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\def\Re{{\rm I\!R}}

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{\newpage
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\samepage \begin{displaymath}q= -K*\frac{(h_2 -h_1)}{L}\end{displaymath}
}

{\newpage
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{\newpage
\clearpage
\samepage \begin{figure}[hbt]
\centerline{\psfig{figure=appC.eps,height=3in}}

\label{apparatus}
\end{figure}
}

{\newpage
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{\newpage
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\samepage \setbox\sizebox=\hbox{$v \propto -\Delta h  \hspace{.25in} v\propto \frac{1}{\Delta l}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline988: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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{\newpage
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\samepage \begin{displaymath}v = -K \frac{\Delta h}{\Delta l}\end{displaymath}
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\stepcounter{subsection}
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{\newpage
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{\newpage
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\samepage \begin{displaymath}v_x = - K_x \frac{\partial h}{\partial x}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}v_y = - K_y \frac{\partial h}{\partial y}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}v_z = - K_z \frac{\partial h}{\partial z}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{figure}[hbt]
\centerline{\psfig{figure=cube.eps,height=4in}}

\label{cube}
\end{figure}
}

{\newpage
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{\newpage
\clearpage
\samepage \begin{displaymath}\mbox{mass inflow = fluid density $\times$ velocity  $\times$ cross-sectional area}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\rho v_x \delta y \delta z \hspace{1in} \mbox{$x$ direction}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\rho v_y \delta x \delta z \hspace{1in} \mbox{$y$ direction}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\rho v_z \delta x \delta y \hspace{1in} \mbox{$z$ direction}\end{displaymath}
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{\newpage
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{\newpage
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{\newpage
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{\newpage
\clearpage
\samepage \begin{displaymath}\left(\rho v_x + \frac{\partial (\rho v_x)}{\partial x} \delta x \right) \delta y \delta z  \hspace{1in} \mbox{$x$ direction}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\left(\rho v_y + \frac{\partial (\rho v_y)}{\partial y} \delta y \right) \delta x \delta z \hspace{1in} \mbox{$y$ direction}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\left(\rho v_z + \frac{\partial (\rho v_z)}{\partial z} \delta z \right) \delta x \delta y \hspace{1in} \mbox{$z$ direction}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\mbox{Total net inward flux} = - \left( \frac{\partial (\rho v_x)}{\partial x} +\frac{\partial (\rho v_y)}{\partial y} +\frac{\partial (\rho v_z)}{\partial z} \right) V\end{displaymath}
}

{\newpage
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{\newpage
\clearpage
\samepage \begin{displaymath}- \left( \frac{\partial (\rho v_x)}{\partial x} +\frac{\partial (\rho v_y)}{\partial y} +\frac{\partial (\rho v_z)}{\partial z} \right) V = \frac{\partial(M)}{\partial t}\end{displaymath}
}

{\newpage
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\samepage \setbox\sizebox=\hbox{% latex2html id marker 1104
$\rho \theta \partial x \partial y \partial z $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1104: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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{\newpage
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{\newpage
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\samepage \begin{equation}% latex2html id marker 155
\frac{(\partial \rho v_x)}{\partial x} + \frac{(\partial \rho v_y)}{\partial y} + \frac{(\partial \rho v_z)}{\partial z} = - \frac{\partial (\rho\theta)}{\partial t}
\label{eq:Cont}
\end{equation}
}

{\newpage
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{\newpage
\clearpage
\samepage \begin{displaymath}v_s = - K \frac{\partial h}{\partial s}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{equation}K_x\frac{\partial ^2h}{\partial x^2} +K_y\frac{\partial ^2h}{\partial y^2}+K_z\frac{\partial ^2h}{\partial z^2} =S_s\frac{\partial h}{\partial t}   \label{eq:Kgov} 
\end{equation}
}

