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Khambhammettu, Prashanth
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Khambhammettu, Prashanth
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- PublicationAccès libreTowards Improved Remedial Outcomes in Categorical Aquifers with an Iterative Ensemble Smoother(2023)
; ; ;John Doherty ;Jeremy White ;Marc KillingstadMichael KladiasAbstractCategorical parameter distributions consisting of geologic facies with distinct properties, for example, high‐permeability channels embedded in a low‐permeability matrix, are common at contaminated sites. At these sites, low‐permeability facies store solute mass, acting as secondary sources to higher‐permeability facies, sustaining concentrations for decades while increasing risk and cleanup costs. Parameter estimation is difficult in such systems because the discontinuities in the parameter space hinder the inverse problem. This paper presents a novel approach based on Traveling Pilot Points (TRIPS) and an iterative ensemble smoother (IES) to solve the categorical inverse problem. Groundwater flow and solute transport in a hypothetical aquifer with a categorical parameter distribution are simulated using MODFLOW 6. Heads and concentrations are recorded at multiple monitoring locations. IES is used to generate posterior ensembles assuming a TRIPS prior and an approximate multi‐Gaussian prior. The ensembles are used to predict solute concentrations and mass into the future. The evaluation also includes an assessment of how the number of measurements and the choice of the geological prior determine the characteristics of the posterior ensemble and the resulting predictions. The results indicate that IES was able to efficiently sample the posterior distribution and showed that even with an approximate geological prior, a high degree of parameterization and history matching could lead to parameter ensembles that can be useful for making certain types of predictions (heads, concentrations). However, the approximate geological prior was insufficient for predicting mass. The analysis demonstrates how decision‐makers can quantify uncertainty and make informed decisions with an ensemble‐based approach. - PublicationAccès libreThe Traveling Pilot Point method. A novel approach to parameterize the inverse problem for categorical fields(2020-2)
; ; Doherty, JohnCategorical parameter distributions are common-place in hydrogeological systems consisting of geologic fa cies/categories with distinct properties, e.g., high-permeability channels embedded in a low-permeability ma trix. Parameter estimation is difficult in such systems because the discontinuities in the parameter space hinder the inverse problem. Previous research in this area has been focused on the use of stochastic methods. In this paper, we present a novel approach based on Traveling Pilot points (TRIPS) combined with subspace parameter estimation methods to generate realistic categorical parameter distributions that honor calibration constraints (e.g., - measured water levels). In traditional implementations, aquifer properties (e.g., hydraulic conductivity) are estimated at fixed pilot point locations. In the TRIPS implementation, both the properties associated with the pilot points and their locations are estimated. Tikhonov regularization constraints are incorporated in the param eter estimation process to produce realistic parameter depictions. For a synthetic aquifer system, we solved the categorical inverse problem by combining the TRIPS methodology with two subspace methods: Null Space Monte Carlo (NSMC) and Posterior Covariance (PC). A posterior ensemble developed with the rejection sampling (RS) method is compared against the TRIPS ensembles. The comparisons indicated similarities between the various ensembles and to the reference parameter distribution. Between the two subspace methods, the NSMC method produced an ensemble with more variability than the PC method. These preliminary results suggest that the TRIPS methodology has promise and could be tested on more complicated problems.