Abstract
Mineral dissolution and subsurface volume contraction can result from various natural and engineered subsurface processes. This study explores localized granular dissolution in sediments under constant vertical stress and zero lateral boundaries using 2D and 3D discrete element simulations to gather macro-scale and particle-scale information during dissolution. Local arches form when the dissolving inclusion size is similar to the grain size; however, granular chains buckle and grains flow to refill voids when dissolving inclusions are larger than the length scale of force chains (about 6-to-10 grain diameters). Force chains arch around the region that undergoes grain dissolution; interparticle contact forces are low within the contracting zone, yet are sufficient to provide transverse support to the major force chains. Higher granular interlocking leads to the formation of more pronounced force arches, results in higher internal porosity, and limits the vertical contraction. The vertical contraction and the global porosity increase proportionally to the lost solid volume, but remain below the upper bounds computed for dissolution at either constant internal porosity or constant global volume. The sediment porosity evolves towards a terminal porosity that is defined by granular interlocking; the minimum mass loss required to reach the terminal porosity can exceed 10-to-15%. The global stress ratio K0 decreases during the early state of dissolution and in sediments with high interlocking; otherwise, it evolves towards a steady value that can be as high as K0 ≈ 0.7 to 0.8; this stress ratio is compatible with the horizontal reaction required to stabilize the internal force arches.
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Ahmadi, A., Seyedi Hosseininia, E.: An experimental investigation on stable arch formation in cohesionless granular materials using developed trapdoor test. Powder Technol. 330, 137–146 (2018)
Angevine, C.L., Turcotte, D.L.: Porosity reduction by pressure solution—a theoretical-model for quartz arenites. Geol. Soc. Am. Bull. 94, 1129–1134 (1983)
Bagi, K.: An algorithm to generate random dense arrangements for discrete element simulations of granular assemblies. Granular Matter 7, 31–43 (2005)
Bardet, J.P.: Observations on the effects of particle rotations on the failure of idealized granular materials. Mech. Mater. 18, 159–182 (1994)
Berest, P., Brouard, B., Feuga, B., Karimi-Jafari, M.: The 1873 collapse of the Saint-Maximilien panel at the Varangeville salt mine. Int. J. Rock Mech. Min. Sci. 45, 1025–1043 (2008)
Carrio-Schaffhauser, E., Raynaud, S., Latière, H.J., Mazerolle, F.: Propagation and localization of stylolites in limestones. Geol. Soc. 54, 193–199 (1990)
Cha, M., Santamarina, J.C.: Predissolution and postdissolution penetration resistance. J. Geotech. Geoenviron. Eng. 139, 2193–2200 (2013)
Cha, M., Santamarina, J.C.: Dissolution of randomly distributed soluble grains: post dissolution k0-loading and shear. Géotechnique 64, 828–836 (2014)
Cha, M., Santamarina, J.C.: Effect of dissolution on the load-settlement behavior of shallow foundations. Can. Geotech. J. 53, 1353–1357 (2016)
Cha, M., Santamarina, J.C.: Hydro-chemo-mechanical coupling in sediments: localized mineral dissolution. Geomech. Energy Environ. 7, 1–9 (2016)
Criss, E.M., Criss, R.E., Osburn, G.R.: Effects of stress on cave passage shape in karst terranes. Rock Mech. Rock Eng. 41, 499–505 (2008)
Croize, D., Bjorlykke, K., Jahren, J., Renard, F.: Experimental mechanical and chemical compaction of carbonate sand. J. Geophys. Res. Solid Earth 115, B11204 (2010)