\stepcounter{section}
{\newpage
\clearpage
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{\newpage
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\samepage \setbox\sizebox=\hbox{$K_x = K_y = K_z$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1136: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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{\newpage
\clearpage
\samepage \begin{equation}\frac{\partial ^2h}{\partial x^2} +\frac{\partial ^2h}{\partial y^2}= \frac{S_s}{\kappa} \frac{\partial h}{\partial t} = \frac{S}{T} \frac{\partial h}{\partial t}
\label{eq:gov}
\end{equation}
}

{\newpage
\clearpage
\samepage \begin{equation}\frac{\partial^2s}{\partial r^2} + \frac{1}{r}\frac{\partial s}{\partial r} =\frac{1}{\kappa} \frac{\partial s}{\partial t}
\label{eq:radial}
\end{equation}
}

{\newpage
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{\newpage
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{\newpage
\clearpage
\samepage \begin{figure}[ht]
\centerline{\psfig{figure=conef.eps,height=4.5in}}

\label{cone}
\end{figure}
}

{\newpage
\clearpage
\samepage \begin{figure}[htb]
\centerline{\psfig{figure=radialC.eps,height=2.3in}}

\label{radial}
\end{figure}
}

{\newpage
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{\newpage
\clearpage
\samepage \begin{displaymath}\frac{\partial^2s}{\partial r^2} + \frac{1}{r}\frac{\partial s}{\partial r} =\frac{1}{\kappa} \frac{\partial s}{\partial t}\end{displaymath}
}

{\newpage
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\samepage \begin{displaymath}s(r,0) = 0\end{displaymath}
}

{\newpage
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{\newpage
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\samepage \begin{displaymath}s(\infty,t) = 0\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}r_w\frac{\partial(s(r_w,t))}{\partial r} = - \frac{Q}{2\pi T}\end{displaymath}
}

\stepcounter{subsection}
{\newpage
\clearpage
\samepage \begin{displaymath}s(r,t) = \frac{Q}{4 \pi T} W(u)\end{displaymath}
}

{\newpage
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{\newpage
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{\newpage
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}

{\newpage
\clearpage
\samepage \begin{displaymath}W(u) = \int_{u}^{\infty} \frac{e^{-y}}{y} \partial y 
\hspace{3mm} = - \gamma - log_e u + u - \frac{u^2}{2 \cdot 2!} + \frac{u^3}{3 \cdot 3!} - \cdot \cdot \cdot \cdot+ (-1)^{n+1} \frac{u^n}{n \cdot n!}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}u= \frac{r^2S}{4Tt}\end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\gamma$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1194: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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{\newpage
\clearpage
\samepage \begin{displaymath}s(r,t) = \frac{114.6Q}{T} W(u)\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}u = \frac{1.87r^2S}{Tt}\end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$s(r,t)$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1198: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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{\newpage
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{\newpage
\clearpage
\samepage \begin{figure}[hb]
\centerline{\psfig{figure=exC.eps,height=4.5in}}

\label{examples}
\end{figure}
}

\appendix
\stepcounter{section}
{\newpage
\clearpage
\samepage \begin{displaymath}K = \frac{kg}{v}
\end{displaymath}
}

{\newpage
\clearpage
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{\newpage
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{\newpage
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{\newpage
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{\newpage
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}

{\newpage
\clearpage
\samepage \begin{displaymath}k = cd^2\end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$^2$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1248: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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\stepcounter{section}
{\newpage
\clearpage
\samepage \begin{equation}Re = \frac{inertial forces}{viscous forces} = \frac{\nu d}{v}
\label{eq:RN}
\end{equation}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\nu$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1258: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

\stepcounter{subsection}
{\newpage
\clearpage
\samepage \begin{displaymath}\nu = \sqrt{2gh}\end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\nu$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1266: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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{\newpage
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}

{\newpage
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}

\stepcounter{section}
{\newpage
\clearpage
\samepage \begin{equation}v_s = \frac{- \kappa \partial (\frac{\rho}{\gamma} + z)}{\partial s}
\label{eq:Dar1}
\end{equation}
}

