| Autor: |
Ghanbarian, Behzad, Ebrahimian, Hamed, Hunt, Allen G., van Genuchten, M. Th. |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Agricultural Water Management Volume 210, 30 November 2018, Pages 208-216 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.agwat.2018.08.010 |
| Popis: |
A fundamental and widely applied concept used to study surface flow processes is the advance-time curve characterized by an empirical power law with an exponent r and a numerical prefactor p (i.e., x = p*t^r). In the literature, different values of r have been reported for various situations and types of surface irrigation. Invoking concepts from percolation theory, we related the exponent r to the backbone fractal dimension Db, whose value depends on two factors: dimensionality of the system (e.g., two or three dimensions) and percolation class (e.g., random or invasion percolation with/without trapping). We showed that the theoretical bounds of Db are in well agreement with experimental ranges of r reported in the literature for two furrow and border irrigation systems. We also used the value of Db from the optimal path class of percolation theory to estimate the advance-time curves of four furrows and seven irrigation cycles. Excellent agreement was obtained between the estimated and observed curves. |
| Databáze: |
arXiv |
| Externí odkaz: |
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