For the conditions of problem 11.3, assume h 1 = 40 m, h 2 = 30 m, L = 5, 000 m, K = 40 m/d, and Q p = 2 m 2 /d. (a) Calculate the distribution of the piezometric head in the aquifer after two days of...

For the conditions of problem 11.3, assume h₁
= 40 m, h₂
= 30 m, L = 5, 000 m, K = 40 m/d, and Q_p
= 2 m²/d.

(a) Calculate the distribution of the piezometric head in the aquifer after two days of pumping.

(b) Calculate the piezometric head distribution under the new steady state conditions.

problem 11.3

Develop the differential equation and a finite difference numerical implicit scheme for the calculation of piezometric head distribution and flow in a phreatic aquifer. Initially the aquifer flow is subject to the boundary conditions h = h₁
at x = 0 and h = h₂
at x = L. The hydraulic conductivity of the aquifer is K. At time t = 0, a series of pumping wells started pumping a discharge Q_p
per unit width of the aquifer at x = L/2.