||Bauer, P., Attinger, S., and Kinzelbach, W., “Transport of a decay chain in homogenous porous media: analytical solutions”, Journal of Contaminant Hydrology, 49, 217-239, 2001.|
Batu, V., “A generalized three-dimensional analytical solute transport model for multiple rectangular first-type sources”, Journal of Hydrology, 174 (1-2), 57-82, 1996.
Bear, J., “Analysis of flow against dispersion in porous media - Comments”, Journal of Hydrology, 40 (3-4), 381-385, 1979.
Chen, C.S., “Analytical and approximate solutions to radial dispersion from an injection well to a geological unit with simultaneous diffusion into adjacent strata”, Water Resources Research, 21 (8), 1069-1076, 1985.
Chen, J. S., Ni, C. F., Liang, C. P., and Chiang C. C., “Analytical power series solution for contaminant transport with hyperbolic asymptotic distance-dependent dispersivity”, Journal of Hydrological, 362, 142-149, 2008a.
Chen, J. S., Ni, C. F., and Liang, C. P., “Analytical power series solutions to the two dimensional advection–dispersion equation with distance-dependent dispersivities”, Hydrological Processes, 22 (24), 4670-4678, 2008b.
Chen, J. S., Chen, J. T., Liu, C.W., Liang, C.P., and Lin, C. W., “Analytical solutions to two-dimensional advection–dispersion equation in cylindrical coordinates in finite domain subject to first-and third-type inlet boundary conditions”, Journal of Hydrological, 405, 522-531, 2011.
Chen, J. S., Lai, K. H., Liu, C. W., and Ni, C. F., “A novel method for analytically solving multi-species advective-dispersive transport equations sequentially coupled with first-order decay reactions”, Journal of Hydrology, 420-421, 191-204, 2012a.
Chen, J. S., Liu, C. W., Liang C. P., and Lai, K. H., “Generalized analytical solutions to sequentially coupled multi-species advective-dispersive transport equations in a finite domain subject to an arbitrary time-dependent source boundary condition”, Journal of Hydrology, 456-457, 101-109, 2012b.
Chen, J. S., Liang, C. P., Liu, C. W., and Li, L. Y., “An analytical model for simulating two-dimensional multispecies plume migration”, Hydrology and Earth System Sciences, 20, 733-753, 2016.
Cho, C. M., “Convective transport of ammonium with nitrification in soil”, Canadian Journal of Soil Science, 51, 339-350, 1971.
Clement, T. P., “Generalized solution to multispecies transport equations coupled with a first-order reaction network”, Water Resources Research, 37, 157-163, 2001.
Cotta, R. M., “Integral transforms in computational heat and fluid flow”, CRC Press, Boca Raton, FL, 1993.
Domenico, P. A., “An analytical model for multidimensional transport of a decaying contaminant species”, Journal of Hydrology, 91, 49-58, 1987.
Gao, G., Zhan, H., Feng, S., Fu, B., Ma, Y., and Huang G., “A new mobile-immobile model for reactive solute transport with scale-dependent dispersion”, Water Resources Research, 46, W08533, doi:10. 1029/2009WR008707, 2010.
Hunt, B., “Dispersive sources in uniform ground-water flow”, Journal of the Hydraulics Division, 104 (1), 75-85, 1978.
Hwang, H. T., Jeen, S. W., Sudicky, E. A., and Illman, W. A., “Determination of rate constants and branching ratios for TCE degradation by zero-valent iron using a chain decay multispecies model”, Journal of Contaminant Hydrology, 177-178, 43-53, 2015.
Lunn, M., Lunn, R. J., and Mackay, R., “Determining analytic solutions of multiple species contaminant transport with sorption and decay”, Journal of Hydrology, 180 (1-4), 195-210, 1996.
Perez Guerrero, J. S., Skaggs, T. H., and van Genuchten, M. Th., “Analytical solution for multi-species contaminant transport subject to sequential first-order decay reactions in finite media”, Transport in Porous Media, 80, 373-387, 2009.
Perez Guerrero, J. S. and Skaggs, T. H., “Analytical solution for one-dimensional advection-dispersion transport equation with distance-dependent coefficients”, Journal of Hydrology, 390, 57-65, 2010.
Perez Guerrero, J. S., Skaggs, T. H., and van Genuchten, M. Th., “Analytical solution for multi-species contaminant transport in finite media with time-varying boundary conditions”, Transport in Porous Media, 85 (1), 171-188, 2010.
Srinivasan, V., and Clement, T. P., “Analytical solutions for sequentially coupled one-dimensional reactive transport problems - Part I: mathematical derivations”, Advances in Water Resources, 31, 203-218, 2008.
Srinivasan, V., and Clement, T. P., “Analytical solutions for sequentially coupled one-dimensional reactive transport problems - Part II: special cases, implementation and testing”, Advances in Water Resources, 31, 219-232, 2008.
Sudicky, E. A., Hwang, H. T., Illman, W. A., Wu, Y. S., Kool, J. B., and Huyakorn, P., “A semi-analytical solution for simulating contaminant transport subject to chain-decay reactions”, Journal of Contaminant Hydrology, 144, 20-45, 2013.
Sun, Y., and Clement, T. P., “A decomposition method for solving coupled multi-species reactive transport problems”, Transport in Porous Media, 37, 327-346, 1999.
Sun, Y., Petersen, J. N., and Clement, T. P., “Analytical solutions for multiple species reactive transport in multiple dimensions”, Journal of Contaminant Hydrology, 35, 429-440, 1999a.
Sun, Y., Petersen, J. N., Clement, T. P., and Skeen, R. S., “Development of analytical solutions for multi-species transport with serial and parallel reactions”, Water Resources Research, 35, 185-190, 1999b.
Sun, Y., and Glascoe, L., “Modeling biodegradation and reactive transport: Analytical and numerical models”, ACS Symposium Series 940, 153-174, 2005.
van Genuchten, M. Th., and Alves, W. J., “Analytical solutions of the one-dimensional convective-dispersive solute transport equation”, US Department of Agriculture Technical Bulletin, No. 1661, 151, 1982.
van Genuchten, M. Th., “Convective–dispersive transport of solutes involved in sequential first-order decay reactions”, Computers & Geosciences, 11, 129-147, 1985.
Wilson, J. L., and Miller, P. J., “Two-dimensional plume in uniform groundwater flow”, Journal of the Hydraulics Division, 104, 503-514, 1978.
Yates, M.V., and Yates, S.R., “Modeling microbial fate in the subsurface environment”, CRC Critical Reviews in Environmental Control, 17, 307-344, 1988.
Yuan, D., and Kernan, W., “Explicit solutions for exit-only radioactive decay chains”, Journal of Applied Physics 101, 094097, 2007.
Zhan, H., Zhang, W., and Gao, G., “An analytical solution of two-dimensional reactive solute transport in an aquifer-aquitard system”, Water Resources Research, 45, W10501, doi:10.1029/2008WR007479, 2009.