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巴布(Bube)和巴雷友(Burridge)研究了时间域内的直接反演方法以便在—维空间解声波方程获得波阻抗剖面。由于适当倾斜迭加后的每个慢度是一个重新标度的平面波分量,所以这种反演技术可以独立地应用到各个地震道。我们提出了一种完备的计算方法,它把τ—p 域内的一组(超定)解结合起来,不仅反演出波阻抗剖面,还分别地反演出密度和波速。这种方法已经成功地用于合成记录,而密度、波速和阻抗都不是深度的单调函数。把模型记录与几种震源子波褶积,或加上幅度与信号的均方根振幅相当的随机噪声之后,我们得到了满意的结果。我们认为,这种方法及其结果适合于声波方程模型,但是可能不适合于物理模型,物理模型由界面转换产生很强的横波。
Bube and Burridge studied the direct inversion method in the time domain to obtain a wave impedance profile for the sonic equation in a - dimensional space. Since each slowness after proper tilt superposition is a rescaling plane wave component, this inversion technique can be applied independently to each seismic trace. We present a complete computational approach that combines a set of (overdetermined) solutions in the τ-p domain to invert not only the wave impedance profiles but also the densities and wave velocities separately. This method has been successfully used to synthesize records, but neither density nor wave velocity nor impedance is a monotonic function of depth. After recording the model with several sources of wavelet convolution, or adding random noise of amplitude equal to the rms amplitude of the signal, we obtained satisfactory results. In our opinion, this method and its result are suitable for the acoustic equation model, but may not be suitable for the physical model. The physical model is transformed from the interface into a strong shear wave.