Closure to “Analytical Solution for Dissolution-Timescale Reactive Transport in Fluid-Saturated Porous Rocks” by Chongbin Zhao, B. E. Hobbs, and A. Ord
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References
Chadam, J., D. Hoff, E. Merino, P. Ortoleva, and A. Sen. 1986. “Reactive infiltration instabilities.” IMA J. Appl. Math. 36 (3): 207–221. https://doi.org/10.1093/imamat/36.3.207.
Chen, J. S., and C. W. Liu. 2002. “Numerical simulation of the evolution of aquifer porosity and species concentrations during reactive transport.” Comput. Geosci. 28 (4): 485–499. https://doi.org/10.1016/S0098-3004(01)00084-X.
Chen, J. S., C. W. Liu, G. X. Lai, and C. F. Ni. 2009. “Effects of mechanical dispersion on the morphological evolution of a chemical dissolution front in a fluid-saturated porous medium.” J. Hydrol. 373 (1–2): 96–102. https://doi.org/10.1016/j.jhydrol.2009.04.014.
Hinch, E. J., and B. S. Bhatt. 1990. “Stability of an acid front moving through porous rock.” J. Fluid Mech. 212 (Mar): 279–288. https://doi.org/10.1017/S0022112090001963.
Ladd, A. J. C., and P. Szymczak. 2017. “Use and misuse of large-density asymptotics in the reaction-infiltration instability.” Water Resour. Res. 53 (3): 2419–2430. https://doi.org/10.1002/2016WR019263.
Lai, K. H., J. S. Chen, C. W. Liu, S. Y. Hsu, and C. Steefel. 2016. “Effect of medium permeability anisotropy on the morphological evolution of two non-uniformities in a geochemical system.” J. Hydrol. 533 (Feb): 224–233. https://doi.org/10.1016/j.jhydrol.2015.11.039.
Lai, K. H., J. S. Chen, C. W. Liu, and S. H. Yang. 2014. “Effect of permeability–porosity functions on simulated morphological evolution of a chemical dissolution front.” Hydrol. Processes. 28 (1): 16–24. https://doi.org/10.1002/hyp.9492.
Lichtner, P. C. 1988. “The quasi-stationary state approximation to coupled mass transport and fluid-rock interaction in a porous media.” Geochim. Cosmochim. Acta 52 (1): 143–165. https://doi.org/10.1016/0016-7037(88)90063-4.
Ortoleva, P., E. Merino, C. Moore, and J. Chadam. 1987. “Geochemical self-organization I: Reaction-transport feedbacks and modeling approach.” Am. J. Sci. 287 (10): 979–1007. https://doi.org/10.2475/ajs.287.10.979.
Sherwood, J. D. 1987. “Stability of a plane reaction front in a porous medium.” Chem. Eng. Sci. 42 (7): 1823–1829. https://doi.org/10.1016/0009-2509(87)80187-2.
Szymczak, P., and A. J. C. Ladd. 2013. “Interacting length scales in the reactive-infiltration instability.” Geophys. Res. Lett. 40 (12): 3036–3041. https://doi.org/10.1002/grl.50564.
Szymczak, P., and A. J. C. Ladd. 2014. “Reactive infiltration instabilities in rocks. Part 2. Dissolution of a porous matrix.” J. Fluid Mech. 738 (Jan): 591–630. https://doi.org/10.1017/jfm.2013.586.
Wangen, M. 2013. “Stability of reaction-fronts in porous media.” Appl. Math. Modell. 37 (7): 4860–4873. https://doi.org/10.1016/j.apm.2012.10.004.
Zhao, C., B. E. Hobbs, P. Hornby, A. Ord, S. Peng, and L. Liu. 2008. “Theoretical and numerical analyses of chemical-dissolution front instability in fluid-saturated porous rocks.” Int. J. Numer. Anal. Methods Geomech. 32 (9): 1107–1130. https://doi.org/10.1002/nag.661.
Zhao, C., B. E. Hobbs, and A. Ord. 2013. “Theoretical analyses of acidization dissolution front instability in fluid-saturated carbonate rocks.” Int. J. Numer. Anal. Methods Geomech. 37 (13): 2084–2105. https://doi.org/10.1002/nag.2123.
Zhao, C., B. E. Hobbs, and A. Ord. 2015. “Theoretical analyses of chemical dissolution-front instability in fluid-saturated porous media under non-isothermal conditions.” Int. J. Numer. Anal. Methods Geomech. 39 (8): 799–820. https://doi.org/10.1002/nag.2332.
Zhao, C., B. E. Hobbs, and A. Ord. 2017. “Why asymptotic limit of the acid dissolution capacity can lead to a sharp dissolution front in chemical dissolution of porous rocks?” Int. J. Numer. Anal. Methods Geomech. 41 (15): 1590–1602. https://doi.org/10.1002/nag.2690.
Zhao, C., B. E. Hobbs, and A. Ord. 2018a. “Reply to comment on ‘Validity of using large-density asymptotics for studying reaction-infiltration instability in fluid-saturated rocks.’” J. Hydrol. 564 (Sep): 928–929. https://doi.org/10.1016/j.jhydrol.2018.07.059.
Zhao, C., B. E. Hobbs, and A. Ord. 2018b. “Validity of using large-density asymptotics for studying reaction-infiltration instability in fluid-saturated rocks.” J. Hydrol. 559 (Apr): 454–460. https://doi.org/10.1016/j.jhydrol.2018.02.030.
Zhao, C., B. E. Hobbs, A. Ord, and S. Peng. 2010. “Effects of mineral dissolution ratios on chemical-dissolution front instability in fluid-saturated porous media.” Transp. Porous Media 82 (2): 317–335. https://doi.org/10.1007/s11242-009-9427-9.
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© 2019 American Society of Civil Engineers.
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Received: Nov 13, 2018
Accepted: Feb 27, 2019
Published online: May 17, 2019
Published in print: Aug 1, 2019
Discussion open until: Oct 17, 2019
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