Inverse problem in hydrogeology

Carrera, Jesús; Alcolea, Andrés; Medina, A.; Hidalgo, Juan J.; Slooten, Luit Jan

doi:10.1007/s10040-004-0404-7

Cited by 467 publications

(377 citation statements)

References 89 publications

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“…8). This is the foundation of any subsequent numerical modelling endeavor (Carrera et al 2005). The key points and assumptions in the conceptual model adopted here are listed below:…”

Section: Synthesis and Conceptual Modelmentioning

confidence: 99%

Status of the Korba groundwater resources (Tunisia): observations and three-dimensional modelling of seawater intrusion

2010

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The Korba aquifer is located in the east of the Cape Bon peninsula in Tunisia. A large groundwater depression has been created in the central part of the aquifer since the 1980s, due to intense groundwater pumping for irrigation. The data collected show that the situation continues to deteriorate. Consequently, seawater is continuing to invade a large part of the aquifer. To better understand the situation and try to forecast its evolution, a three-dimensional (3D) transient density-dependent groundwater model has been developed. The model building process was difficult because of data required on groundwater discharge from thousands of unmonitored private wells. To circumvent that difficulty, indirect exhaustive information including remote sensing data and the physical parameters of the aquifer have been used in a multi-linear regression framework. The resulting 3D model shows that the aquifer is over-exploited. It also shows that after 50 years of exploitation, the time needed to turn back to the natural situation would be about 150 years if the authorities would ban all exploitation now. Such an asymmetry in the time scales required to contaminate or remediate an aquifer is an important characteristic of coastal aquifers that must be taken into account in their management.

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“…8). This is the foundation of any subsequent numerical modelling endeavor (Carrera et al 2005). The key points and assumptions in the conceptual model adopted here are listed below:…”

Section: Synthesis and Conceptual Modelmentioning

confidence: 99%

Status of the Korba groundwater resources (Tunisia): observations and three-dimensional modelling of seawater intrusion

2010

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“…Accurate prediction of groundwater flow and the fate of subsurface contaminants is one example (McLaughlin and Townley, 1996;Carrera et al, 2005). The multiphase flow of hydrocarbons in an oil reservoir is another example where accurate predictions have large economic impact (Naevdal et al, 2005;Fu and GomezHernandez, 2008).…”

Section: Introductionmentioning

confidence: 99%

Parameter estimation of subsurface flow models using iterative regularized ensemble Kalman filter

Elsheikh

Pain

Fang

et al. 2012

Stoch Environ Res Risk Assess

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A new parameter estimation algorithm based on ensemble Kalman filter (EnKF) is developed. The developed algorithm combined with the proposed problem parametrization offers an efficient parameter estimation method that converges using very small ensembles and without any tuning parameters. The inverse problem is formulated as a sequential data integration problem. Gaussian Process Regression (GRP) is used to integrate the prior knowledge (static data). The search space is further parameterized using Karhunen-Loève expansion to build a set of basis functions that spans the search space. Optimal weights of the reduced basis functions are estimated by an iterative regularized ensemble Kalman filter algorithm. The filter is converted to an optimization algorithm by using a pseudo time-stepping technique such that the model output matches the time dependent data. The EnKF Kalman gain matrix is regularized using truncated SVD to filter out noisy correlations. Numerical results show that the proposed algorithm is a promising approach for parameter estimation of subsurface flow models.

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“…4) is used as objective function, the problem is usually ill-posed. A number of methods have been proposed to regularize similar inverse problems (Carrera et al, 2005). A possibility consists of narrowing the search space, which can be performed by selecting an appropriate parameterization technique (Oliver, 2010;Le Ravalec-Dupin, 2010).…”

Section: Computation Of the Objective Functionmentioning

confidence: 99%

“…It entails the iterative minimization of an objective function, that quantifies the data mismatch. Several techniques, referring to history-matching, were developed and shown to be efficient when dealing with production data (Carrera et al, 2005;Oliver and Chen, 2010). Recent works have been focusing on the joint integration of production data and 4D-seismic attributes into reservoir models (Vasco et al, 2004;Stephen et al, 2006;Roggero et al, 2007).…”

Section: Introductionmentioning

confidence: 99%

Simultaneous Inversion of Production Data and Seismic Attributes: Application to a Synthetic SAGD Produced Field Case

Tillier

Ravalec

Veiga

2012

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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Résumé -Inversion simultanée des données de production et des attributs sismiques : application à un champ synthétique produit par injection de vapeur -L'utilisation conjointe des données de production et des attributs de sismique répétée facilite la compréhension des mouvements de fluide dans les formations géologiques et aide à la construction de modèles numériques fiables représentant ces formations. Ceci a récemment motivé le développement de techniques d'inversion ou de calage dédiées à l'identification de modèles cohérents avec l'ensemble des données disponibles. La méthodologie décrite dans ce papier permet de déterminer les cartes de propriétés pétrophysiques comme les faciès, les porosités ou les perméabilités à partir des données de production et des attributs de sismique répétée. Elle est appliquée avec succès à un champ synthétique d'huile lourde produite par injection de vapeur. Ce cas d'étude, inspiré d'un cas réel, illustre comment définir une méthodologie d'inversion qui respecte l'ensemble des données disponibles. L'étude est centrée sur trois points particuliers de la méthodologie qui sont les clés du succès. Premièrement, le choix de la paramétrisation est essentiel. La paramétrisation doit permettre des variations locales avec peu de paramètres. Deuxièmement, cette étude met en évidence la nécessité d'une formulation alternative pour mesurer l'erreur entre les attributs sismiques de référence et les attributs sismiques simulés. Finalement, nous étudions deux approches pour l'intégration des attributs sismiques de référence. Ils peuvent être intégrés en temps ou bien en profondeur. Nous montrons que, dans le cas étudié, ce dernier point n'influence pas la qualité du résultat obtenu car l'erreur de conversion temps-profondeur est faible. (after a time-to-depth conversion). In the case studied, it is shown that the two approaches are equivalent since time-to depth-conversion error is quite small.

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Inverse problem in hydrogeology

Cited by 467 publications

References 89 publications

Status of the Korba groundwater resources (Tunisia): observations and three-dimensional modelling of seawater intrusion

Status of the Korba groundwater resources (Tunisia): observations and three-dimensional modelling of seawater intrusion

Parameter estimation of subsurface flow models using iterative regularized ensemble Kalman filter

Simultaneous Inversion of Production Data and Seismic Attributes: Application to a Synthetic SAGD Produced Field Case

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