论文标题

使用干涉目标函数的目标倒置反演

Target-enclosing inversion using an interferometric objective function

论文作者

Zheglova, Polina, Ravasi, Matteo, Vasconcelos, Ivan, Malcolm, Alison

论文摘要

完整的波形反演是一种高分辨率地下成像技术,其中使用完整的地震波形来推断地下物理属性。我们提出了一个基于干涉目标函数的新颖的,目标包含的全波反转框架。该目标函数利用来自感兴趣的目标区域周围的封闭边界的数据利用了卷积和相关表示公式之间的等效性。由于当封闭介质的知识不正确时会违反这种等价性,因此我们建议最大程度地减少两个表示公式独立重建的波场之间的不匹配。所提出的方法仅需要对地下模型的运动学知识,特别是重新出版的覆盖层,并且不需要对目标区域以下模型的先验知识。从这个意义上讲,它确实是局部的:仅对所选目标中的介质参数敏感,而没有关于介质或散射状态的假设。我们介绍了理论框架,并通过伴随状态方法得出了新目标函数的梯度,并将其应用于具有重新定为波场的合成示例。基于卷积表示定理的FWI与表面数据和面向目标的FWI的比较仅在目标恢复质量和计算成本的降低方面都显示了我们方法的优越性。

Full waveform inversion is a high-resolution subsurface imaging technique, in which full seismic waveforms are used to infer subsurface physical properties. We present a novel, target-enclosing, full-waveform inversion framework based on an interferometric objective function. This objective function exploits the equivalence between the convolution and correlation representation formulas, using data from a closed boundary around the target area of interest. Because such equivalence is violated when the knowledge of the enclosed medium is incorrect, we propose to minimize the mismatch between the wavefields independently reconstructed by the two representation formulas. The proposed method requires only kinematic knowledge of the subsurface model, specifically the overburden for redatuming, and does not require prior knowledge of the model below the target area. In this sense it is truly local: sensitive only to the medium parameters within the chosen target, with no assumptions about the medium or scattering regime outside the target. We present the theoretical framework and derive the gradient of the new objective function via the adjoint-state method and apply it to a synthetic example with exactly redatumed wavefields. A comparison with FWI of surface data and target-oriented FWI based on the convolution representation theorem only shows the superiority of our method both in terms of the quality of target recovery and reduction in computational cost.

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