Function to calculate the drawdown of a Boulton model
boulton_solution(ptest, a, t0, t1, phi, t)
ptest | A pumping_test object |
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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 (early time) |
t1 | Intercept of the straight line fitted to the drawdown data using the Cooper-Jacob approach (late time) |
phi | Delay parameter. Dimensionless parameter defined as $$\phi = \frac{\alpha_{1} r^{2} S}{T}$$ where \(\alpha_{1}\) is a fitting parameter without a physical estimation, \(r\) is the distance between the pumping and observation well, \(S\) is the storage coefficient and \(T\) is the transmissivity. |
t | Numeric vector with the time values |
A vector with the calculated drawdown
Boulton, N. The drawdown of the water-table under non-steady conditions near a pumped well in an unconfined formation. Proceedings of the Institution of Civil Engineers, 1954, 3, 564-579
Other boulton functions: boulton_WF_LT
,
boulton_calculate_parameters
,
boulton_solution_dlogt
,
boulton_well_function
data(boulton) ptest <- pumping_test("Well1", Q = 0.03, r = 20, t = boulton$t, s = boulton$s) boulton_sol0 <- boulton_solution_initial(ptest) boulton_sol1 <- boulton_solution(ptest, boulton_sol0$a, boulton_sol0$t0, boulton_sol0$t1, boulton_sol0$phi, boulton$t)