1. Soil Physics with HYDRUS: Chapter 4 Equations, Tables, and Figures

2. 4.1 – 4.5

3. 4.6 – 4.9

4. 4.10 – 4.13

5. 4.14 – 4.18

6. 4.19 – 4.23

7. 4.24 – 4.28

8. 4.29 – 4.33

9. 4.34 – 4.35

10. 4.36 – 4.39

11. 4.40 – 4.44

12. 4.45 – 4.48

13. 4.49 – 4.51

14. 4.52 – 4.55

15. 4.56 – 4.60

16. 4.61 – 4.62

17. TABLE 4.1 Laplace transforms (Jury and Roth, 1990). f(z,t)f(z,t) L [ f(z,t)] Transform # δ (t) 11* 11/s2 tNtN N!/s N+1 3** exp(-at)1/(s+a)4 sin(at)/a1/(s 2 +a 2 )5 cos(at)s/(s 2 +a 2 )6 Az/(2t)exp(-zs 1/2 )7 A[exp(-zs 1/2 )]/s 1/2 8 B[exp(-zs 1/2 )]/s9 2tA-zB[exp(-zs 1/2 )]/(s 3/2 )10 (C+D)/2[exp(-zs 1/2 )]/(s-a 2 )11 (C-D)/(2a)[exp(-zs 1/2 )]/[s 1/2 (s-a 2 )]12 A-aD[exp(-zs 1/2 )]/(s 1/2 +a)13 D[exp(-zs 1/2 )]/[s 1/2 (s 1/2 +a)]14