Akylas, E., Koussis, A. D., & Yyanacopoulos, A. N. (2006). Analytical solution of transient flow in a sloping soil layer with recharge. Hydrological Sciences Journal, 51(4), 626–641. https://doi.org/10.1623/hysj.51.4.626
Al-Taliby, W., & Pandit, A. (2017). Comparison of solutions of coupled and uncoupled models for the Henry problem. World Environmental and Water Resources Congress 2017, Sacramento, California. https://doi.org/10.1061/9780784480618.016
Amin, F., & Malek, A. (2017). Spectral Fourier–Galerkin benchmark solution for natural convection in an inclined saturated porous medium. Numerical Heat Transfer, Part B: Fundamentals, 71(4), 372–395. https:// doi.org/10.1080/10407790.2016.1265300
Ataie-Ashtiani, B., & Aghayi, M. M. (2006). A note on benchmarking of numerical models for density-dependent flow in porous media. Advances in Water Resources, 29(12), 1918–1923. https://doi.org/10.1016/j.advwatres.2006.01.009
Ataie-Ashtiani, B., Werner, A. D., Simmons, C. T., Morgan, L. K., & Lu, C. (2013). How important is the impact of land-surface inundation on seawater intrusion caused by sea-level rise?. Hydrogeology Journal, 21(7), 1673–1677. https://doi.org/10.1007/s10040-013-1021-0
Baazm, Z., Akbarpour, A., Yaghoubzadeh, M., Eslamian, S.S., & Khozeymehnezhad, H. (2025). Investigation of the effect of cutoff wall on controlling seawater intrusion and reducing nitrate contamination in coastal aquifers using the meshless local Petrov–Galerkin (mlpg) numerical model. Journal of Aquifer and Qanat, 6 (2), 175-198. https://doi.org/jaaq.2025.10092.1126.
Basha, H. A., & Maalouf, S. F. (2005). Theoretical and conceptual models of subsurface hillslope flows. Water Resources Research, 41(7), W07024. https:// doi.org/10.1029/2004WR003769
Bear, J. (1979). Hydraulics of Groundwater. McGraw-Hill International Book Company.
Bear, J., Cheng, A. H.-D., Sorek, S., Ouazar, D., & Herrera, I. (1999). Seawater Intrusion in Coastal Aquifers: Concepts, Methods and Practices. Springer Netherlands. https://doi.org/10.1007/978-94-017-2969-7
Carlston, C. W. (1963). An early American statement of the Badon-Ghyben-Herzberg principle of static fresh-water-salt-water balance. American Journal of Science, 261(1), 88–91. https:// doi.org/10.2475/ajs.261.1.88
Cooper, H. H. (1959). A hypothesis concerning the dynamic balance of fresh water and salt water in a coastal aquifer. Journal of Geophysical Research, 64(4), 461–467. https://doi.org/10.1029/JZ064i004p00461
Cooper, H. H., Kohout, F. A., Henry, H. R., & Glover, R. E. (1964). Sea Water in Coastal Aquifers: Relation of Salt Water to Fresh Ground Water. USGS Water-Supply Paper 1613-C. https://doi.org/10.3133/wsp1613C
Croucher, A. E., & O’Sullivan, M. J. (1995). The Henry problem for saltwater intrusion. Water Resources Research, 31(7), 1809–1814. https://doi.org/10.1029/95WR00431
Dentz, M., Tartakovsky, D. M., Abarca, E., Guadagnini, A., Sanchez-Vila, X., & Carrera, J. (2006). Variable-density flow in porous media. Journal of Fluid Mechanics, 561, 209–235. https://doi.org/10.1017/S0022112006000668
Davis, S. N. (1978). Flotation of fresh water on sea water: A historical note. Ground Water, 16(6), 444–445. https://doi.org/10.1111/j.1745-6584.1978.tb03260.x
Drabbe, J., & Badon Ghijben, W. (1889). Nota in verband met de voorgenomen putboring nabij Amsterdam. Tijdschrift van het Koninklijk Instituut van Ingenieurs, 8–22. https:// doi.org/10.1007/s10040-018-1797-z
Fahs, M., Ataie-Ashtiani, B., Younes, A., Simmons, C. T., & Ackerer, P. (2016). The Henry problem: New semianalytical solution for velocity-dependent dispersion. Water Resources Research, 52(9), 7382–7407. https://doi.org/10.1002/2016WR019288
Fahs, M., Koohbor, B., Belfort, B., Ataie-Ashtiani, B., Simmons, C. T., Younes, A., & Ackerer, P. (2018). A generalized semi-analytical solution for the dispersive Henry problem: Effect of stratification and anisotropy on seawater intrusion. Water, 10(2), 159. https://doi.org/10.3390/w10020230
