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频域全波形反演能够获得高分辨率的反演结果,具有较高的计算效率,因此得到广泛应用。在传统单频点串行反演策略的基础上,提出一种多频点同时反演策略,并推导出一种新的目标函数表达式,应用于频域全波形反演算法中。该策略能够同时反演所有的频率分量,对于一组频点中的每个频点进行加权求和处理,从而避免了高频分量在反演结果中占据主导,同时避免反演结果中存在噪声干扰。分别用三种不同的模型进行验证。实验表明,相对于传统的单频点策略,多频点策略的反演结果具有更好的稳定性、正确性和鲁棒性;而且对于模型中明显介质边界的位置,它的反演结果更接近于目标模型。
Frequency domain full waveform inversion can obtain high-resolution inversion results, with high computational efficiency, it has been widely used. Based on the traditional single-frequency serial inversion strategy, a multi-frequency simultaneous inversion strategy is proposed and a new objective function expression is derived and applied to the full-wave frequency inversion algorithm. This strategy can invert all frequency components at the same time and perform weighted summation on each frequency point of a set of frequency points to avoid the high frequency components dominating the inversion results and avoid the noise in the inversion results interference. Three different models were used to verify. Experiments show that compared with the traditional single-frequency point strategy, the inversion results of multi-frequency point strategy have better stability, correctness and robustness. Moreover, the inversion result of the obvious medium boundary in the model is more Close to the target model.