Saint-Petersburg Mining University, Saint-Petersburg, Russia:

Yu. I. Kutepov, Head of Laboratory, Professor, Doctor of Engineering Sciences, koutepovy@mail.ru
N. A. Kutepova, Chief Researcher, Doctor of Engineering Sciences
M. A. Karasev, Associate Professor, Candidate of Engineering Sciences
Yu. Yu. Kutepov, Post-Graduate Student

The article addresses the issues of prediction of shape and size of hydraulic-mine dumps when overlaid with dump embankment. A hydraulic spoil bank is composed of weak clayey water-saturated soil; therefore, when embankments are made on such banks, soil slipping begins and induces extrusion of bottom ground and, finally, results in the change in size and shape of the initial hydraulic-mine dump. At the present time, there are no methods to predict such processes, probably, due to the difficulty to register large plastic deformation in hydraulic spoil banks when interacting with an embankment. This article suggests predicting deformation of hydraulic-mine dumps under loading by the finite element modeling using euler equations. Conventional numerical modeling of geomechanical processes uses finite element method with lagrange equations, where material is rigidly connected with the mesh points, and displacements of the points cause deformation of the elements. However, under large deformation, the element mesh is considerably distorted, which initiates accumulation of unallowable errors. For this reason, the set problem was solved using an alternative technique — euler procedure where the finite element mesh points were immobile and material migrated through the elements. The numerical modeling used Abaqus/Explicit package where that approach was included as the master functional. The proposed procedure has been tested in solving of two engineering problems. The first problem is on modeling the change in the size and shape of hydraulic-mine dump Elanny Naryk overlaid with a filled dump layer 20 m high in Kuzbass. The second problem considers filling of a separating dam on a hydraulic-mine dump at the Elovka River to be partly removed later on in the course of extraction of abandoned coal reserves. The applied procedure makes it possible to determine the pattern of change in the size and shape of the loaded hydraulic-mine dump, which is required for subsequent geomechanical modeling of the next process stages: filling of dump layers, making of a separating dam higher, generating of new dams nearby the first dam, etc.

1. Galperin A. M., Kirichenko Yu. V., Kiyanets A. V., Kutepov Yu. I. Mastering of technogenic massifs on mining enterprises. Moscow : Gornaya kniga, 2012. 336 p.
2. Kutepov Yu. I., Kutepova N. A. Basic regularities of deformation of «dry» dumps with their placing on hydrodumps. Improvement of calculation methods for movements and deformations of rocks, buildings, cut rims during the coal layers mining in complex mining-geological conditions: collection of scientific proceedings. Leningrad : All-Russian Scientific-Research Institute of Rock Mechanics and Mine Surveying, 1985. Issue 1. pp. 57–62.
3. Kutepov Yu. I., Kutepova N. A., Ermoshkin V. V. Provision of hydrodumps safety during their excavation and placing the «dry» rock dumps. Gornyy informatsionno-analiticheskiy byulleten. 2006. Special issue «Hydromechanisation». pp. 296–304.
4. Recommendations for the engineering and geological substantiation of parameters of dry rock dumps, discharged on hydrodumps. Leningrad : All-Russian Scientific-Research Institute of Rock Mechanics and Mine Surveying, 1985. 82 p. (in Russian)
5. Kutepov Yu. I., Kutepova N. A., Karasev M. A., Fomenko N. G. Geomechanical substantiation of “dry” waste rock accumulation within hydraulic sludge dumps. Geoekologiya, inzhenernaya geologiya, gidrogeologiya, geokriologiya. 2015. No. 3. pp. 220–225.
6. Brovko G. L. Suggestion approaches and solving methods for the boundary value problems of deformed solid body mechanics. Izvestiya MGTU MAMI. 2013. Vol. 1, No. 3. pp. 46–65.
7. Voskanyants A. A., Ivanov A. V. Computer Simulation of Helical Rolling Process in Terms of Eulerian Description of Continuum Movement. Nauka i obrazovanie: nauchnoe izdanie MGTU imeni N. E. Baumana. 2009. No. 1. 6 p.
8. Ivanov A. V., Voskanyants A. A. Computer Simulation of Metal Forming Technological Processes in Terms of Eulerian Description of Continuum Motion. Nauka i obrazovanie: nauchnoe izdanie MGGU imeni N. E. Baumana. 2010. No. 2. 24 p.
9. Anferov S. D. Mathematical models of deformation of saturated porous medium during the mechanical pressing. XI All-Russian Meeting on the fundamental problems of theoretical and applied economics: collection of proceedings. Kazan, 2015. pp. 191–193.
10. Dutta S., Hawlader B., Phillips R. Finite element modeling of partially embedded pipelines in clay seabed using Coupled Eulerian–Lagrangian method. Canadian Geotechnical Journal. 2014. Vol. 52, No 1. pp. 58–72.
11. Dutta S., Hawlader B., Phillips R. Numerical Investigation of Dynamic Embedment of Offshore Pipelines. Proceedings of the 18^th International Conference on Soil Mechanics and Geotechnical Engineering. Paris, 2013. pp. 2347–2350.
12. Dey R., Hawlader B., Phillips R., Soga K. Progressive failure of slopes with sensitive clay layers. Proceedings of the 18^th International Conference on Soil Mechanics and Geotechnical Engineering. Paris, 2013. pp. 2177–2180.
13. Khoa H.D.V. Numerical Simulation of Spudcan Penetration Using Coupled Eulerian-Lagrangian method. Computer Methods and Recent Advances in Geomechanics: 14^th Conference. Japan, 2014. pp. 199-204.
14. Qiu G., Grabe J. Explicit modeling of cone and strip footing penetration under drained and undrained conditions using a visco-hypoplastic model. Geotechnik. 2012. Vol. 34, No 3. pp. 205–217.
15. Qiu G., Henke S., Grabe J. Application of coupled eulerian-lagrangian method to geotechnical problems with large deformation. Computers and geotechnics. 2011. Vol. 38, No. 1. pp. 30-39.
16. Pichler T., Pucker T., Hamann T., Henke S., Qiu G. High-Performance Abaqus Simulations in Soil Mechanics Reloaded – Chance and Frontiers. SIMULIA Community Conference. USA, 2012. 30 p.
17. Van den Abeele F., Spinewine B., Ballard J.-C., Denis R. Advanced Finite Element Analysis to Tackle Challenging Problems in Pipeline Geotechnics. SIMULIA Community Conference. Austria, 2013. 16 p.