Abstract
This benchmark provides the first rigorous test of a three-isotope system [12C, 13C, and 14C] subject to the combined effects of radioactive decay and both stable equilibrium and kinetic fractionation. We present a series of problems building in complexity based on the cycling of carbon in both organic and inorganic forms. The key components implement (1) equilibrium fractionation between multiple coexisting carbon species as a function of pH, (2) radioactive decay of radiocarbon with associated mass-dependent speciation demonstrating appropriate correction of the Δ14C value in agreement with reporting convention, and (3) kinetic stable isotope fractionation due to the oxidation of organic carbon to inorganic forms as a function of time and space in an open, through-flowing system. Participating RTM codes are CrunchTope, ToughReact, Hytec, and The Geochemist’s Workbench. Across all problem levels, simulation results from all RTMs demonstrate good agreement.
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References
Arora, B., ??engör, S.S., Spycher, N.F., & Steefel, C.I.: A reactive transport benchmark on heavy metal cycling in lake sediments. Comput. Geosci. 19(3), 613–633 (2015)
Arora, B., Davis, J.A., Spycher, N.F., Dong, W., & Wainwright, H.M.: Comparison of electrostatic and non-electrostatic models for U (VI) sorption on aquifer sediments. Groundwater. 56(1), 73–86 (2018)
Conrad, R., Klose, M., Yuan, Q., Lu, Y., Chidthaisong, A.: Stable carbon isotope fractionation, carbon flux partitioning and priming effects in anoxic soils during methanogenic degredation of straw and soil organic matter. Soil Biol. Biochem. 49, 193–199 (2012)
Criss, R.E.: Principles of stable isotope distribution. Oxford University Press, New York (1999)
Dale, A.W., Bruchert, V., Alperin, M., Regnier, P.: An integrated sulfur isotope model for Namibian shelf sediments. Geochim. Cosmochim. Acta. 73, 1924–1944 (2009). https://doi.org/10.1016/j.gca.2008.12.015
Druhan, J.L., Maher, K.: A model linking stable isotope fractionatoin to water flux and transit times in heterogeneous porous media. Procedia Earth Planet. Sci. 10, 179–188 (2014)
Druhan, J.L., Steefel, C.I., Molins, S., Williams, K.H., Conrad, M.E., DePaolo, D.J.: Timing the onset of sulfate reduction over multiple subsurface acetate amendments by measurement and modeling of sulfur isotope fractionation. Environ. Sci. Technol. 46, 8895–8902 (2012). https://doi.org/10.1021/es302016p
Druhan, J.L., Steefel, C.I., Williams, K.H., DePaolo, D.J.: Calcium isotope fractionation in groundwater: molecular scale processes influencing field scale behavior. Geochim. Cosmochim. Acta. 119, 93–116 (2013)
Druhan, J.L., Steefel, C.I., Conrad, M.E., DePaolo, D.J.: A large column analog experiment of stable isotope variations during reactive transport: I. A comprehensive model of sulfur cycling and delta S-34 fractionation. Geochim. Cosmochim. Acta. 124, 366–393 (2014a). https://doi.org/10.1016/j.gca.2013.08.037
Druhan, J.L., Bill, M., Lim, H., Wu, C., Conrad, M.E., Williams, K.H., DePaolo, D.J., Brodie, E.L.: A large column analog experiment of stable isotope variations during reactive transport: II. Carbon mass balance, microbial community structure and predation. Geochim. Cosmochim. Acta. 124, 394–409 (2014b)
Eckert, D., Rolle, M., Cirpka, O.A.: Numerical simulation of isotope fractionation in steady-state bioreactive transport controlled by transverse mixing. J. Contam. Hydrol. 140, 95–106 (2012). https://doi.org/10.1016/j.jconhyd.2012.08.010
Fey, A., Claus, P., Conrad, R.: Temporal change of 13C-isotope signatures and methanogenic pathways in rice field soil incubated anoxically at different temperatures. Geochim. Cosmochim. Acta. 68(2), 293–306 (2004)
Gibson, B.D., Amos, R.T., Blowes, D.W.: S-34/S-32 Fractionation during sulfate reduction in groundwater treatment systems: reactive transport modeling. Environ. Sci. Technol. 45, 2863–2870 (2011). https://doi.org/10.1021/es1038276
Hubbard, C.G., Cheng, Y., Engelbrekston, A., Druhan, J.L., Li, L., Ajo-Franklin, J.B., Conrad, M.E.: Isotopic insights into microbial sulfur cycling in oil reservoirs. Front. Microbiol. 5, 480 (2014)
Hunkeler, D., Van Breukelen, B.M., Elsner, M.: Modeling chlorine isotope trends during sequential transformation of chlorinated ethenes. Environ. Sci. Technol. 43, 6750–6756 (2009). https://doi.org/10.1021/es900579z
