In jkennel/hydrorecipes: Hydrogeology steps

knitr::opts_chunk$set(
  collapse = TRUE,
  comment = "#>"
)
library(hydrorecipes)

Cooper 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

References

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.