ABSTRACT To improve the efficiency of seismic waveform inversion, we construct a novel high-order (6th-order) frequency-domain nearly analytic discrete method for forward modelling in inversion processes. Compared with some existing numerical schemes, this method is more powerful in suppressing numerical dispersion and enhancing the accuracy of computational results based on coarse discrete grids. We describe the discretisation of the frequency-domain wave equation, investigate the efficiency of wave-field simulation and perform numerical dispersion analysis. The inversion efficiency can also be improved when the inexact rotated block triangular preconditioned Krylov iteration solvers are incorporated into the corresponding linear system. Moreover, the inversion behaviour of frequency-domain NAD methods is also systematically discussed as one of its important applications. We take three representative media models as examples and the reliable inversion results are obtained reflecting the effectiveness of the proposed methods.

中文翻译：

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一种高精度低色散近解析差分法及其在频域地震波形反演中的应用

摘要 为了提高地震波形反演的效率，我们构建了一种新的高阶（6 阶）频域近解析离散方法，用于反演过程中的正演建模。与现有的一些数值方案相比，该方法在抑制数值离散和提高基于粗离散网格的计算结果的准确性方面更有力。我们描述了频域波动方程的离散化，研究了波场模拟的效率并进行了数值色散分析。当不精确旋转块三角形预处理克雷洛夫迭代求解器加入相应的线性系统时，也可以提高反演效率。而且，频域 NAD 方法的反演行为也被系统地讨论为它的重要应用之一。我们以三个具有代表性的媒体模型为例，获得了可靠的反演结果，反映了所提出方法的有效性。