Three-Dimensional Modelling of Heterogeneous Coastal Aquifer: Upscaling from Local Scale

The aquifer heterogeneity is often simplified while conceptualizing numerical model due to lack of field data. Conducting field measurements to estimate all the parameters at the aquifer scale may not be feasible. Therefore, it is essential to determine the most significant parameters which require...

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Main Authors: Priyanka B.N., M.S. Mohan Kumar
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/11/3/421
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spelling doaj-b6ca7487924a44489740388276f3bc812020-11-24T21:35:22ZengMDPI AGWater2073-44412019-02-0111342110.3390/w11030421w11030421Three-Dimensional Modelling of Heterogeneous Coastal Aquifer: Upscaling from Local ScalePriyanka B.N.0M.S. Mohan Kumar1Department of Civil Engineering, Indian Institute of Science, Bengaluru 560 012, IndiaDepartment of Civil Engineering, Indian Institute of Science, Bengaluru 560 012, IndiaThe aquifer heterogeneity is often simplified while conceptualizing numerical model due to lack of field data. Conducting field measurements to estimate all the parameters at the aquifer scale may not be feasible. Therefore, it is essential to determine the most significant parameters which require field characterization. For this purpose, the sensitivity analysis is performed on aquifer parameters, viz., anisotropic hydraulic conductivity, effective porosity and longitudinal dispersivity. The results of the sensitivity index and root mean square deviation indicated, that the longitudinal dispersivity and anisotropic hydraulic conductivity are the sensitive aquifer parameters to evaluate seawater intrusion in the study area. The sensitive parameters are further characterized at discrete points or at local scale by using regression analysis. The longitudinal dispersivity is estimated at discrete well points based on Xu and Eckstein regression formula. The anisotropic hydraulic conductivity is estimated based on established regression relationship between hydraulic conductivity and electrical resistivity with R<sup>2</sup> of 0.924. The estimated hydraulic conductivity in <i>x</i> and <i>y</i>-direction are upscaled by considering the heterogeneous medium as statistically homogeneous at each layer. The upscaled model output is compared with the transversely isotropic model output. The bias error and root mean square error indicated that the upscaled model performed better than the transversely isotropic model. Thus, this investigation demonstrates the necessity of considering spatial heterogeneous parameters for effective modelling of the seawater intrusion in a layered coastal aquifer.https://www.mdpi.com/2073-4441/11/3/421heterogeneitylongitudinal dispersivityanisotropic hydraulic conductivityintrinsic upscalingnumerical modelling
collection DOAJ
language English
format Article
sources DOAJ
author Priyanka B.N.
M.S. Mohan Kumar
spellingShingle Priyanka B.N.
M.S. Mohan Kumar
Three-Dimensional Modelling of Heterogeneous Coastal Aquifer: Upscaling from Local Scale
Water
heterogeneity
longitudinal dispersivity
anisotropic hydraulic conductivity
intrinsic upscaling
numerical modelling
author_facet Priyanka B.N.
M.S. Mohan Kumar
author_sort Priyanka B.N.
title Three-Dimensional Modelling of Heterogeneous Coastal Aquifer: Upscaling from Local Scale
title_short Three-Dimensional Modelling of Heterogeneous Coastal Aquifer: Upscaling from Local Scale
title_full Three-Dimensional Modelling of Heterogeneous Coastal Aquifer: Upscaling from Local Scale
title_fullStr Three-Dimensional Modelling of Heterogeneous Coastal Aquifer: Upscaling from Local Scale
title_full_unstemmed Three-Dimensional Modelling of Heterogeneous Coastal Aquifer: Upscaling from Local Scale
title_sort three-dimensional modelling of heterogeneous coastal aquifer: upscaling from local scale
publisher MDPI AG
series Water
issn 2073-4441
publishDate 2019-02-01
description The aquifer heterogeneity is often simplified while conceptualizing numerical model due to lack of field data. Conducting field measurements to estimate all the parameters at the aquifer scale may not be feasible. Therefore, it is essential to determine the most significant parameters which require field characterization. For this purpose, the sensitivity analysis is performed on aquifer parameters, viz., anisotropic hydraulic conductivity, effective porosity and longitudinal dispersivity. The results of the sensitivity index and root mean square deviation indicated, that the longitudinal dispersivity and anisotropic hydraulic conductivity are the sensitive aquifer parameters to evaluate seawater intrusion in the study area. The sensitive parameters are further characterized at discrete points or at local scale by using regression analysis. The longitudinal dispersivity is estimated at discrete well points based on Xu and Eckstein regression formula. The anisotropic hydraulic conductivity is estimated based on established regression relationship between hydraulic conductivity and electrical resistivity with R<sup>2</sup> of 0.924. The estimated hydraulic conductivity in <i>x</i> and <i>y</i>-direction are upscaled by considering the heterogeneous medium as statistically homogeneous at each layer. The upscaled model output is compared with the transversely isotropic model output. The bias error and root mean square error indicated that the upscaled model performed better than the transversely isotropic model. Thus, this investigation demonstrates the necessity of considering spatial heterogeneous parameters for effective modelling of the seawater intrusion in a layered coastal aquifer.
topic heterogeneity
longitudinal dispersivity
anisotropic hydraulic conductivity
intrinsic upscaling
numerical modelling
url https://www.mdpi.com/2073-4441/11/3/421
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