Wave-equation migration velocity analysis beyond the Born approximation
نویسندگان
چکیده
The Born approximation is based on the assumption of small slowness perturbation. We investigate the limits of the Born approximation when applied to wave-equation migration velocity analysis and propose two new schemes which allow for larger slowness anomalies, while improving accuracy and increasing stability. The new schemes are based on linearizations of exponential functions using bilinear and implicit approximations, rather than the (Born) explicit approximation. We demonstrate the feasibility of our new operators on a synthetic example with highly variable background and strong slowness anomalies.
منابع مشابه
A tutorial on mixed-domain wave-equation migration and migration velocity analysis
This tutorial describes mixed-domain wave-equation migration and migration velocity analysis techniques in a unified theoretical framework. I review two of the most general mixed-domain migration methods, Fourier finite-difference and generalized screen, and show how other commonly used wave-equation migration methods come about as special cases. I use the Born approximation to derive general e...
متن کاملBorn-compliant image perturbation for wave-equation migration velocity analysis
Wave-equation migration velocity analysis produces wrong results if it starts from an image perturbation which is not compliant with the assumed Born approximation. Earlier attempts to correct this problem lead to either unreliable or hard to implement solutions. In this paper, we present a new method designed to construct image perturbations that are always compliant with the Born approximatio...
متن کاملWave-equation migration velocity analysis: Episode II
We elaborate the main points of the wave-equation migration velocity analysis method introduced in a previous report. We analyze its strengths and limitations, and illustrate them using a synthetic example. The inversion results confirm our original expectations, especially with regard to stability and robustness. The main difficulty in recovering a complete velocity perturbation is related to ...
متن کاملWave-equation MVA: Born, Rytov and beyond
The linearized wave-equation MVA operator can be used for velocity analysis using both Born and Rytov approximations. The distinction arises from the method used to compute the image perturbations. Both approximations suffer from limitations that limit their practicality: the Born approximation is usable only for small anomalies, while the Rytov approximation requires phase unwrapping. Differen...
متن کاملWave-equation migration velocity analysis by inversion of differential image perturbations
Wave-equation migration velocity analysis is based on the linear relation that can be established between a perturbation in the migrated image and the corresponding perturbation in the slowness function. Our method formulates an objective function in the image space, in contrast with other wave-equation tomography techniques which formulate objective functions in the data space. We iteratively ...
متن کامل