da Cruz, F., Emam, S., Prochnow, M., Roux, J.-N., Chevoir, F.: Rheophysics of dense granular materials: discrete simulation of plane shear flows. Phys. Rev. E 72, 021309 (2005)
Davis, T., Healy, D., Bubeck, A., Walker, R.: Stress concentrations around voids in three dimensions: the roots of failure. J. Struct. Geol. 102, 193–207 (2017)
Dreybrodt, W., Romanov, D., Gabrovsek, F.: Karstification below dam sites: a model of increasing leakage from reservoirs. Environ. Geol. 42, 518–524 (2002)
Durelli, A.J., Parks, V.J., Feng, H.C.: Stresses around an elliptical hole in a finite plate subjected to axial loading. J. Appl. Mech. 33, 192–195 (1966)
Eshelby, J.D.: The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 241, 376–396 (1957)
Espinoza, D.N., Kim, S., Santamarina, J.C.: CO2 geological storage—geotechnical implications. KSCE J. Civ. Eng. 15, 707–719 (2011)
Fam, M.A., Cascante, G., Dusseault, M.B.: Large and small strain properties of sands subjected to local void increase. J. Geotech. Geoenviron. Eng. 128, 1018–1025 (2002)
Fletcher, R.C., Pollard, D.D.: Anticrack model for pressure solution surfaces. Geology 9, 419–424 (1981)
Ford, D., Williams, P.W.: Karst Hydrogeology and Geomorphology. Wiley, Chichester (2007)
Fowler, A.C., Yang, X.S.: Pressure solution and viscous compaction in sedimentary basins. J. Geophys. Res. Solid Earth 104, 12989–12997 (1999)
Fredd, C., Miller, M.: Validation of carbonate matrix stimulation models. In: SPE international symposium on formation damage control, 2000. Society of Petroleum Engineers
Freij-Ayoub, R., Tan, C., Clennell, B., Tohidi, B., Yang, J.H.: A wellbore stability model for hydrate bearing sediments. J. Petrol. Sci. Eng. 57, 209–220 (2007)
Fukumoto, Y., Sakaguchi, H., Murakami, A.: The role of rolling friction in granular packing. Granular Matter 15, 175–182 (2013)
Gillieson, D.S.: Caves: Processes, Development, and Management. Blackwell Publishers, Oxford (1996)
Golfier, F., Zarcone, C., Bazin, B., Lenormand, R., Lasseux, D., Quintard, M.: On the ability of a Darcy-scale model to capture wormhole formation during the dissolution of a porous medium. J. Fluid Mech. 457, 213–254 (2002)
Goodman, R.E.: Introduction to Rock Mechanics. Wiley, New York (1989)
Guises, R., Xiang, J., Latham, J.-P., Munjiza, A.: Granular packing: numerical simulation and the characterisation of the effect of particle shape. Granular Matter 11, 281–292 (2009)
Gutiérrez, F., Desir, G., Gutiérrez, M.: Causes of the catastrophic failure of an earth dam built on gypsiferous alluvium and dispersive clays (Altorricón, Huesca Province, NE Spain). Environ. Geol. 43, 842–851 (2003)
Haimson, B.C.: Borehole breakouts in berea sandstone reveal a new fracture mechanism. Pure. appl. Geophys. 160, 813–831 (2003)
Haimson, B.C., Song, I.: Laboratory study of borehole breakouts in Cordova Cream: a case of shear failure mechanism. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 30, 1047–1056 (1993)
Haq, B.U., Hardenbol, J., Vail, P.R.: Chronology of fluctuating sea levels since the triassic. Science 235, 1156–1167 (1987)
Harris, M.K., Thayer, P.A., Amidon, M.B.: Sedimentology and depositional environments of middle Eocene terrigenous-carbonate strata, southeastern Atlantic Coastal Plain, USA. Sed. Geol. 108, 141–161 (1997)
Iwashita, K., Oda, M.: Rolling resistance at contacts in simulation of shear band development by DEM. J. Eng. Mech. ASCE 124, 285–292 (1998)
Jaeger, J.C., Cook, N.G., Zimmerman, R.: Fundamentals of Rock Mechanics. Wiley, New York (2009)
