectric constant associated with a portion of a formation in proximity to the drill bit based, at least in part, on the convergence.

A sensor analysis system, comprising:

• a computer processor;
• a computer-readable medium for storing instructions, the instructions when read and executed by the computer processor cause the processor to:
• generate an estimate of a dielectric constant;
• receive a first measurement from a first sensor, the first measurement representing responses recorded by the first sensor, the responses recorded by the first sensor in response to a first electrical pulse applied to a first pair of electrodes on a drill bit during pulsed drilling operation;
• determine that the estimate of the dielectric constant and a measured value of a dielectric constant converge, wherein the measured value of the dielectric constant is based on the first measurement;
• and
• determine a first value of a dielectric constant associated with a portion of a formation in proximity to the drill bit, wherein the first value of the dielectric constant is based, at least in part, on the convergence.