Regards sur 40 ans de problèmes inverses en hydrogéologie

Marsily, Ghislain de; Delhomme, J.P.; Delay, Frédérick; Buoro, Alvaro

doi:10.1016/s1251-8050(99)80208-0

Cited by 16 publications

(9 citation statements)

References 46 publications

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“…Numerical models require aquifer hydraulic properties and also boundary and initial conditions over the whole aquifer domain. Since parameter measurements are scarce and often unreliable [ Carrera et al , 2005; de Marsily et al , 1999], the reconstruction of a hydraulic conductivity field, which numerically reproduces the observed heads, is usually difficult [ de Marsily et al , 1999]. This reconstruction is commonly based on inverse modeling.…”

Section: Introductionmentioning

confidence: 99%

“…During the last 40 years, many approaches have been developed to identify the hydrodynamical properties of aquifer subsystems [ Carrera et al , 2005; Cooley , 1985; de Marsily et al , 1999; Hefez et al , 1975; Hoeksema and Kitanidis , 1985; Hendricks Franssen et al , 2009; McLaughlin and Townley , 1996; Yeh , 1986]. Table 1 summarizes 55 publications dedicated to the application of inverse methods in hydrogeology.…”

Section: Introductionmentioning

confidence: 99%

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Hybrid fitting of a hydrosystem model: Long‐term insight into the Beauce aquifer functioning (France)

Flipo¹,

Monteil²,

Poulin³

et al. 2012

Water Resources Research

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[1] This study aims at analyzing the water budget of the unconfined Beauce aquifer (8000 km 2 ) over a 35 year period, by modeling the hydrological functioning and quantifying exchanged water fluxes inside the system. A distributed process-based model (DPBM) is implemented to model the surface, the unsaturated zone and the aquifer subsystems. Based on an extensive literature review on multiparameter optimization and inverse problem, a pragmatic hybrid fitting method that couples manual and automatic calibration is developed. Three data subsets are used for calibration (10 year), validation (10 year) and test (35 year). The global piezometric head root-mean-square error is around 2.5 m for the three subsets and is rather uniformly spatially distributed over 78 piezometers. The sensitivity of the simulation to the different steps of the calibration process is investigated. The transmissivity field permits the fitting of the low-frequency signal for long-term filtering of the recharge signal, whereas the storage coefficient filters the signal with a higher frequency. For long-term insight into aquifer system functioning, the priority is thus to first fit the transmissivity field and to assess the distributed aquifer recharge accurately. The fitted DPBM, coupled with a linear model of coregionalization, is then used to quantify the hydrosystem water mass balance between 1974 and 2009, indicating that there is yet no trend of water resources decrease neither due to climate nor to human activities.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hybrid fitting of a hydrosystem model: Long‐term insight into the Beauce aquifer functioning (France)

Flipo¹,

Monteil²,

Poulin³

et al. 2012

Water Resources Research

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“…The most commonly used method by the hydrogeology community for data completion consists in drawing the flow streamlines (as cited in DE Marsily et al, 20,21 ). This method is easy to implement but very sensitive to measurement errors.…”

Section: Introductionmentioning

confidence: 99%

Data completion problem for the advection‐diffusion equation with aquifer point sources

Hassin

Hariga

Khayat

2020

Math Methods in App Sciences

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We consider the inverse problem of recovering the missing flux and concentration on some part of a boundary of an aquifer using overspecified measurements available on some accessible part. The aquifer is under the action of point-forces located inside the domain and governed by the advection-diffusion equation. The method used is based on a fictitious domain decomposition. Numerical tests are done attesting the performance of the identification process.

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“…Οι πρώτες προσπάθειες ευθείας προσομοίωσης ξεκινούν στα μέσα της δεκαετίας του '50, όπου στην Ευρώπη και συγκεκριμένα στη Γαλλία εφαρμόζεται το μοντέλο του Sogréah στον υδροφορέα του Chot el Chergui, ενώ παράλληλα στην αντίπερα όχθη του Ατλαντικού, στις ΗΠΑ ο Weber παρουσιάζει το δικό του μοντέλο για τον υδροφορέα του Los Angeles. Δεν θα περάσει πολύς καιρός και ο Nelson το 1960 στις ΗΠΑ, θα δημοσιεύσει την πρώτη απόπειρα επίλυσης του αντίστροφου προβλήματος, ενώ λίγο αργότερα το 1965 θα ακολουθήσουν και οι Jacquard and Jaïn από την Γαλλία επιλύοντας το αντίστροφο πρόβλημα της μονοφασικής ροής πετρελαίου -προβλήματος δηλαδή ισοδύναμου αυτού της υπόγειας υδρολογίας [Marsily et al, 1999a].…”

Section: -3unclassified

“…Στην παρούσα εργασία, θα περιοριστούμε στον προσδιορισμό των μεταφορικοτήτων σε υδροφορείς με μόνιμη ροή όπου τα μόνα διαθέσιμα στοιχεία είναι σταθερές τιμές υδραυλικών φορτίων σε ορισμένα σημεία του πεδίου. Η περίπτωση αυτή του αντιστρόφου προβλήματος είναι η πιο συχνή, η δυσκολότερη και η περισσότερο μελετημένη στη διεθνή βιβλιογραφία [Marsily et al, 1999a].…”

Section: -3unclassified

Διερεύνηση Του Αντίστροφου Προβλήματος Της Υπόγειας Υδραυλικής Με Χρήση Παράλληλων Γενετικών Αλγόριθμων Και Πιλοτικών Σημείων

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Regards sur 40 ans de problèmes inverses en hydrogéologie

Cited by 16 publications

References 46 publications

Hybrid fitting of a hydrosystem model: Long‐term insight into the Beauce aquifer functioning (France)

Hybrid fitting of a hydrosystem model: Long‐term insight into the Beauce aquifer functioning (France)

Data completion problem for the advection‐diffusion equation with aquifer point sources

Διερεύνηση Του Αντίστροφου Προβλήματος Της Υπόγειας Υδραυλικής Με Χρήση Παράλληλων Γενετικών Αλγόριθμων Και Πιλοτικών Σημείων

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