文献[1]、[2]、[3]都介绍了具体实现的数学物理模型。我们认为:文献[1]、[2]所介绍的模型具有数学方法简单、原理直观的特点,便于在计算机上实现,而文献[3]所介绍的模型则具有数学推理严密的特点。但是这些模型都是在子波不变的前提下,于时不变系统中进行讨论的。同时,这些文献中介绍的各种递推模型,都是从地面开始递推的,而实际应用中,测井资料都是从地下某一深度开始的。因此,数学上严格推理的模型,在实际应用时却由于上部缺少资料,而不得不再次简化、近似,并在程序编制上 Literature [1], [2], [3] introduced the concrete realization of mathematical physics model. In our opinion, the models introduced in references [1] and [2] have the characteristics of simple mathematics and intuitionistic principles, which are easy to implement on computers. However, the model introduced in reference [3] has the characteristics of rigorous mathematical reasoning. However, all of these models are discussed in the time invariant system under the premise of constant wavelet. In the meantime, the various recursive models introduced in these documents are recursively started from the ground. In practice, logging data are all from a certain depth below ground. Therefore, mathematically rigorous reasoning model, but in practical applications but due to the lack of information on the upper hand, and then have to be simplified again, approximate, and in programming