Function to calculate the derivative of the drawdown with respect to log of time of the Cooper-Jacob solution
cooper_jacob_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 | Numeric vector with the time at which measurements were taken |
A numeric vector with the values of the derivative of drawdown with respect to log of time
Cooper, H. & Jacob, C. A generalized graphical method for evaluating formation constants and summarizing well field history. Transactions of the American Geophysical Union, 1946, 27, 526-534
Other cooper_jacob functions: cooper_jacob_calculate_parameters,
cooper_jacob_solution_initial,
cooper_jacob_solution,
cooper_jacob_well_function
data(theis) ptest <- pumping_test("Well1", Q= 1.3e-3, r = 200, t = theis$t, s = theis$s) sol0 <- cooper_jacob_solution_initial(ptest) sol_dlogt <- cooper_jacob_solution_dlogt(ptest, sol0$a, sol0$t0, ptest$t) print(sol_dlogt)#> [1] 0.6665904 0.6665904 0.6665904 0.6665904 0.6665904 0.6665904 0.6665904 #> [8] 0.6665904 0.6665904 0.6665904 0.6665904 0.6665904 0.6665904 0.6665904 #> [15] 0.6665904 0.6665904 0.6665904 0.6665904 0.6665904 0.6665904 0.6665904 #> [22] 0.6665904