Fahs, M., Younes, A., & Mara, T. A. (2014). A new benchmark semi-analytical solution for density-driven flow in porous media. Advances in WaterResources, 70, 24–35. https://doi.org/10.1016/j.advwatres.2014.04.013
Ferguson, G., & Gleeson, T. (2012). Vulnerability of coastal aquifers to groundwater use and climate change. Nature Climate Change, 2(5), 342–345. https://doi.org/10.1038/nclimate1413
Glover, R. E. (1959). The pattern of fresh-water flow in a coastal aquifer. Journal of Geophysical Research, 64(4), 457–459. https://doi.org/10.1029/JZ064i004p00457
Henderson, F. M., & Wooding, R. A. (1964). Overland flow and groundwater flow from a steady rainfall of finite duration. Journal of Geophysical Research, 69(8), 1531–1540. https://doi.org/10.1029/JZ069i008p01531
Henry, H. R. (1959). Salt intrusion into freshwater aquifers. Journal of Geophysical Research, 64(11), 1911–1919. https://doi.org/10.1029/JZ064i011p01911
Henry, H. R. (1964). Effects of Dispersion on Salt Encroachment in Coastal Aquifers. USGS Water-Supply Paper 1613-C. https://doi.org/10.3133/wsp1613C
Huang, C.-S., Yang, S.-Y., & Yeh, H.-D. (2014). Groundwater flows to a pumping well in a sloping fault zone unconfined aquifer. Water Resources Research, 50(5), 4079–4094. https://doi.org/10.1002/2013WR014212
Hubbert, M. K. (1940). The theory of groundwater motion. The Journal of Geology, 48(8, Part 1), 785–944. https://doi.org/10.1086/624930
Hubbert, M. K. (1953). Entrapment of petroleum under hydrodynamic conditions. AAPG Bulletin, 37(8), 1954–2026. https://doi.org/10.1086/624930
Huyakorn, P. S., Andersen, P. F., Mercer, J. W., & White, H. O. (1987). Saltwater intrusion in aquifers: Development and testing of a three-dimensional finite element model. Water Resources Research, 23(2), 293–312. https://doi.org/10.1029/WR023i002p00293
Jamshidzadeh, Z., Tsai, F. T. C., Mirbagheri, S. A., & Ghasemzadeh, H. (2013). Fluid dispersion effects on density-driven thermohaline flow and transport in porous media. Advances in Water Resources, 61, 12–28. https://doi.org/10.1016/j.advwatres.2013.08.006
Karimi, M., Yazdi, M., & Zad, A. A. (2022). Investigating soil consolidation via the vacuum method by using numerical analysis. Amirkabir Journal of Civil Engineering, 54(7), 2739–2758. https://doi.org/10.22060/ceej.2022.18264.6812
Karimzadeh, E., Akbarpour, A. & Mohtashami, A. (2024). Simulation of seawater infiltration in coastal aquifer using MLPG numerical method. Journal of Aquifer and Qanat, 5 (1), 19-44. https://doi.org/10.22077/jaaq.2024.8115.1076
Koussis, A. D., Georgopoulou, E., Kotronarou, A., Lalas, D. P., Restrepo, P., Destouni, G., ... & Gomez-Gotor, A. (2010). Cost-efficient management of coastal aquifers via recharge with treated wastewater and desalination of brackish groundwater: general framework. Hydrological Sciences Journal, 55(7), 1217–1233. https://doi.org/10.1080/02626667.2010.512467
Koussis, A. D., Mazi, K., & Destouni, G. (2012). Analytical single-potential, sharp-interface solutions for regional seawater intrusion in sloping unconfined coastal aquifers, with pumping and recharge. Journal of Hydrology, 416–417, 1–11. https://doi.org/10.1016/j.jhydrol.2011.11.012
Lee, C. H., & Cheng, R. T. S. (1974). On seawater encroachment in coastal aquifers. Water Resources Research, 10(5), 1039–1043. https://doi.org/10.1029/WR010i005p01039
Lu, C., Xin, P., Kong, J., Li, L., & Luo, J. (2016). Analytical solutions of seawater intrusion in sloping confined and unconfined coastal aquifers. Water Resources Research, 52(9), 6989–7004. https://doi.org/10.1002/2016WR019101
Maas, K. (2007). Influence of climate change on a Ghijben–Herzberg lens. Journal of Hydrology, 347(1-2), 223–228. https://doi.org/10.1016/j.jhydrol.2007.09.020
Mahdizadeh Mahali, S. S., & Vafaei, F. (2018). Evaluation of the sharp interface approach simulation in predicting salinity intrusion in layered coastal aquifers under pumping conditions. Journal of Environmental Science and Technology, 20(4), 29–49. https://doi.org/10.22034/jest.2019.13700
Mahmoudian Shoushtari, M. (2010). Groundwater Hydraulics. Shahid Chamran University Press.
