The presence of anisotropy influences many aspects of seismic wave propagation and therefore has profound implications for conventional data processing schemes in exploration seismics. Here, we have studied the lateral variation of the anellipticity parameter (η), the horizontal velocity (vhor) and normal moveout velocity (vnmo) using 2D surface seismic data acquired in the Gulf of Mexico. Data processing included application of a bandpass filter to remove frequencies outside of the useful signal bandwidth; formation of supergathers by vertically stacking nine consecutive common midpoint (CMP) gathers to enhance signal-to-noise ratio and frequency-wavenumber (F-K) filtering to suppress coherent noise. Frequency-offset (F-X) deconvolution and coherency filtering to further suppress residual random noise and enhance signal continuity. Moveout curves for three reflection events of interest were obtained by application of a rational interpolation procedure to tau-p derived travel times and offsets. Semblance analysis carried out on each of the moveout curves yielded η, vhor and vnmo. The results show that the effective and interval values of η varies mainly between 0.03-0.16±0.01 and 0.03-0.2±0.03, respectively. Effective values of vnmo and vhor vary between 1850-2250±111 and 1975-2475±122 m sec-1, respectively. Interval values of vnmo and vhor vary between 1750-2650±120 and 2100-3100±122 m sec-1, respectively. The results suggests that in ensembles 1-4 and 7-9, layer 2 is a shaly formation while layers 1 and 3 are sandy formations characterised by considerably reduced anellipticity.