TY - JOUR
T1 - Proposing mathematical model for seawater intrusion phenomena in the coastal aquifer
AU - Purnaditya, Ngakan Putu
AU - Soeryantono, Herr
AU - Marthanty, Dwinanti Rika
N1 - Publisher Copyright:
© The Authors, published by EDP Sciences, 2018.
PY - 2018/9/12
Y1 - 2018/9/12
N2 - Seawater intrusion is one of groundwater quality problem which in this problem, the mixing between freshwater and saltwater in the coastal aquifer occurs. Mathematical modelling can be formulated to describe the mechanism of this phenomena. The main objective of this research is to develop the mathematical model of groundwater flow and solute transport that applicable to seawater intrusion mechanism. This mechanism is arranged as a differential equation and distinguished into 3 equations. The first equation is groundwater flow equation in dependent-density. It means that the density of groundwater (ρ) changes in spatial and temporal domain due freshwater and seawater are mixed in the coastal aquifer. The second equation is solute transport. Like as groundwater flow equation, in solute transport equation there is a change of solute concentration (?) in the spatial and temporal domain. The last equation is the relationship between groundwater density (ρ) and solute concentration (?). Special case for the third equation, in which this equation is adopted from USGS Seawat model. The first equation and second equation are governed by Eulerian mass conservation law. The main theoretical consideration of governing groundwater flow equation is such as fluid and porous matrix compressibility theory, Darcy's law for groundwater in motion theory and some properties of soil. In other hands, solute transport is involving advection transport and hydrodynamic dispersion transport. Hydrodynamic dispersion is arranged by diffusion Fick's law and dispersion in porous media theory and it depends on transversal and longitudinal dispersivity. Using Jacob Bear's theory which states that fluid density as temperature, concentration and pressure function, authors obtain three primary variables in this model. Those variables follow fluid density (ρ), total head (h) and concentration (?). In this model, isotropic and isobar condition is considered, hence fluid density (ρ) is a function of concentration (?) only. Finally, from this research, authors wish this mathematical model is applicable to modelling, describing and predicting seawater intrusion phenomena theoretically.
AB - Seawater intrusion is one of groundwater quality problem which in this problem, the mixing between freshwater and saltwater in the coastal aquifer occurs. Mathematical modelling can be formulated to describe the mechanism of this phenomena. The main objective of this research is to develop the mathematical model of groundwater flow and solute transport that applicable to seawater intrusion mechanism. This mechanism is arranged as a differential equation and distinguished into 3 equations. The first equation is groundwater flow equation in dependent-density. It means that the density of groundwater (ρ) changes in spatial and temporal domain due freshwater and seawater are mixed in the coastal aquifer. The second equation is solute transport. Like as groundwater flow equation, in solute transport equation there is a change of solute concentration (?) in the spatial and temporal domain. The last equation is the relationship between groundwater density (ρ) and solute concentration (?). Special case for the third equation, in which this equation is adopted from USGS Seawat model. The first equation and second equation are governed by Eulerian mass conservation law. The main theoretical consideration of governing groundwater flow equation is such as fluid and porous matrix compressibility theory, Darcy's law for groundwater in motion theory and some properties of soil. In other hands, solute transport is involving advection transport and hydrodynamic dispersion transport. Hydrodynamic dispersion is arranged by diffusion Fick's law and dispersion in porous media theory and it depends on transversal and longitudinal dispersivity. Using Jacob Bear's theory which states that fluid density as temperature, concentration and pressure function, authors obtain three primary variables in this model. Those variables follow fluid density (ρ), total head (h) and concentration (?). In this model, isotropic and isobar condition is considered, hence fluid density (ρ) is a function of concentration (?) only. Finally, from this research, authors wish this mathematical model is applicable to modelling, describing and predicting seawater intrusion phenomena theoretically.
UR - http://www.scopus.com/inward/record.url?scp=85053772387&partnerID=8YFLogxK
U2 - 10.1051/matecconf/201819710003
DO - 10.1051/matecconf/201819710003
M3 - Conference article
AN - SCOPUS:85053772387
SN - 2261-236X
VL - 197
JO - MATEC Web of Conferences
JF - MATEC Web of Conferences
M1 - 10003
T2 - 3rd Annual Applied Science and Engineering Conference, AASEC 2018
Y2 - 18 April 2018
ER -