Sensitivity and uncertainty analysis of the recharge boundary condition

Jyrkama, Mikko I.; Sykes, J. F.

doi:10.1029/2005wr004408

Cited by 17 publications

(6 citation statements)

References 35 publications

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“…For not-colocated pumped and observation wells, both wells were shown to have the same importance with respect to spatial sensitivity, which confirmed previous results obtained by Leven [22]. The sensitivity of a groundwater flow system to the recharge boundary condition prescribed at the top boundary of a fully saturated groundwater flow model was investigated by Jyrkama and Sykes [25] by means of the adjoint method.…”

Section: Introductionsupporting

confidence: 79%

Sensitivity analysis of two-dimensional steady-state aquifer flow equations. Implications for groundwater flow model calibration and validation

Mazzilli¹,

Guinot²,

Jourde³

2010

Advances in Water Resources

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International audienceThis paper presents the analytical properties of the sensitivity of the two-dimensional, steady-state groundwater flow equation to the flow parameters and to the boundary conditions, based on the perturbation approach. These analytical properties are used to provide guidelines for model design, model calibration and monitoring network design. The sensitivity patterns are shown to depend on the nature of both the perturbed parameter and the variable investigated. Indeed, the sensitivity of the hydraulic head to the hydraulic conductivity extends mainly in the flow direction, while the sensitivity to the recharge spreads radially. Besides, the sensitivity of the flow longitudinal velocity to the hydraulic conductivity propagates in both the longitudinal and transverse directions, whereas the sensitivity of the flow transverse velocity propagates in the diagonal directions to the flow. The analytical results are confirmed by application examples on idealized and real-world simulations. These analytical findings allow some general rules to be established for model design, model calibration and monitoring network design. In particular, the optimal location of measurement points depends on the nature of the variable of interest. Measurement network design thus proves to be problem-dependent. Moreover, adequate monitoring well network design may allow to discriminate between the possible sources of error

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Section: Introductionsupporting

confidence: 79%

Sensitivity analysis of two-dimensional steady-state aquifer flow equations. Implications for groundwater flow model calibration and validation

Mazzilli¹,

Guinot²,

Jourde³

2010

Advances in Water Resources

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“…For example, the recharge boundary in nearly all groundwater models is assumed to be either spatially uniform across the top of the numerical mesh or is subdivided into a number of uniform recharge zones. Moreover, as was discussed by Jyrkama and Sykes [2006], the recharge flux of each zone is often determined during the calibration process and seldom calculated explicitly. Even in cases where the spatially varying recharge rate is determined explicitly using site specific land use, soil property, temperature and precipitation rate information, it is still necessary to temporally lump the calculated rate into daily or greater increments [e.g., see Jyrkama et al , 2002].…”

Section: Summary and Discussionmentioning

confidence: 99%

Application of a fully‐integrated surface‐subsurface flow model at the watershed‐scale: A case study

Jones

Sudicky

McLaren

2008

Water Resources Research

127

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[1] Results are presented in which a physically-based, three-dimensional model that fully integrates surface and variably-saturated subsurface flow processes is applied to the 75 km 2 Laurel Creek Watershed within the Grand River basin in Southern Ontario, Canada. The primary objective of this study is to gauge the model's ability to reproduce surface and subsurface hydrodynamic processes at the watershed scale. Our objective was first accomplished by calibrating the steady-state subsurface portion of the system to 50 observation wells where hydraulic head data were available, while simultaneously matching the stream baseflow discharge. The level of agreement between the observed and computed subsurface hydraulic head values, baseflow discharge and the spatial pattern of the surface drainage network indicates that the model captures the essence of the surfacesubsurface hydraulic characteristics of the watershed. The calibrated model is then subjected to two time series of input rainfall data and the calculated discharge hydrographs are compared to the observed rainfall-runoff responses. The calculated and observed rainfall-runoff responses were shown to agree moderately well for both rainfall data series that were utilized. Additionally, the spatial and temporal responses of the watershed with respect to the overland flow areas contributing to streamflow and the surface-subsurface exchange fluxes across the land surface during rainfall inundation and subsequent drainage phases demonstrate the dynamic nature of the interaction occurring between the surface and subsurface hydrologic regimes. Overall, it is concluded that it is feasible to apply a fully-integrated, surface/variably-saturated subsurface flow model at the watershed scale and possibly larger scales.Citation: Jones, J. P., E. A. Sudicky, and R. G. McLaren (2008), Application of a fully-integrated surface-subsurface flow model at the watershed-scale: A case study, Water Resour. Res., 44, W03407,

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“…Sensitivity analysis methods have been traditionally used for automatic calibration or inverse modeling (e.g., Sun and Yeh ), for uncertainty analysis (Jyrkama and Sykes ), for optimization (e.g., Ahlfeld et al ), and to assess the sensitivity of a model to its parameters and boundary conditions (Sykes et al ). Sensitivity analysis methods are used here for a different purpose, which is to evaluate the vulnerability of the state of the system to local variations in external pressures under the assumption that a groundwater flow model has already been calibrated.…”

Section: Introductionmentioning

confidence: 99%

Physically Based Groundwater Vulnerability Assessment Using Sensitivity Analysis Methods

et al. 2013

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A general physically based method is presented to assess the vulnerability of groundwater to external pressures by numerical simulation of groundwater flow. The concept of groundwater vulnerability assessment considered here is based on the calculation of sensitivity coefficients for a user-defined groundwater state for which we propose several physically based indicators. Two sensitivity analysis methods are presented: the sensitivity equation method and the adjoint operator method. We show how careful selection of a method can significantly minimize the computational effort. An illustration of the general methodology is presented for the Herten aquifer analog (Germany). This application to a simple, yet insightful, case demonstrates the potential use of this general and physically based vulnerability assessment method to complex aquifers.

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Sensitivity and uncertainty analysis of the recharge boundary condition

Cited by 17 publications

References 35 publications

Sensitivity analysis of two-dimensional steady-state aquifer flow equations. Implications for groundwater flow model calibration and validation

Sensitivity analysis of two-dimensional steady-state aquifer flow equations. Implications for groundwater flow model calibration and validation

Application of a fully‐integrated surface‐subsurface flow model at the watershed‐scale: A case study

Physically Based Groundwater Vulnerability Assessment Using Sensitivity Analysis Methods

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