journal article·2026-02-26Open access

Long-Term Subsidence Forecasting for the Slănic Prahova Salt Mine Using Numerical Creep Modeling and Field Monitoring up to 2050

Bogdan Postolachi, Ilie Onica, Mihaela Toderaș, Dacian Paul Marian, Ciprian Danciu

Applied Sciences· Volume 16· Issue 5

Abstract

Land subsidence and structural instability at the Slănic Prahova salt mine have evolved significantly over 190 years of underground extraction, particularly following the mine’s expansion in 1970. This study reconstructs the complete geomechanical history from 1835 to 2025 and forecasts deformation trajectories up to 2050 using a calibrated creep-based numerical model. A high-fidelity geological model was developed in Leapfrog Works, with the numerical mesh generated in Rhinoceros and converted to FLAC3D format via the Griddle plug-in. Salt creep was characterized using a Norton power-law constitutive model, with initial parameters derived from the steady-state phases of laboratory creep tests, and subsequently with calibrated parameters identified at the mine scale as n = 2.03 and A = 3 × 10−25 s−1 MPa−n. The simulation results demonstrate a high degree of correlation with field observations. These parameters were subsequently refined at the mine scale by integrating surface leveling data (1994–2025) and underground displacement records (2004–2019). The simulation results demonstrate a high degree of correlation with field observations, highlighting critical deformation zones. Maximum surface subsidence increased from approximately −560 mm in 1970 to −1020 mm by 1992, reflecting the intensified impact of later mining phases. The current maximum cumulative displacement is estimated at −1640 mm (2025) and is projected to reach −2060 mm by 2050. Underground, the largest displacement rates are concentrated in the eastern sector, driven by the synergistic effects of overburden loading and regional horizontal stress.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Rock Mechanics and Modeling · Landslides and related hazards · Geotechnical and Mining Engineering

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Mining Engineering, Surveying and Civil Engineering Department, Faculty of Mines, University of Petrosani, 332006 Petrosani, Romania

References (61)

