### Abstract

Wave equation migration velocity analyis (WEMVA) is based on wavefield linearization using the Born approximation which allows image perturbations to be related to the corresponding slowness perturbations. The problem with this linearization is the divergence of the inversion scheme if the image perturbations are large. This imposes severe restrictions on the amount of slowness anomaly that can be estimated using WEMVA. In this paper we suggest the use of cascaded image perturbations to overcome the small slowness perturbation restriction. The idea is to proceed towards the correct image in small steps or cascades so that the image perturbations at each cascade never violate the Born approximation. The large slowness anomaly is then obtained by solving two linear systems at each of these cascades and adding them up.

Original language | English (US) |
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State | Published - Jan 1 2004 |

Event | 2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004 - Denver, United States Duration: Oct 10 2004 → Oct 15 2004 |

### Other

Other | 2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004 |
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Country | United States |

City | Denver |

Period | 10/10/04 → 10/15/04 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Geophysics

### Cite this

*Theory of wave-equation migration velocity analysis by cascaded image perturbations*. Paper presented at 2004 Society of Exploration Geophysicists Annual Meeting, SEG 2004, Denver, United States.

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**Theory of wave-equation migration velocity analysis by cascaded image perturbations.** / Sen, Satyakee; Anandakrishnan, Sridhar.

Research output: Contribution to conference › Paper

TY - CONF

T1 - Theory of wave-equation migration velocity analysis by cascaded image perturbations

AU - Sen, Satyakee

AU - Anandakrishnan, Sridhar

PY - 2004/1/1

Y1 - 2004/1/1

N2 - Wave equation migration velocity analyis (WEMVA) is based on wavefield linearization using the Born approximation which allows image perturbations to be related to the corresponding slowness perturbations. The problem with this linearization is the divergence of the inversion scheme if the image perturbations are large. This imposes severe restrictions on the amount of slowness anomaly that can be estimated using WEMVA. In this paper we suggest the use of cascaded image perturbations to overcome the small slowness perturbation restriction. The idea is to proceed towards the correct image in small steps or cascades so that the image perturbations at each cascade never violate the Born approximation. The large slowness anomaly is then obtained by solving two linear systems at each of these cascades and adding them up.

AB - Wave equation migration velocity analyis (WEMVA) is based on wavefield linearization using the Born approximation which allows image perturbations to be related to the corresponding slowness perturbations. The problem with this linearization is the divergence of the inversion scheme if the image perturbations are large. This imposes severe restrictions on the amount of slowness anomaly that can be estimated using WEMVA. In this paper we suggest the use of cascaded image perturbations to overcome the small slowness perturbation restriction. The idea is to proceed towards the correct image in small steps or cascades so that the image perturbations at each cascade never violate the Born approximation. The large slowness anomaly is then obtained by solving two linear systems at each of these cascades and adding them up.

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M3 - Paper

ER -