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基于谱分解的薄层预测方法

Keywords: mp,时频分布,偶分量,峰值频率,薄层厚度预测

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Abstract:

?本文基于复信号的瞬时特征,实现了基于雷克子波的两步匹配追踪(matchingpursuit,mp)算法。借助三层双界面反射系数模型推导了地震信号偶分量的峰值频率与薄层厚度的一一对应关系,结合时频分辨率较高的mp分解,提出了利用反射系数序列的奇、偶分解原理求取薄层厚度的新方法:地震记录在地震子波为零相位时关于某时窗中心的奇、偶分量,相当于对应反射系数关于该时窗中心的奇、偶分解与子波的褶积结果;在子波主频确定的情况下,偶分量峰值频率和层厚之间关系,不再受限于薄层反射系数因素的制约,两者之间满足一一对应关系;通过mp分解得到偶分量峰值频率,代入峰值频率—薄层厚度关系曲线模板即可估算薄层厚度。模型试算验证了方法的可行性。

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