Soil Water Retention, based on the modified van Genuchten's formula
Function to calculate the soil water content based on the modified van Genuchten's formula, as suggested by Pierson and Mulla (1989):
θ = θ_R + (θ_S - θ_R)(1 + (α x)^n)^{-m} + b_0 + b_1 x + b_2 * x^2
soilwater5(x, theta_R, theta_S, alpha, n, m = 1 - 1/n, b0, b1, b2)
x |
the matric potential. |
theta_R |
the residual water content. |
theta_S |
the water content at saturation. |
alpha |
a scale parameter of the van Genuchten's formula. |
n |
a shape parameter in van Genuchten's formula. |
m |
a shape parameter in van Genuchten's Formula. Default is 1-1/n (Mualem, 1976). |
b0 |
a parameter added to the van Ganuchten's formula. |
b1 |
a parameter added to the van Ganuchten's formula. |
b2 |
a parameter (of quadratic term) added to the van Ganuchten's formula. |
The the soil water content or the saturation index (a value between 0 and 1).
Anderson Rodrigo da Silva <anderson.agro@hotmail.com>
Pierson, F.B.; Mulla, D.J. (1989) An Improved Method for Measuring Aggregate Stability of a Weakly Aggregated Loessial Soil. Soil Sci. Soc. Am. J., 53:1825–1831.
soilwater5(x = 20, theta_R = 0.2735, theta_S = 0.478, alpha = 0.1029, n = 9.45, b0 = 0.2278, b1 = -0.0165, b2 = 0.000248) curve(soilwater5(x, theta_R = 0.2735, theta_S = 0.478, alpha = 0.1029, n = 9.45, b0 = 0.2278, b1 = -0.0165, b2 = 0.000248), from = 0, to = 40, ylab = "Water content", xlab = "Matric potential") # End (Not run)
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