TY - JOUR
T1 - Two-dimensional semi-analytical solution of land-derived solute transport under tidal fluctuations considering variable boundary conditions on the seaward boundary
AU - Suk, Heejun
AU - Chen, Jui Sheng
AU - Park, Eungyu
AU - Han, Weon Shik
N1 - Publisher Copyright:
© 2022 Elsevier B.V.
PY - 2022/3
Y1 - 2022/3
N2 - Transport of contaminants in coastal aquifers subject to tidal fluctuations is an important topic and a growing problem due to increasing populations and development in coastal areas. Many studies have used variable boundary conditions to simulate transport behavior at the interface between seawater and groundwater. However, to the best of our knowledge, no analytical solution accounting for variable-concentration boundary conditions exists for plume migration of land-derived contaminants passing through the inland zone of aquifers under tidally induced periodic flow. Here, a two-dimensional (2D) semi-analytical solution for land-derived solute transport was developed with variable boundary conditions at the seaward boundary under tidal fluctuations. The proposed 2D semi-analytical solution was verified through comparison with an existing one-dimensional semi-analytical solution and a 2D numerical solution developed using the finite-element method. Sensitivity analysis was performed to explore factors including hydraulic properties, tidal amplitude, and the location and distribution of initial contaminants, which affect the characteristics of land-derived pollutant transport in coastal aquifers. Through comparison of the calculated masses remaining over time in the aquifer using the proposed semi-analytical solution under two types of variable boundary conditions (Dirichlet-Neumann and Cauchy-Neumann variable boundary conditions), we found that the Cauchy-Neumann variable boundary conditions reflected reality better than did the Dirichlet-Neumann variable boundary conditions. The proposed analytical solution will be useful for obtaining insights into the mechanisms that drive the plume behavior of contaminants such as radionuclides or toxic chemicals released into coastal aquifers of tidally affected systems.
AB - Transport of contaminants in coastal aquifers subject to tidal fluctuations is an important topic and a growing problem due to increasing populations and development in coastal areas. Many studies have used variable boundary conditions to simulate transport behavior at the interface between seawater and groundwater. However, to the best of our knowledge, no analytical solution accounting for variable-concentration boundary conditions exists for plume migration of land-derived contaminants passing through the inland zone of aquifers under tidally induced periodic flow. Here, a two-dimensional (2D) semi-analytical solution for land-derived solute transport was developed with variable boundary conditions at the seaward boundary under tidal fluctuations. The proposed 2D semi-analytical solution was verified through comparison with an existing one-dimensional semi-analytical solution and a 2D numerical solution developed using the finite-element method. Sensitivity analysis was performed to explore factors including hydraulic properties, tidal amplitude, and the location and distribution of initial contaminants, which affect the characteristics of land-derived pollutant transport in coastal aquifers. Through comparison of the calculated masses remaining over time in the aquifer using the proposed semi-analytical solution under two types of variable boundary conditions (Dirichlet-Neumann and Cauchy-Neumann variable boundary conditions), we found that the Cauchy-Neumann variable boundary conditions reflected reality better than did the Dirichlet-Neumann variable boundary conditions. The proposed analytical solution will be useful for obtaining insights into the mechanisms that drive the plume behavior of contaminants such as radionuclides or toxic chemicals released into coastal aquifers of tidally affected systems.
KW - Cauchy-Neumann variable boundary conditions
KW - Land-derived solute transport
KW - Proposed 2D semi-analytical solution
KW - Tidally induced
KW - Variable boundary conditions
UR - http://www.scopus.com/inward/record.url?scp=85123297676&partnerID=8YFLogxK
U2 - 10.1016/j.jhydrol.2022.127441
DO - 10.1016/j.jhydrol.2022.127441
M3 - 期刊論文
AN - SCOPUS:85123297676
SN - 0022-1694
VL - 606
JO - Journal of Hydrology
JF - Journal of Hydrology
M1 - 127441
ER -