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I. Battiato, D. Tartakovsky, A. Tartakovsky, and T. Scheibe, On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media, Advances in Water Resources, vol.32, issue.11, pp.1664-1673, 2009.
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K. Jarman and A. Tartakovsky, Divergence of solutions to perturbation-based advection???dispersion moment equations, Advances in Water Resources, vol.34, issue.5, 2011.
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G. Lin and A. M. Tartakovsky, An efficient, high-order probabilistic collocation method on sparse grids for three-dimensional flow and solute transport in randomly heterogeneous porous media, Advances in Water Resources, vol.32, issue.5, pp.712-722, 2009.
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G. Lin and A. M. Tartakovsky, Numerical Studies of Three-dimensional Stochastic Darcy???s Equation and Stochastic Advection-Diffusion-Dispersion Equation, Journal of Scientific Computing, vol.26, issue.3, pp.92-117, 2010.
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G. Lin, A. M. Tartakovsky, and D. M. Tartakovsky, Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids, Journal of Computational Physics, vol.229, issue.19, pp.6995-7012, 2010.
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J. Luo, M. Dentz, J. Carrera, and P. Kitanidis, Effective reaction parameters for mixing controlled reactions in heterogeneous media, Water Resources Research, vol.34, issue.2, pp.10-1029, 2008.
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A. Tartakovsky, Langevin model for reactive transport in porous media, Physical Review E, vol.82, issue.2, p.26302, 2010.
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A. M. Tartakovsky, S. P. Neuman, and R. Lenhard, Immiscible front evolution in randomly heterogeneous porous media, Physics of Fluids, vol.15, issue.11, pp.15-3331, 2003.
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A. M. Tartakovsky, L. Garcia-naranjo, and D. M. Tartakovsky, Transient Flow in a Heterogeneous Vadose Zone with Uncertain Parameters, Vadose Zone Journal, vol.3, issue.1, pp.154-163, 2004.
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A. M. Tartakovsky, P. Meakin, and H. Huang, Stochastic analysis of immiscible displacement of the fluids with arbitrary viscosities and its dependence on support scale of hydrological data, Advances in Water Resources, vol.27, issue.12, pp.1151-1166, 2004.
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A. M. Tartakovsky, D. M. Tartakovsky, and P. Meakin, Stochastic Langevin Model for Flow and Transport in Porous Media, Physical Review Letters, vol.101, issue.4, pp.10-1103, 2008.
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A. M. Tartakovsky, G. D. Tartakovsky, and T. D. Scheibe, Effects of incomplete mixing on multicomponent reactive transport, Advances in Water Resources, vol.32, issue.11, pp.1674-1679, 2009.
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D. M. Tartakovsky, A. Guadagnini, F. Ballio, and A. M. Tartakovsky, Localization of mean flow and apparent transmissivity tensor for bounded randomly heterogeneous aquifers, Transport in Porous Media, vol.49, issue.1, pp.41-58, 2002.
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D. M. Tartakovsky, Z. Lu, A. Guadagnini, and A. M. Tartakovsky, Unsaturated flow in heterogeneous soils with spatially distributed uncertain hydraulic parameters, Journal of Hydrology, vol.275, issue.3-4, pp.182-193, 2003.
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A. Balter and A. M. Tartakovsky, (alexandre.tartakovsky@ pnl.gov) D. Bolster, Environmental Fluid Dynamics Laboratories, Department of Civil Engineering and Geological Sciences, p.35042