About the Authors

Fengyuan Wu

Affiliation Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang, P. R. China

Yunyun Fan

yunyunfan@126.com

Affiliation Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang, P. R. China

Li Liang

Affiliation Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang, P. R. China

Chao Wang

Affiliation Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang, P. R. China

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Analyzed the data: LL. Contributed reagents/materials/analysis tools: YF. Wrote the paper: CW. Contributed to the numerical calculation and simulation: FW.