Theory, Modeling, and Field Investigation in Hydrogeology: A Special Volume in Honor of Shlomo P. Neumans 60th Birthday 2000
DOI: 10.1130/0-8137-2348-5.1
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Four decades of inverse problems in hydrogeology

Abstract: We review the main stages of the evolution of ideas and methods for solving the inverse problem in hydrogeology; i.e., the identification of the transmissivity field in single-phase flow from piezometric data, in mainly steady-state and, occasionally, transient flow conditions. We first define the data needed to solve an inverse problem in hydrogeology, then describe the numerous approaches that have been developed over the past 40 years to solve it, emphasizing the major contributions made by Shlomo P. Neuman… Show more

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Cited by 71 publications
(73 citation statements)
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References 60 publications
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“…Instead, this information is taken into account by inverse methods, which characterize the physical parameters from measurements of the state variables. Inverse modelling has been a topic of intense research and developments [1,5,12,19,21]. As argued in a recent review by Carrera et al [9], most methods do not differ from each other in essence, but they may differ with respect to the computational details.…”
Section: Introductionmentioning
confidence: 99%
“…Instead, this information is taken into account by inverse methods, which characterize the physical parameters from measurements of the state variables. Inverse modelling has been a topic of intense research and developments [1,5,12,19,21]. As argued in a recent review by Carrera et al [9], most methods do not differ from each other in essence, but they may differ with respect to the computational details.…”
Section: Introductionmentioning
confidence: 99%
“…Describing the multiplicity of the pilot point versions is beyond our scope. A more detailed review is available in de Marsily et al (2000).…”
Section: Optimization With Pilot Pointsmentioning
confidence: 99%
“…Within the framework of inverse problem theory (Tarantola, 2004), this approach is intended to combine two types of information -one coming from observations and the other from a numerical model -in order to propose an improved estimation of the system state (Bouttier and Courtier, 1999). First introduced in meteorology (Daley, 1991) and oceanography (Ghil and MalanotteRizzoli, 1991), data assimilation techniques have become more widespread in the geosciences, following the increased availability of remote sensing data (McLaughlin, 2002;Reichle, 2008), as well as in hydrogeology (De Marsily et al, 1999) or hydraulics Nelly et al, 2010;Ricci et al, 2011). In hydrology, assimilation techniques are typically employed in flood forecasting and are referred to as updating techniques.…”
Section: Introductionmentioning
confidence: 99%