Bucking to improve permanent reservoir monitoring sensitivity

A well monitoring system, comprising:

• a plurality of transmitter coils coupled to an exterior of a casing positioned within a wellbore, wherein one or more first transmitter coils are positioned at a first location and one or more second transmitter coils are positioned at a second location axially offset from the first location;
• at least one receiver coil coupled to the exterior of the casing and positioned at the second location, wherein the at least one receiver coil and the one or more second transmitter coils are axially spaced from each other at the second location;
• and
• a power source that generates a first cycle and a second cycle, the power source communicably coupled to the one or more first and second transmitter coils, wherein the one or more first transmitter coils generates a magnetic field detectable by the at least one receiver coil in response to the first cycle, and the one or more second transmitter coils generates a bucking signal that minimizes a direct coupling between the one or more first transmitter coils and the at least one receiver coil in response to the first cycle, wherein the one or more second transmitter coils generates a magnetic field detectable by the at least one other receiver coil in response to the second cycle, and the one or more first transmitter coils generates a bucking signal that minimizes a direct coupling between the one or more second transmitter coils and the at least one other receiver coil;
• wherein casing is wellbore lining that includes lengths of pipe coupled end to end using at least one casing collar.