Joint AVO inversion in the time and frequency domain with Bayesian interference

Joint AVO inversion in the time and frequency domain with Bayesian interference
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贝叶斯干扰时频域联合AVO反演

DOI:
10.1007/s11770-016-0584-7
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发表时间:
2016-12
期刊:
影响因子:
0.7
通讯作者:
Li Kun
Li Kun
中科院分区:
地球科学4区
文献类型:
--
作者:
Zong Zhaoyun;Yin Xingyao;Li Kun

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振幅变化与偏置或入射角(AVO/AVA)反演通常与统计方法相结合,如贝叶斯推理或确定性反演。提出了一种基于贝叶斯反演理论的时频联合弹性反演方法,以提高估计的纵波速度和纵波密度的分辨率。首先结合地震时频域数据,利用贝叶斯推理构造目标函数。我们使用柯西和高斯概率分布密度函数分别获得模型参数和似然函数的先验信息。我们通过求解初始目标函数并添加模型约束来估计弹性参数,以提高反演鲁棒性。合成数据的结果表明,估计参数的频谱在时域上比常规弹性反演得到的频谱宽。此外,与频域的反演方法相比,所提出的反演方法具有更强的抗噪性。此外,加入高斯噪声的合成算例的结果表明了该方法的鲁棒性。从实际数据可以看出,本文提出的关节弹性反演方法可以再现更多的模型参数细节。
Amplitude variations with offset or incident angle (AVO/AVA) inversion are typically combined with statistical methods, such as Bayesian inference or deterministic inversion. We propose a joint elastic inversion method in the time and frequency domain based on Bayesian inversion theory to improve the resolution of the estimated P- and S-wave velocities and density. We initially construct the objective function using Bayesian inference by combining seismic data in the time and frequency domain. We use Cauchy and Gaussian probability distribution density functions to obtain the prior information for the model parameters and the likelihood function, respectively. We estimate the elastic parameters by solving the initial objective function with added model constraints to improve the inversion robustness. The results of the synthetic data suggest that the frequency spectra of the estimated parameters are wider than those obtained with conventional elastic inversion in the time domain. In addition, the proposed inversion approach offers stronger antinoising compared to the inversion approach in the frequency domain. Furthermore, results from synthetic examples with added Gaussian noise demonstrate the robustness of the proposed approach. From the real data, we infer that more model parameter details can be reproduced with the proposed joint elastic inversion.
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