sncFun.01110 {spsh}

Unimodal van Genuchten Non-Capillary Saturation Model

Description

Analytical implementation of the non-capillary saturation function (van Genuchten 1980).

Usage

sncFun.01110(p_snc, h)

Arguments

p_snc

vector of the 2 van Genuchten Mualem model and h0, the order is sensitve and has to be given as:

alf1	van Genuchten alpha [cm-3]
n1	van Genuchten n [-]
h0	pressure head representing oven dryness given in pF, i.e. log[10](|pressure head| [cm])

h

pressure heads [cm] for which the corresponding retention and conductivity values are calculated.

Details

The function is Eq. Table 1-C1 in insertRefStreck.2020spsh using eq 21 which can be used to accelerate the convergence of the sum. The analytical solution presented in sncFun.01110 only requires the Brooks-Corey model parameters

Value

returns a list with calculations at specified h:

snc

non-capillary saturation

References

van Genuchten MT (1980). “Closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Science Society of America Journal, 44(5), 892–898. ISSN 03615995 (ISSN). Weber TK, Durner W, Streck T, Diamantopoulos E (2019). “A modular framework for modelling unsaturated soil hydraulic properties over the full moisture range.” Water Resources Research. ISSN 0043-1397, doi: 10.1029/2018WR024584. Streck T, Weber TKD (2020). “Analytical expressions for noncapillary soil water retention based on popular capillary retention models, accepted.” Vadose Zone Journal. ISSN 15391663 (ISSN).

Examples

p      <- c(0.1, 0.4, .01, 2, 100, .5)
# add h0
p_snc  <- c(p[3:4], 6.8)
h      <- 10^seq(-2, 6.8, length = 197)
Se     <- shypFun.01110(p, h)$Se
snc    <- sncFun.01110(p_snc, h)