1Volumetric discharge, $\it Q$ (equation in terms of $\it K$)
$\it Q=-K\left(\frac{dh}{dl}\right)A$
2Discharge per unit width, $\it Q$ (equation in terms of $\it T$)
$\it \frac{Q}{W}=-T\left(\frac{dh}{dl}\right)$
3Specific discharge, $\it q$ (equation)
$\it q=-K\left(\frac{dh}{dl}\right)$
4Transmissivity (equation in terms of $\it K_h$)
$\it T=K_{h}b$
5Transmissivity (definition)
horizontal transmission capacity over an aquifer's thickness
6Dupuit assumption for transmissivity
water primarily flows horizontally in an unconfined aquifer (vertical flow is negligible)
7Storativity (definition)
volume of water an aquifer releases from storage per unit area (viewed from above) per unit decline in hydraulic head
8Storativity, $\it S$ (equation in terms of $\it V_{\mathrm{released}}$, $\it A$, and $\it \Delta h$)
$\it S=\frac{V_{\mathrm{released}}}{A\cdot \Delta h}$
9Volume released from an aquifer per unit area (viewed from above), $\it V_{\textup{released}}$ (equation in terms of $\it S$)
$\it \frac{V_{\mathrm{released}}}{A}= S\cdot \Delta h$
10Homoegeneous Medium (definition)
hydraulic conductivity doesn't change with location
11Heterogeneous Medium (definition)
hydraulic conductivity changes with location
12Isotropic (definition)
K is the same in every direction at a certain location in a medium
13Anisotropic (definition)
K varies by direction at a certain location in a medium
14Porosity (definition)
fraction of void space in a medium (not occupied by grains or rock)
15Porosity, $\it n$ (equation in terms of volumes)
$\it n=\frac{V_{\mathrm{void space}}}{V_{\mathrm{bulk}}}$
16Porosity, $\it n$ (equation in terms of densities)
$\it n=\mathrm{1}-\frac{\rho_{\mathrm{particles}}}{\rho_{\mathrm{bulk}}}$
17Hydraulic conductivity for layered media parallel to flow, $\it K_{\mathrm{eq}}$ (eq. using $\it b_j$ and $\it B$, layer and total thicknesses)
$\displaystyle \it K_{\mathrm{eq}}=\sum_{j}K_j\left(\frac{b_j}{B}\right)$
18Hydraulic conductivity for layered media perpendicular to flow, $\it K_{\mathrm{eq}}$ (eq. using $\it b_j$ and $\it B$, layer and total thicknesses)
$\it K_{\mathrm{eq}}=\dfrac{\mathrm{1}}{\displaystyle{\sum_{j}}\left(\dfrac{1}{K_j}\right)\left(\dfrac{b_j}{B}\right)}$
19Hydraulic head, $\it h$ (equation in terms of elevation and pressure heads)
$\it h=z+\psi$
20Elevation head, $\it z$ (definition)
gravitational potential energy per unit weight (elevation about a datum)
21Pressure head, $\psi$ (definition)
static pressure energy per unit weight
22Boundary types (names, definitions)
Constant head (recharge), Zero gradient (no flow; impermeable barrier or line of symmetry), Water table (hydraulic head is known, may or may not be an equipotential line)
23Potentiometric surface (definition)
imaginary surface representing the elevations to which water would rise at atmospheric pressure; using many piezometers tapping an aquifer at different locations, we can plot and contour an approximate potentiometric surface
24Fluid potential, $\it \Phi$ (equation in terms of mechanical energy)
$\it \Phi=\frac{\mathrm{ME}_{\mathrm{total}}}{m}=hg$
25Hydraulic head, $\it h$ (equation in terms of mechanical energy)
$\it h=\dfrac{\mathrm{ME}_{\mathrm{total}}}{mg}=\Phi/g$