Markov models and the ensemble Kalman filter for estimation of sorption rates. Metadata

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  • Main Title Markov models and the ensemble Kalman filter for estimation of sorption rates.


  • Author: Vugrin, Eric D.
    Creator Type: Personal
  • Author: McKenna, Sean Andrew (Sandia National Laboratories, Albuquerque, NM)
    Creator Type: Personal
  • Author: Vugrin, Kay White
    Creator Type: Personal


  • Sponsor: United States. Department of Energy.
    Contributor Type: Organization


  • Name: Sandia National Laboratories
    Place of Publication: United States


  • Creation: 2007-09-01


  • English


  • Content Description: Non-equilibrium sorption of contaminants in ground water systems is examined from the perspective of sorption rate estimation. A previously developed Markov transition probability model for solute transport is used in conjunction with a new conditional probability-based model of the sorption and desorption rates based on breakthrough curve data. Two models for prediction of spatially varying sorption and desorption rates along a one-dimensional streamline are developed. These models are a Markov model that utilizes conditional probabilities to determine the rates and an ensemble Kalman filter (EnKF) applied to the conditional probability method. Both approaches rely on a previously developed Markov-model of mass transfer, and both models assimilate the observed concentration data into the rate estimation at each observation time. Initial values of the rates are perturbed from the true values to form ensembles of rates and the ability of both estimation approaches to recover the true rates is examined over three different sets of perturbations. The models accurately estimate the rates when the mean of the perturbations are zero, the unbiased case. For the cases containing some bias, addition of the ensemble Kalman filter is shown to improve accuracy of the rate estimation by as much as an order of magnitude.
  • Physical Description: 30 p.


  • Keyword: Solutes
  • Keyword: Markov Process
  • Keyword: Markov Processes.
  • Keyword: Ground Water
  • Keyword: Measuring Methods Sorption-Measurement.
  • STI Subject Categories: 54 Environmental Sciences
  • Keyword: Sorption
  • Keyword: Sorption-Measurement.
  • Keyword: Filters
  • Keyword: Sorption-Mathematical Models.
  • Keyword: Environmental Transport
  • Keyword: Pollutants
  • Keyword: Design


  • Name: Office of Scientific & Technical Information Technical Reports
    Code: OSTI


  • Name: UNT Libraries Government Documents Department
    Code: UNTGD

Resource Type

  • Report


  • Text


  • Report No.: SAND2007-5975
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/920758
  • Office of Scientific & Technical Information Report Number: 920758
  • Archival Resource Key: ark:/67531/metadc899135