On the Use of Information Theory to Quantify Parameter Uncertainty in Groundwater Modeling

Noronha, Alston; Lee, Jejung

doi:10.3390/e15062398

Cited by 3 publications

(2 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A significant amount of work has been done on the issue of upscaling [8][9][10][11][12][13][14][15][16][17][18]. Hydrologists need ways to provide modeling properties at larger scales that appropriately represent the numerous smaller scale variations present in natural heterogeneous systems [16,[19][20][21][22][23]. While the work presented here is closely related to the scale-up problem, it does not directly extend previous work done in this area.…”

Section: Introductionmentioning

confidence: 99%

Bounding of Flow and Transport Analysis in Heterogeneous Saturated Porous Media: A Minimum Energy Dissipation Principle for the Bounding and Scale-Up

Nelson¹,

Williams

2019

Hydrology

View full text Add to dashboard Cite

We apply minimum kinetic energy principles from classic mechanics to heterogeneous porous media flow equations to derive and evaluate rotational flow components to determine bounding homogenous representations. Kelvin characterized irrotational motions in terms of energy dissipation and showed that minimum dynamic energy dissipation occurs if the motion is irrotational; i.e., a homogeneous flow system. For porous media flow, reductions in rotational flow represent heterogeneity reductions. At the limit, a homogeneous system, flow is irrotational. Using these principles, we can find a homogenous system that bounds a more complex heterogeneous system. We present mathematics for using the minimum energy principle to describe flow in heterogeneous porous media along with reduced special cases with the necessary bounding and associated scale-up equations. The first, simple derivation involves no boundary differences and gives results based on direct Kelvin-type minimum energy principles. It provides bounding criteria, but yields only a single ultimate scale-up. We present an extended derivation that considers differing boundaries, which may occur between scale-up elements. This approach enables a piecewise less heterogeneous representation to bound the more heterogeneous system. It provides scale-up flexibility for individual model elements with differing sizes, and shapes and supports a more accurate representation of material properties. We include a case study to illustrate bounding with a single direct scale-up. The case study demonstrates rigorous bounding and provides insight on using bounding flow to help understand heterogeneous systems. This work provides a theoretical basis for developing bounding models of flow systems. This provides a means to justify bounding conditions and results.

show abstract

Section: Introductionmentioning

confidence: 99%

Bounding of Flow and Transport Analysis in Heterogeneous Saturated Porous Media: A Minimum Energy Dissipation Principle for the Bounding and Scale-Up

Nelson¹,

Williams

2019

Hydrology

View full text Add to dashboard Cite

show abstract

“…The development and application of a groundwater model is a common practice for the management of groundwater resources [7]. Many scientific efforts have been made to develop more comprehensive and computationally efficient models involving complex hydrogeologic processes [8,9]. In many numerical models of a groundwater aquifer, for example, Feflow and MODFLOW, the continuous domain of groundwater system is replaced by a discretized grid network and the governing groundwater flow equation is solved at the network nodes.…”

Section: Introductionmentioning

confidence: 99%

Appraisal of Groundwater Flow Simulation in the Sub- Himalayan Watershed of Pakistan

Ahmad¹,

Ashraf²,

Hafeez³

2016

Groundwater - Contaminant and Resource Management

View full text Add to dashboard Cite

Numerical modeling of an aquifer is increasingly used as a power tool for monitoring and management of groundwater. This paper focuses on conceptualizing hydrogeological condition and establishing numerical simulation model using Visual MOD-FLOW to simulate the continuous depletion of groundwater in the southwestern part of the Soan watershed in Pakistan. An integrated groundwater modeling and management approach was adopted to provide suitable alternatives for water management in different hydro-environments. Geospatial techniques were employed for spatial database development, integration with a remote sensing (RS), and numerical groundwater flow modeling capabilities to simulate groundwater flow behavior. The calibration results indicated a reasonable agreement between the calculated and observed heads. The calibrated heads were used as initial conditions in the transientstate modeling. The modeling approach facilitated in identifying potential groundwater regime besides providing artificial recharge options for sustainable groundwater development.

show abstract

Estimation of parameters in groundwater modelling by modified Clonalg

Eryiğit

2021

Journal of Hydroinformatics

View full text Add to dashboard Cite

The purpose of this study was to improve the optimization model for predicting more parameters in more difficult conditions (more grid cell numbers and high time interval numbers) than other studies in groundwater flow modelling. Also, the model needs fewer observation numbers for estimating parameters than other studies. In the present study, an optimization model based on model calibration was developed to estimate simultaneously four groundwater flow parameters – hydraulic conductivity, transmissivity, storage coefficient and leakance. The modified clonal selection algorithm, a class of artificial immune systems, was used as a heuristic optimization method. In order to simulate the groundwater flow, MODFLOW was used in conjunction with the model in MATLAB. The input files for MODFLOW were obtained by GMS groundwater simulator. The model was applied to two different hypothetical groundwater systems (two- and three-dimensional) under transient conditions to evaluate its performance. The results showed that the model was feasible for groundwater flow modelling and it could determine the groundwater flow parameters successfully with less observations and more grid cell numbers than the other studies.

show abstract

On the Use of Information Theory to Quantify Parameter Uncertainty in Groundwater Modeling

Cited by 3 publications

References 19 publications

Bounding of Flow and Transport Analysis in Heterogeneous Saturated Porous Media: A Minimum Energy Dissipation Principle for the Bounding and Scale-Up

Bounding of Flow and Transport Analysis in Heterogeneous Saturated Porous Media: A Minimum Energy Dissipation Principle for the Bounding and Scale-Up

Appraisal of Groundwater Flow Simulation in the Sub- Himalayan Watershed of Pakistan

Estimation of parameters in groundwater modelling by modified Clonalg

Contact Info

Product

Resources

About