Function to calculate the derivative of the drawdown with respect to the log of time
theis_solution_dlogt(ptest, a, t0, t)
| ptest | A pumping_test object |
|---|---|
| a | Slope of the straight line fitted to the drawdown data using the Cooper-Jacob approach |
| t0 | Intercept of the straight line fitted to the drawdown data using the Cooper-Jacob approach |
| t | value |
This function returns the derivative of the drawdown with respect to the derivative of log time
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
Other theis functions: exponential_integral,
theis_WF_LT_dlogt,
theis_WF_LT,
theis_calculate_parameters,
theis_solution_initial,
theis_solution,
theis_well_function_large,
theis_well_function_small,
theis_well_function
data(theis) ptest <- pumping_test("Well1", Q = 1.3e-3, r = 200, t = theis$t, s = theis$s) sol0 <- theis_solution_initial(ptest) resd <- theis_solution_dlogt(ptest, sol0$a, sol0$t0, theis$t) print(resd)#> [1] 0.3096565 0.4208233 0.5002695 0.5506366 0.5944431 0.6059090 0.6175887 #> [8] 0.6275940 0.6348769 0.6367353 0.6416133 0.6451207 0.6477642 0.6498280 #> [15] 0.6514839 0.6549373 0.6571055 0.6589908 0.6607363 0.6618297 0.6625790 #> [22] 0.6635394