Mathematical principle and engineering application of end-mining technology with non-pillar

To ameliorate the difficulties of on-site dynamic disaster control in the end-mining stage of traditional mining engineering, this paper introduces the mathematical research and engineering application of the end-mining technology system with non-pillar in mines (ETSNM) in recent years. The petal warning criterion for the stability of the surrounding rock of the roadway at the end-mining stage was obtained by studying the inverse problem of the petal theorem. A conformal mathematical model of the end-mining stage was established using the conformal mapping method, and the limit theorem of the peak point of mine pressure (LTPPMP) in the end-mining stage was demonstrated. Based on the cross-fusion of the above basic mathematical theory and the LTPPMP, a new ETSNM model was proposed, which includes no coal pillar, no dedicated retracement roadways, and fast retracement equipment (NNF). The mathematical principles of engineering technology for height control, speed limit, and roof cutting in the end-mining stage with non-pillar were revealed. The scientific and application values of the ETSNM were confirmed through engineering applications. Based on this, a new non-pillar control technology for dynamic disasters in the end-mining stage was proposed. The above research will play an active role in promoting the engineering application of ETSNM driven by mathematical theory.