{\newpage
\clearpage
\samepage \begin{displaymath}h(x,y,t) = \frac{\rho}{\gamma} + z \end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{equation}\frac{\partial h}{\partial s} = \frac{\partial(\frac{\rho}{\gamma} + z)}{\partial s}
\label{eq:Dar2}
\end{equation}
}

{\newpage
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\samepage \begin{equation}v_s = - \kappa \frac{\partial h}{\partial s} 
\end{equation}
}

{\newpage
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\samepage \setbox\sizebox=\hbox{$\kappa$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1282: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
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\samepage \setbox\sizebox=\hbox{$^{-1}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1284: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
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\samepage \setbox\sizebox=\hbox{$\frac{\rho}{\gamma}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1286: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
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\samepage \setbox\sizebox=\hbox{$v_s$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1290: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

\stepcounter{section}
{\newpage
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\samepage \begin{displaymath}\frac{\partial ^2h}{\partial x^2} +\frac{\partial ^2h}{\partial y^2}= \frac{S_s}{\kappa} \frac{\partial h}{\partial t} = \frac{S}{T} \frac{\partial h}{\partial t} \end{displaymath}
}

{\newpage
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\samepage \setbox\sizebox=\hbox{% latex2html id marker 1320
$P(r, \theta)$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1320: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
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\samepage \begin{displaymath}r = \sqrt{x^2 + y^2}\end{displaymath}
}

{\newpage
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\samepage \begin{displaymath}\frac{\partial s}{\partial r} = \frac{\partial s}{\partial r} \frac{\partial r}{\partial x}\end{displaymath}
}

{\newpage
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\samepage \begin{displaymath}\frac{\partial r}{\partial x} = \frac{\partial x}{\partial \sqrt{x^2 + y^2}} = \frac{x}{r}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\frac{\partial^2 r}{\partial x^2} = \frac{r - \frac{\partial r}{\partial x} x}{r^2} = \frac{r - \frac{x}{r} x}{r^2} = \frac{r^2 - x^2}{r^3}\end{displaymath}
}

{\newpage
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\samepage \begin{displaymath}\frac{\partial r}{\partial y} = \frac{\partial y}{\partial \sqrt{x^2 + y^2}} = \frac{y}{r}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\frac{\partial^2 r}{\partial y^2} = \frac{r - \frac{\partial r}{\partial y} x}{r^2} = \frac{r - \frac{y}{r} x}{r^2} = \frac{r^2 - y^2}{r^3}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\frac{\partial h}{\partial x} = \frac{\partial s}{\partial r}\frac{\partial r}{\partial x} = \frac{\partial s}{\partial r} \frac{x}{r}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\frac{\partial^2 h}{\partial x^2} = \frac{\partial^2 s}{\partial r} \frac{\partial r}{\partial x} \frac{\partial r}{\partial x} + \frac{\partial s}{\partial r} \frac{\partial^2 r}{\partial x^2}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\frac{\partial^2 s}{\partial r} \left( \frac{x}{r} \right)^2 + \frac{\partial s}{\partial r}  \frac{r^2 - x^2}{r^3}  \end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\frac{\partial h}{\partial x} \frac{\partial^2 s}{\partial r}  \left( \frac{y}{r} \right)^2 + \frac{\partial s}{\partial r}  \frac{r^2 - y^2}{r^3} \end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\frac{\partial^2 h}{\partial x^2} + \frac{\partial^2 h}{\partial y^2} = \frac{\partial^2 s}{\partial r^2}  \frac{x^2 + y^2}{r^2} + \frac{\partial s}{\partial r} \frac{\partial r^2 - (x^2 + y^2)}{r^3}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}= \frac{\partial^2 s}{\partial r^2} + \frac{\partial s}{\partial r} \frac{r^2}{r^3} \end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}= \frac{\partial^2s}{\partial r^2} + \frac{1}{r} \frac{\partial s}{\partial r}\end{displaymath}
}

