Three-dimensional analytical models for time-dependent coefficients through uniform and varying plane input source in semi-infinite adsorbing porous media.

Amro, M. M. E., Uffink, G. and Lebreton, S. (2012). Influence of temporal fluctuations and spatial heterogeneity on pollution transport in porous media. Hydrogeo. J., 20; 283-297.

Batu, V. and Van Genuchten, M. Th. (1990). First and Third-Type boundary conditions in 2d solute transport modelling. Water Resour. Res., 26(2); 339-350.

Chen, J.S. and Liu, C.W. (2011). Generalized analytical solution for advection-dispersion equation in finite spatial domain with arbitrary time-dependent inlet boundary condition. Hydrol. Earth Sys. Sci., 15; 2471-2479.

Chen, J.S., Ni, C. F., Liang, C. P. and Chiang, C. C. (2008). Analytical power series solution for contaminant transport with hyperbolic asymptotic distance-dependent dispersivity. J. Hydrol., 362(1-2); 142-149.

Chen, K., Zhan, H. and Zhou, R. (2016). Subsurface solute transport with one-, two- and three-dimensional arbitrary shape sources. J. Cont. Hydrol., 190; 44-57.

Cirpka, O. A. and Attinger, S. (2003). Effective dispersion in heterogeneous media under random transient flow conditions. Water Resour. Res., 39(9); 1257.

Crank, J. (1975). The mathematics of diffusion. Oxford Univ. Press, London, 2nd Ed.

Gelhar, L.W., Welty, C. and Rehfeldt, K. R. (1992). A critical review of data on field-scale dispersion in aquifers. Water Resour. Res., 28(7); 1955-1974.

Guerrero, J. S., Pimentel, L. C. G., Skaggs, T. H. and Van Genuchten, M. Th. (2009). Analytical solution of the advection-diffusion transport equation using a change-of-variable and integral transform technique. International J. Heat Mass Transfer, 52(13-14); 3297-3304.

Kumar, A., Jaiswal, D. K. and Kumar, N. (2010). Analytical solutions to one-dimensional advection-diffusion equation with variable coefficients in semi-infinite media. J. Hydrol., 380(3-4); 330-337.

Kumar, N. and Singh, M. K. (1998). Solute dispersion along unsteady groundwater flow in a semi-infinite aquifer. Hydrol. Earth Syst. Sci., 2(1); 93-100.

Leij, F. J., Skaggs, T. H. and Van Genuchten, M. T. (1991). Analytical solution for solute transport in three-dimensional semi-infinite porous media. Water Resour. Res., 27 (10); 2719-2733.

Majdalani, S., Chazarin, J. P., Delenne, C. and Guinot, V. (2015). Solute transport in periodical heterogeneous porous media: Importance of observation scale and experimental sampling. J. Hydrol, 520; 52-60.

Sanskrityayn, A., Bharati, V. K. and Kumar, N. (2016). Analytical solution of ADE with spatiotemporal dependence of dispersion coefficient and velocity using Green’s function method. J. Ground. Res., 5(1); 24-31.

Simunek, J. and Suarez, D. L. (1994). Two-dimensional transport model for variably saturated porous media with major ion chemistry. Water Resour. Res., 30(4); 1115-1133.

Singh, M. K., Singh, P. and Singh, V. P. (2010). Analytical solutions for two-dimensional solute transport in finite aquifer with time dependent source concentration. J. Eng. Mech., 136(10); 1309-1315.

Singh, M. K. and Chatterjee, A. (2016). Solute dispersion in a semi-infinite aquifer with specified concentration along an arbitrary plane source. J. Hydrol., 541; 928-934.

Singh, M. K. and Kumari, P. (2014). Contaminant concentration prediction along unsteady groundwater flow. Modell. Simulat. Diffus. Process. XII; 257-276.

Singh, M.K., Mahato N.K., and Singh, P. (2008). Longitudinal dispersion with time dependent source concentration in semi-infinite aquifer. J. Earth Sys. Scien., 117 (6); 945-949.

Singh, M. K., Singh, V. P., Singh, P. and Shukla, D. (2009). Analytical solution for conservative solute transport in one dimensional homogeneous porous formations with time-dependent velocity. J. Eng. Mech., 135 (9); 1015-1021.

Smedt, F. D. (2006). Analytical solutions for transport of decaying solutes in rivers with transient storage. J. Hydrol., 330(3-4); 672-680.

Srinivasan, V. and Clement, T. P. (2008). Analytical solutions for sequentially coupled one-dimensional reactive transport problems Part-I: Mathematical derivations. Adv. Water Resour. Res., 31; 203-218.

Sudicky, E. A. and Cherry J. A. (1979). Field observations of tracer dispersion under natural flow conditions in an unconfined sandy aquifer. Water Poll. Research Canada, 14; 1-17.

Todd, D. K. (1980). Groundwater Hydrology. John Wiley, New York, USA, 2nd Ed.

Van Genuchten, M. Th. and Alves, W. J., (1982). Analytical solutions of one dimensional convective-dispersive solute transport equation. United State Dept. of Agriculture, Technical Bulletin No. 1661; 1-51.

Van Genuchten, M. Th., Leij, F. J., Skaggs, T. H., Toride, N., Bradford, S. A. and Pontedeiro, E. M. (2013). Exact analytical solutions for contaminant transport in rivers 1. The equilibrium advection dispersion equation. J. Hydrol. Hydromech., 61(2), 146-160.

Wang, J. and Tsay, T. K. (2001). Tidal effects on groundwater motions. Transp. Porous Media, 43; 159-178.

Wilson, J. L. and Miller, P. J. (1978). Two-dimensional plume in uniform groundwater flow. Journal of the Hydraulics Division, ASCE, 104 (HY4); 503-514.

Yadav, R. R., Jaiswal, D. K. and Gulrana. (2012). Two-dimensional solute transport for periodic flow in isotropic porous media: an analytical solution. Hydrol. Process., 26(22); 3425-3433.

Yadav, R. R., Jaiswal, D. K., Yadav, H. K. and Gulrana. (2011). Temporally dependent dispersion through semi-infinite homogeneous porous media: an analytical solution. Int. J. Res. Rev. Appl. Sc., 6; 158-164.

Yadav, R. R., Vinda, R. R. and Kumar, N. (1990). One-Dimensional Dispersion in Unsteady Flow in an Adsorbing Porous Medium: An Analytical Solution. Hydrol. Process, 4; 189-196.

Yates, S. R. (1990). An analytical solution for one-dimensional transport in heterogeneous porous media. Water Resour. Res., 26(10); 2331-2338.

Yim, C. S. and Mohsen, M. F. N. (1992). Simulation of tidal effects on contaminant transport in porous media. Ground Water, 30(1); 78-86.

Zhan, H. and Park, E. (2001). Analytical solutions of contaminant transport from finite one-, two-, and three-dimensional sources in a finite-thickness aquifer. J. Cont. Hydrol., 53; 41-61.