Abstract: In this paper, several difference schemes are considered for the calculation of one-dimensional inversion for acoustic waves, and different kinds of model of acoustic impedance are tested. For continuous acoustic impedance, all the schemes considered are suitable, but for discontinuous impedance, we have to choose a suitable scheme to calculate, when the reflection is strong. In addition, when some noise is artificially added to the multilayer model, the function of the smooth processing is examined to control the variation of acoustic impedance.