System and method for reducing coherent and random noise in seismic data

A non-transitory computer-readable memory comprising computer-executable instructions stored thereon that, when executed on a processor, cause the processor to perform:

• obtaining a plurality of time-space waveforms;
• generating a plurality of overlapping time-space windows by dividing the plurality of time-space waveforms;
• for each overlapping time-space window:
• determining a transformed window from the time-space window,
• determining a coherent noise window from the transformed window by performing a first soft thresholding based, at least in part, on a predetermined parameter range,
• determining a random noise window from the transformed window by performing a second soft thresholding, and
• determining a time-space filtered window based, at least in part, on subtracting the coherent noise window and the random noise window from the overlapping time-space window;
• and
• determining a plurality of time-space filtered waveforms by assembling the time-space filtered window for each of the plurality of overlapping time-space windows.

A system, comprising:

• a well that penetrates a hydrocarbon reservoir, bored by a drilling rig and equipped with seismic-while-drilling sensors configured to record a plurality of time-space waveforms;
• and,
• a signal processor, configured to:
• obtain the plurality of time-space waveforms;
• generate a plurality of overlapping time-space windows by dividing the plurality of time-space waveforms;
• for each overlapping time-space window:
• determine a transformed window from the time-space window,
• determine a coherent noise window from the transformed window by performing a first soft thresholding based, at least in part, on a predetermined parameter range,
• determine a random noise window from the transformed window by performing a second soft thresholding, and
• determine a time-space filtered window based, at least in part, on subtracting the coherent noise window and the random noise window from the overlapping time-space window;
• and,
• determine a plurality of time-space filtered waveforms by assembling the time-space filtered window for each of the plurality of overlapping time-space windows.