Dynamic Convolution-based Misfit Function for Time Domain Full Waveform Inversion

Dynamic Convolution-based Misfit Function for Time Domain Full Waveform Inversion
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基于动态卷积的失配函数时域全波形反演

DOI:
10.1007/s00024-018-1968-9
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发表时间:
2018-08
影响因子:
2
通讯作者:
Hongliang Jing
Hongliang Jing
中科院分区:
地球科学3区
文献类型:
--
作者:
Xuebao Guo;Hong Liu;Ying Shi;Weihong Wang;Zhen Zhang;Hongliang Jing

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在相同的传播算子下,地震子波的精度决定了合成数据能否与现场数据准确匹配。通过构造褶积波场目标函数,忽略了模拟数据与观测数据之间的震源差异,从而避免了震源子波的估计。从理论上讲,这一过程对小波的精度没有限制,利用不同主频的源子波可以实现多尺度的反演策略。当采用的传播算子与实际情况不符时,即使小波和参数模式都是精确的,也不可能模拟出观测数据的全部波形。同时,格林函数的差异给褶积波场目标函数带来了新的误差,影响了最终的反演结果。本文提出的方法是基于褶积波场目标函数的。在原始单个参考道的基础上,讨论了卷积波场型目标函数在不同炮检距下选择多个参考道时的性能。在引入改变后的波场信息后,目标函数具有适应不同类型数据的能力。分析表明,引入不同的波场信息后,非线性度显著增加,且随反演频率的增加而增加。即使对于各向异性的资料,仍然有可能在低频阶段给出一个相对精确的结构,这表明来自不同炮检距的波场信息有助于减弱算子失配带来的伪影,从而为声波方程反演的应用提供了更多的可能性。
Under the same propagation operator, the precision of the seismic wavelet determines whether synthetic data can match field data accurately. By constructing the convolution wavefield objective function, the source difference between simulated and observed data is ignored, thus avoiding the source wavelet estimation. Theoretically, this process has no restriction on the accuracy of the wavelet, and a multi-scale inversion strategy can be implemented by using a source wavelet with different dominant frequencies. When the propagation operator used does not conform with reality, even if both the wavelet and the parameter mode are accurate, it is impossible to simulate the full waveforms of the observed data. Meanwhile, the difference in the Green function brings new discrepancy to the convolution wavefield objective function and affects the final inversion results. The method presented in this paper is based on the convolution wavefield objective function. On the basis of an original single reference trace, we discuss the performance of the convolution wavefield-type objective function under multiple reference traces selected from different offsets. After introducing the changed wavefield information, the objective function has the ability to adapt to different types of data. The analysis shows that nonlinearity is significantly increased after introducing the different wavefield information and also increases with inversion frequency. Even for anisotropic data, it is still possible to give a relatively accurate structure at the low-frequency stage, which shows that the wavefield information from different offsets can help to weaken the artifacts introduced by operator mismatch, thus providing more possibilities for the application of acoustic wave equation inversion.
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