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Analysis of Hydraulic Conductivity Averaging Schemes for One‐Dimensional, Steady‐State Unsaturated Flow
Author(s) -
Srivastava Rajesh,
GuzmanGuzman Amado
Publication year - 1995
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.1995.tb00040.x
Subject(s) - mathematics , quadrature (astronomy) , hydraulic conductivity , flow (mathematics) , gaussian , harmonic , mathematical analysis , geometry , geology , physics , soil water , soil science , quantum mechanics , optics
The evaluation of average properties over a block or element is required for most numerical methods used for the solution of unsaturated flow equations. In this study, it is shown that the accuracy of a particular averaging scheme depends on the type of model used for unsaturated material properties. A systematic and thorough error analysis of the averaging techniques for some commonly used soil characteristic curves is performed. It is shown that the two‐point Gaussian quadrature is consistently more accurate than the arithmetic, geometric, and harmonic means for all types of constitutive models.