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Exploring Fresnel Zone Migration: Resolving Smear Reflections in Seismic Data

This study delves into the complexities of migration resolution within Fresnel zones, particularly its impact on smear reflections along fat circles. We investigate the significance of offset traces, revealing how far-offset traces enhance horizontal resolution while near-offset traces improve vertical resolution. Through mathematical modeling, we analyze how scatterer responses in migration yield blurred representations of point data, ultimately addressing the nuances of image clarity in migrated seismic sections. Findings emphasize the importance of choosing appropriate traces for enhanced resolution in seismic imaging.

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Exploring Fresnel Zone Migration: Resolving Smear Reflections in Seismic Data

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  1. Migration Resolution

  2. Fresnel Zone T/2 L  z 2 L z

  3. ZO Migration Smear Reflections along Fat Circles   rs + T rs o 1-way time r x s  2 2 (x-x ) + y = d(x , ) s rs 2c s

  4. ZO Migration Smear Reflections along Fat Circles  rs & Sum  1-way time x d(x , ) s

  5. ZO Migration Smear Reflections along Circles  rs & Sum  1-way time r d(x , ) s

  6. ZO Migration Resolution Intersection of Fresnel Zones Intersection of Fresnel Zones Vertical Res. = Near-Offset Traces

  7. ZO Migration Resolution Intersection of Fresnel Zones Intersection of Fresnel Zones Horiz. Res. = Far-Offset Traces

  8. Why is Pt. Scatterer Response of Migration a Blurred Version of Point? Lr d = Lr but Migration: Migration Section = Blured Imageof r Migrated Section Data T m = L d

  9. 0 km 3 km 0 km 7 km

  10. T -1 T m = (L L) L d x T • ZO Migration: m = L d Smear reflections along fat circles ..  d(x, ) m(x’) = xx’ T • m = (L L) r A(x,x’) Conclusions LSM: • Far-Offset Traces = Better Hor. Res. • Near-Offset Traces = Better Vert. Res.

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