Abstract: In order to use technical means to prevent and control the violating behavior of operating personnel, research and analysis of gas explosion accidents caused by violating and hot-line operation have been carried out. After making investigation from electricians working in coal mine pits, the process of violating and hot-line operation is decomposed into selecting process of observance/violation, violation initial state, violation transition process and state of touching “red line”, violating dangerous operation process and violation stop state. In the violation transition process, the violator, with the tool (or unarmed) to carry out particle movement, has not crossed the red line and is safe, and its motion state obeys Newton’s second law so that it can be represented by a differential equation which is the equation of violation state. The state equation of violation can serve as one of quantitative analysis models for analyzing rules-violating behaviors by big data.