A general methodology to simulate groundwater flow of unconfined aquifers with a reduced computational cost

Pulido-Velázquez, David; Sahuquillo, Andrés; Andreu, Joaquín; Pulido-Velázquez, Manuel

doi:10.1016/j.jhydrol.2007.02.009

Cited by 30 publications

(14 citation statements)

References 22 publications

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“…Eigenvalue techniques are also available (Sahuquillo, 1983) and have been successfully applied to confined systems (Anreu and Sahuquillo, 1987) and linearized-unconfined systems by assuming a time-invariant transmissivity. Improvements have been made to the eigenvalue approach by allowing time-variant reference levels (Pulido-Velazquez et al, 2007) and nonlinear boundary conditions (Pulido-Velazquez et al, 2009). Unit response matrices and eigenvalue techniques are capable of simplifying complex problems for greater computational efficiency.…”

Section: Introductionmentioning

confidence: 99%

Mason Valley Groundwater Model: Linking Surface Water and Groundwater in the Walker River Basin, Nevada¹

Carroll

Pohll

McGraw

et al. 2010

J American Water Resour Assoc

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Carroll, Rosemary W.H., Greg Pohll, David McGraw, Chris Garner, Anna Knust, Doug Boyle, Tim Minor, Scott Bassett, and Karl Pohlmann, 2010. Mason Valley Groundwater Model: Linking Surface Water and Groundwater in the Walker River Basin, Nevada. Journal of the American Water Resources Association (JAWRA) 46(3):554‐573. DOI: http://dx.doi.org/10.1111/j.1752-1688.2010.00434.x Abstract: An integrated surface water and groundwater model of Mason Valley, Nevada is constructed to replicate the movement of water throughout the different components of the demand side of water resources in the Walker River system. The Mason Valley groundwater surface water model (MVGSM) couples the river/drain network with agricultural demand areas and the groundwater system using MODFLOW, MODFLOW’s streamflow routing package, as well as a surface water linking algorithm developed for the project. The MVGSM is capable of simulating complex feedback mechanisms between the groundwater and surface water system that is not dependent on linearity among the related variables. The spatial scale captures important hydrologic components while the monthly stress periods allow for seasonal evaluation. A simulation spanning an 11‐year record shows the methodology is robust under diverse climatic conditions. The basin‐wide modeling approach predicts a river system generally gaining during the summer irrigation period but losing during winter months and extended periods of drought. River losses to the groundwater system approach 25% of the river’s annual budget. Reducing diversions to hydrologic response units will increase river flows exiting the model domain, but also has the potential to increase losses from the river to groundwater storage.

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Section: Introductionmentioning

confidence: 99%

Mason Valley Groundwater Model: Linking Surface Water and Groundwater in the Walker River Basin, Nevada¹

Carroll

Pohll

McGraw

et al. 2010

J American Water Resour Assoc

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“…It has computational advantages and has been employed to model the management of complex conjunctive use systems with monthly stress periods using the decision support system, AQUATOOL (Andreu et al , 1996). These computational advantages have been stated and analyzed in different papers published earlier (Andreu and Sahuquillo, 1987; Pulido‐Velazquez et al , 2007b). They are: …”

Section: Introductionmentioning

confidence: 91%

A conceptual–numerical model to simulate hydraulic head in aquifers that are hydraulically connected to surface water bodies

