Write Darcy's equation in 2-D. There are three piezometers in an unconfined sand aquifer as shown below. The head measurements at A = 104.56 ft, B = 104.53 ft, C = 103.42 ft. The rate of recharge here is estimated to be 1.25 ft/yr. The average horizontal hydraulic conductivity (Kx) is 8 ft/dy. Assume that in the vicinity of these three piezometers, the vertical specific discharge (qz) equals the recharge rate.
a. Estimate the vertical hydraulic conductivity using the heads at wells A and B.
b. Estimate the horizontal specific discharge (qx), using the heads at wells B and C.
c. Make a scaled vector sketch showing the x and z components of the specific discharge and the resulting total specific discharge. Assume there is no flow in the y-direction