本文详细阐述了尖点突变理论，在此基础上建立了尖点突变模型和累加尖点突变模型，提取其实跳势、突跳间隔、突跳时间等参数；然后将突变理论应用于油气检测，并探讨其各参数的地质意义，发现突跳势、突跳时间曲线与油气分布呈一定程度的正相关关系。由此可见，利用突变参数进行油气检测是可行的。 In this paper, the cusp catastrophe theory is elaborated. On the basis of this, a cusp catastrophe model and a cumulative cusp catastrophe model are established to extract the parameters such as jump, kicking interval and kicking time. The catastrophe theory is then applied to oil and gas detection, The geological significance of each parameter is also discussed. It is found that there is a certain positive correlation between the sudden jump and the sudden jump time curve and the distribution of oil and gas. Thus, the use of mutation parameters for oil and gas detection is feasible.