Jamieson-Hanes, J.H., Amos, R.T., Blowes, D.W.: Reactive transport modeling of chromium isotope fractionation during Cr(VI) reduction. Environ. Sci. Technol. 46, 13311–13316 (2012). https://doi.org/10.1021/es3046235
Lapham, L., Proctor, L., Chanton, J.: Using respiration rates and stable carbon isotopes to monitor the biodegradation of orimulsion by marine benthic bacterial. Environ. Sci. Technol. 33(12), 2035–2039 (1999)
Lee, M.K., Bethke, C.M.: A model of isotope fractionation in reacting geochemical systems. Am. J. Sci. 296(9), (1996)
Li, L., Maher, K., Navarre-Sitchler, A., Druhan, J.L., Meile, C., Lawrence, C., Moore, J., Perdrial, J., Sullivan, P., Thompson, A., Jin, L., Bolton, E.W., Brantley, S.L., Dietrich, W., Mayer, K.U., Steefel, C.I., Valocci, A., Zachara, J., Kocar, B., Mcintoch, J., Bao, C., Tutolo, B.M., Beisman, J., Kumar, M., Sonnenthal, E.: Expanding the role of reactive transport models in critical zone processes. Earth Sci. Rev. 165, 280–301 (2017)
Maher, K., Steefel, C.I., DePaolo, D.J., Viani, B.E.: The mineral dissolution rate conundrum: insights from reactive transport modeling of U isotopes and pore fluid chemistry in marine sediments. Geochim. Cosmochim. Acta. 70, 337–363 (2006a). https://doi.org/10.1016/j.gca.2005.09.001
Maher, K., DePaolo, D.J., Christensen, J.N.: U-Sr isotopic speedometer: fluid flow and chemical weathering rates in aquifers. Geochim. Cosmochim. Acta. 70, 4417–4435 (2006b). https://doi.org/10.1016/j.gca.2006.06.1559
Mook, W.G.: 13C in atmospheric CO2. Neth. J. Sea Res. 20, 211–223 (1986)
Rolle, M., Chiogna, G., Bauer, R., Griebler, C., Grathwohl, P.: Isotopic fractionation by transverse dispersion: flow-though microcosms and reactive transport modeling study. Environ. Sci. Technol. 44, 6167–6173 (2010). https://doi.org/10.1021/es101179f
Steefel, C.I., Druhan, J.L., Maher, K.: Relationships between transit time of water and the fluxes of weathered elements through the critical zone. Procedia Earth Planet. Sci. 10, 16–22 (2014)
Steefel, C.I., Appelo, C.A.J., Arora, B., Jacques, D., Kalbacher, T., Kolditz, O., Lagneau, V., Lichtner, P.C., Mayer, K.U., Meeussen, J.C.L., Molins, S., Moulton, D., Shao, H., Šimunek, J., Spycher, N., Yabusaki, S.B., Yeh, G.T.: Reactive transport codes for subsurface environmental simulation. Comput. Geosci. 19(3), 445–478 (2015)
Trumbore, S.: Radiocarbon and soil carbon dynamics. Annu. Rev. Earth Planet. Sci. 37, 47–66 (2009). https://doi.org/10.1146/annurev.earth.36.031207.124300
Van Breukelen, B.M., Rolle, M.: Transverse hydrodynamic dispersion effects on isotope signals in groundwater chlorinated solvents’ plumes. Environ. Sci. Technol. 46, 7700–7708 (2012). https://doi.org/10.1021/es301058z
van der Lee, J., De Windt, L., Lagneau, V., Goblet, P.: Module-oriented modeling of reactive transport with HYTEC. Comput. Geosci. 29, 265–275 (2003)
Wanner, C., Druhan, J.L., Amos, R.T., Alt-Epping, P., Steefel, C.I.: Benchmarking the simulation of Cr isotope fractionation. Comput. Geosci. (2015). https://doi.org/10.1007/s10596-014-9436-9
Werth, M., Kuzyakov, Y.: 13C-fractionation at the root-microorganisms-soil interface: a review and outlook for partitioning studies. Soil Biol. Biochem. 42, 1372–1384 (2010)
Acknowledgments
The authors wish to thank the three anonymous reviewers for their comments, which greatly improved the manuscript.
Funding
This work was supported by the US Department of Energy, Subsurface Biogeochemical Research Award no. DE-SC0019198 to PI-Druhan.
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Highlights
• We present a set of reactive transport benchmark problems to validate accurate simulation of both stable and radioactive carbon in batch and 1D flow-through domains.
• The set builds in hierarchy and includes equilibrium and kinetic stable isotope fractionation, radioactive decay, microbial oxidation, and artificially amended substrates.
• The present paper reports validation of RTM software packages CrunchTope, ToughReact, The Geochemists Workbench, and Hytec for this benchmark.
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Druhan, J.L., Guillon, S., Lincker, M. et al. Stable and radioactive carbon isotope partitioning in soils and saturated systems: a reactive transport modeling benchmark study. Comput Geosci 25, 1393–1403 (2021). https://doi.org/10.1007/s10596-020-09937-6
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DOI: https://doi.org/10.1007/s10596-020-09937-6