Assessing Persistence of Entrapped Gas for Induced Partial Saturation
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 147, Issue 3
Abstract
Induced partial saturation (IPS) is a novel method to suppress the generation of excess pore-water pressure and increase the liquefaction resistance of loose granular soils. Mechanical benefits associated with IPS are linked to the persistence of entrapped bubbles. Civil infrastructure operates for decades, often longer than a century, and thus the longevity of gas is a salient consideration for adoption of IPS in practice. Modeling the physical and chemical mechanisms that influence the persistence of entrapped bubbles is a practical avenue to address gas durability on these time scales, a limitation of physical experiments. The governing aqueous-phase advection-diffusion processes and interphase gas kinetics associated with bubble dissolution are simulated in a finite-difference numerical framework, validated with elemental and bench-scale experiments, and then extended to address soil resaturation rates under different subsurface conditions. The study demonstrates that emplaced gas is durable to the extent where diffusion-induced and groundwater seepage-induced dissolution should not discourage advancement of IPS, but will not remain indefinitely. Potential solutions to mitigate the decay of a gassy soil layer are discussed.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors would like to thank the University of Maine for their financial support of the junior author. Additionally, they would like to acknowledge the useful comments and suggestions provided by Shaleen Jain and Bill Davids from the Department of Civil and Environmental Engineering at University of Maine, as well as the useful comments and suggestions provided by the anonymous reviewers.
References
Adam, K. M., G. L. Bloomsburg, and A. T. Corey. 1969. “Diffusion of trapped gas from porous media.” Water Resour. Res. 5 (4): 840–849. https://doi.org/10.1029/WR005i004p00840.
Bloomsburg, G. L., and A. T. Corey. 1964. Diffusion of entrapped air from porous media. Fort Collins, CO: Colorado State Univ.
Carman, P. C. 1937. “Fluid flow through granular beds.” Chem. Eng. Res. Des. 75 (5): 32–48. https://doi.org/10.1016/S0263-8762(97)80003-2.
Cedergren, H. R. 1967. Seepage, drainage and flow nets. New York: Wiley.
Champ, D. R., J. Gulens, and R. E. Jackson. 1979. “Oxidation–reduction sequences in ground water flow systems.” Can. J. Earth Sci. 16 (1): 12–23. https://doi.org/10.1139/e79-002.
Christiansen, J. 1944. “Effect of entrapped air upon the permeability of soils.” Soil Sci. 58 (5): 355–366. https://doi.org/10.1097/00010694-194411000-00002.
Cirpka, O. A., and P. K. Kitanidis. 2001. “Transport of volatile compounds in porous media in the presence of a trapped gas phase.” J. Contam. Hydrol. 49 (3–4): 263–285. https://doi.org/10.1016/S0169-7722(00)00196-0.
Crank, J., and P. Nicolson. 1947. “A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type.” In Proc., Cambridge Philosophical Society, 50–67. Cambridge, UK: Cambridge University Press.
Cussler, E. L. 2009. Diffusion: Mass transfer in fluid systems. Cambridge, UK: Cambridge University Press.
Devlin, J., and C. McElwee. 2007. “Effects of measurement error on horizontal hydraulic gradient estimates.” Ground Water 45 (1): 62–73. https://doi.org/10.1111/j.1745-6584.2006.00249.x.
Donaldson, E. C., R. F. Kendall, and F. S. Manning. 1976. “Dispersion and tortuosity in sandstones.” In Proc., Annual Fall Technical Conf. and Exhibition. Oklahoma City, OK: Society of Petroleum Engineers.
Dowding, C. H., and R. D. Hryciw. 1986. “A laboratory study of blast densification of saturated sand.” J. Geotech. Eng. 112 (2): 187–199. https://doi.org/10.1061/(ASCE)0733-9410(1986)112:2(187).
Epstein, P. S., and M. S. Plesset. 1950. “On the stability of gas bubbles in liquid-gas solutions.” J. Chem. Phys. 18 (11): 1505–1509. https://doi.org/10.1063/1.1747520.
Eseller-Bayat, E., M. K. Yegian, A. Alshawabkeh, and S. Gokyer. 2013a. “Liquefaction response of partially saturated sands. I: Experimental results.” J. Geotech. Geoenviron. Eng. 139 (6): 863–871. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000815.
Eseller-Bayat, E., M. K. Yegian, A. Alshawabkeh, and S. Gokyer. 2013b. “Liquefaction response of partially saturated sands. II: Empirical model.” J. Geotech. Geoenviron. Eng. 139 (6): 872–879. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000816.
Faybishenko, B. A. 1995. “Hydraulic behavior of quasi-saturated soils in the presence of entrapped air: Laboratory experiments.” Water Resour. Res. 31 (10): 2421–2435. https://doi.org/10.1029/95WR01654.
Finno, R. J., A. P. Gallant, and P. J. Sabatini. 2016. “Evaluating ground improvement after blast densification: Performance at the Oakridge landfill.” J. Geotech. Geoenviron. Eng. 142 (1): 04015054. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001365.
