基于理论模型的各向异性扩散正则化约束弹性介质三参数全波形反演

    Theoretical model-based multi-parameter full waveform inversion for elastic media constrained by anisotropic diffusion regularization

    • 摘要: 波形反演是利用地震波数据反演推断地下介质参数。对于弹性介质多参数反演,由于纵横波速度以及密度参数之间的耦合性增加了波形反演的非线性,会导致反演结果出现串扰现象。为此,提出了一种基于非线性各向异性扩散正则化(NADF)约束的自动微分弹性介质多参数全波形反演方法:针对多参数反演中参数耦合性强、反演非线性强的问题,在目标函数中添加各向异性扩散正则化项,利用自动微分技术计算梯度,并结合小批次策略进行迭代优化。实验结果表明,非线性各向异性扩散正则化能够有效减少参数串扰,提高反演稳定性。

       

      Abstract: Waveform inversion refers to the process of inferring underground medium parameters using seismic wave data. For elastic media, the interdependency between P- and S-wave velocities and density parameters enhances the nonlinearity of multi-parameter waveform inversion, leading to crosstalk in the inversion results. Given this, this study proposed an automatic differentiation-based multi-parameter full waveform inversion method for elastic media constrained by nonlinear anisotropic diffusion regularization (NADR). To address the strong parameter coupling and high nonlinearity in multi-parameter inversion, this study added an anisotropic diffusion regularization term to the objective function. Then, it calculated gradients using automatic differentiation technology, followed by iterative optimization using a mini-batch strategy. Experimental results show that the NADR can effectively mitigate parameter crosstalk and improve the inversion stability.

       

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