Alternative Unsaturated Flow Analyses for the Falling-Head Ring Infiltrometer

Autor: W. D. Reynolds
Rok vydání: 2008
Předmět:
Zdroj: Vadose Zone Journal. 7:131-135
ISSN: 1539-1663
DOI: 10.2136/vzj2007.0045
Popis: The Green–Ampt expression for determining field-saturated hydraulic conductivity ( K fs ) and matric flux potential (ϕ m ) from falling-head ring infiltrometer measurements produces a singularity when the standpipe cross-section divided by the ring cross-section ( R ) equals the change in porous medium water content (Δθ). As R = Δθ is clearly possible in wet, low-permeability materials, the objective of this study was to develop an alternative falling-head ring infiltrometer analysis that applies for 0 R R = Δθ. This was accomplished by replacing the natural logarithm in the Green–Ampt analysis with a Taylor series expansion, which removes the ( R − Δθ) divisor from the analysis. The Taylor series form of the Green–Ampt expression collapses to a simple algebraic expression when R = Δθ. Combining this algebraic expression with a similar analysis developed for gravitationless infiltration provides an improved approximate relationship for estimating K fs when standpipe drawdown is small and R
Databáze: OpenAIRE