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Explicit infiltration equations and the Lambert W-function
- Source :
- Advances in Water Resources. 25:1119-1124
- Publication Year :
- 2002
- Publisher :
- Elsevier BV, 2002.
-
Abstract
- The Green and Ampt infiltration formula, as well as the Talsma and Parlange formula, are two-parameter equations that are both expressible in terms of Lambert W-functions. These representations are used to derive explicit, simple and accurate approximations for each case. The two infiltration formulas are limiting cases that can be deduced from an existing three-parameter infiltration equation, the third parameter allowing for interpolation between the limiting cases. Besides the limiting cases, there is another case for which the three-parameter infiltration equation yields an exact solution. The three- parameter equation can be solved by fixed-point iteration, a scheme which can be exploited to obtain a sequence of increasingly complex explicit infiltration equations. For routine use, a simple, explicit approximation to the three- parameter infiltration equation is derived. This approximation eliminates the need to iterate for most practical circumstances.
- Subjects :
- Green-Ampt formula
Mathematical model
Ponded conditions
Water flow
FLOW
Quantitative Biology::Tissues and Organs
Mathematical analysis
Approximations
Limiting
Physics::Geophysics
Real values
Talsma-Parlange formula
Infiltration (hydrology)
symbols.namesake
Exact solutions in general relativity
Lambert W function
symbols
Sorptivity
Water Science and Technology
Mathematics
Subjects
Details
- ISSN :
- 03091708
- Volume :
- 25
- Database :
- OpenAIRE
- Journal :
- Advances in Water Resources
- Accession number :
- edsair.doi.dedup.....01197d6fb7903d7227c7aab702ce0147