3) (10 pt) On another project, your consulting firm has been hired to install a

Question

3) (10 pt) On another project, your consulting firm has been hired to install a large 1 m diameter without incurring energy losses due to town of Bleaksburg. Your goal is to pump as much as you can trom the well without incurring energy losses due to turbulence. If the aquifer thickness is 10 m, and the effective grain diameter is 0.6 mm, what is maximum pumping rate (m/s) that the production well can be pumped? Assume the water is fresh and is at 16 Co. Use appendix 14 in Fetter. Show your work. 3) (8 pt) K1, K2, Ks, K4 and Ks are 10, 10, 103, 10-12, and 1025 m/day, respectively. And bi, b2, bs, b4, and bs are 20, 5, 23, 15, and 40 m thick, respectively. Calculate: a) the effective horizontal hydraulic conductivity (m/day) b) the effective vertical hydraulic conductivity (m/day) c) the anisotropic ratio which is defined as the ratio of the average horizontal over the vertical hydraulic conductivity. Kr Ka ba bs

Explanation / Answer

3. For horizontal hydraulic conductivity

Effective hyraulic conductivity is

Kx= K1b1+K2b2+K3b3+K4b4+K5b5/ b1+b2+b3+b4+b5

= 10-2*20+10-9*5+10-3*23+10-12*15+10-2.5*40/ 20+5+23+15+40

0.349/103 = 0.003 m/day

For vertical hydraulic conductivity

Kz= B1+......+B5/ (B1/K1+ B2/K2+......+B5/K5)

= 103/ (20/10-2+ 5/10-9+ 23/10-3+ 15/10-12+ 40/10-2.5)

= 103/ 1.50*1013

= 0.68*10-15 m/day

Ratio is Kx/ Kz= 0.003/ 0.68*10-15

= 4.412*1010:1

Kx is always greater than Kz

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