Function to calculate the drawdown of a Boulton model

boulton_solution(ptest, a, t0, t1, phi, t)

Arguments

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 (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

Value

A vector with the calculated drawdown

References

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

See also

Examples

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)