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Equation 5 shows that using usual notations, the estimation problem can be formulated as a
conventional inversion problem. For a given reflector at a given midpoint, we represent the
RMO values for different aperture angles by the data vector . We represent the
perturbation vector by the model vector and denote the vector of correct migration velocity
(). The forward problem from equation 5 can thus be written
| |
(6) |

Under linearization around the correct migration velocity, the estimation of the anisotropic
parameters is thus equivalent to a conventional inversion problem: it consists in inverting the
forward modeling matrix to estimate the anisotropic parameters .

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** Up:** Anisotropic parameter estimation from
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Stanford Exploration Project

1/16/2007