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Papadopulos-Cooper 1967 solution for wellbore storage.

Usage

step_aquifer_wellbore_storage(
  .rec,
  time,
  flow_rate = 1,
  radius = 0.15,
  radius_casing = 0.15,
  radius_well = 0.15,
  thickness = 1,
  specific_storage = 1e-06,
  hydraulic_conductivity = 1e-04,
  n_terms = 12L,
  role = "predictor",
  ...
)

Arguments

.rec

the R6 recipe object.

time

the time for evaluation (t)

flow_rate

the flow rate from the well (L^3/t)

radius

the distance to the observation location (L)

radius_casing

radius of casing in the interval over which the water level declines (L)

radius_well

effective radius of well screen or open hole (L)

thickness

the aquifer thickness (L)

specific_storage

specific storage of aquifer (L/L)

hydraulic_conductivity

the hydraulic conductivity (L/t)

n_terms

number of terms for laplace solution inversion

role

character - the name of the role

...

additional arguments

Value

The drawdown using the Papadopulos-Cooper model

References

Papadopulos, I.S. and H.H. Cooper, 1967. Drawdown in a well of large diameter, Water Resources Research, vol. 3, no. 1, pp. 241-244.

Examples

dat <- data.frame(x = 10^seq(-5, 2, length.out = 100),
                  y = rep(0.01, 100))
formula <- as.formula(y~x)

frec = recipe(formula = formula, data = dat) |>
  step_aquifer_wellbore_storage(time = x,
                                flow_rate = 10.0,
                                hydraulic_conductivity = 10.0,
                                specific_storage = 1e-4) |>
  prep() |>
  bake()