Abstract
AbstractWith a combination of the goodness of heuristic and in‐heuristic methods, we have studied a hybrid algorithm, that is stochastic hill‐climbing+conjugate gradient. We simplified the P‐wave NMO ellipse equations according to the fact that the rotation angle of the NMO ellipses for P‐wave is close to zero in monoclinic media. First, we performed inversion of angle between the initial CMP line and the natural coordinate as the base of subsequent inversion of Thomsen's anisotropic parameters. Then objective functions are established for joint inversion of Thomsen's anisotropic parameters with vertical velocities and NMO ellipses of three pure modes in a single monoclinic layer. To simulate errors in measured data, Gaussian noise with a variance to certain extent is added to vertical and NMO velocities. Then the inversion procedure is carried out for each realization of the data distorted by noise. The result of error analysis confirmed the accuracy and stability of the objective function and inversion method.
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