Multi-Dimensional Minimum Weighted Norm Interpolation, Survey ...

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Time (s) Time (s) Time (s) 0 0.2 0.4 0.6 0.8 1 1.2 0 0.2 0.4 0.6 0.8 1 1.2 0 0.2 0.4 0.6 0.8 1 1.2 (a) 100 200 300 400 500 Offset (m) (c) 100 200 300 400 500 Offset (m) (e) 100 200 300 400 500 Offset (m) Time (s) Time (s) Time (s) 0 0.2 0.4 0.6 0.8 1 1.2 0 0.2 0.4 0.6 0.8 1 1.2 0 0.2 0.4 0.6 0.8 1 1.2 (b) 100 200 300 400 500 Offset (m) (d) 100 200 300 400 500 Offset (m) (f) 100 200 300 400 500 Offset (m) a) True, b) Decimated, c) MWNI reconstruction, d) MWNI error panel, e) MNI reconstruction, and f) MWNI error panel. 20
EXAMPLE 2 - Gulf of Mexico CSG - MWNI is used to recover missing data (gaps) and to interpolate (∆hnew = 1/2∆h old) 21
Page 1 and 2: Multi-Dimensional Minimum Weighted
Page 3 and 4: MOTIVATION AVA imaging: Lack of amp
Page 5 and 6: - Interpolate - Migrate Survey Regu
Page 7 and 8: ⎛ ⎜ ⎝ Band-Limited Interpolat
Page 9 and 10: Band-limited Interpolation Minimum
Page 11 and 12: Band-limited Interpolation Minimum
Page 13 and 14: y = T ˜ x ⎛ ⎜ ⎝ x(2) x(3) x(
Page 15 and 16: Band-limited interpolation Reconstr
Page 17 and 18: Band-limited interpolation Reconstr
Page 19: EXAMPLE 1 - MWNI vs MNI 19
Page 23 and 24: EXAMPLE 3 - Marmousi 1 - Data are d
Page 25 and 26: (a) Time (s) 0 0.5 1.0 1.5 2.0 2.5
Page 27 and 28: (c) Time (s) 0 0.5 1.0 1.5 2.0 2.5
Page 29 and 30: EXAMPLE 4 - 3D WCB Post stack Inter
Page 31 and 32: Time (s) 0.8 1.0 1.2 1.4 1.6 1.8 2.
Page 33 and 34: EXAMPLE 5 - WCB Sparse 3D (Erskine)
Page 35 and 36: Time (sec) 0 0.5 1.0 1.5 EXAMPLE 5
Page 37 and 38: Depth (m) 0 500 1000 1500 EXAMPLE 5
Page 43 and 44: References [Interpolation] Cabrera

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