Pulido-Velázquez

Sahuquillo

Andreu

2011

Hydrological Processes

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Abstract:In this paper, we present a conceptual-numerical model that can be deduced from a calibrated finite difference groundwaterflow model, which provides a parsimonious approach to simulate and analyze hydraulic heads and surface water body-aquifer interaction for linear aquifers (linear response of head to stresses). The solution of linear groundwater-flow problems using eigenvalue techniques can be formulated with a simple explicit state equation whose structure shows that the surface water body-aquifer interaction phenomenon can be approached as the drainage of a number of independent linear reservoirs. The hydraulic head field could be also approached by the summation of the head fields, estimated for those reservoirs, defined over the same domain set by the aquifer limits, where the hydraulic head field in each reservoir is proportional to a specific surface (an eigenfunction of an eigenproblem, or an eigenvector in discrete cases). All the parameters and initial conditions of each linear reservoir can be mathematically defined in a univocal way from the calibrated finite difference model, preserving its characteristics (geometry, boundary conditions, hydrodynamic parameters (heterogeneity), and spatial distribution of the stresses). We also demonstrated that, in practical cases, an accurate solution can be obtained with a reduced number of linear reservoirs. The reduced computational cost of these solutions can help to integrate the groundwater component within conjunctive use management models. Conceptual approximation also facilitates understanding of the physical phenomenon and analysis of the factors that influence it. A simple synthetic aquifer has been employed to show how the conceptual model can be built for different spatial discretizations, the parameters required, and their influence on the simulation of hydraulic head fields and stream-aquifer flow exchange variables. A real-world case was also solved to test the accuracy of the proposed approaches, by comparing its solution with that obtained using finite-difference MODFLOW code.

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“…But for hydroeconomic models using optimization approaches, the potential non-linearities of stream-aquifer interactions, unconfined aquifers or pumping cost functions, introduces difficulties in solving the model and in the verification that the solution is globally optimal. Several researchers have overcome these difficulties in particular modeling efforts (Reichard 1987;Pulido-Velazquez et al 2006, 2007b. Still it is a barrier in practice as these are specialty methods known to few practitioners.…”

Section: Challenges Benefits and Future Directionsmentioning

confidence: 99%

Hydroeconomic Models as Decision Support Tools for Conjunctive Management of Surface and Groundwater

Pulido-Velázquez

Marques

Harou

et al. 2016

Integrated Groundwater Management

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Conjunctive use (CU) of surface and groundwater storage and supplies is essential for integrated water management. It is also a key strategy for supporting groundwater-dependent ecosystems, and for adapting water systems to future climate and land use changes. CU has become increasingly sophisticated and integrated with other innovative and traditional water management techniques, such as water transfers, water reuse, demand management, and aquifer remediation. CU adds value for society (increasing average yield and reliability) but can also induce costs to some parties, such as damaging senior water rights of surface water users when pumping from the aquifer reduces streamflow. Groundwater overexploitation also can produce a host of undesirable economic and environmental impacts. Successful CU implementation typically requires changes in infrastructure and operations, but also changes in institutions and institutional arrangements to offset potential third party costs and protect ecosystems. This chapter analyses first the management and economic implications of CU,

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A general methodology to simulate groundwater flow of unconfined aquifers with a reduced computational cost

Cited by 30 publications

References 22 publications

Mason Valley Groundwater Model: Linking Surface Water and Groundwater in the Walker River Basin, Nevada¹

Mason Valley Groundwater Model: Linking Surface Water and Groundwater in the Walker River Basin, Nevada¹

A conceptual–numerical model to simulate hydraulic head in aquifers that are hydraulically connected to surface water bodies

Hydroeconomic Models as Decision Support Tools for Conjunctive Management of Surface and Groundwater

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A general methodology to simulate groundwater flow of unconfined aquifers with a reduced computational cost

Cited by 30 publications

References 22 publications

Mason Valley Groundwater Model: Linking Surface Water and Groundwater in the Walker River Basin, Nevada1

Mason Valley Groundwater Model: Linking Surface Water and Groundwater in the Walker River Basin, Nevada1

A conceptual–numerical model to simulate hydraulic head in aquifers that are hydraulically connected to surface water bodies

Hydroeconomic Models as Decision Support Tools for Conjunctive Management of Surface and Groundwater

Contact Info

Product

Resources

About

Mason Valley Groundwater Model: Linking Surface Water and Groundwater in the Walker River Basin, Nevada¹

Mason Valley Groundwater Model: Linking Surface Water and Groundwater in the Walker River Basin, Nevada¹