地震勘探的主要问题,是根据观测的反射响应,判断密度和地震速度随深度的分布。这个过程通常称为反射资料的反演。对于在平行平面地层内传播的平面波,可以证明,在任意深度的透射波与反射波的振幅之比,都能满足里卡提(Riccati)方程。根据这个方程,我们提出了一种适合于数字计算的迭代反演方法。我们曾把这种方法应用在合成反射资料上,发现该方法可以实行极快而精确的反演。 The main problem of seismic exploration is to determine the distribution of density and seismic velocity with depth based on observed reflection responses. This process is often referred to as inversion of reflections. For a plane wave propagating in a parallel plane formation, it can be shown that the Riccati equation can be satisfied by the ratio of the amplitude of the transmitted wave to the reflected wave at any depth. Based on this equation, we propose an iterative inversion method suitable for numerical calculations. We have applied this method to the synthetic reflections and found that this method can perform very fast and accurate inversion.