Deep structural dip determination and improved reflection imaging using full-waveform borehole sonic data

A method for borehole sonic reflection imaging, comprising:

• disposing a borehole sonic logging tool in a wellbore, wherein the borehole sonic logging tool comprises one or more transmitters and one or more receivers;
• emitting sound waves from the one or more transmitters;
• receiving sound waves at the one or more receivers to obtain borehole sonic data with at least one receiver;
• separating up-going arrivals in the borehole sonic data from down-going arrivals in the borehole sonic data;
• generating a first reflection image based at least on the borehole sonic data from the at least one receiver;
• estimating a relative dip angle of a formation bed from at least the first reflection image;
• generating an updated velocity model based at least on applying trigonometric methods with the relative dip angle and the borehole sonic data, wherein trigonometric methods comprises at least:
• dy=tan(α)*x, wherein the cell at a lateral distance dx from the borehole, for each borehole depth position y and lateral distance x;
• and
• generating an updated reflection image based at least in part on the first reflection image, the updated velocity model, and the borehole sonic data.