Juan Chiach�o
A Bayesian Assessment of an Approximate Model for Unconfined Water Flow in Sloping Layered Porous Media
Chiach�o, Juan; Chiach�o, Manuel; Sankararaman, Shankar; Prescott, Darren
Authors
Manuel Chiach�o
Shankar Sankararaman
DARREN PRESCOTT Darren.Prescott@nottingham.ac.uk
Assistant Professor
Abstract
© 2018, The Author(s). The prediction of water table height in unconfined layered porous media is a difficult modelling problem that typically requires numerical simulation.This paper proposes an analytical model to approximate the exact solution based on a steady-state Dupuit–Forchheimer analysis.The key contribution in relation to a similar model in the literature relies in the ability of the proposed model to consider more than two layers with different thicknesses and slopes, so that the existing model becomes a special case of the proposed model herein.In addition, a model assessment methodology based on the Bayesian inverse problem is proposed to efficiently identify the values of the physical parameters for which the proposed model is accurate when compared against a reference model given by MODFLOW-NWT, the open-source finite-difference code by the U.S. Geological Survey.Based on numerical results for a representative case study, the ratio of vertical recharge rate to hydraulic conductivity emerges as a key parameter in terms of model accuracy so that, when appropriately bounded, both the proposed model and MODFLOW-NWT provide almost identical results.
Citation
Chiachío, J., Chiachío, M., Sankararaman, S., & Prescott, D. (2019). A Bayesian Assessment of an Approximate Model for Unconfined Water Flow in Sloping Layered Porous Media. Transport in Porous Media, 126(1), 177-197. https://doi.org/10.1007/s11242-018-1094-2
Journal Article Type | Article |
---|---|
Acceptance Date | May 24, 2018 |
Online Publication Date | Jun 9, 2018 |
Publication Date | Jan 15, 2019 |
Deposit Date | Jun 19, 2018 |
Publicly Available Date | Mar 29, 2024 |
Journal | Transport in Porous Media |
Print ISSN | 0169-3913 |
Electronic ISSN | 1573-1634 |
Publisher | Springer Verlag |
Peer Reviewed | Peer Reviewed |
Volume | 126 |
Issue | 1 |
Pages | 177-197 |
DOI | https://doi.org/10.1007/s11242-018-1094-2 |
Keywords | Dupuit–Forchheimer analysis; Layered porous media; Bayesian hypothesis testing; Railway track drainage; General Chemical Engineering; Catalysis |
Public URL | https://nottingham-repository.worktribe.com/output/936848 |
Publisher URL | https://link.springer.com/article/10.1007%2Fs11242-018-1094-2 |
Additional Information | Received: 30 November 2017; Accepted: 24 May 2018; First Online: 9 June 2018 |
Files
Water final 10.1007_s11242-018-1094-2.pdf
(1.1 Mb)
PDF
Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0
Water final 10.1007_s11242-018-1094-2.pdf
(1.2 Mb)
PDF
Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0
You might also like
Fault Tree to Petri Net Conversion for the Analysis of a Standby System
(2023)
Presentation / Conference
A methodology for railway track maintenance modelling using Plausible Petri nets
(2018)
Presentation / Conference
Modelling adaptive systems using plausible Petri nets
(2018)
Conference Proceeding
A knowledge-based prognostics framework for railway track geometry degradation
(2018)
Journal Article
Downloadable Citations
About Repository@Nottingham
Administrator e-mail: digital-library-support@nottingham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search