Fry, V., J. Selker, and S. Gorelick. 1997. “Experimental investigations for trapping oxygen gas in saturated porous media for in situ bioremediation.” Water Resour. Res. 33 (12): 2687–2696. https://doi.org/10.1029/97WR02428.
Fry, V. A., J. D. Istok, L. Semprini, K. T. O’Reilly, and T. E. Buscheck. 1995. “Retardation of dissolved oxygen due to a trapped gas phase in porous media.” Ground Water 33 (3): 391–398. https://doi.org/10.1111/j.1745-6584.1995.tb00295.x.
Gallant, A. P., and R. J. Finno. 2016. “Stress redistribution after blast densification.” J. Geotech. Geoenviron. Eng. 142 (11): 04016064. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001497.
Gallant, A. P., and R. J. Finno. 2017. “Measurement of gas released during blast densification.” Geotech. Test. J. 40 (6): 20160295. https://doi.org/10.1520/GTJ20160295.
Geistlinger, H., A. Beckmann, and D. Lazik. 2005. “Mass transfer between a multicomponent trapped gas phase and a mobile water phase: Experiment and theory.” Water Resour. Res. 41 (11): 1–15. https://doi.org/10.1029/2004WR003885.
Grozic, J., P. Robertson, and N. Morgenstern. 1999. “The behavior of loose gassy sand.” Can. Geotech. J. 36 (3): 482–492. https://doi.org/10.1139/t99-007.
Grozic, J. L., P. Robertson, and N. Morgenstern. 2000. “Cyclic liquefaction of loose gassy sand.” Can. Geotech. J. 37 (4): 843–856. https://doi.org/10.1139/t00-008.
He, J., J. Chu, and V. Ivanov. 2013. “Mitigation of liquefaction of saturated sand using biogas.” Géotechnique 63 (4): 267–275. https://doi.org/10.1680/geot.SIP13.P.004.
He, J., J. Chu, S. F. Wu, and J. Peng. 2016. “Mitigation of soil liquefaction using microbially induced desaturation.” J. Zhejiang Univ. 17 (7): 577–588. https://doi.org/10.1631/jzus.A1600241.
Heaton, T., and J. Vogel. 1980. “Rate of oxygen removal in some South African groundwaters/taux d’enlèvement d’oxygène dans de certaines eaux souterraines en afrique du sud.” Hydrol. Sci. J. 25 (4): 373–377. https://doi.org/10.1080/02626668009491947.
Heaton, T., and J. Vogel. 1981. “Excess air in groundwater.” J. Hydrol. 50 (1): 201–216. https://doi.org/10.1016/0022-1694(81)90070-6.
Holocher, J., F. Peeters, W. Aeschbach-Hertig, W. Kinzelbach, and R. Kipfer. 2003. “Kinetic model of gas bubble dissolution in groundwater and its implications for the dissolved gas composition.” Environ. Sci. Technol. 37 (7): 1337–1343. https://doi.org/10.1021/es025712z.
Kato, K., and K. Nagao. 2020. “Numerical evaluation of liquefaction resistance for desaturated sands.” J. Geotech. Geoenviron. Eng. 146 (6): 04020037. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002234.
Klump, S., O. A. Cirpka, H. Surbeck, and R. Kipfer. 2008. “Experimental and numerical studies on excess-air formation in quasi-saturated porous media.” Water Resour. Res. 44 (5): 1–15. https://doi.org/10.1029/2007WR006280.
LeBlanc, D. R., S. P. Garabedian, K. M. Hess, L. W. Gelhar, R. D. Quadri, K. G. Stollenwerk, and W. W. Wood. 1991. “Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts. 1: Experimental design and observed tracer movement.” Water Resour. Res. 27 (5): 895–910. https://doi.org/10.1029/91WR00241.
LeVeque, R. J. 2007. Finite difference methods for ordinary and partial differential equations: Steady-state and time-dependent problems. Philadelphia: Society for Industrial and Applied Mathematics.
Mahabadi, N., X. Zheng, T. S. Yun, L. van Paassen, and J. Jang. 2018. “Gas bubble migration and trapping in porous media: Pore-scale simulation.” J. Geophys. Res. Solid Earth 123 (2): 1060–1071. https://doi.org/10.1002/2017JB015331.
Mahmoodi, B., and A. P. Gallant. 2020. “Efficient determination of aqueous-phase gas diffusion coefficients and tortuosity in soil.” Géotech. Lett. 10 (4): 1–7. https://doi.org/10.1680/jgele.20.00103.
Maryshev, B. 2017. “Transport of dissolved gases through unsaturated porous media.” In Proc., IOP Conf. Series: Materials Science and Engineering. Bristol, UK: Institute of Physics.
McLeod, H. C., J. W. Roy, and J. E. Smith. 2015. “Patterns of entrapped air dissolution in a two-dimensional pilot-scale synthetic aquifer.” Ground Water 53 (2): 271–281. https://doi.org/10.1111/gwat.12203.