Katsman, R., Aharonov, E., Scher, H.: Localized compaction in rocks: Eshelby’s inclusion and the spring network model. Geophys. Res. Lett. 33, L10311 (2006)
Katsman, R., Aharonov, E., Scher, H.: A numerical study on localized volume reduction in elastic media: some insights on the mechanics of anticracks. J. Geophys. Res. Solid Earth 111, B03204 (2006)
Kim, S., Espinoza, D.N., Jung, J., Cha, M., Santamarina, J.C.: Chapter 17—Carbon geological storage: coupled processes, engineering and monitoring. In: Newell, P., Ilgen, A.G. (eds.) Science of Carbon Storage in Deep Saline Formations. Elsevier, Amsterdam (2019)
Ku, T., Moon, S.-W., Gutierrez, B.J.: Advanced application of seismic cone penetration test at complex ground conditions. Eng. Geol. 210, 140–147 (2016)
Kuhn, M.R., Mitchell, J.K.: New perspectives on soil-creep. J. Geotech. Eng. ASCE 119, 507–524 (1993)
Kvamme, B., Liu, S.: Reactive transport of CO2 in saline aquifers with implicit geomechanical analysis. Energy Proc. 1, 3267–3274 (2009)
Ledesert, B., Hebert, R., Genter, A., Bartier, D., Clauer, N., Grall, C.: Fractures, hydrothermal alterations and permeability in the Soultz Enhanced Geothermal System. C.R. Geosci. 342, 607–615 (2010)
Lee, J.Y., Santamarina, J.C., Ruppel, C.: Volume change associated with formation and dissociation of hydrate in sediment. Geochem. Geophys. Geosyst. 11, 1–13 (2010)
Leeman, E.R.: The CSIR “doorstopper” and triaxial rock stress measuring instruments. Rock Mech. Rock Eng. 3, 25–50 (1971)
Lu, M., McDowell, G.: The importance of modelling ballast particle shape in the discrete element method. Granular Matter 9, 69–80 (2007)
Mayne, P.W., Kulhawy, F.H.: Ko–OCR relationships in soil. J. Geotech. Eng. Div. ASCE 108, 851–872 (1982)
McDowell, G.R., Khan, J.J.: Creep of granular materials. Granular Matter 5, 115–120 (2003)
Midi, G.D.R.: On dense granular flows. Eur. Phys. J. E 14, 341–365 (2004)
Mohamed, A., Gutierrez, M.: Comprehensive study of the effects of rolling resistance on the stress-strain and strain localization behavior of granular materials. Granular Matter 12, 527–541 (2010)
Narsilio, G.A., Santamarina, J.C.: Terminal densities. Geotechnique 58, 669–674 (2008)
Niemeijer, A., Spiers, C.J., Bos, B.: Compaction creep of quartz sand at 400–600 °C: experimental evidence for dissolution-controlled pressure solution. Earth Planet. Sci. Lett. 195, 261–275 (2002)
Nystrom, P.G., Willoughby, R.H., Price, L.K.: Cretaceous and Tertiary Stratigraphy of the Upper Coastal Plain, South Carolina. University of Tennessee Press, Knoxville (1991)
Park, W.C., Schot, E.H.: Stylolites: their nature and origin. J. Sediment. Res. 38, 175–191 (1968)
Payton, C.C., Hansen, M.N.: Gypsum karst in southwestern Utah: failure and reconstruction of Quail Creek Dike. In: Johnson, K.S., Neal, J.T. (eds.) Evaporite Karst and Engineering/Environmental Problems in the United States. University of Oklahoma, Norman (2003)
Pollard, D.D., Fletcher, R.C.: Fundamentals of Structural Geology. Cambridge University Press, Cambridge (2005)
Renard, F., Gundersen, E., Hellmann, R., Collombet, M., le Guen, Y.: Numerical modeling of the effect of carbon dioxide sequestration on the rate of pressure solution creep in limestone: preliminary results. Oil Gas Sci. Technol. 60, 381–399 (2005)
Roded, R., Paredes, X., Holtzman, R.: Reactive transport under stress: permeability evolution in deformable porous media. Earth Planet. Sci. Lett. 493, 198–207 (2018)
Rutter, E.H.: Pressure solution in nature, theory and experiment. J. Geol. Soc. 140, 725–740 (1983)
