Advertisement

A Coupled Chemo-Mechanical Analysis of the Dissolution-Dominated Sinkholes

Conference paper
  • 240 Downloads
Part of the Sustainable Civil Infrastructures book series (SUCI)

Abstract

Sinkholes pose a major threat to public safety and infrastructure. They can develop via a cluster of inter-related processes, including bedrock dissolution, rock collapse, soil washing and soil collapse. The dominant mechanism behind sinkholes formed in rocks is the dissolution of soluble rocks. Dissolution process may be enhanced by potentially aggressive groundwater acidity and the presence of caves or fissures. This paper presents a coupled chemo-mechanical approach to understanding the interaction of chemical reaction and mechanical deformation processes involved in sinkhole development. Dissolution kinetics and enhanced deformation processes are investigated. Specific solution rate of the constituent mineral and the surface area available for the reaction are related via a chemo-mechanical coupling with the consideration of the damage-enhanced dissolution mechanism. Another important coupling investigated is the potential weakening of rock materials due to dissolution. Kinetic rates of different minerals are surveyed and used to examine the dissolution enhanced deformation. Boundary value problems are formulated around the cavity to simulate the progression of mineral dissolution and plastic deformation.

Keywords

Sinkhole Formation Soil Collapse Specific Solution Rate Rock Collapse Kinetic Dissolution Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Augarde, C.E., Lyamin, A.V., Sloan, S.W.: Prediction of undrained sinkhole collapse. J. Geotechn. Geoenviron. Eng. 129(3), 197–205 (2003).  https://doi.org/10.1061/(ASCE)1090-0241CrossRefGoogle Scholar
  2. Brace, W.F., Paulding, B.W., Scholz, C.: Dilatancy in the fracture of crystalline rocks. J. Geophys. Res. 71, 3939–3953 (1966).  https://doi.org/10.1029/JZ071i016p03939CrossRefGoogle Scholar
  3. Ciantia, M.O., Hueckel, T.: Weathering of submerged stressed calcarenites: chemo-mechanical coupling mechanisms. Geotechnique 63(9), 768–785 (2013).  https://doi.org/10.1680/geot.SIP13.P.024CrossRefGoogle Scholar
  4. De Waele, J., Gutiérrez, F., Parise, M., Plan, L.: Geomorphology and natural hazards in karst areas: a review. Geomorphology. 134, 1–8 (2011).  https://doi.org/10.1016/j.geomorph.2011.08.001CrossRefGoogle Scholar
  5. Dragon, A., Mróz, Z.: A model for plastic creep of rock-like materials accounting for the kinetics of fracture. Int. J. Rock Mech. Min. Sci. 16, 253–259 (1979).  https://doi.org/10.1016/0148-9062(79)91200-2CrossRefGoogle Scholar
  6. Itasca: FLAC2D User’s Guide, 5th edn. Itasca Consulting Group Inc., Minneapolis, USA (2011)Google Scholar
  7. Ford, D., Williams, P.: Karst Hydrogeology and Geomorphology. Wiley, West Sussex, UK (2007)CrossRefGoogle Scholar
  8. Ghabezloo, S., Pouya, A.: Numerical Modelling of the effect of weathering on the progressive failure of underground limestone mines. In: Eurock 2006, Multiphysics Coupling and Long Term Behaviour in Rock Mechanics: Proceedings of the International Symposium of the International Society for Rock Mechanics, Liège, Belgium (2006).  https://doi.org/10.1201/9781439833469.ch32CrossRefGoogle Scholar
  9. Goodings, D.J., Abdulla, W.A.: Stability charts for predicting sinkholes in weakly cemented sand over karst limestone. Eng. Geol. 65(2), 179–184 (2002).  https://doi.org/10.1016/S0013-7952(01)00127-2CrossRefGoogle Scholar
  10. Gutiérrez, F.: Hazards associated with karst. In: Alcántara I, Goudie A (Eds), Geomorphological Hazards and Disaster Prevention. Cambridge University Press, Cambridge, 161–175 (2010).  https://doi.org/10.1017/cbo9780511807527.013
  11. Gutierrez, F., Parise, M., De Waele, J., Jourde, H.: A review on natural and human-induced geohazards and impacts in karst. Earth-Sci. Rev. 138, 61–88 (2014).  https://doi.org/10.1016/j.earscirev.2014.08.002CrossRefGoogle Scholar
  12. Hiller, T., Kaufmann, G., Romanov, D.: Karstification beneath dam sites: from conceptual models to realistic scenarios. J. Hydrol. 398, 202–211 (2011).  https://doi.org/10.1016/j.jhydrol.2010.12.014CrossRefGoogle Scholar
  13. Hu, L.B., Hueckel, T.: Creep of saturated materials as a chemically enhanced rate dependent damage process. Int. J. Numer. Anal. Meth. Geomech. 31(14), 1537–1565 (2007).  https://doi.org/10.1002/nag.600CrossRefGoogle Scholar
