Abstract：Along with development of seismic exploration by longer spread,the NMO correction by second order term doesn't meet the needs of NMO precision of longer spread,but high-order equadons face with the problems that have complicated parameter and large computational efforts.On the basis of analyzing Tariq equation and according to the method presented by Tsvankin et al,the paper introduced time-distance curve expression-NMO correction equation with optimized sixth-order term,which has rapid cempatational speed and simplified equation parameters.Because of smaller truncation errors of expansion equation than sixth-order term of its Taylor series,so it has higher precision. The results from synthetic records and seismic data show that adopting the equation with optimized sixth-order term has better effects than that of sixth-order Taylor series in NMO correction for seismic data with longer pread*which has good correlation for seismic events of different offsets,avoiding smear and making stack section have higher resolution and continuity.
