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本文将稀疏反演一次波估计(EPSI)方法进行了改进,使得EPSI转换成双凸LI范数约束的最优化问题,采用交替优化方式进行一次波反射系数和震源子波的交替估计,直接对一次波反射系数进行估计,可同时获得震源子波与一次波反射系数。在反演一次波反射系数时,将三维曲波变换引入进来作为稀疏约束,从而避免的SRME中的预测减去的过程。该方法不仅减少对有效信息的损伤,而且提高了多次波去除效果。该方法同样是基于波动方程的自由表面多次波压制技术,在复杂海底情况下具有良好的去除的效果。理论与实际数据试算取得良好效果。
In this paper, we improve the EPSI method, and convert the EPSI to the optimization problem of biconvex LI norm constraints. The alternating optimization method is used to estimate the primary wave reflection coefficient and the source wavelet alternately. The primary wave reflection coefficient is estimated, and both the source wavelet and the primary wave reflection coefficient can be obtained simultaneously. When the primary reflection coefficient is inverted, the three-dimensional buckling transform is introduced as a sparse constraint, thus avoiding the process of subtracting the prediction in SRME. The method not only reduces the damage to the effective information, but also improves the multiples removal effect. The method is also based on the wave equation of the free surface multiple-suppression technology, in the case of complex submarine has a good removal effect. Trial and actual data obtained good results.