Analytical model of infiltration under constant-concentration boundary conditions

D. Triadis, P. Broadbridge

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


Known integrable models for ID flow in unsaturated soil have a rescaled soil water diffusivity that is either constant or proportional to C(C - 1)/(C - Θ) 2, where Θ is the degree of saturation and C > 1 is constant. With a wider more realistic range of hydraulic conductivity functions than has been used in this context before, a formal series solution is developed for infiltration, subject to constant-concentration boundary conditions. A readily programmed iteration algorithm, applicable for any value of C, is used to construct many coefficients of the infiltration series without requiring any numerical integration. In particular, for either C-1 small or 1/C small, several infiltration series coefficients are constructed as formal power series in C - 1 or in 1/C, for which we construct a number of terms explicitly. In the limit as the diffusivity approaches a delta function, the infiltration coefficients are obtained in simpler closed form. All but the sorptivity depend on the form of the conductivity function.

Original languageEnglish
Article numberW03526
JournalWater Resources Research
Issue number3
Publication statusPublished - 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Water Science and Technology


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