Hydrology

1 . \quad \Delta \mathrm{S}=\mathrm{P}-(\mathrm{E}+\mathrm{T}+\mathrm{I}+\mathrm{Q})

\text { 2. } \quad \text { Average precipitation }=\left(\Sigma \mathrm{P}_{\mathrm{i}} \mathrm{A}_{i} / \Sigma \mathrm{A}_{\mathrm{i}}\right)

\text { 3. } \quad Q_{p}=C I A

\text { 4. } \quad f=f_{\mathrm{c}}+\left(f_{0}-f_{\mathrm{c}}\right) \mathrm{e}^{-\mathrm{kt}}

\begin{aligned} &5 \text { . }\\ &F(t)=\int_{0}^{t} f d t=f_{c} t+\left[\frac{f_{0}-f_{c}}{k}\right]\left(1-e^{-k t}\right) \end{aligned}

\text { 8. } \quad H=\frac{p}{\gamma}+z+\frac{v^{2}}{2 g}

\text { 9. } E=y+\frac{Q^{2}}{2 g A^{2}}

\text { 10. } y_{c}=\left(\frac{q^{2}}{g}\right)^{1 / 3}

\text { 11. } \frac{Q^{2}}{g}=\left(\frac{A^{3}}{B}\right)

\text { 12. } \quad F_{r}=\frac{V}{\sqrt{g D}}

\text { 12a. } \quad \frac{y_{2}}{y_{1}}=\frac{\sqrt{1+8 F_{r 1}^{2}}-1}{2}

\text { 13. } Q=\frac{C_{n}}{n} A R_{h}^{2 / 3} S_{0}^{1 / 2}

\text { 14. Area }=\frac{h}{2}\left[y_{0}+2\left(y_{1}+y_{2}+y_{3}+\ldots \ldots+y_{n-1}\right)+y_{n}\right]

\begin{aligned} &15\\ &T_{R}=\frac{D}{2}+t_{p} \end{aligned}

\text { 16. } \quad Q_{p}=\frac{484 A}{T_{R}}

\text { 17. } \quad t_{p}=\frac{l^{0.8}(S+1)^{0.7}}{1900 y^{0.5}}

\text { 18. } \quad S=\frac{1000}{C N}-1

\begin{array}{ll} 19 . & B=1.67 \mathrm{~T}_{\mathrm{R}} \end{array}

\text { 20. Snyder's method }

\text { 21. } \quad t_{p}=C_{t}\left(L L_{c}\right)^{0.3}

\text { 22. } \quad Q p=\frac{640 C_{p} A}{t_{p}}

\text { 23. } \quad \mathrm{T}_{\mathrm{b}}=3=\mathrm{t}_{\mathrm{p}} / 8

\text { 24. } \quad I-Q=\frac{\Delta S}{\Delta t}

\text { 25. } \quad \frac{I_{1}}{2}+\frac{I_{2}}{2}-\frac{Q_{1}}{2}-\frac{Q_{2}}{2}=\frac{S_{2}-S_{1}}{\Delta t}

\text { 30. } \quad C_{1}=\frac{K x+0.5 \Delta t}{D}

\text { 26. } \quad S=K[x I+(I-x) Q]

\text { 27. } \quad S_{2}-S_{1}=K\left[x\left(I_{2}-I_{1}\right)+(1-x)\left(Q_{2}-Q_{1}\right)\right]

\text { 28. } \quad Q_{2}=C_{0} I_{2}+C_{1} I_{1}+C_{2} Q_{1}

\text { 29. } \quad C_{0}=\frac{-K x+0.5 \Delta t}{D}

\text { 31. } \quad C_{2}=\frac{K-K x-0.5 \Delta t}{D}

\text { 32. } D=K-K x+0.5 \Delta t

\text { 33. } \quad\left(I_{n}=I_{n+1}\right)+\left(\frac{2 S_{n}}{\Delta t}-Q_{n}\right)=\left(\frac{2 S_{n+1}}{\Delta t}+Q_{n+1}\right)

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