论文标题

1d各向异性表面波断层扫描与贝叶斯推断

1D Anisotropic Surface Wave Tomography with Bayesian Inference

论文作者

Magali, John Keith

论文摘要

从经典上讲,各向异性表面波断层扫描被视为优化问题,它通过线性的两步方法进行。它涉及在每个考虑的周期内构建2D组或相速度图,然后倒置从这些图中推断出的局部分散曲线,以弹性参数的1D深度函数。在这里,我们将第二步投入到完全贝叶斯的概率框架中。因此,逆问题的解决方案是模型参数的集合(\ textIt {i。} 1D弹性结构),该集合根据后验概率密度函数及其相应的不确定性限制分布。该方法应用于由3D构造的上地幔产生的方位变化的合成表面波色散曲线。我们表明,这样的过程捕获了上地幔结构的基本特征。但是,这些特征的鲁棒性强烈取决于所考虑的波场的波长以及模型参数化的选择。因此,应纳入其他信息以使问题正规化,例如岩石学约束以符合地球动力学预测。

Classically, anisotropic surface wave tomography is treated as an optimisation problem where it proceeds through a linearised two-step approach. It involves the construction of 2D group or phase velocity maps for each considered period, followed by the inversion of local dispersion curves inferred from these maps for 1D depth-functions of the elastic parameters. Here, we cast the second step into a fully Bayesian probability framework. Solutions to the inverse problem are thus an ensemble of model parameters (\textit{i.e.} 1D elastic structures) distributed according to a posterior probability density function and their corresponding uncertainty limits. The method is applied to azimuthally-varying synthetic surface wave dispersion curves generated by a 3D-deforming upper mantle. We show that such a procedure captures essential features of the upper mantle structure. The robustness of these features however strongly depend on the wavelength of the wavefield considered and the choice of the model parameterisation. Additional information should therefore be incorporated to regularise the problem such as the imposition of petrological constraints to match the geodynamic predictions.

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