The comparison model method: A new arithmetic approach to the discrete inverse problem of groundwater hydrology

Ponzini, Giansilvio; Crosta, G

doi:10.1007/bf00233178

Cited by 30 publications

(16 citation statements)

References 12 publications

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“…The idea of using hydraulic head measurements from a variety of steady statē ow conditions has long been suggested [e.g., Scarascia and Ponzini, 1972;Ponzini and Lozej, 1982;Ponzini and Crosta, 1988;Giudici et al, 1995a;and Parravicini et al, 1995]. These authors have shown soundly that the transmissivity may be determined uniquely provided that head measurements under independent¯ow conditions are available.…”

Section: Introductionmentioning

confidence: 97%

Transmissivity identification through multi-directional aquifer stimulation

Snodgrass

Kitanidis

1998

Stochastic Hydrology and Hydraulics

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This paper presents a geostatistical approach to multi-directional aquifer stimulation in order to better identify the transmissivity ®eld. Hydraulic head measurements, taken at a few locations but under a number of different steady-state¯ow conditions, are used to estimate the transmissivity. Well installation is generally the most costly aspect of obtaining hydraulic head measurements. Therefore, it is advantageous to obtain as many informative measurements from each sampling location as possible. This can be achieved by hydraulically stimulating the aquifer through pumping, in order to set-up a variety of¯ow conditions. We illustrate the method by applying it to a synthetic aquifer. The simulations provide evidence that a few sampling locations may provide enough information to estimate the transmissivity ®eld. Furthermore, the innovation of, or new information provided by, each measurement can be examined by looking at the corresponding spline and sensitivity matrix. Estimates from multi-directional stimulation are found to be clearly superior to estimates using data taken under one¯ow condition. We describe the geostatistical methodology for using data from multi-directional simulations and address computational issues.

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Section: Introductionmentioning

confidence: 97%

Transmissivity identification through multi-directional aquifer stimulation

Snodgrass

Kitanidis

1998

Stochastic Hydrology and Hydraulics

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“…The CMM was proposed to identify T at every node of a discretization grid [18] and successively developed to directly compute internode transmissivities [19]. Further modifications were proposed by Ponzini and Crosta [20], Ponzini et al [26], Pasquier and Marcotte [27], Ponzini et al [28]. The CMM was applied to alluvial aquifers in Italy [14,16,21], Switzerland [22] and Canada [23,29,30] and to a carbonatic aquifer in southern Italy [17,31].…”

Section: Inverse Modeling With the Comparison Model Methodsmentioning

confidence: 99%

“…The calibration is performed for 2D flow conditions implementing the comparison model method (CMM). This method was originally proposed by Scarascia and Ponzini [18], successively developed by Ponzini and Lozej [19] and cast in a more formal mathematical framework by Ponzini and Crosta [20]. The CMM has been applied and implemented with success to study 2D hydraulic flow in regional aquifers [14,16,17,[21][22][23], and therefore, for the moment, its implementation within YAGMod covers these kinds of systems only.…”

Section: Introductionmentioning

confidence: 99%

Modeling Groundwater Flow in Heterogeneous Porous Media with YAGMod

et al. 2015

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Abstract:Modeling flow and transport in porous media requires the management of complexities related both to physical processes and to subsurface heterogeneity. A thorough approach needs a great number of spatially-distributed phenomenological parameters, which are seldom measured in the field. For instance, modeling a phreatic aquifer under high water extraction rates is very challenging, because it requires the simulation of variably-saturated flow. 3D steady groundwater flow is modeled with YAGMod (yet another groundwater flow model), a model based on a finite-difference conservative scheme and implemented in a computer code developed in Fortran90.YAGMod simulates also the presence of partially-saturated or dry cells. The proposed algorithm and other alternative methods developed to manage dry cells in the case of depleted aquifers are analyzed and compared to a simple test. Different approaches yield different solutions, among which, it is not possible to select the best one on the basis of physical arguments. A possible advantage of YAGMod is that no additional non-physical parameter is needed to overcome the numerical difficulties arising to handle drained cells. YAGMod also includes a module that allows one to identify the conductivity field for a phreatic aquifer by solving an inverse problem with the comparison model method.

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“…For 1D flows, the derivatives of piezometric head substitute the norms of the hydraulic gradients in Eq. (5) and if all data used for the inversion are exact and continuous functions, then T (est) is an exact, possibly non unique, solution of the inverse problem (Ponzini and Crosta 1988;Lesnic 2010).…”

Section: The Simulation Modelsmentioning

confidence: 99%

“…The CMM was proposed for the finite difference discretization technique by Scarascia and Ponzini (1972) and further modified by Ponzini and Lozej (1982), Ponzini and Crosta (1988), and Ponzini et al (1989), whereas Lesnic (2010) proposed its adaptation to obtain the flexural rigidity of a beam. Recently Marcotte (2005, 2006) applied the method, with some modifications, in the realm of the finite elements technique and also using transient head data, and Ponzini et al (2007) clarified some peculiar properties of the CMM.…”

Section: The Simulation Modelsmentioning

confidence: 99%

Modeling water resources of a highly irrigated alluvial plain (Italy): calibrating soil and groundwater models

et al. 2012

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Modern and effective water management in large alluvial plains that have intensive agricultural activity requires the integrated modeling of soil and groundwater. The models should be complex enough to properly simulate several, often non-linear, processes, but simple enough to be effectively calibrated with the available data. An operative, practical approach to calibration is proposed, based on three main aspects. First, the coupling of two models built on wellvalidated algorithms, to simulate (1) the irrigation system and the soil water balance in the unsaturated zone and (2) the groundwater flow. Second, the solution of the inverse problem of groundwater hydrology with the comparison model method to calibrate the model. Third, the use of appropriate criteria and cross-checks (comparison of the calibration results and of the model outputs with hydraulic and hydrogeological data) to choose the final parameter sets that warrant the physical coherence of the model. The approach has been tested by application to a large and intensively irrigated alluvial basin in northern Italy.

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The comparison model method: A new arithmetic approach to the discrete inverse problem of groundwater hydrology

Cited by 30 publications

References 12 publications

Transmissivity identification through multi-directional aquifer stimulation

Transmissivity identification through multi-directional aquifer stimulation

Modeling Groundwater Flow in Heterogeneous Porous Media with YAGMod

Modeling water resources of a highly irrigated alluvial plain (Italy): calibrating soil and groundwater models

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