Application of multi-source waveform inversion to marine streamer data using the global correlation norm
Application of multi-source waveform inversion to marine streamer data using the global correlation norm
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DOI：
10.1111/j.1365-2478.2012.01079.x
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发表时间：
2012-07-01
影响因子：
2.6
通讯作者：
Alkhalifah, Tariq
中科院分区：
文献类型：
--
作者：
Choi, Yunseok;Alkhalifah, Tariq
由于观测数据和建模数据之间的采集几何形状不一致，使用基于最小二乘失配的目标函数的传统多源波形反演无法应用于海洋拖缆采集数据。为了将多源波形反演应用于海洋拖缆数据，我们使用观测数据和建模数据之间的全局相关性作为替代目标函数。从全球相关范数导出的新残余地震图衰减了观测数据配置不支持的模型数据，因此可以应用于海洋拖缆数据的多源波形反演。我们还表明，全局相关范数在理论上与归一化波场的最小二乘范数相同。为了有效地计算梯度，我们的方法采用了类似于基于波动方程的伴随状态的逆时偏移的反向传播算法。在数值算例中，使用全局相关范数的多源波形反演对于海洋拖缆采集数据的反演结果比传统方法更好。
Conventional multi-source waveform inversion using an objective function based on the least-square misfit cannot be applied to marine streamer acquisition data because of inconsistent acquisition geometries between observed and modelled data. To apply the multi-source waveform inversion to marine streamer data, we use the global correlation between observed and modelled data as an alternative objective function. The new residual seismogram derived from the global correlation norm attenuates modelled data not supported by the configuration of observed data and thus, can be applied to multi-source waveform inversion of marine streamer data. We also show that the global correlation norm is theoretically the same as the least-square norm of the normalized wavefield. To efficiently calculate the gradient, our method employs a back-propagation algorithm similar to reverse-time migration based on the adjoint-state of the wave equation. In numerical examples, the multi-source waveform inversion using the global correlation norm results in better inversion results for marine streamer acquisition data than the conventional approach.