STOCHASTIC ANALYSIS OF UNSATURATED FLOW IN HETEROGENEOUS SOILS - 1. STATISTICALLY ISOTROPIC MEDIA.

Tian-Chyi J Yeh, Lynn W. Gelhar, Allan L. Gutjahr

Research output: Contribution to journalArticle

322 Citations (Scopus)

Abstract

Steady unsaturated flow with vertical mean infiltration through unbounded heterogeneous porous media is analyzed using a perturbation approximation of the stochastic flow equation which is solved by spectral representation techniques. The hydraulic conductivity K is related to the capillary pressure head. Results are obtained for head variances and covariance functions, effective hydraulic conductivities, variances of the unsaturated hydraulic conductivity, flux variances, and variance of pressure gradient. When the soil parameter is relatively large, corresponding to coarse textured soils, the head variance decreases and all of the results demonstrate a trend toward gravitationally dominated one-dimensional vertical flow.

Original languageEnglish (US)
Pages (from-to)447-456
Number of pages10
JournalWater Resources Research
Volume21
Issue number4
StatePublished - Apr 1985
Externally publishedYes

Fingerprint

unsaturated flow
Hydraulic conductivity
hydraulic conductivity
Soils
soil
Capillarity
capillary pressure
steady flow
Pressure gradient
Infiltration
pressure gradient
Porous materials
porous medium
infiltration
unsaturated hydraulic conductivity
coarse-textured soils
perturbation
Fluxes
porous media
infiltration (hydrology)

ASJC Scopus subject areas

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

Cite this

STOCHASTIC ANALYSIS OF UNSATURATED FLOW IN HETEROGENEOUS SOILS - 1. STATISTICALLY ISOTROPIC MEDIA. / Yeh, Tian-Chyi J; Gelhar, Lynn W.; Gutjahr, Allan L.

In: Water Resources Research, Vol. 21, No. 4, 04.1985, p. 447-456.

Research output: Contribution to journalArticle

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