Three-dimensional traveltime tomography is applied to a Saudi Aramco land data. Tomostatics are estimated using the near-surface velocity model from the traveltime tomogram and residual reflection statics are calculated using closure phase principle. The closure phase principle is widely used in astronomical imaging to estimate the phase aberrations of the atmosphere, which is here equivalent to the residual statics due to the local velocity variations at the source and receiver positions. The closure phase static method does not need to solve a large system of equations and thus is much faster than simulated annealing or gradient based methods. The stacked section is significently improved after the tomostatic correction compared to the brute stack section; and it is further improved by applying the closure phase residual static correction compared to that obtained by using the residual statics calculated by a gradient-based method. Simulated annealing method, although slow, gives the most coherent reflection section.

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