McWhorter, D., A. Corey, and K. Adam. 1973. “The elimination of trapped gas from porous media by diffusion.” Soil Sci. 116 (1): 18–25. https://doi.org/10.1097/00010694-197307000-00004.
Okamura, M., M. Ishihara, and K. Tamura. 2006. “Degree of saturation and liquefaction resistances of sand improved with sand compaction pile.” J. Geotech. Geoenviron. Eng. 132 (2): 258–264. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:2(258).
Okamura, M., and Y. Soga. 2006. “Effects of pore fluid compressibility on liquefaction resistance of partially saturated sand.” Soils Found. 46 (5): 695–700. https://doi.org/10.3208/sandf.46.695.
Okamura, M., M. Takebayashi, K. Nishida, N. Fujii, M. Jinguji, T. Imasato, H. Yasuhara, and E. Nakagawa. 2011. “In-situ desaturation test by air injection and its evaluation through field monitoring and multiphase flow simulation.” J. Geotech. Geoenviron. Eng. 137 (7): 643–652. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000483.
Peck, A. 1969. “Entrapment, stability, and persistence of air bubbles in soil water.” Soil Res. 7 (2): 79–90. https://doi.org/10.1071/SR9690079.
Perkins, T., and O. Johnston. 1963. “A review of diffusion and dispersion in porous media.” Soc. Pet. Eng. J. 3 (1): 70–84. https://doi.org/10.2118/480-PA.
Pietruszczak, S., G. Pande, and M. Oulapour. 2003. “A hypothesis for mitigation of risk of liquefaction.” Géotechnique 53 (9): 833–838. https://doi.org/10.1680/geot.2003.53.9.833.
Rad, N. S., and T. Lunne. 1994. “Gas in soil. I: Detection and profiling.” J. Geotech. Eng. 120 (4): 697–715. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:4(697).
Rebata-Landa, V., and J. C. Santamarina. 2012. “Mechanical effects of biogenic nitrogen gas bubbles in soils.” J. Geotech. Geoenviron. Eng. 138 (2): 128–137. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000571.
Shackelford, C. D., and D. E. Daniel. 1991. “Diffusion in saturated soil. I: Background.” J. Geotech. Eng. 117 (3): 467–484. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:3(467).
Sherif, M. A., C. Tsuchiya, and I. Ishibashi. 1977. “Saturation effects on initial soil liquefaction.” J. Geotech. Eng. Div. 103 (8): 914–917.
Sudicky, E. A. 1986. “A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process.” Water Resour. Res. 22 (13): 2069–2082. https://doi.org/10.1029/WR022i013p02069.
Tsukamoto, Y., K. Ishihara, H. Nakazawa, K. Kamada, and Y. Huang. 2002. “Resistance of partly saturated sand to liquefaction with reference to longitudinal and shear wave velocities.” Soils Found. 42 (6): 93–104. https://doi.org/10.3208/sandf.42.6_93.
Weymann, D., R. Well, H. Flessa, C. von der Heide, M. Deurer, K. Meyer, C. Konrad, and W. Walther. 2008. “Assessment of excess and groundwater emission factors of nitrate-contaminated aquifers in northern Germany.” Biogeosci. Discuss. 5 (2): 1263–1292.
Yager, R. M., and J. C. Fountain. 2001. “Effect of natural gas exsolution on specific storage in a confined aquifer undergoing water level decline.” Ground Water 39 (4): 517–525. https://doi.org/10.1111/j.1745-6584.2001.tb02340.x.
Yasuhara, H., M. Okamura, and Y. Kochi. 2008. “Experiments and predictions of soil desaturation by air-injection technique and the implications mediated by multiphase flow simulation.” Soils Found. 48 (6): 791–804. https://doi.org/10.3208/sandf.48.791.
Yegian, M., E. Eseller-Bayat, A. Alshawabkeh, and S. Ali. 2007. “Induced-partial saturation for liquefaction mitigation: Experimental investigation.” J. Geotech. Geoenviron. Eng. 133 (4): 372–380. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:4(372).
Yoshimi, Y., K. Tanaka, and K. Tokimatsu. 1989. “Liquefaction resistance of a partially saturated sand.” Soils Found. 29 (3): 157–162. https://doi.org/10.3208/sandf1972.29.3_157.
Zhao, W., and M. A. Ioannidis. 2011. “Gas exsolution and flow during supersaturated water injection in porous media: I. Pore network modeling.” Adv. Water Resour. 34 (1): 2–14. https://doi.org/10.1016/j.advwatres.2010.09.010.
Zheng, J., and R. D. Hryciw. 2016. “Roundness and sphericity of soil particles in assemblies by computational geometry.” J. Comput. Civ. Eng. 30 (6): 04016021. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000578.
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© 2020 American Society of Civil Engineers.
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Received: Jul 6, 2020
Accepted: Oct 27, 2020
Published online: Dec 31, 2020
Published in print: Mar 1, 2021
Discussion open until: May 31, 2021
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