An iterative geostatistical inverse method for steady flow in the vadose zone

Jinqi Zhang, Tian-Chyi J Yeh

Research output: Contribution to journalArticle

76 Citations (Scopus)

Abstract

An iterative geostatistical inverse approach is developed to estimate conditional effective unsaturated hydraulic conductivity parameters, soil- water pressure head, and degree of saturation in heterogeneous vadose zones. This approach is similar to the classical cokriging technique, and it uses a linear estimator that depends on covariances and cross covariances of unsaturated hydraulic parameters, soil-water pressure head, and degree of saturation. The linear estimator is, however, improved successively by solving the governing flow equation and by updating the residual covariance and cross-covariance functions in an iterative manner. As a result, the nonlinear relationship between unsaturated hydraulic conductivity parameters and head is incorporated in the estimation and the estimated fields are approximate conditional means. The ability of the iterative approach is demonstrated through some numerical examples.

Original languageEnglish (US)
Pages (from-to)63-71
Number of pages9
JournalWater Resources Research
Volume33
Issue number1
StatePublished - Jan 1997

Fingerprint

steady flow
vadose zone
Hydraulic conductivity
Steady flow
Soils
unsaturated hydraulic conductivity
Water
hydraulic conductivity
soil water
saturation
Hydraulics
methodology
hydraulics
fluid mechanics
parameter
method

ASJC Scopus subject areas

  • Aquatic Science
  • Environmental Science(all)
  • Environmental Chemistry
  • Water Science and Technology

Cite this

An iterative geostatistical inverse method for steady flow in the vadose zone. / Zhang, Jinqi; Yeh, Tian-Chyi J.

In: Water Resources Research, Vol. 33, No. 1, 01.1997, p. 63-71.

Research output: Contribution to journalArticle

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