A geostatistically based inverse model for three-dimensional variably saturated flow

Debra L. Hughson, Tian-Chyi J Yeh

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We present a geostatistically based inverse model for characterizing heterogeneity in parameters of unsaturated hydraulic conductivity for threedimensional flow. Pressure and moisture content are related to perturbations in hydraulic parameters through cross-covariances, which are calculated to firstorder. Sensitivities needed for covariance calculations are derived using the adjoint state sensitivity method. Approximations of the conditional mean parameter fields are then obtained from the cokriging estimator. Correlation between parameters and pressure - moisture content perturbations is seen to be strongly dependent on mean pressure or moisture content. High correlation between parameters and pressure data was obtained under saturated or near saturated flow conditions, providing accurate estimation of saturated hydraulic conductivity, while moisture content measurements provided accurate estimation of the pore size distribution parameter under unsaturated flow conditions.

Original languageEnglish (US)
Pages (from-to)285-298
Number of pages14
JournalStochastic Hydrology and Hydraulics
Volume12
Issue number5
StatePublished - 1998

Fingerprint

Inverse Model
Moisture Content
Moisture
Three-dimensional
moisture content
Hydraulic conductivity
Hydraulic Conductivity
hydraulic conductivity
perturbation
Cokriging
Pore size
Perturbation
unsaturated flow
Three-dimensional Flow
Hydraulics
parameter
hydraulics
Estimator
Dependent
Approximation

ASJC Scopus subject areas

  • Environmental Engineering
  • Environmental Science(all)
  • Environmental Chemistry
  • Water Science and Technology
  • Safety, Risk, Reliability and Quality

Cite this

A geostatistically based inverse model for three-dimensional variably saturated flow. / Hughson, Debra L.; Yeh, Tian-Chyi J.

In: Stochastic Hydrology and Hydraulics, Vol. 12, No. 5, 1998, p. 285-298.

Research output: Contribution to journalArticle

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