Shin, H., Hung Truong, Q., Lee, J.-S., Choo, H., Lee, C.: Evolution of pore structure and hydraulic conductivity of randomly distributed soluble particle mixture. Int. J. Numer. Anal. Meth. Geomech. 42, 768–780 (2018)
Shin, H., Santamarina, J.C.: Mineral dissolution and the evolution of k0. J. Geotech. Geoenviron. Eng. 135, 1141–1147 (2009)
Suiker, A.S.J., Fleck, N.A.: Frictional collapse of granular assemblies. J. Appl. Mech. 71, 350–358 (2004)
Sultan, N., Cochonat, P., Canals, M., Cattaneo, A., Dennielou, B., Haflidason, H., Laberg, J.S., Long, D., Mienert, J., Trincardi, F., Urgeles, R., Vorren, T.O., Wilson, C.: Triggering mechanisms of slope instability processes and sediment failures on continental margins: a geotechnical approach. Mar. Geol. 213, 291–321 (2004)
Tada, R., Siever, R.: Pressure solution during diagenesis. Annu. Rev. Earth Planet. Sci. 17, 89–118 (1989)
Taron, J., Elsworth, D.: Thermal–hydrologic–mechanical–chemical processes in the evolution of engineered geothermal reservoirs. Int. J. Rock Mech. Min. Sci. 46, 855–864 (2009)
Toussaint, R., Aharonov, E., Koehn, D., Gratier, J.P., Ebner, M., Baud, P., Rolland, A., Renard, F.: Stylolites: a review. J. Struct. Geol. 114, 163–195 (2018)
Tran, M.K., Shin, H., Byun, Y.-H., Lee, J.-S.: Mineral dissolution effects on mechanical strength. Eng. Geol. 125, 26–34 (2012)
Truong, Q.H., Eom, Y.H., Lee, J.S.: Stiffness characteristics of soluble mixtures. Géotechnique 60, 293–297 (2010)
Valdes, J.R., Santamarina, J.C.: Clogging: bridge formation and vibration-based destabilization. Can. Geotech. J. 45, 177–184 (2008)
Vogt, P.R., Jung, W.Y.: Holocene mass wasting on upper non-Polar continental slopes—due to post-Glacial ocean warming and hydrate dissociation? Geophys. Res. Lett. 29, 1–4 (2002)
Waltham, T.: Foundations of Engineering Geology. Spon Press, New York, NY (2009)
Waltham, T., Park, H.D., Suh, J., Yu, M.H., Kwon, H.H., Bang, K.M.: Collapses of old mines in Korea. Eng. Geol. 118, 29–36 (2011)
Wang, J., Yu, H.S., Langston, P., Fraige, F.: Particle shape effects in discrete element modelling of cohesive angular particles. Granular Matter 13, 1–12 (2011)
Watson, M.N., Boreham, C.J., Tingate, P.R.: Carbon dioxide and carbonate cements in the Otway Basin: implications for geological storage of carbon dioxide. APPEA J. 44, 703–720 (2004)
Yun, T.S., Santamarina, J.C.: Decementation, softening, and collapse: changes in small-strain shear stiffness in k0 loading. J. Geotech. Geoenviron. Eng. 131, 350–358 (2005)
Zheng, Z., Kemeny, J., Cook, N.G.W.: Analysis of borehole breakouts. J. Geophys. Res. Solid Earth 94, 7171–7182 (1989)
Zoback, M.D., Moos, D., Mastin, L., Anderson, R.N.: Well bore breakouts and in situ stress. J. Geophys. Res. Solid Earth 90, 5523–5530 (1985)
Zuriguel, I., Garcimartín, A., Maza, D., Pugnaloni, L.A., Pastor, J.: Jamming during the discharge of granular matter from a silo. Phys. Rev. E 71, 051303 (2005)
Acknowledgements
Support for this research was provided by the Department of Energy Savannah River Operations Office led by Dr. B. Gutierrez. Additional support was provided by the Goizueta Foundation and the KAUST endowment. The authors are grateful to the anonymous reviewers for insightful comments. G. Abelskamp edited the manuscript.
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Cha, M., Santamarina, J.C. Localized dissolution in sediments under stress. Granular Matter 21, 79 (2019). https://doi.org/10.1007/s10035-019-0932-4
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DOI: https://doi.org/10.1007/s10035-019-0932-4