Journal ArticleDOI
Identification of Parameter Structure in Groundwater Inverse Problem
Ne-Zheng Sun,William W.-G. Yeh +1 more
TLDR
In this article, an optimization method was developed to identify parameter structure as well as its values in connection with the inverse problem in groundwater modeling, where the complexity of the parameter structure is determined by the quantity and quality of observation data.Abstract:
This paper develops an optimization method that can be used to identify parameter structure as well as its values in connection with the inverse problem in groundwater modeling. The complexity of the parameter structure is determined by the quantity and quality of observation data. Output least square error is used as the criterion of identification. Sensitivity coefficients at finite element nodes are evaluated by the variational method. The problem of identifying the parameter structure is formulated as a problem of combinatorial optimization. A new parameterization technique is presented for describing the parameter structure. It can represent various distributions of parameters from piecewise constant to continuous variability. Based on this representation, the combinatorial optimization problem for determining the parameter structure is then solved by a simple one-at-a-time searching procedure. Numerical experimentations are used to demonstrate the efficiency and practicality of the proposed method.read more
Citations
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Journal ArticleDOI
Review of Parameter Identification Procedures in Groundwater Hydrology: The Inverse Problem
TL;DR: In this article, a survey of parameter identification procedures in groundwater hydrology is presented, which includes the evaluation of methods used for computing the sensitivity matrix and statistics which can be used to estimate the parameter uncertainty.
Journal ArticleDOI
Pilot Point Methodology for Automated Calibration of an Ensemble of conditionally Simulated Transmissivity Fields: 1. Theory and Computational Experiments
TL;DR: In this article, a new methodology for solution of the inverse problem in groundwater hydrology is proposed and applied to a site in southeastern New Mexico with extensive hydrogeologic data, where the U.S. Department of Energy is conducting probabilistic system assessment for the permanent disposal of transuranic nuclear waste.
Journal ArticleDOI
Coupled inverse problems in groundwater modeling: 1. Sensitivity analysis and parameter identification
Ne-Zheng Sun,William W.-G. Yeh +1 more
TL;DR: In this paper, a general definition of coupled inverse problems posed in the framework of multiobjective optimization is discussed, and a general procedure for deriving the adjoint state equations and their associated conditions is described.
Journal ArticleDOI
Adjoint method for obtaining backward‐in‐time location and travel time probabilities of a conservative groundwater contaminant
TL;DR: Backward location and travel time probabilities can be used to determine the prior location of contamination in an aquifer as discussed by the authors, which can improve characterization of known sources of groundwater contamination, to identify previously unknown contamination sources, and to delineate capture zones.
Journal ArticleDOI
Stochastic identification of transmissivity and effective recharge in steady groundwater flow: 2. Case study
Yoram Rubin,Gedeon Dagan +1 more
TL;DR: Rubin and Dagan as discussed by the authors extended this work by incorporating a constant, but random, effective recharge and its identification and accounting for the fact that θ estimation is associated with some uncertainty, whereas before θ was assumed to be identified with certainty.
References
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Journal ArticleDOI
An integrated finite difference method for analyzing fluid flow in porous media
TL;DR: The integrated finite difference method (IFDM) as mentioned in this paper is a powerful numerical technique for solving problems of groundwater flow in porous media, which combines the advantages of an integral formulation with the simplicity of finite difference gradients and is convenient for handling multidimensional heterogeneous systems composed of isotropic materials.
Journal ArticleDOI
Spatial variability and uncertainty in groundwater flow parameters: A geostatistical approach
TL;DR: In this paper, a geostatistical approach is proposed for characterizing the uncertainty about the transmissivity field of an aquifer and analyzing its effect on predicted head values.
Journal ArticleDOI
Calibration of distributed parameter groundwater flow models viewed as a multiple‐objective decision process under uncertainty
TL;DR: In this paper, a multiple-objective decision process is proposed for parameter identification in a locally anisotropic aquifer, where a continuous or discrete set of alternative solutions to the identification problem is generated with the aid of mathematical programing techniques.
Journal ArticleDOI
A statistical approach to the inverse problem of aquifer hydrology: 1. Theory
Shlomo P. Neuman,Sidney Yakowitz +1 more
TL;DR: In this paper, a new statistically based approach to the problem of estimating spatially varying aquifer transmissivities on the basis of steady state water level data is presented, which involves solving a family of generalized nonlinear regression problems and then selecting one particular solution from this family by means of a comparative analysis of residuals.
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