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Three-dimensional frequency-domain full waveform inversion based on the nearly-analytic discrete method

机译:基于近乎分析离散方法的三维频域全波形反演

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摘要

The nearly analytic discrete(NAD)method is a kind of finite difference method with advantages of high accuracy and stability.Previous studies have investigated the NAD method for simulating wave propagation in the time-domain.This study applies the NAD method to solving three-dimensional(3D)acoustic wave equations in the frequency-domain.This forward modeling approach is then used as the“engine”for implementing 3D frequency-domain full waveform inversion(FWI).In the numerical modeling experiments,synthetic examples are first given to show the superiority of the NAD method in forward modeling compared with traditional finite difference methods.Synthetic 3D frequency-domain FWI experiments are then carried out to examine the effectiveness of the proposed methods.The inversion results show that the NAD method is more suitable than traditional methods,in terms of computational cost and stability,for 3D frequency-domain FWI,and represents an effective approach for inversion of subsurface model structures.
机译:近乎分析的离散(NAD)方法是一种有限差分方法,具有高精度和稳定性的优点。另一种研究已经研究了时域中的模拟波传播的NAD方法。本研究将NAD方法应用于求解三 - 频率域中的尺寸(3D)声波方程。然后将前向建模方法用作实现3D频域全波形反转(FWI)的“发动机”。在数值建模实验中,首先给予合成实例与传统的有限差分方式相比,表明了NAD方法的优势。然后进行了合成3D频率域FWI实验以检查所提出的方法的有效性。复位结果表明,NAD方法比传统更合适在计算成本和稳定性方面,对于用于3D频域FWI的方法,并且代表了地下MO反转的有效方法Del结构。

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