Real-time tool mode waveform removal

A system comprising:

• a bottom hole assembly (BHA) that comprises:
• at least one transmitter configured to transmit a pressure pulse;
• and
• at least one receiver configured to record two or more waveforms;
• and an information handling system configured to:
• remove one or more tool mode waveforms from the two or more waveforms to form an updated set of waveforms after two or more individual recordations of the two or more waveforms;
• and
• form a formation slowness log based at least in part on the updated set of waveforms.

A method comprising:

• disposing a bottom hole assembly (BHA) into a wellbore, wherein the BHA comprises:
• at least one transmitter configured to transmit a pressure pulse;
• and
• at least one receiver configured to record onetwo or more waveforms;
• performing a logging-while-drilling (LWD) operation in which the two or more waveforms are recorded with the at least one receiver;t
• transmitting the two or more waveforms to an information handling system;
• removing one or more tool mode waveforms from the one or more waveforms to form an updated set of waveforms after two or more individual recordations of the two or more waveforms;
• and
• forming differential phase time semblance map based at least in part on the updated set of waveforms, wherein the differential phase time semblance map is performed in real-time.