Assessment of coal pillar stability using principal component analysis and stepwise selection and elimination


Affiliations

  • Indian Institute of Technology (BHU), Department of Mining Engineering, Varanasi, India

Abstract

Prediction of pillar stability is one of the most critical tasks in underground mining industries. This pillar stability analysis requires many input parameters and some of them are difficult to be determined. Various statistical based analysis is presented in literature for assessing pillar stability successfully. In the present work, the data from three mines had been to determine the factor of safety. A total of 63 pillar cases had been collected from the mines. Principal component analysis (PCA) and Stepwise selection and elimination (SSE) models were developed by using multi variate linear regression (MLR) on 45 data sets and subsequently the proposed models were validated on 18 different data sets. The value of coefficient of determination (R2) is 0.86 and 0.84 for PCA and SSE respectively. The root mean square error for PCA and SSE are found to be 0.112 and 0.123 respectively. On validation of the proposed model developed by PCA and SSE, the PCA model provided a better validation results. Hence, PCA is recommended for modelling pillar stability.

Keywords

Pillar stability, factor of safety, PCA, SSE

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References

Najafi M, Jalali SE, Bafghi AY, Sereshki F. (2011): Prediction of the confidence interval for stability analysis of chain pillars in coal mines. Safety science, Jun 1; 49(5):651-7.

Salamon MD (1970): Stability, instability and design of pillar workings. In International journal of rock mechanics and mining sciences & geomechanics abstracts, Nov 1, Vol.7, No.6, pp. 613-631). Pergamon.

Tesarik DR, Seymour JB, Yanske TR. (2009): Long-term stability of a backfilled room-and-pillar test section at the Buick Mine, Missouri, USA. International Journal of Rock Mechanics and Mining Sciences. Oct 1;46(7):1182-96.

Brady BH, Brown ET. (1993): Rock mechanics: for underground mining. Springer science & business media.

Lunder PJ. Hard rock pillar strength estimation an applied empirical approach (Doctoral dissertation, University of British Columbia).

Deng J, Yue ZQ, Tham LG, Zhu HH. (2003): Pillar design by combining finite element methods, neural networks and reliability: a case study of the Feng Huangshan copper mine, China. International Journal of Rock Mechanics and Mining Sciences. Jun 1;40(4):585-99.

Mortazavi A, Hassani FP, Shabani M. (2009): A numerical investigation of rock pillar failure mechanism in underground openings. Computers and Geotechnics. Jun 1; 36(5):691-7.

York G. (1998): Numerical modelling of the yielding of a stabilizing pillar/foundation system and a new design consideration for stabilizing pillar foundations. Journal of the Southern African Institute of Mining and Metallurgy. Oct 1; 98(6):281-97.

Hustrulid WA. (1976): A review of coal pillar strength formulas. Rock Mechanics. Jul 1; 8(2):115-45.

Jawed M, Sinha RK, Sengupta S. (2013): Chronological development in coal pillar design for bord and pillar workings: a critical appraisal. Journal of Geology and Mining Research. Jan 31; 5(1):1-1.

Martin CD, Maybee WG. (2000): The strength of hardrock pillars. International Journal of Rock Mechanics and Mining Sciences. Dec 1;37(8):1239-46.

Zhou J, Li XB, Shi XZ, Wei W, Wu BB. (2011): Predicting pillar stability for underground mine using Fisher discriminant analysis and SVM methods. Transactions of the Nonferrous Metals Society of China. Dec 1; 21(12):2734-43.

Ghasemi E, Kalhori H, Bagherpour R. (2017): Stability assessment of hard rock pillars using two intelligent classification techniques: A comparative study. Tunnelling and Underground Space Technology. Sep 1; 68:32-7.

Wattimena RK. (2014): Predicting the stability of hard rock pillars using multinomial logistic regression. International journal of rock mechanics and mining sciences (1997); 71:33-40.

Shnorhokian S, Mitri HS, Moreau-Verlaan L. (2015): Stability assessment of stope sequence scenarios in a diminishing ore pillar. International Journal of Rock Mechanics and Mining Sciences. Feb.1; 74:103-18.

Cauvin M, Verdel T, Salmon R. (2009): Modeling uncertainties in mining pillar stability analysis. Risk Analysis: An International Journal. Oct; 29(10):1371- 80.

Griffiths DV, Fenton GA. (2004): Probabilistic slope stability analysis by finite elements. Journal of geotechnical and geo environmental engineering. May; 130(5):507-18.

Zhou J, Li X, Mitri HS. (2015): Comparative performance of six supervised learning methods for the development of models of hard rock pillar stability prediction. Natural Hazards. Oct, 1;79(1):291-316.

Kumar Brijesh, Sharma SK, Singh GSP. (2019): Enhanceddd prediction of hard rock pillars stability using fuzzy rough feature selectionfollowed by random forest. Journal of Mines, Metals & Fuels. Nov, Vol.67, No.11.

Qi C, Fourie A, Ma G, Tang X, Du X. (2018): Comparative study of hybrid artificial intelligence approaches for predicting hangingwall stability. Journal of Computing in Civil Engineering. Mar 1; 32(2): 04017086.

Qi C, Tang X. (2018): Slope stability prediction using integrated metaheuristic and machine learning approaches: a comparative study. Computers & Industrial Engineering. Apr 1; 118:112-22.

Esterhuizen GS, Dolinar DR, Ellenberger JL. (2011): Pillar strength in underground stone mines in the United States. International Journal of Rock Mechanics and Mining Sciences. Jan 1;48(1):42-50.

Song WD, Cao S, Fu JX, Jiang GJ, Wu F. (2014): Sensitivity analysis of impact factors of pillar stability and its application. Rock and Soil Mechanics. 35(1): 271-7.

Martin CD, Maybee WG. (2000): The strength of hardrock pillars. International Journal of Rock Mechanics and Mining Sciences. Dec 1;37(8):1239-46.

Bieniawski ZT. (1968): The effect of specimen size on compressive strength of coal. In International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Jul 1 (Vol.5, No.4, pp.325- 335). Pergamon.

Van der Merwe JN. (2003): A laboratory investigation into the effect of specimen size on the strength of coal samples from different areas. Journal of the Southern African Institute of Mining and Metallurgy. Jun 1; 103(5):273-9.

Trueman R, Mawdesley C. (2003): Predicting cave initiation and propagation. CIM bulletin. 96(1071): 54- 9.

Madden BJ. (1991): A re-assessment of coal-pillar design. Journal of the Southern African Institute of Mining and Metallurgy. Jan 1;91(1):27-37.

Pearson K. LIII. (1901): On lines and planes of closest fit to systems of points in space. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. Nov 1; 2(11):559-72.

Hotelling H. (1933); Analysis of a complex of statistical variables into principal components. Journal of educational psychology. Sep; 24(6):417.


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