Show source-provided references
1. Assessment of rock mass stability in the historic area of levels IV-V of the ‘wieliczka’ salt mine
2. Szczerbowski, Z., and Gawałkiewicz, R. (2023). A Multidisciplinary Investigation of an Abandoned Old Mining Area Which Has Been Affected by the Combined Influences of Salt Karst and Human Exploration Activity. Appl. Sci., 13.10.3390/app132212196 ↗
3. Very Slow Creep Tests on Salt Samples10.1007/s00603-019-01778-9 ↗
4. Long-term modeling of the thermal–hydraulic–mechanical response of a generic salt repository for heat-generating nuclear waste10.1016/j.enggeo.2015.04.014 ↗
5. Modeling the visco-elastoplastic behavior of deep coal based on conformable derivative10.1007/s11043-023-09588-x ↗
6. Hejmanowski, R., and Malinowska, A.A. (2018). Application of Land Subsidence Inversion for Salt Mining-Induced Rock Mass Movement. Advances and Applications in Geospatial Technology and Earth Resources, Springer.10.1007/978-3-319-68240-2_21 ↗
7. Evolution of surface deformation related to salt-extraction-caused sinkholes in Solotvyno (Ukraine) revealed by Sentinel-1 radar interferometry10.5194/nhess-21-977-2021 ↗
8. Cases, causes and classifications of craters above salt caverns10.1016/j.ijrmms.2017.10.025 ↗
9. Monitoring surface deformation of deep salt mining in Vauvert (France), combining InSAR and leveling data for multi-source inversion10.5194/se-12-15-2021 ↗
10. Integrating DInSAR and detailed mapping for characterizing ground displacement in the Cardona salt extrusion related to diapiric uplift, dissolutional lowering, landsliding and sinkholes10.1016/j.enggeo.2025.108068 ↗
11. White, W.B., Culver, D.C., and Pipan, T. (2019). Chapter 110—Sinkholes. Encyclopedia of Caves, Academic Press. [3rd ed.].
12. Environmental Aspects of Potash Mining: A Case Study of the Verkhnekamskoe Potash Deposit10.3390/mining3020011 ↗
13. Dobos, E., Kovács, I.P., Kovács, D.M., Ronczyk, L., Szűcs, P., Perger, L., and Mikita, V. (2022). Surface Deformation Monitoring and Risk Mapping in the Surroundings of the Solotvyno Salt Mine (Ukraine) between 1992 and 2021. Sustainability, 14.10.3390/su14137531 ↗
14. Twelve-year monitoring of the idle Etrez salt cavern10.1016/j.ijrmms.2010.07.004 ↗
15. Long-term stability analysis and evaluation of horizontal salt cavern gas storage10.1016/j.est.2023.107413 ↗
16. Long-term deformation of rock salt under creep–fatigue stress loading paths: Modeling and prediction10.1016/j.ijrmms.2024.105861 ↗
17. Onica, I., Cozma, E., and Marian, D.P. (2014, January 17–26). Prognosis of the Maximum Subsidence and Displacement of the Ground Surface in the Jiu Valley Coal Basin. Proceedings of the 14th International Multidisciplinary Scientific Geo-Conference & EXPO—SGEM 2014, Sofia, Bulgaria.10.5593/SGEM2014/B13/S3.061 ↗
18. Study on very long-term creep tests and nonlinear creep-damage constitutive model of salt rock10.1016/j.ijrmms.2021.104873 ↗
19. Rock salt behavior: From laboratory experiments to pertinent long-term predictions10.1016/j.ijrmms.2020.104588 ↗
20. Creep Properties and Constitutive Model of Salt Rock10.1155/2021/8867673 ↗
21. Impact of rock salt creep law choice on subsidence calculations for hydrocarbon reservoirs overlain by evaporite caprocks10.1002/2016JB012892 ↗
22. Review of the creep constitutive models for rocks and the application of creep analysis in geomechanics10.1007/s00603-024-03939-x ↗
23. Frenelus, W., Peng, H., and Zhang, J. (2022). Creep Behavior of Rocks and Its Application to the Long-Term Stability of Deep Rock Tunnels. Appl. Sci., 12.10.3390/app12178451 ↗
24. Creep constitutive model for salt rock considering loading and unloading path based on state variables10.1007/s40948-025-00944-4 ↗
25. Aubertin, J.D., Höntzsch, S., Diederichs, M.S., and Milton, H. (2018, January 17). Influence of the Creep Law on Pillar Response Based on Numerical Simulations of an Underground Salt Mine. Proceedings of the 52nd ARMA US Rock Mechanics/Geomechanics Symposium, Seattle, WA, USA. Available online: https://www.researchgate.net/publication/327891519.
26. The analysis of dates obtained from long-term creep tests to determine creep coefficients of rock salt10.1007/s10064-018-1243-4 ↗
27. Onica, I., Cozma, E., and Marian, D.P. (2011, January 20–25). Analysis of the Ground Surface Subsidence in the Jiu Valley Coal Basin by using the Finite Element Method. Proceedings of the 11th International Multidisciplinary Scientific Geo-Conference & EXPO—SGEM 2011, Sofia, Bulgaria.10.5593/sgem2011/s03.104 ↗
28. Werra, D.H., and Woźny, M. (2018). Mining for Salt in European Prehistory. Between History and Archaeology: Papers in Honour of Jacek Lech, Archaeopress Publishing Ltd.. [1st ed.].10.2307/j.ctvndv6qh ↗
29. Rheological Characteristics of the Rock Salt from Slanic Prahova, Horizon XIV Below Level of 200m
30. Monitoring and Forecasting of Surface Deformation at Victoria and Cantacuzino Mines
31. Stamatiu, M. (1959). The Problem of Pillar Dimensioning in Salt Mines in Romania, Academy Publishing House. (In Romanian).
