## 1 Introduction  
With the social and economic development in China and the improvement in people's living standards, shallow coal seams in the central-eastern region are consumed in large quantities. As the depth of mining continues to deepen, the pressure on coal mining companies to produce safely is gradually increasing. Greater human, material and financial resources are required to prevent accidents from occurring. Among the various accidents, mine fire accidents caused by spontaneous coal combustion are more serious [1, 2, 3]. Fifty-six percent of China's coal mines have had spontaneous coal combustion fires, resulting in serious economic losses and widespread environmental pollution [4, 5]. There have been various causes of mine fires, including spontaneous coal fires, electrical accidents, etc. Spontaneous coal combustion causes over 90% of all mine fires [6, 7, 8]. Fires caused by spontaneous combustion of coal can release large amounts of toxic and harmful gases (CO, CO2, SO2, etc.). Toxic and harmful gases threaten people's lives and health, pollute the environment and can trigger gas and coal dust explosions [9, 10, 11, 12, 13]. So far, the coal resources that cannot be used due to the spontaneous combustion of coal amount to 200 million tons [14, 15]. Every year, 10-13.6 million tons of standard coal is wasted due to coal spontaneous combustion, and the estimated economic loss is CNY 20 billion [16, 17]. Based on the above analysis, China is facing a very serious mine fire situation and needs to pay great attention to the prevention and management of coal spontaneous combustion disasters. However, in the past, a significant number of studies on coal spontaneous combustion prevention and control have focused on how to improve the effectiveness of the inhibitor, with little research on the failure of the inhibitor. Additionally,almost no scholars have studied the time-domain failure of inhibitors in the goal. In general, the main reason for the failure of the blocking agent is divided into two aspects: one is the physical role of the blocking agent which exists in the evaporation of water; inert gas easily flows and escapes, making the coal and oxygen contact area increased and accelerating oxidation; the second is that the chemical role of the blocking agent is not stable, as an anti-oxidation-type blocking agent exposed to air for a long time and resulting in failure. It is well known that the oxidation process of coal continues even at room temperature. When the heat produced by the oxidation of the coal body is greater than the heat dissipated, the coal temperature begins to rise [18,19]. When the temperature rises to the critical temperature of coal spontaneous combustion, the coal oxidation process will be accelerated [6,20,21]. However, it is a very long process for the temperature of the relic coal in the goat to reach the critical temperature from room temperature [22]. In this process, it is generally believed that the air leakage from the goat and the heat released from the coal oxidation will cause the water in the coal to evaporate. Therefore, the coal body sprayed with the resist solution will reduce its own moisture due to water evaporation. Additionally, a significant number of scholarly studies have shown that the evaporation of water from the coal body accelerates the process of coal oxidation [23,24,25,26,27]. A conventional inhibitor includes a physical inhibitor and a chemical inhibitor, such as salt aqueous solution, antioxidant class, etc. Among them, the physical inhibitor, mainly through its own highly absorbent qualities in the coal body surface, forms a liquid film to block the contact between the coal and oxygen [28]. However, due to the evaporation of water, the physical inhibitor inhibitory effect will weaken over time or even fail, reflecting the shortcomings of the life cycle [29]. Chemical inhibitors are mainly antioxidant-based inhibitors, such as anthocyanins, vitamin C and catechins. A small amount can be added to have a very good inhibitory effect.