Migration Resolution.

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Presentation transcript:

Migration Resolution

m = L d T T -1 r = [L L] m 0 km 3 km 0 km 7 km 0 km 7 km

Rayleigh Resolution  z 4 L L/2 z Dx = min. separation & distinguishable Dx  z L 4

Fresnel Zone T/2 L z  z L 4

Horizontal Resolution Formula For ZO Migration Intersection of Fresnel Zones Horiz. Res. = Far-Offset Traces

Horizontal Resolution Formula What is width of minimum For ZO Migration What is width of minimum Lateral cut at depth z? Horiz. Res. = Far-Offset Traces Intersection of Fresnel Zones

Horizontal Resolution Formula For ZO Migration (Farfield) x l 4 L = ~ z L z l 4 Lateral resolution gets better as L increases, wavelength decreases, and depth gets more shallow D x

Horizontal Resolution Formula For ZO Migration (Farfield) q q tan = = L/z ~ Small angle approx. valid when L>>z l 4 D x q sin = l 4 = L/z ~ q D x D x l 4 L = ~ z Goal: Formula for x D

Aperture Width is also Function of Layer Dip Angle and Depth

Conclusions ..  d(x, ) LSM: ZO Migration: m = (L L) L d T -1 LSM: m = L d T ZO Migration: ..  x d(x, ) A(x,x’)  xx’ = m(x’) Smear reflections along fat circles Far-Offset Traces = Better Hor. Res. Near-Offset Traces = Better Vert. Res. m = (L L) r T D x l 4 L = ~ z l/4 = D z .

Exercise Create a 6 point scatterer model, with each pair of point scatterers separated by a wavelength. Generate synthetic ZO data and migrate it. Determine if the resolution formula are validated by measuring the apparent x distance between adjacent point scatterers in the image. Use mesh to display image. l D x l 2 L = ~ z l = 100 m 2 km 2 km