Page 343 - Hydrogeology Principles and Practice

HYDD01 12/5/05 5:31 PM Page 326

Values of W(u) for
Appendix 6
various values of u

u u values
1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0

× 1 0.219 0.049 0.013 0.0038 0.0011 0.00036 0.00012 0.000038 0.000012
× 10 −1 1.82 1.22 0.91 0.70 0.56 0.45 0.37 0.31 0.26
× 10 −2 4.04 3.35 2.96 2.68 2.47 2.30 2.15 2.03 1.92
× 10 −3 6.33 5.64 5.23 4.95 4.73 4.54 4.39 4.26 4.14
× 10 −4 8.63 7.94 7.53 7.25 7.02 6.84 6.69 6.55 6.44
× 10 −5 10.94 10.24 9.84 9.55 9.33 9.14 8.99 8.86 8.74
× 10 −6 13.24 12.55 12.14 11.85 11.63 11.45 11.29 11.16 11.04
× 10 −7 15.54 14.85 14.44 14.15 13.93 13.75 13.60 13.46 13.34
× 10 −8 17.84 17.15 16.74 16.46 16.23 16.05 15.90 15.76 15.65
× 10 −9 20.15 19.45 19.05 18.76 18.54 18.35 18.20 18.07 17.95
× 10 −10 22.45 21.76 21.35 21.06 20.84 20.66 20.50 20.37 20.25
× 10 −11 24.75 24.06 23.65 23.36 23.14 22.96 22.81 22.67 22.55
× 10 −12 27.05 26.36 25.96 25.67 25.44 25.26 25.11 24.97 24.86
× 10 −13 29.36 28.66 28.26 27.97 27.75 27.56 27.41 27.28 27.16
× 10 −14 31.66 30.97 30.56 30.27 30.05 29.87 29.71 29.58 29.46
× 10 −15 33.96 33.27 32.86 32.58 32.35 32.17 32.02 31.88 31.76
∞
e − u du
W(u), the well function, = u = [−0.5772 − log u + u − u /2.2! + u /3.3! − u /4.4! + ...] eq. A6.1
3
4
2
e
u
where
2
=
u rS eq. A6.2
4 Tt