theis_well_function: theis_well_function

In khaors/pumpingtest: R Package for the analysis and evaluation of pumping tests

theis_well_function

Description

Function to evaluate the Theis well function:

W(u) = \int_{u}^{\infty} \frac{\exp{-u}}{u} du

Usage

theis_well_function(td, par = NULL)

Arguments

td	Dimensionless time t_n defined as t_d=\frac{4Tt}{r^{2}S} where r is the distance between the pumping and observation well in m, S is the storage coefficient (dimensionless), T is the Transmisivity in m2/s and t is the time in s
par	additional parameters

Value

This function returns the value of the Theis well function

Author(s)

Oscar Garcia-Cabrejo [e-mail]

References

Theis, C. The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage. Transactions of the American Geophysical Union, 1935, 2, 519-524

See Also

Other theis functions: exponential_integral, theis_WF_LT_dlogt, theis_WF_LT, theis_calculate_parameters, theis_solution_dlogt, theis_solution_initial, theis_solution, theis_well_function_large, theis_well_function_small

Examples

u <- seq(0.05,30,0.05)
td <- 1.0/u
W <- theis_well_function(td, par)
plot(td, W, type = "l", log = "xy")

khaors/pumpingtest documentation built on June 10, 2025, 4:53 a.m.