32. Kamlot, W.P., Kupper, J., Günther, R.M., Gärtner, G., and Manthee, F. (2022). Development of comprehensive 3D-models for geomechanical stability proof of the operation phase and the planned radioactive waste retrieval in the Asse II mine. The Mechanical Behavior of Salt X, CRC Press. [1st ed.].10.1201/9781003295808-44 ↗
33. Long Term Analysis of Deformations in Salt Mines: Kłodawa Salt Mine Case Study, Central Poland
34. Geomechanical Numerical Analysis as a Guidance for Preservation Works of the ‘Wieliczka’ Salt Mine Site10.1515/sgem-2017-0013 ↗
35. Prehistoric salt mining in Hallstatt, Austria. New chronologies out of small wooden fragments10.1016/j.dendro.2021.125814 ↗
36. Postolachi, B., Marina, O., Marian, D.P., and Onica, I. (2023, January 18). The Influence of the Exploitation of the XIV Horizon on the Stability of the Cantacuzino Mine—Slănic Prahova Saline. Proceedings of the MATEC Web of Conferences, 11th International Symposium on Occupational Health and Safety (SESAM 2023), Bucharest, Romania.10.1051/matecconf/202438900025 ↗
37. New data on the mineralogy of the salt deposit from Slănic Prahova (Romania)
38. Hirian, C., and Georgescu, M. (2012). The Stability of the Old Salines in Romania-Condition of Their Use for Various Fields, Universitas Publishing House.
39. Zhao, X., Li, Z., Dai, G., Wang, H., Yin, Z., and Cao, S. (2022). Numerical Study on the Effect of Large Deep Foundation Excavation on Underlying Complex Intersecting Tunnels. Appl. Sci., 12.10.3390/app12094530 ↗
40. Investigation of rock salt layer creep and its effects on casing collapse10.1016/j.ijmst.2020.02.001 ↗
41. Physical model test and numerical simulation for the stability analysis of deep gas storage cavern group located in bedded rock salt formation10.1016/j.ijrmms.2017.02.015 ↗
42. Inversion of creep parameters and their application in underground salt cavern energy storage systems for enhancing wind power integration10.1016/j.ijepes.2024.110237 ↗
43. A new constitutive model for salt rock under cyclic loadings based on state variables10.1016/j.geoen.2023.212433 ↗
44. A multi-step calibration strategy for reliable parameter determination of salt rock mechanics constitutive models10.1016/j.ijrmms.2024.105922 ↗
45. Stability analysis of underground mining openings with complex geometry10.1515/sgem-2016-0003 ↗
46. A reinvestigation into Munson’s model for room closure in bedded rock salt10.1016/j.ijrmms.2021.105007 ↗
47. Sobolik, S., Ingraham, M., Matteo, E., Mills, M., Ross, T., Conley, D., and Stormont, J. (2025). The Mechanical Behavior of Salt XI. Proceedings of the Eleventh Conference on the Mechanical Behavior of Salt (SaltMech XI), Santa Fe, NM, USA, 8–10 July 2025, Balkema.10.1201/9781003637349 ↗
48. Characteristic features of salt-cavern behavior10.1016/j.ijrmms.2023.105607 ↗
49. Muhammad, N., de Bresser, J.H.P., Peach, C.J., and Spiers, C.J. (2022). A composite flow law for wet polycrystalline halite to capture the transition from dislocation creep to solution-precipitation creep. The Mechanical Behavior of Salt X, CRC Press. [1st ed.].10.1201/9781003295808-14 ↗
50. Challenges associated with numerical back analysis in rock mechanics10.1016/j.jrmge.2022.01.010 ↗
51. An investigation into design concepts, design methods and stability criteria of salt caverns10.2516/ogst/2018066 ↗
52. (2026, January 18). Zone Initialize-Stresses Command—FLAC3D 7.0 Documentation. Available online: https://docs.itascacg.com/flac3d700/flac3d/zone/doc/manual/zone_manual/zone_commands/cmd_zone.initialize-stresses.html.
53. Ahlers, S., Hergert, T., and Henk, A. (2019). Numerical Modelling of Salt-Related Stress Decoupling in Sedimentary Basins–Motivated by Observational Data from the North German Basin. Geosciences, 9.10.3390/geosciences9010019 ↗
54. Cyran, K., and Kowalski, M. (2021). Shape Modelling and Volume Optimisation of Salt Caverns for Energy Storage. Appl. Sci., 11.10.3390/app11010423 ↗
55. Aleksandra, B. (2023). Investigation of Mining Subsidence Prediction Under Tectonic Influences. [Ph.D. Thesis, Technischen Universität Bergakademie Freiberg].
56. Investigation into the Long-Term Stability of Carnallite Pillars Considering Creep Influence
57. A generic model for predicting long-term behavior of storage salt caverns after their abandonment as an aid to risk assessment10.1016/j.ijrmms.2014.10.014 ↗
58. Dilatancy Criteria for Salt Cavern Design: A Comparison Between Stress- and Strain-Based Approaches10.1007/s00603-017-1338-4 ↗
59. Yang, X., Qin, Y., Xu, N., Zhang, B., Feng, S., and Qin, J. (2025). Research on the Mechanical Behavior of Interlayer-Salt Rock Interface in Salt Cavern Gas Storage Under Storage-Release Cycle. Energies, 18.10.3390/en18246497 ↗
60. Geomechanical Model Calibration Using Field Measurements for a Petroleum Reserve10.1007/s00603-017-1370-4 ↗
61. Toderas, M. (2024). Stability Analysis of the Exploitation System with Room and Pillar by Analytical Methods. Appl. Sci., 14.10.3390/app14051827 ↗