For full waveform inversion (FWI), the inversion effect of deep part was not as good as the effect of shallow area. To solve this problem, this paper proposed a new weighted energy gradient method which performs preprocessing on weighted energy computed though demigration method without the increase of computation amount. This improved weighted energy method overcomes the fault of inaccurate weighted energy and slow convergence of conventional calculating method and it can not only improve the overall inversion effects, but also accelerate the rate of iterative convergence. Finally, this paper makes comparison of conventional weighted energy method and this improved method through model test and it proved that this method can better improve the inversion effect and iterative convergence rate.


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