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We studied full waveform inversion of seismic data acquired in elastic media to develop subsurface images from raw shot gathers. The forward modeling is based on finite difference solution of the elastic wave equation in the frequency domain. Gradient vector is calculated using an adjoint-state technique and pseudo Hessian matrix is used to precondition the gradient vector to update the model parameter via preconditioned conjugate gradient method. Two synthetic examples from crosswell tomography and surface acquisition experiments are presented to examine the ability of the method in proper subsurface imaging.