24. Notations

Alpha[latex]\ A[/latex] = cross‑sectional area (L2)
[latex]\alpha[/latex] = compressibility of the aquifer matrix (LT2M-1) , with the exception in the following row
[latex]\alpha[/latex] = in section 9.2.4, angle of refraction, also defined in the row above this row
[latex]b[/latex] = saturated thickness of the aquifer (L), with the exception in the following row
[latex]b[/latex] = in Sections 16 and 17, aperture (distance between walls of fracture) (L), also defined in the row above this row
Beta [latex]\beta[/latex] = compressibility of water (LT2M-1)
d = number of flow tubes, areas bounded by adjacent pairs of flow lines (:)
Delta [latex]\mathrm{\Delta}\sigma[/latex] = change in effective stress (MLT-2)
Delta [latex]\mathrm{\Delta}L/L[/latex] = change in length (thickness) over the total length (L)
[latex]\mathrm{\Delta}Storage[/latex] = change in storage over time in a system that balances input and output
[latex]dh/dl[/latex] = hydraulic gradient or change in hydraulic head (:)
[latex]\partial h/\partial x[/latex] = hydraulic gradient with respect to x (:)
e = void ratio (:)
[latex]f[/latex] = number of equipotential drops across a flow net (:)
[latex]g[/latex] = gravitational acceleration (LT– 2)
h = hydraulic head (L)
Eta [latex]H[/latex] = head of the backwater above the weir crest in ft
Eta [latex]H_{a}[/latex] = heat energy added (L) expressed as height of column of water
Eta [latex]{\ H}_{L}[/latex] = mechanical energy lost (L) expressed as height of column of water
Eta [latex]H_{E}[/latex] = heat energy extracted (L) expressed as height of column of water
i = hydraulic gradient (dh/dl) (:)
Iota I(t) = input to a system over time
k = intrinsic permeability (L2)
K = hydraulic conductivity (LT-1)
L = length of the weir crest in ft
Mu [latex]\mu_{fluid}[/latex] = viscosity of the fluid (ML-1T-1)
Mu μ = viscosity (ML-1T-1)
n = porosity ([latex]:[/latex]), with the exception in the following row
n = in section 13.5.2, Manning roughness coefficient (:), also defined in the row above
ω = gravimetric moisture content (:)
O(t) = output from a system over time
p = pressure (ML-1T-2)
[latex]P_{f}[/latex] = pore fluid pressure (ML-1T-2)
[latex]P_{h}[/latex] = hydrostatic pressure; hydrostatic pore fluid pressure (ML-1T-2)
Phi φ = porosity (:)
Phi [latex]\varphi_{eff}[/latex] = effective porosity (:)
Psi ψ = matric potential (or negative pressure head) (L)
Q = volumetric discharge (L3T-1)
q = specific discharge of groundwater flow (LT-1)
q’ = flow per unit width of aquifer (L2T-1)
r = radius (distance from pumping well) (L)
R = hydraulic radius (L)
Rho[latex]\ \rho_{bulk}[/latex] = bulk density (ML-3)
Rho[latex]\ \rho_{fluid}[/latex] = density of the fluid (ML-3)
Rho [latex]\ \rho_{f}[/latex] = fluid density (ML-3)
s = drawdown (L)
S = storativity, [latex]S = S_{s}b[/latex] (:)
Sd[latex]S_{d}[/latex] = degree of saturation (:)
Sigma [latex]\sigma[/latex] = total vertical stress; also called the normal stress (ML-1T-2)
Sigma σ’ = effective stress, or “grain to grain” stress in the rock (ML-1T-2)
Sigma [latex]\sigma_{v}[/latex] = vertical stress (ML-1T-2)
[latex]S_{r}[/latex] = specific retention (:)
[latex]S_{s}[/latex] = specific storage (L-1)
[latex]S_{y}[/latex] = specific yield (:)
θ = volumetric moisture content (L3L-3)
T = aquifer transmissivity, [latex]T\ = \ Kb[/latex] (L2T-1 )
t = time (T)
u = excess fluid pressure
v = velocity (LT-1)
[latex]v_{avg}[/latex] = average linear velocity (LT-1)
[latex]V_{solids}[/latex] = volume of the solids (L3)
[latex]V_{total}[/latex] = total volume of the sample ((L3)
[latex]V_{voids}[/latex] = volume of the voids (L3)
w = rate of vertical leakage or recharge to the aquifer (LT-1)
x = some distance from [latex]h_{1}\ ([/latex]L)
x, y = Cartesian coordinates (L)
x, y, z = lengths in the principal directions in our coordinate systems
z = elevation head (L) , with the exceptions in the two following rows
z = in section 15.3, equation 97, thickness of the layer of material (L), also defined in the row above and below
z = in section 15.3, equations 99 and 100, thickness of the overlying layer of water (L), also defined in the two rows above

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Basic Hydrogeology: An Introduction to the Fundamentals of Groundwater Science Copyright © 2025 by Matthew M. Uliana. All Rights Reserved.

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