Abstract: The method of constrained sparse spike inversion has been widely used in oil and gas exploration as a matured technology,and the result of constrained sparse spikeinversion also plays a key role in depth domain of Geostatistical Inversion. In this paper, we firstly designed a typical lenslike geological model, and then, make forward processing based on the principle of self-exciting and self-receiving. In the processing of inversion, the authors obtained the optimum range of each parameter by analyzing the impact of different inversion parameters, then inversed the original lenslike geological model by setting reasonable parameters. Finally, the authors proposed some new ideas to improve the effect of P-impedance inversion.