Conditioning mean study state flow on hydraulic head and conductivity through geostatistical inversion

A. F. Hernandez, Shlomo P Neuman, A. Guadagnini, J. Carrera

Research output: Contribution to journalArticle

54 Citations (Scopus)

Abstract

Nonlocal moment equations allow one to render deterministically optimum predictions of flow in randomly heterogeneous media and to assess predictive uncertainty conditional on measured values of medium properties. We present a geostatistical inverse algorithm for steady-state flow that makes it possible to further condition such predictions and assessments on measured values of hydraulic head (and/or flux). Our algorithm is based on recursive finite-element approximations of exact first and second conditional moment equations. Hydraulic conductivity is parameterized via universal kriging based on unknown values at pilot points and (optionally) measured values at other discrete locations. Optimum unbiased inverse estimates of natural log hydraulic conductivity, head and flux are obtained by minimizing a residual criterion using the Levenberg-Marquardt algorithm. We illustrate the method for superimposed mean uniform and convergent flows in a bounded two-dimensional domain. Our examples illustrate how conductivity and head data act separately or jointly to reduce parameter estimation errors and model predictive uncertainty.

Original languageEnglish (US)
Pages (from-to)329-338
Number of pages10
JournalStochastic Environmental Research and Risk Assessment
Volume17
Issue number5
DOIs
StatePublished - Nov 2003

Fingerprint

hydraulic head
Conditioning
Hydraulics
conditioning
Conductivity
hydraulic conductivity
Hydraulic Conductivity
Moment Equations
Inversion
Hydraulic conductivity
Universal Kriging
Natural logarithm
Discrete Location
Fluxes
Uncertainty
Levenberg-Marquardt Algorithm
Conditional Moments
Heterogeneous Media
Nonlocal Equations
heterogeneous medium

Keywords

  • Aquifer characteristics
  • Geostatistics
  • Groundwater flow
  • Inverse problem
  • Regression analysis
  • Steady-state conditions
  • Stochastic processes
  • Uncertainty

ASJC Scopus subject areas

  • Environmental Engineering
  • Environmental Science(all)
  • Environmental Chemistry
  • Water Science and Technology
  • Statistics and Probability
  • Civil and Structural Engineering

Cite this

Conditioning mean study state flow on hydraulic head and conductivity through geostatistical inversion. / Hernandez, A. F.; Neuman, Shlomo P; Guadagnini, A.; Carrera, J.

In: Stochastic Environmental Research and Risk Assessment, Vol. 17, No. 5, 11.2003, p. 329-338.

Research output: Contribution to journalArticle

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