\stepcounter{section}
{\newpage
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\samepage \setbox\sizebox=\hbox{$r = .5$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1326: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

\stepcounter{subsection}
{\newpage
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\samepage \setbox\sizebox=\hbox{$\frac{\mbox{m}^3}{\mbox{day}}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1338: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
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\samepage \setbox\sizebox=\hbox{$\frac{\mbox{m}^2}{\mbox{day}}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1344: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \begin{figure}[hbt]
\centerline{\psfig{figure=exam.ps,height=6.5in}}

\label{exam}
\end{figure}
}

\stepcounter{section}
{\newpage
\clearpage
\samepage \begin{table}[hb]
\begin{center}
\begin{tabular}{|c|c|c|c|}
\hline
Unit & Multiply & By & To Obtain\\  \hline\hline
Length & ft & 3.048 $\times 10^{-1}$ & m\\  \hline
& ft & 3.048 $\times 10$ & cm\\  \hline
& ft & 3.048 $\times 10^{-4}$ & km\\  \hline
& mile & 1.609 $\times 10^{3}$ & m\\  \hline
& mile & 1.609 & km\\  \hline \hline
Area & ft$^2$ & 9.290 $\times 10^{-2}$ & m$^2$\\  \hline
& mi$^2$ & 2.590 & km$^2$\\  \hline
& acre & 4.047 $\times 10^3$ & m$^2$\\  \hline
& acre & 4.047 $\times 10^{-3}$ & km$^2$\\  \hline \hline
Volume & ft$^3$ & 2.832 $\times 10^{-2}$ & m$^3$\\  \hline
& U.S. gal & 3.785 $\times 10^{-3}$ & m$^3$\\  \hline
& U.K. gal & 4.546 $\times 10^{-3}$ & m$^3$\\  \hline
& ft$^3$ & 2.832 $\times 10$ & liter\\  \hline 
& U.S. gal & 3.785 & liter\\  \hline
& U.K. gal & 4.546 & liter\\  \hline \hline
Velocity & ft/s &  3.048 $\times 10^{-1}$ & m/s\\  \hline
& ft/s &  3.048 $\times 10$ & cm/s\\  \hline
& mi/h &  4.470 $\times 10^{-1}$ & m/s\\  \hline
& mi/h & 1.609& km/h\\  \hline \hline
Discharge & ft$^3$/s &  2.832$\times 10^{-2}$ & m$^3$/s\\  \hline
& ft$^3$/s &  2.832$\times 10$ & liter/s\\  \hline
& U.S. gal/min & 6.309 $\times 10^{-5}$ & m$^3$/s\\  \hline
& U.K. gal/min & 7.576 $\times 10^{-5}$ & m$^3$/s\\  \hline
& U.S. gal/min & 6.309 $\times 10^{-2}$ & liter/s\\  \hline
& U.K. gal/min & 7.576 $\times 10^{-2}$ & liter/s\\  \hline \hline
Hydraulic Conductivity & ft/s & 3.048 $\times 10^{-1}$ & m/s\\  \hline
& U.S. gal/day/ft$^2$ & 4.720 $\times 10^{-7}$ &m/s\\  \hline \hline
Transmissivity & ft$^2$/s & 9.290 $\times 10^{-2}$ & m$^2$/s\\  \hline
& U.S. gal/day/ft & 1.438 $\times 10^{-7}$ & m$^2$/s \\ \hline
\end{tabular}
\end{center}

\end{table}
}

\stepcounter{section}
{\newpage
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\samepage \setbox\sizebox=\hbox{$\rho$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline1440: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
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\samepage \begin{displaymath}\frac{T}{S} = \frac{Transmissivity}{Storativity}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}\frac{\em K}{\em S_s} = \frac{\em Hydraulic Conductivity}{ \em Specific Storage}\end{displaymath}
}

\stepcounter{section}

\end{document}
