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Extension to 3-D

All operators derived in this paper extend fairly readily to 3-D. In equation (1), xp becomes a vector quantity ($\vec{x_p}=[x_{p,1},x_{p,2}]^T$), though the derivation is the same. In equations (4) and (5) for the differential geometric spreading correction, x becomes $\sqrt{x_1^2+x_2^2}$, and $\tau^*$becomes a function of two midpoint axes. The reflection coefficient estimation scheme extends easily to 3-D, provided that HEMNO correctly aligns the primary and multiple.
next up previous print clean
Next: Conclusions Up: Brown: Pegleg amplitudes Previous: Applying the Seabed Reflection
Stanford Exploration Project
7/8/2003