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Accurate overland runoff and infiltration predictions are critical for effective water resources management, in particular for urban flood management. However, the inherent uncertainty in rainfall patterns, soil properties, and initial…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Mohamad H. Kazma , Ahmad F. Taha

We consider Bayesian inference for large scale inverse problems, where computational challenges arise from the need for repeated evaluations of an expensive forward model. This renders most Markov chain Monte Carlo approaches infeasible,…

Numerical Analysis · Mathematics 2022-08-12 Daniel Zhengyu Huang , Jiaoyang Huang , Sebastian Reich , Andrew M. Stuart

Analytical and semi-analytical models for stream depletion with transient stream stage drawdown induced by groundwater pumping are developed to address a deficiency in existing models, namely, the use of a fixed stream stage condition at…

Fluid Dynamics · Physics 2024-07-17 Bwalya Malama , Ying-Fan Lin , Kristopher L. Kuhlman

We consider the management of sloping, long and thin, coastal aquifers. We first develop a simple mathematical model, based on Darcy flow for porous media, which gives the water table height, and the flow velocity as a function of the…

Effective water resource management depends on accurate projections of flows in water channels. For projected climate data, use of different General Circulation Models (GCM) simulates contrasting results. This study shows selection of GCM…

Atmospheric and Oceanic Physics · Physics 2026-02-16 Saad Ahmed Jamal , Ammara Nusrat , Muhammad Azmat , Muhammad Osama Nusrat

The impact of statistical methodologies on studying groundwater has been significant in the last several decades, due to cheaper computational abilities and presence of technologies that enable us to extract and measure more and more data.…

Applications · Statistics 2025-06-02 Muralidharan K. , Agniva Das , Shrey Pandya , Jong Min Kim

There has been active investigation into deep learning approaches for time series analysis, including foundation models. However, most studies do not address significant scientific applications. This paper aims to identify key features in…

Machine Learning · Computer Science 2025-09-22 Junyang He , Ying-Jung Chen , Alireza Jafari , Anushka Idamekorala , Geoffrey Fox

Spatio-temporal prediction of levels of an environmental exposure is an important problem in environmental epidemiology. Our work is motivated by multiple studies on the spatio-temporal distribution of mobile source, or traffic related,…

Applications · Statistics 2014-11-14 Nikolay Bliznyuk , Christopher J. Paciorek , Joel Schwartz , Brent Coull

The use of numerical based multi-phase fluid flow simulation can significantly aid in the development of an effective remediation strategy for groundwater systems contaminated with Dense Non Aqueous Phase Liquid (DNAPL). Incorporating the…

Numerical Analysis · Mathematics 2023-08-15 Shikhar Nilabh , Fidel Grandia

Geophysical methods offer several key advantages over conventional subsurface measurement approaches, yet their use for hydrologic interpretation is often problematic. Here, we introduce theory and concepts of a novel Bayesian approach for…

Geophysics · Physics 2017-01-09 N. Linde , J. A. Vrugt

Means to increase water resources are essential in regions grappling with water scarcity and growing populations. Soil aquifer treatment (SAT) is a cheap, low maintenance, low-energy method to supply water for irrigation of crops consumed…

Geophysics · Physics 2024-03-26 Roy Elkayam , Ovadia Lev

Bayesian analysis is widely used in science and engineering for real-time forecasting, decision making, and to help unravel the processes that explain the observed data. These data are some deterministic and/or stochastic transformations of…

Optimization and Control · Mathematics 2020-02-24 Jiangjiang Zhang , Jasper A. Vrugt , Xiaoqing Shi , Guang Lin , Lingzao Zeng , Laosheng Wu

State-space models are successfully used in many areas of science, engineering and economics to model time series and dynamical systems. We present a fully Bayesian approach to inference \emph{and learning} (i.e. state estimation and system…

Machine Learning · Statistics 2013-12-18 Roger Frigola , Fredrik Lindsten , Thomas B. Schön , Carl E. Rasmussen

Uncertainty quantification of groundwater (GW) aquifer parameters is critical for efficient management and sustainable extraction of GW resources. These uncertainties are introduced by the data, model, and prior information on the…

Geophysics · Physics 2021-12-08 Amal Alghamdi , Marc Hesse , Jingyi Chen , Umberto Villa , Omar Ghattas

There has been growing interest in extending the coverage of ground PM2.5 monitoring networks based on satellite remote sensing data. With broad spatial and temporal coverage, satellite based monitoring network has a strong potential to…

Applications · Statistics 2018-09-14 Yikai Wang , Xuefei Hu , Howard Chang , Lance Waller , Jessica Belle , Yang Liu

Extreme floods cause casualties, and widespread damage to property and vital civil infrastructure. We here propose a Bayesian approach for predicting extreme floods using the generalized extreme-value (GEV) distribution within gauged and…

Predicting river flow in places without streamflow records is challenging because basins respond differently to climate, terrain, vegetation, and soils. Traditional basin attributes describe some of these differences, but they cannot fully…

Machine Learning · Computer Science 2026-01-06 Pengfei Qu , Wenyu Ouyang , Chi Zhang , Yikai Chai , Shuolong Xu , Lei Ye , Yongri Piao , Miao Zhang , Huchuan Lu

Groundwater age has become a fundamental concept in groundwater hydrology, but ages originating from isotopic analyses are still identified with a lack of clarity and using models that occasionally are unrealistic. If the effect of…

Geophysics · Physics 2011-11-15 F. J. Cornaton , Y. -J. Park , E. Deleersnijder

Characterizing the properties of groundwater aquifers is essential for predicting aquifer response and managing groundwater resources. In this work, we develop a high-dimensional scalable Bayesian inversion framework governed by a…

Geophysics · Physics 2020-12-02 Amal Alghamdi , Marc A. Hesse , Jingyi Chen , Omar Ghattas

Precipitation exceedance probabilities are widely used in engineering design, risk assessment, and floodplain management. While common approaches like NOAA Atlas 14 assume that extreme precipitation characteristics are stationary over time,…

Applications · Statistics 2025-02-05 Yuchen Lu , Ben Seiyon Lee , James Doss-Gollin