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为压制或通过速度固定的相干能量,研究出一种新技术。与广泛应用的频率—波数(ω-k)域滤波法相比,这种技术既不出现空间假频也没有吉布斯效应。此滤波算子解析地设计成一个ω-k域的无限连续函数。当用反傅里叶积分变换转换到时—空(t-x)域时,它便变成一个离散短函数,且与ω-k域的无限连续函数具有相同性质。由于不需对滤波算子采样或截尾,困而没有吉布斯振荡被引入到算子的脉冲响应或滤波后的资料中。因为设计的相干能量滤波器有极高的速度分辨率和动态范围,它对于VSP资料中上、下行能量的分离及微屈多次反射的衰减极其有用。
To suppress or pass the speed of the fixed coherent energy, developed a new technology. Compared with the widely used frequency-wavenumber (ω-k) domain filtering method, this technique has neither spatial aliasing nor Gibbs effect. The filter operator is analytically designed as an infinite continuous function of ω-k domain. When converted to the time-space (t-x) domain by the inverse Fourier integral transform, it becomes a discrete short function and has the same properties as an infinite continuous function in the ω-k domain. Since there is no need to sample or cut the filter operator, no Gibbs oscillations are introduced into the impulse response or filtered data of the operator. Because the designed coherent energy filter has extremely high speed resolution and dynamic range, it is very useful for the separation of the upper and the lower energy in the VSP data and the attenuation of the micro-bend multiple reflections.