Slug test steps
slug_test.RmdCooper Bredehoeft Papadopulos 1967
# check vs. CBP 1967 table 1
Tt_r2 <- rep(c(1.0, 2.15, 4.64), 4) * 10^(rep(c(-3, -2, -1, 0), each = 3))
a_01 <- c(0.9771, 0.9658, 0.9490, 0.9238, 0.8860, 0.8283,
0.7460, 0.6289, 0.4782, 0.3117, 0.1665, 0.07415)
a_0001 <- c(0.9969, 0.9949, 0.9914, 0.9853, 0.9744, 0.9545,
0.9183, 0.8538, 0.7436, 0.5729, 0.3543, 0.1554)
a_000001 <- c(0.9992, 0.9985, 0.9970, 0.9942, 0.9888, 0.9781,
0.9572, 0.9167, 0.8410, 0.7080, 0.5038, 0.2620)
dat <- list(x = Tt_r2)
formula = formula(x~.)
frec1 = recipe(formula = formula, data = dat) |>
step_slug_cbp(
time = x,
radius = 1.0,
radius_casing = 1.0,
radius_well = 1.0,
specific_storage = 1e-1,
hydraulic_conductivity = 1.0,
thickness = 1.0,
head_0 = 1.0,
n_terms = 12L
) |>
plate("dt")
plot(slug_cbp~x, frec1, type = "l")
points(a_01~dat$x, col = "red", pch = 20L)
# estimate transmissivity with bouwer rice
data(bouwer)
bw <- as.data.frame(bouwer)
rc <- 4/2/12 # radius of 2 inches
rw <- 8.25/2/12 # radius of screen
Le <- 10.0 # screen length
y0 <- 1.44 # initial drawdown
Lw <- 17.92 # height of water above screen bottom
wl <- 6.08 # static wl
H <- 18.92 # height of water level above base
t <- as.numeric(bouwer$datetime - bouwer$datetime[1L]) # elapsed time
y <- wl - bouwer$val # change in wl
bouwer_rice(t, y, rw, rc, Le, Lw, H) * 86400 # should be ~4.5
#> [1] 4.45846References
Bouwer, H., 1989. The Bouwer and Rice Slug Test—An Update a. Groundwater, 27(3), pp.304-309.
Cooper, H.H., J.D. Bredehoeft and S.S. Papadopulos, 1967. Response of a finite-diameter well to an instantaneous charge of water, Water Resources Research, vol. 3, no. 1, pp. 263-269.
sessionInfo()
#> R version 4.4.3 (2025-02-28)
#> Platform: x86_64-pc-linux-gnu
#> Running under: Ubuntu 24.04.2 LTS
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#> attached base packages:
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#> [1] hydrorecipes_0.0.6 Bessel_0.6-1
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