ابع 1. Whittaker, B.N., 1974. “An appraisal of strata control practice”. Mining Engineering, 134. pp. 9-24.## 2. Salamon, M. G. D., 1963. “Elastic analysis of displacements and stresses induced by the mining of seam or reef deposits”. Journal of the Southern African Institute of Mining and Metallurgy, 64(4), pp. 128-149.## 3. Peng, S. S., and Chiang, H. S., 1984. Longwall mining. Wiley, New York.## 4. Jeremic, M., 1985. Strata mechanics in coal mining, CRC Press.## 5. Wilson, A. H., 1986. The problems of strong roof beds and water bearing strata in the control of longwall faces. In Proceedings of symposium on ground movement and control related to coal mining, organized by the Australian Institute of Mining and Metallurgy, Illawara Branch, University of Wollongong, pp. 1-8.## 6. Mark, C., 1990. Pillar design methods for longwall mining. US Department of the Interior, Bureau of Mines.## 7. Heasley, K. A., 1998. “Numerical modeling of coal mines with a laminated displacement-discontinuity code”. PhD thesis, Colorado School of Mines.## 8. Yavuz, H., 2004. “An estimation method for cover pressure re-establishment distance and pressure distribution in the goaf of longwall coal mines”. International Journal of Rock Mechanics and Mining Sciences, 41(2), pp. 193-205.## 9. Gil, H., ed., 2013. The theory of strata mechanics, Elsevier.## 10. Zhu, S., Feng, Y., and Jiang, F., 2016. “Determination of abutment pressure in coal mines with extremely thick alluvium stratum: a typical kind of rockburst mines in China”. Rock Mechanics and Rock Engineering, 49(5), pp. 1943-1952.## 11. Wang, W., Jiang, T., Wang, Z., and Ren, M., 2017. “A analytical model for cover stress reestablishment in the goaf after longwall caving mining”. The journal of the Southern African Institue of mining and Metallurgy, 117, pp. 671-683. ## 12. Singh, G. S. P., and Singh, U. K., 2010. “Numerical modeling study of the effect of some critical parameters on caving behavior of strata and support performance in a longwall working”. Rock Mechanics and Rock Engineering, 43(4), pp. 475-489.## 13. Karekal, S., Das, R., Mosse, L., and Cleary, P.W., 2011. “Application of a mesh-free continuum method for simulation of rock caving processes”. International Journal of Rock Mechanics and Mining Sciences, 48(5), pp. 703-711.## 14. Shabanimashcool M., 2012. “Numerical modelling of the longwall mining and the stress state in Svea Nord Coal Mine”. PhD thesis, Norwegian University of Science and Technology (NTNU).## 15. Gao, M., Jin, W., Dai, Z. and Xie, J., 2013. “Relevance between abutment pressure and fractal dimension of crack network induced by mining”. International Journal of Mining Science and Technology, 23(6), pp.925-930.## 16. Gao, F., Stead, D., and Coggan, J., 2014. “Evaluation of coal longwall caving characteristics using an innovative UDEC Trigon approach”. Computers and Geotechnics, 55, pp. 448-60.## 17. Ju, M. H., Li, X. H., Yao, Q. L., Li, D. W., Chong, Z. H., and Zhou, J., 2015. “Numerical investigation into effect of rear barrier pillar on stress distribution around a longwall face”. Journal of Central South University, 22(11), pp. 4372-4384.## 18. Ji, Y., Wang, X., Zhou, Y. and Zhang, X, 2016. Study on the Distribution Law of Front Abutment Pressure of Long Fully-Mechanized Working Face in Deep Mine. In Coal in the 21st Century: Mining, Processing and Safety, pp 159-162.## 19. Jiang, J. Q., Wu, Q. S., Wu, Q. L., Wang, P., Zhang, C., and Gong, B., 2018. Study on Distribution Characteristics of Mining Stress and Elastic Energy Under Hard and Thick Igneous Rocks. Geotechnical and Geological Engineering, 36(6), pp. 3451-3466.## 20. Singh, G. S. P., and Singh, U. K., 2009. “A numerical modeling approach for assessment of progressive caving of strata and performance of hydraulic powered support in longwall workings”. Computers and Geotechnics, 36(7), pp. 1142-1156.## 21. Itasca Consulting Group, Inc., 2016. “(UDEC) Universal Distinct Element Code (Version 6.0) User's Guide”, Minneapolis, Minnesota.## 22. Barton, N. R., 1974. “A review of the shear strength of filled discontinuities in rock”. Norwegian Geotech. Inst. Publ. No. 105. Oslo: Norwegian Geotech. Inst.## 23. Goodman, R. E., 1980. “Introduction to Rock Mechanics”. John Wiley & Sons, New York.## 24. Johnston, I. W., 1985. “The Strength of Intact Geomechanical Materials”. J. Geotech. Eng. Div., 6(730), pp. 730-749.## 25. Johnson, R. B., and DeGraff, J. V., 1988. “Principles of Engineering Geology”. John Wiley & Sons, New York.## 26. Palmstrom, A., 1995. “RMi-a rock mass characterization system for rock engineering purposes”. Dissertation, Oslo University, Norway. ## 27. Medhurst, T. P., and Brown, E. T., 1998. “A study of the mechanical behaviour of coal for pillar design”. International Journal of Rock Mechanics and Mining Sciences, 35, pp. 1087–1105.## 28. Hoek, E., 2007. “Practical rock engineering”. Online. ed. Rocscience. ## 29. Zhu, T. Y., 2012. “Some useful numbers on the engineering properties of materials (geologic and otherwise)”. GEOL 615, Department of Geophysics.## 30. Gao, F.. 2013. “Simulation of failure mechanisms around underground coal mine openings using discrete element modelling”. Dissertation, Simon Fraser University, British Colombia, Canada.## 31. Le, T. D., 2018. “Longwall top coal caving mechanism and cavability assessment”. Dissertation, The University of New South Wales (UNSW), Sydney, Australia.## 32. Kwasniewski, M., 2008. “Numerical analysis of strata behavior in the vicinity of a longwall panel in a coal seam mined with roof caving”. Continuum and Distinct Element Numerical Modelling in Geo-Engineering, 07-8. ## 33. Shabanimashcool, M., 2012. “Numerical modelling of the longwall mining and the stress state in Svea Nord Coal Mine”. Dissertation, Norwegian University of Science and Technology (NTNU).## 34. عطایی، محمد؛ 1390؛ معدنکاری زیرزمینی: روشهای با نگهداری، روشهای تخریبی، جلد دوم، چاپ سوم، انتشارات دانشگاه صنعتی شاهرود.## 35. Majumder, S., and Chakrabarty, S., 1991. “The vertical stress distribution in a coal side of a roadway—an elastic foundation approach”. Mining Science and Technology, 12(3), pp. 233-240.##