Migration velocity analysis based on linearization of the two-way wave equation |

There are several advantages to minimizing the residual in image-space, such as increasing signal-to-noise ratio and decreasing the complexity of the data (Tang et al., 2008). The linearization in WEMVA is conventionally done based on the one-way wave equation. This approach has some advantages, such as the computational efficiency of one-way wave equation operators. However, it also suffers from disadvantages such as decreased accuracy or the inability to model wide-angle propagations.

In this paper, we show the derivation of a linearized tomographic operator that is based on the two-way wave equation. This operator is the essential part in constructing the gradient of any two-way wave equation based MVA, such as WEMVA by residual moveout fitting (Biondi, 2010). The two-way wave equation is linearized over slowness by dropping the second order slowness perturbation term. Also, the Born approximation is used to derive this operator. We also show a few ways to interpret and implement this operator. Finally, we show the resolution matrix of this operator.

Migration velocity analysis based on linearization of the two-way wave equation |

2010-11-26