ON THE STOCHASTIC FOUNDATIONS OF THE THEORY OF WATER FLOW THROUGH UNSATURATED SOIL.

Rabindra N Bhattacharya, Vijay K. Gupta, Garrison Sposito

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

The parabolic differential equation that describes the isothermal isohaline transport of water through an unsaturated soil is shown to be the mathematically rigorous result of a fundamental stochastic hypothesis: that the trajectory of a water molecule is a nonhomogeneous Markov process characterized by space- and time-dependent coefficients of drift and diffusion. The demonstration is valid in general for heterogeneous anisotropic soils and provides for three principal results in the theory of water flow through unsaturated media. A dynamic argument at the molecular level is developed to show that the fundamental Markovian hypothesis is physically reasonable in the case of water movement through an unsaturated soil.

Original languageEnglish (US)
Pages (from-to)503-512
Number of pages10
JournalWater Resources Research
Volume12
Issue number3
StatePublished - Jun 1976
Externally publishedYes

Fingerprint

Flow of water
water flow
Soils
Water
unsaturated medium
soil
water
space and time
Markov processes
trajectories
Differential equations
Demonstrations
trajectory
Trajectories
Molecules

ASJC Scopus subject areas

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

Cite this

ON THE STOCHASTIC FOUNDATIONS OF THE THEORY OF WATER FLOW THROUGH UNSATURATED SOIL. / Bhattacharya, Rabindra N; Gupta, Vijay K.; Sposito, Garrison.

In: Water Resources Research, Vol. 12, No. 3, 06.1976, p. 503-512.

Research output: Contribution to journalArticle

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