  14. Kaufmann, G., Romanov, D., Hiller, T.: Modelling three-dimensional karst aquifer evolution using different matrix-flow components. J. Hydrol. 388, 241–250 (2010).  https://doi.org/10.1016/j.jhydrol.2010.05.001CrossRefGoogle Scholar
  15. Kaufmann, G., Romanov, D.: Structure and evolution of collapse sinkholes: Combined interpretation from physico-chemical modelling and geophysical field work. J. Hydrol. 540, 688–698 (2016).  https://doi.org/10.1016/j.jhydrol.2016.06.050CrossRefGoogle Scholar
  16. Lollino, P., Martimucci, V., Parise, M.: Geological survey and numerical modeling of the potential failure mechanisms of underground caves. Geosystem Engineering 16(1), 100–112 (2013).  https://doi.org/10.1080/12269328.2013.780721CrossRefGoogle Scholar
  17. Parise, M.: Surface and subsurface karst geomorphology in the Murge (Apulia, southern Italy). Acta Carsologica 40(1), 79–93 (2011).  https://doi.org/10.3986/ac.v40i1.30CrossRefGoogle Scholar
  18. Parise, M., Gunn, J.: Natural and anthropogenic hazards in karst areas: recognition, analysis and mitigation. Geolog. Soc. London, Spec. Publ. 279, 1–3 (2007).  https://doi.org/10.1144/SP279.10305-8719/07CrossRefGoogle Scholar
  19. Parise, M., Lollino, P.: A preliminary analysis of failure mechanisms in karst and man-made underground caves in southern Italy. Geomorphology 134(1), 132–143 (2011).  https://doi.org/10.1016/j.geomorph.2011.06.008CrossRefGoogle Scholar
  20. Rawal, K., Wang, Z.M., Hu, L.B.: Exploring the geomechanics of sinkholes: a numerical study of sinkhole subsidence and collapse. In: ASCE Geotechnical Special Publication 257: Proceedings of the 4th Geo-China International Conference, 1–8 (2016).  https://doi.org/10.1061/9780784480007.001
  21. Rawal, K., Hu, L.B., Wang Z.M.: Numerical investigation of geomechanics of sinkholes formation and subsidence. In: ASCE Geotechnical Special Publication 257: Proceedings of Geotechnical Frontiers 2017, 480–487 (2017).  https://doi.org/10.1061/9780784480441.050
  22. Scholz, C.H.: Microfracturing and the inelastic deformation of rock in compression. J. Geophys. Res. 73(4), 1417–1432 (1968).  https://doi.org/10.1029/JB073i004p01417CrossRefGoogle Scholar
  23. Shalev, E., Lyakhovsky, V., Yechieli, Y.: Salt dissolution and sinkhole formation along the Dead Sea shore. J. Geophysical Res. Solid Earth 111, B03102 (2006).  https://doi.org/10.1029/2005JB004038CrossRefGoogle Scholar
  24. Shalev, E., Lyakhovsky, V.: Viscoelastic damage modeling of sinkhole formation, In Journal of Structural Geology, vol. 42. ISSN 163–170, 0191–8141 (2012).  https://doi.org/10.1016/j.jsg.2012.05.010CrossRefGoogle Scholar
  25. Sjoberg, E.L.: A fundamental equation for calcite dissolution kinetics. Geochim. Cosmochim. Acta 40, 441–447 (1976).  https://doi.org/10.1016/0016-7037(76)90009-0CrossRefGoogle Scholar
  26. Sjoberg, E.L., Rickard, D.T.: Temperature dependence of calcite dissolution kinetics between 1 and 62 °C at pH 2.7 to 8.4 in aqueous solutions. Geochim. Cosmochim. Acta 48(3), 483–485 (1984).  https://doi.org/10.1016/0016-7037(84)90276-XCrossRefGoogle Scholar
  27. Tharp, T.M.: Mechanics of upward propagation of cover-collapse sinkholes. Eng. Geol. 52(1), 23–33 (1999).  https://doi.org/10.1016/S0013-7952(98)00051-9CrossRefGoogle Scholar
  28. Waltham, T., Bell, F.G., Culshaw, M.: Sinkholes and Subsidence: Karst and Cavernous Rocks in Engineering and Construction. Springer-Verlag, Berlin (2005)Google Scholar
  29. Wang, Z.M., Yang, G.L., Yang, R.D., Rawal, K., Hu, L.B.: Evaluating the factors influencing limestone-dissolution characteristics in the karst regions of Guizhou. China. J. Testing Evaluat. 45(1), 220–229 (2017).  https://doi.org/10.1520/JTE20160131CrossRefGoogle Scholar
  30. White, W.B.: Geomorphology and Hydrology of Karst Terrains. Oxford University Press, New York (1988)Google Scholar
  31. White, W.B.: Karst hydrology: recent developments and open questions. Eng. Geol. 65(2), 85–105 (2002).  https://doi.org/10.1016/S0013-7952(01)00116-8CrossRefGoogle Scholar
  32. Wilson, W.L., Beck, B.F.: Hydrogeologic Factors Affecting New Sinkhole Development in the Orlando Area, Florida. Ground Water 30, 918–930 (1992).  https://doi.org/10.1111/j.1745-6584.1992.tb01575.xCrossRefGoogle Scholar
  33. Zhou, W., Beck, B.F.: Management and mitigation of sinkholes on karst lands: an overview of practical applications. Environ. Geol. 55(4), 837–851 (2008).  https://doi.org/10.1007/s00254-007-1035-9CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Civil EngineeringUniversity of ToledoToledoUSA

Personalised recommendations