| CPC E21B 47/006 (2020.05) [E21B 47/092 (2020.05); E21B 47/13 (2020.05); G01V 3/28 (2013.01); G01V 3/34 (2013.01); G01V 3/38 (2013.01); G01V 20/00 (2024.01)] | 18 Claims |

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1. A multi-string corrosion monitoring method that comprises:
transmitting a primary field of at least one frequency from a transmitter disposed on an electromagnetic (EM) logging tool;
measuring an electromagnetic field generated by at least a first eddy current from the primary field in at least one inner tubing string with the EM logging tool;
measuring an electromagnetic field generated by at least a second eddy current from the primary field in at least one outer tubing string with the EM logging tool; and
characterizing one or more attributes on the at least one inner tubing string or the at least one outer tubing string based at least in part on a cost function, wherein the cost function implements a first weighting coefficient for the first electromagnetic field, wherein the first weighting coefficient is based at least on the inner tubing string and a second weighting coefficient for the second electromagnetic field, wherein the second weighting coefficient is based at least on the outer tubing string.
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