Aquifer-wide estimation of longitudinal dispersivity by the combination of empirical equations, inverse solution, and aquifer zoning methods

Abstract Longitudinal dispersivity is a crucial parameter for the numerical simulation of groundwater quality, which is highly variable. The use of empirical equations and the inverse solution are two main methods of estimating longitudinal dispersivity. This study investigates the estimation of val...

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Main Authors: Mohammad-Mahdi Ansarifar, Meysam Salarijazi, Khalil Ghorbani, Abdol-Reza Kaboli
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Applied Water Science
Subjects:
Online Access:https://doi.org/10.1007/s13201-022-01825-x
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author Mohammad-Mahdi Ansarifar
Meysam Salarijazi
Khalil Ghorbani
Abdol-Reza Kaboli
author_facet Mohammad-Mahdi Ansarifar
Meysam Salarijazi
Khalil Ghorbani
Abdol-Reza Kaboli
author_sort Mohammad-Mahdi Ansarifar
collection DOAJ
description Abstract Longitudinal dispersivity is a crucial parameter for the numerical simulation of groundwater quality, which is highly variable. The use of empirical equations and the inverse solution are two main methods of estimating longitudinal dispersivity. This study investigates the estimation of value and aquifer-wide spatial distribution of longitudinal dispersivity parameters using a combination of the empirical equation, the inverse solution method, and the aquifer zoning technique. The combined approach is applied to Bandar-e-Gaz aquifer in northern Iran, and Willmott’s index of agreement was used to assess the simulation precision of total dissolved solids in this aquifer. The values of this criterion were 0.9985–0.9999 and 0.9756–0.9992 in calibration and validation periods showing the developed combined approach obtained high precision for both calibration and validation periods, and the simulation shows remarkable consistency. Also, the one-way sensitivity analysis indicates that the longitudinal dispersivity is more sensitive than the effective porosity in this simulation. The investigation of the spatial distribution of the estimated longitudinal dispersivity by the combined approach indicates that the value of the parameter has a decreasing trend from the south to the north (50–8 m) in the aquifer environment, which is consistent with the changes in the characteristics of porous media in this study area. Therefore, it concludes that the combined approach provides a reliable and appropriate estimation of the spatial distribution of longitudinal dispersivity.
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spelling doaj.art-61b241454afa4e958d4b7ffbd3a0f05f2022-12-22T02:55:08ZengSpringerOpenApplied Water Science2190-54872190-54952022-11-0113111210.1007/s13201-022-01825-xAquifer-wide estimation of longitudinal dispersivity by the combination of empirical equations, inverse solution, and aquifer zoning methodsMohammad-Mahdi Ansarifar0Meysam Salarijazi1Khalil Ghorbani2Abdol-Reza Kaboli3Gorgan University of Agricultural Sciences and Natural ResourcesGorgan University of Agricultural Sciences and Natural ResourcesGorgan University of Agricultural Sciences and Natural ResourcesGolestan Regional Water CompanyAbstract Longitudinal dispersivity is a crucial parameter for the numerical simulation of groundwater quality, which is highly variable. The use of empirical equations and the inverse solution are two main methods of estimating longitudinal dispersivity. This study investigates the estimation of value and aquifer-wide spatial distribution of longitudinal dispersivity parameters using a combination of the empirical equation, the inverse solution method, and the aquifer zoning technique. The combined approach is applied to Bandar-e-Gaz aquifer in northern Iran, and Willmott’s index of agreement was used to assess the simulation precision of total dissolved solids in this aquifer. The values of this criterion were 0.9985–0.9999 and 0.9756–0.9992 in calibration and validation periods showing the developed combined approach obtained high precision for both calibration and validation periods, and the simulation shows remarkable consistency. Also, the one-way sensitivity analysis indicates that the longitudinal dispersivity is more sensitive than the effective porosity in this simulation. The investigation of the spatial distribution of the estimated longitudinal dispersivity by the combined approach indicates that the value of the parameter has a decreasing trend from the south to the north (50–8 m) in the aquifer environment, which is consistent with the changes in the characteristics of porous media in this study area. Therefore, it concludes that the combined approach provides a reliable and appropriate estimation of the spatial distribution of longitudinal dispersivity.https://doi.org/10.1007/s13201-022-01825-xSpatial distributionMT3DMSSimulationGroundwater
spellingShingle Mohammad-Mahdi Ansarifar
Meysam Salarijazi
Khalil Ghorbani
Abdol-Reza Kaboli
Aquifer-wide estimation of longitudinal dispersivity by the combination of empirical equations, inverse solution, and aquifer zoning methods
Applied Water Science
Spatial distribution
MT3DMS
Simulation
Groundwater
title Aquifer-wide estimation of longitudinal dispersivity by the combination of empirical equations, inverse solution, and aquifer zoning methods
title_full Aquifer-wide estimation of longitudinal dispersivity by the combination of empirical equations, inverse solution, and aquifer zoning methods
title_fullStr Aquifer-wide estimation of longitudinal dispersivity by the combination of empirical equations, inverse solution, and aquifer zoning methods
title_full_unstemmed Aquifer-wide estimation of longitudinal dispersivity by the combination of empirical equations, inverse solution, and aquifer zoning methods
title_short Aquifer-wide estimation of longitudinal dispersivity by the combination of empirical equations, inverse solution, and aquifer zoning methods
title_sort aquifer wide estimation of longitudinal dispersivity by the combination of empirical equations inverse solution and aquifer zoning methods
topic Spatial distribution
MT3DMS
Simulation
Groundwater
url https://doi.org/10.1007/s13201-022-01825-x
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