1980
DOI: 10.2136/sssaj1980.03615995004400060004x
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Simple Method for Predicting Drainage from Field Plots

Abstract: When the one‐dimensional moisture flow equation is simplified by applying the unit gradient approximation, a first‐order partial differential equation results. The first‐order equation is hyperbolic and easily solved by the method of P. D. Lax. Three published K(θ) relationships were used to generate three analytical solutions for the drainage phase following infiltration. All three solutions produced straight lines or nearly straight lines when log of total water above a depth was plotted versus log of time. … Show more

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Cited by 105 publications
(103 citation statements)
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“…Sisson et al (1980) applied the kinematic wave approach to internal drainage but Smith (1983) was the first to develop a complete kinematic wave model for soil moisture movement and Beven (1982) used it to describe two-dimensional flow in a sloping soil. Charbeneau (1984) extended Smith's work to solute transport and Charbeneau et al (1989) to multiphase solute transport.…”
Section: Materials and Methods Kinematic Wave Theorymentioning
confidence: 99%
See 1 more Smart Citation
“…Sisson et al (1980) applied the kinematic wave approach to internal drainage but Smith (1983) was the first to develop a complete kinematic wave model for soil moisture movement and Beven (1982) used it to describe two-dimensional flow in a sloping soil. Charbeneau (1984) extended Smith's work to solute transport and Charbeneau et al (1989) to multiphase solute transport.…”
Section: Materials and Methods Kinematic Wave Theorymentioning
confidence: 99%
“…For conditions of steady, vertical, gravity-driven flow equation through the unsaturated zone (where z is taken in the downward direction for convenience) a unit hydraulic gradient, ∇h = [0, 0, -1], is conventionally specified (Sisson et al, 1980). Therefore, assuming that ( / 1) h z ∂ ∂ = (Rasmussen at al., 2000) Equation (6) can be written as:…”
Section: Approach: the Kinematic Diffusion Modelmentioning
confidence: 99%
“…the solutions to which are supplied by Lax (1972) and Sisson et al (1980) for different analytical expressions for K().…”
Section: Lax-θ Methodsmentioning
confidence: 99%
“…Isso foi de grande interesse para profissionais da área porque somente medindo a umidade volumétrica durante a redistribuição da água no perfil poder-se-ia obter a condutividade hidráulica. Vári-os métodos de campo incorporaram essa suposição (Libardi et al, 1980;Sisson et al, 1980;Chong et al, 1981), embora sua validade seja frequentemente questionada. Os principais argumentos contra a utilização do gradiente hidráulico unitário referem-se ao fato de que a hipótese seria mais adequada a um perfil homogêneo (Reichardt, 1993;Bacchi & Reichardt, 1993;Falleiros et al, 1998) e de que os gradientes hidráulicos são influenciados pela natureza e complexidade do solo, variando com o tempo e a profundidade, não permanecendo, portanto, unitários durante o processo (Chong et al, 1981;Ahuja et al, 1988).…”
Section: Introductionunclassified