Three-dimensional plume source reconstruction using minimum relative entropy inversion

Woodbury, Allan D.; Sudicky, E. A.; Ulrych, Tadeusz J.; Ludwig, Ralph

doi:10.1016/s0169-7722(97)00088-0

Cited by 102 publications

(55 citation statements)

References 15 publications

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“…Another advantage using the MRE approach is that once the plume source history is reconstructed, future behavior of the plume can be easily predicted due to the probabilistic framework of MRE. Woodbury et al (1998) extended the MRE approach to reconstruct a 3-D plume source within a 1-D constant velocity ®eld and constant dispersivity system. Recently, Neupauer, Borchers and Wilson (2000) performed a study to compare the TR and the MRE methods.…”

Section: Contaminant Transport Inversion Methodsmentioning

confidence: 99%

State of the Art Report on Mathematical Methods for Groundwater Pollution Source Identification

2001

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The reliable assessment of hazards or risks arising from groundwater contamination problems and the design of ecient and eective techniques to mitigate these problems require the capability to predict the behavior of chemical contaminants in¯owing water. Most attempts at quantifying contaminant transport have relied on a solution of some form of a well-known governing equation referred to as advection-dispersion-reaction equation. To choose an appropriate remediation strategy, knowledge of the contaminant release source and time release history becomes pertinent. As additional contaminated sites are being detected, it is almost impossible to perform exhaustive drilling, testing, and chemical ®ngerprint analysis every time. Moreover, chemical ®ngerprinting and site records are not sucient to allow a unique solution for the timing of source releases. The purpose of this paper is to present and review mathematical methods that have been developed during the past 15 years to identify the contaminant source location and recover the time release history.# 2001 AEHS

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Section: Contaminant Transport Inversion Methodsmentioning

confidence: 99%

State of the Art Report on Mathematical Methods for Groundwater Pollution Source Identification

2001

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“…Some of the initial contributions in identification of unknown groundwater pollution sources proposed the use of linear optimization model based on linear response matrix approach (Gorelick et al, 1983) and statistical pattern recognition (Datta et al, 1989). Some of the important contributions to solve the unknown groundwater pollution sources identification problem include: non-linear maximum likelihood estimation based inverse models to determine optimal estimates of the unknown model parameters and source characteristics (Wagner, 1992); minimum relative entropy, a gradient based optimization for solving source identification problems (Woodbury et al, 1998); embedded nonlinear optimization technique for source identification (Mahar and Datta, 1997; inverse procedures based on correlation coefficient optimization (Sidauruk et al, 1997); Genetic Algorithm (GA) based approach (Aral et al, 2001;Singh & Datta, 2006); Artificial Neural Network (ANN) approach , 2007; constrained robust least square approach (Sun et al, 2006); classical optimization based approach (Datta et al, 2009a; inverse particle tracking approach (Bagtzoglou, 2003;Ababou et al, 2010); heuristic harmony search for source identification (Ayvaz, 2010); Simulated Annealing (SA) as optimization for source identification (Jha & Datta, 2011;Prakash & Datta, 2012, 2013, 2014a. A review of different optimization techniques for solving source identification problem is presented in Chadalavada et al (2011) and Amirabdollahian and Datta (2013).…”

Section: B Datta Et Al 42mentioning

confidence: 99%

Optimal Unknown Pollution Source Characterization in a Contaminated Groundwater Aquifer—Evaluation of a Developed Dedicated Software Tool

Datta¹,

Prakash²,

Cassou³

et al. 2014

GEP

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“…It turns out that the solutions depend over a wide range only weakly on it. Our approach is similar to the minimum entropy inversion [25].…”

Section: Tomographic Constraintsmentioning

confidence: 99%

Tomographic diagnostics of current distributions in a fuel cell stack

Hirschfeld

Lustfeld

Reißel

et al. 2009

Int. J. Energy Res.

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SUMMARYA novel tomographic scheme for analysing the state of any single membrane electrode assembly (MEA) in a stack is suggested. Plates of very high conductivity placed between every fuel cell and slitted in an appropriate manner cause surface currents at well-defined locations of the stack. We show that knowing these surface currents, information about anomalies of the currents in a MEA can be obtained using the methods of tomography. The results are mathematically not unique. However, when assuming plausible defect structures, one can exclude improbable deficiencies by applying a special form of simulated annealing. We present numerical calculations of typical examples demonstrating that the essential defects of the MEA in any single cell of the stack can be detected and their extent can be determined.

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Three-dimensional plume source reconstruction using minimum relative entropy inversion

Cited by 102 publications

References 15 publications

State of the Art Report on Mathematical Methods for Groundwater Pollution Source Identification

State of the Art Report on Mathematical Methods for Groundwater Pollution Source Identification

Optimal Unknown Pollution Source Characterization in a Contaminated Groundwater Aquifer—Evaluation of a Developed Dedicated Software Tool

Tomographic diagnostics of current distributions in a fuel cell stack

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