Mazi, K., Koussis, A., & Destouni, G. (2013). Tipping points for seawater intrusion in coastal aquifers under rising sea level. Environmental Research Letters, 8(1), 014001. https://doi.org/ 10.1088/1748-9326/8/1/014001
McEnroe, B. M. (1993). Maximum saturated depth over landfill liner. Journal of Environmental Engineering, 119(2), 262–270. https://doi.org/10.1061/(ASCE)0733-9372(1993)119:2(26)
Melloul, A. J., & Zeitoun, D. G. (1999). A semi-empirical approach to intrusion monitoring in the Israeli coastal aquifer. In Seawater Intrusion in Coastal Aquifers (pp. 543–558). Springer. https:// doi.org/10.1007/978-94-017-2969-7_16
Nohani, E., Babaali, B. & Dehghani, R. (2025). Analysis of Groundwater Salinity in the Caspian Sea Coasts
Using Meta-Heuristic Algorithms. Journal of Aquifer and Qanat, 6 (2), 25-40. http://doi.org/10.22077/jaaq.2025.10220.113
Post, V. E. A., Bosserelle, A. L., Galvis, S. C., Sinclair, P. J., & Werner, A. D. (2018). On the resilience of small-island freshwater lenses: Evidence of the long-term impacts of groundwater abstraction on Bonriki Island, Kiribati. Journal of Hydrology, 564, 133–148. https://doi.org/10.1016/j.jhydrol.2018.06.015
Raeisi Isa-Abadi, A., Fontaine, V., Ghafouri, H. R., Younes, A., & Fahs, M. (2020). A fully interior penalty discontinuous Galerkin method for variable density groundwater flow problems. Computers & Fluids, 213, 104740. https:// doi.org/10.1016/j.compfluid.2020.104744
Raeisi Esbadi, A. (2016). Modeling of seawater intrusion in heterogeneous coastal aquifers using the discontinuous Galerkin method [Doctoral dissertation, Shahid Chamran University of Ahvaz].
Segol, G., Pinder, G. F., & Gray, W. G. (1975). A Galerkin-finite element technique for calculating the transient position of the saltwater front. Water Resources Research, 11(2), 343–347. https://doi.org/10.1029/WR011i002p00343
Sherif, M., & Singh, V. P. (1999). Effect of climate change on seawater intrusion in coastal aquifers. Hydrological Processes, 13(8), 1277–1287. https://doi.org/10.1002/(SICI)1099-1085(19990615)13:8<1277::AID-HYP765>3.0.CO;2-W
Simpson, M. J., & Clement, T. P. (2004). Improving the worthiness of the Henry problem as a benchmark for density-dependent groundwater flow models. Water Resources Research, 40(1), W01504. https://doi.org/10.1029/2003WR002199
Verhoest, N. E. C., & Troch, P. A. (2000). Some analytical solutions of the linearized Boussinesq equation with recharge for a sloping aquifer. Water Resources Research, 36(3), 793–800. https://doi.org/10.1029/2000WR900081
Verruijt, A. (1968). A note on the Ghyben-Herzberg formula. Bulletin of the International Association of Scientific Hydrology, 13(4), 43–46. https://doi.org/10.1080/02626666809493624
Weatherill, D., Simmons, C. T., Voss, C. I., & Robinson, N. I. (2004). Testing density-dependent groundwater models: Two-dimensional steady state unstable convection in infinite, finite, and inclined porous layers. Advances in Water Resources, 27(5), 547–562. https://doi.org/10.1016/j.advwatres.2004.01.003
Wentworth, C. K. (1948). Growth of the Ghyben-Herzberg transition zone under a rinsing hypothesis. Transactions, American Geophysical Union, 29(1), 97–98. https:// doi.org/10.1029/TR029i001p00097
White, I., Falkland, T., Perez, P., Dray, A., Metutera, T., Metai, E., & Overmars, M. (2007). Challenges in freshwater management in low coral atolls. Journal of Cleaner Production, 15(16), 1522–1528. https://doi.org/10.1016/j.jclepro.2006.07.051
Younes, A., & Fahs, M. (2013). A semi-analytical solution for the reactive Henry saltwater intrusion problem. Water, Air, & Soil Pollution, 224(11), 1731. https://doi.org/10.1007/s11270-013-1779-7
Younes, A., & Fahs, M. (2014). A semi-analytical solution for saltwater intrusion with a very narrow transition zone. Hydrogeology Journal, 22(2), 501–506. https://doi.org/10.1007/s10040-014-1102-8
Younes, A., & Fahs, M. (2015). Extension of the Henry semi-analytical solution for saltwater intrusion in stratified domains. Computational Geosciences, 19(6), 1207–1217. https:// doi.org/10.1007/s10596-015-9534-3
Younes, A., Fahs, M., & Ahmed, S. (2009). Solving density-driven flow problems with efficient spatial discretizations and higher-order time integration methods. Advances in Water Resources, 32(3), 340–352. https://doi.org/10.1016/j.advwatres.2008.11.003
Zidane, A., Younes, A., Huggenberger, P., & Zechner, E. (2012). The Henry semianalytical solution for saltwater intrusion with reduced dispersion. Water Resources Research, 48(6), W06533. https://doi.org/10.1029/2011WR011157
