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ASBOG STUDY / Various Equation
A flashcard set of equations found in the ASBOG study booklet.
45
Geology
Undergraduate 4
02/08/2021

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Term
Sy = (Vw/Vt)100
Definition
Specific Yield (unitless)

(water volume lost / total soil volume)
Term
Specific Yield
Definition
Ratio of volume water to volume total soil which drains under gravity.
Term
Specific Yield
Definition
approx. equal to effective porosity (ne) in unconfined aquifers.
Term
Sr = (Vw/Vt)100
Definition
Specific Retention

(volume water retained / total soil volume)
Term
Specific Retention
Definition
Ratio of the volume of water retained to total volume of soil.
Term
S = ±Vw / (Aδh)
Definition
Storativity of an unconfined aquifer

(water volume / area x change in head)
Term
Storativity
Definition
(~0.01-0.3, unitless)
vol. of water an aquifer releases or intakes per unit surface area per change in head.
Term
S = b Ss
Definition
(~0.001-0.00001, unitless)
Storativity of a confined aquifer
(aquifer thickness x specific storage)
Term
K = ki(γ/μ)
Definition
Hydraulic Conductivity

(intrinsic permeability x (specific weight / dynamic viscosity))
Term
hydraulic conductivity
Definition
gpd/ft^2
Term
T = Kb
Definition
Transmissivity

(hydraulic conductivity x aquifer thickness)
Term
Transmissivity
Definition
gpd/ft or ft^2/day
Term
i = (h1 - h2)/l
Definition
Hydraulic Conductivity

(change in head between two points / length between two points)
Term
hydraulic conductivity
Definition
unitless
Term
So = 1 - Sw
Definition
Saturation of oil

(1 - unit water saturation)
Term
STO = (A t φ R So) / FVF 5.615
Definition
Recoverable stock-tank oil (barrels)
Term
dSt = P - E ± R ± U
Definition
Hydrologic Budget
Term
hydrologic budget
Definition
change in total storage of an aquifer
(AcreFeetperYear AFY)
Term
dS = I - O
Definition
Change in aquifer storage
input - output
Term
Recoverable stock-tank oil
Definition
barrels

((area x thickness x porosity x recoverability factor x oil saturation) / (formation volume factor x 5.615))
Term
E = z1 - z2 = h
Definition
unconfined aquifer head
Term
unconfined aquifer head
Definition
difference of hydraulic head between two points (z1, z2).
Term
n = (Vv/Vt)100
Definition
porosity
Term
porosity
Definition
unitless %

void space volume / total volume
Term
ne = (Ws-Wr)/(Ws-Wo) x (Vv/V)100
Definition
effective porosity
Term
Q = K i A
or
Q = T i w
Definition
Groundwater flow
(confined aquifer)
Term
Groundwater flow (confined aquifer)
Definition
ft/day or gpd/ft^2
Can solve with either hydraulic conductivity or transmissivity
Term
Q = (-1/2) K ((ha^2 - hb^2)/l) l
Definition
hydraulic flow in an unconfined aquifer
Term
Vs = Ki/ne
Definition
Groundwater seepage velocity
Term
Groundwater seepage velocity
Definition
gpd/ft^2
Term
SAR = Na / √((Ca+Mg)/2)
Definition
Sodium Absorption Rate
Term
sodium absorption rate
Definition
2-10 low risk
>11 high risk
used to measure hazardous sodium in the soil
Term
hardness = (Ca mg/L) + (Mg mg/L) x 50
Definition
hardness of the water
Term
V1 / V2 = Sinα / Sinβ
Definition
Snell's Law of geophysical seismic wave refraction
Term
t = x/V2 + ((2d√(V2^2 - V1^2))/V1xV2)
Definition
Snell's Law as a Two Layer problem; solving for time
Term
d = tiV1V2 / 2√(V2+V1)
Definition
Snells Law; two layer; calc. depth from graph
ti = intercept time
Term
d = √(V2-V1) / (2√V2+V1) x Xcross
Definition
Snell's Law; two layer problem; solving d calculate layer depth from graphical Xcross distance.
Term
Cn = 1/√(σv)

Ncorrected = Cn x Nf
Definition
Field correction factor Cn

σv represents effective overburden factor

Then field blow count x field correction factor to solve for Ncorrected
Term
T = 35Q/ds
or
T = 264Q/ds
Definition
Transmissivity for time-drawdown graph
ft^2/day
or
gpd/ft
Term
S = T to / 640r^2
or
S = T to / 4790r^2
Definition
Storativity via transmissivity for time-drawdown graph.
ft^2/day
or
gpd/ft
Term
T = 70Q/ds
or
T = 528Q/ds
Definition
Transmissivity for depth-drawdown graph
ft^2/day
or
gpd/ft
Term
S = Tt/640ro^2
or
S = Tt/4790ro^2
Definition
Storativity via transmissivity for depth-drawdown graph.
ft^2/day
or
gpd/ft
Term
WE = St/Sa x100
Definition
Well efficiency = theoretical drawdown/actual drawdown
Term
ρdry = ρ / 1+ω
Definition
calculating dry density = given density / 1 + water content
Term
relative compaction = ρdry / ρmax
Definition
calculating relative compaction of a soil w/ a given maximum dry density from a compaction curve
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