Prestack migration

From the original velocity model, we generated several velocity model realizations by applying a percentile perturbation at the overburden zone. Using each velocity realization, we applied a 2-D prestack wave-equation migration Prucha et al. (1999) to the synthetic data. The resulting image is a function of the offset ray parameter p_hx, which is related to the aperture angle $\theta$, the dip $\phi$ along the in-line direction, and the velocity function $V\left(z,m\right)$,as follows:  

$$p_{hx}= \frac{2 \sin\theta \cos\phi}{V\left(z,m\right)}$$ (1)

Figure 4 shows the result of applying prestack wave-equation migration to the synthetic data, using the original velocity models (0% perturbation) .

 

mig
Figure 4 Result of applying prestack wave-equation migration to the synthetic data using the original velocity model. Left: model 1, right: model 2.