最小熵反褶积的理论问题

THEORY OF MINIMUM ENTROPY DECONVOLVTION

在这篇文章中,我们研究在什么条件下最小熵反褶积能用于地震记录.首先,我们讨论了规范模(Normalied Norm)[参见文中公式(1)和(2)]的性质,然后,我们研究了单道和多道最小熵反褶积.对单道最小熵反褶积,我们证明了:使用充分长的因子,将导致输出一个尖脉冲.因此,在我们对单道地震记录使用最小熵反褶积时,我们指出必须满足文献[3]中所提出的条件.对多道最小熵反褶积,我们证明了:多道反射系数必须是最简反射系数组(参见文中定义3).

The key problem discussed in this paper is, to be short, the condition of the application of MED. Or in other words, in what cases on earth can the MED be applied to the seismic processing?First, we have a discussion about the properties of the Normalized Norm (see formolae (1) and (2) of this paper), and then, make an examination of the single and multiple trace MED. For the single trace MED, we’ve proved that a single spike output would be obtained if a long enough factor was adopted and thus,only the prerequisites presented by C33 are satisfied, can the MED be put into practice and lead to a good result. For the multiple trace MED, we’ve proved that the multiple reflection coefficient must be a simplest reflection coefficient system (see Definition 3 of this paper).