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![]() | 3D generalized nonhyperboloidal moveout approximation | ![]() |
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For a more complex model, we introduce azimuthal rotation of 50
and 30
in the middle layer (Layer 2) and the bottom layer (Layer 3) of the three-layer model from the previous example respectively. The angle measurement is done with respect to the top layer. Similarly to before, the effective coefficients for previously proposed approximations are calculated by the VTI averaging relationship. The reference rays for the proposed approximation (equation 1) are shot at
and
along
-axis, at
and
along
-axis, at
and
along
, and at
and
along
. The proposed generalized approximation shows again the highest accuracy (Figure 5).
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onelayernmoazi,onelayeralazi,onelayerxuazi,onelayergmaazi
Figure 3. Error plots in the 30 ![]() ![]() |
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layerednmo,layeredal,layeredxu,layeredgma
Figure 4. Error plots in the aligned three-layer orthorhombic model of a) NMO ellipse b) approximation by Al-Dajani et al. (1998) c) approximation by Xu et al. (2005), and d) the proposed approximation. Note that b), c), and d) are plotted under the same color scale and ![]() |
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layerednmoazi5030,layeredalazi5030,layeredxuazi5030,layeredgmaazi5030
Figure 5. Error plots in the three-layer orthorhombic model with azimuthal rotation of sublayers (50 ![]() ![]() ![]() |
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![]() | 3D generalized nonhyperboloidal moveout approximation | ![]() |
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