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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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基于柯西分布的频率域全波形反演
Keywords: 全波形反演,频率域,噪声,柯西分布
Abstract:
？全波形反演利用了波形的整体特征，是一种高分辨率的成像方法。目前广泛使用的最小二乘法全波形反演隐含了地震数据处理中噪声服从正态分布，限制了实际应用的效果。本文在假设地震数据噪声误差服从柯西分布的前提下，提出了一种基于柯西分布的频率域目标函数构造方法，推导出了相应的梯度表达式，通过对理论模型的数值合成记录加入随机脉冲噪声、高斯噪声和线性噪声，验证本方法的正确性。反演过程中采用拟牛顿法从低频到高频进行了多尺度的全波形反演，并将低频反演结果作为高频反演的初始模型以便减少解的非唯一性。研究结果表明：该方法相对于最小二乘全波形反演方法，在噪声存在且不满足高斯正态分布的情况下，仍然能够得到较好的反演结果。
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