An efficient method for simulating steady unsaturated flow in random porous media: using an analytical perturbation solution as initial guess to a numerical model

T. Harter, Tian-Chyi J Yeh

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16 Citations (Scopus)

Abstract

The method utilizes the analytical (approximate) solution derived by a perturbation-spectral method as an initial guess solution for a numerical model to simulate two-dimensional vertical infiltration problems. It is found that this approach, which is called "ASIGNing,' reduces the required CPU time by one to two orders of magnitude. ASIGNing is demonstrated to operate successfully under a wide variety of boundary conditions which may substantially deviate from those imposed on the initial guess solution. A large range of mean and variances in the independent variables in Ks and α or alternatively ln α has been tested and it is shown that the method works well for variances of the unsaturated hydraulic conductivity σ2ln K' ≤ 5 and average <α> ≤ 0.1 [cm-1]. -from Authors

Original languageEnglish (US)
Pages (from-to)4139-4149
Number of pages11
JournalWater Resources Research
Volume29
Issue number12
DOIs
StatePublished - 1993
Externally publishedYes

Fingerprint

unsaturated flow
steady flow
porous media
Porous materials
porous medium
Numerical models
perturbation
unsaturated hydraulic conductivity
Hydraulic conductivity
Infiltration
Program processors
analytical methods
infiltration (hydrology)
hydraulic conductivity
infiltration
boundary condition
methodology
Boundary conditions
method

ASJC Scopus subject areas

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

Cite this

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AB - The method utilizes the analytical (approximate) solution derived by a perturbation-spectral method as an initial guess solution for a numerical model to simulate two-dimensional vertical infiltration problems. It is found that this approach, which is called "ASIGNing,' reduces the required CPU time by one to two orders of magnitude. ASIGNing is demonstrated to operate successfully under a wide variety of boundary conditions which may substantially deviate from those imposed on the initial guess solution. A large range of mean and variances in the independent variables in Ks and α or alternatively ln α has been tested and it is shown that the method works well for variances of the unsaturated hydraulic conductivity σ2ln K' ≤ 5 and average <α> ≤ 0.1 [cm-1]. -from Authors

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