Reduction of a tool wave excited by a transmitter of a well logging tool

A system comprising:

• a logging tool comprising one or more transmitters and one or more receivers, wherein the one or more transmitters and one or more receivers are positioned along a longitudinal axis of the logging tool, and wherein the logging tool comprises a tool wave propagating factor which is different from a formation wave propagating factor;
• a processor;
• a non-transitory machine readable media having program code executable by the processor to cause the processor to:
• transmit, by a primary transmitter of the one or more transmitters positioned along a longitudinal axis of a logging tool, a primary acoustic wave into a geologic formation which excites a tool wave and a formation wave in the geologic formation, wherein the logging tool comprises a tool wave propagating factor which is different from a formation wave propagating factor;
• receive, by one or more receivers positioned along the longitudinal axis of the logging tool, the formation wave and the tool wave;
• propagate waveform data associated with the tool wave and formation wave received by an auxiliary receiver of the one or more receivers based on a distance between the auxiliary receiver and a primary receiver of the one or more receivers;
• and
• reduce the tool wave in waveform data associated with the formation wave and the tool wave received by a primary receiver of the one or more receivers based on the propagated waveform data.