Hydrogeology Equations +


Q = C I A

Q = V A = W D V

a = -(1/t) ln Q/Q0

Q = Q0 e-at

T =(n+1)/m = 1/P

P%=[m/(n+1)] x 100

n = Vv/Vt

n = Vv + Vs

n = Sy + Sr

θv = Vw/Vt

 

 

 

θv = Vw/Vt

 

K = V L_

A t h

 

γ = ρ g

P = ρ g hP = γ hP

 

 

= (K/ne)(dh/dl)

 

 

h = z + hp

Q = (mKH)/n (or Q = m K dh)

q = Kph/f (same eq. as above with different letter designations)

q = Kb (dh/dl)

 

tan θ1 = K1

tan θ2 K2

 

q = K ((h12 h22)/L)

σT = σe + P

 

to calculate σT on top of aquifer

σT =(γdry mat * mat. thickness)+

n * mat. thickness * γwtr)

 

e = -ρ g dhp = - γ dhp

db = -α b dσe = α b γ dhp ,Note: may assume dh=dhp

Ss = ρg (α + n β)= γ(α + n β)

S = Ss b = b γ(α + n β)

T = K b

S = VW / A / dh

Vw = S A dh

 

 

ho - h = Q W(u), u = r2 S

4 π T 4 T t

 

Constants

g = 9.81 m/s2

ρwtr = 1000 kg/m3

γwtr = 62.4 lb/ft3 = 9810 N/m3

βwtr = 4.4 x 10-10 m2/N

wtr = 2.1x10-8 ft2/lb

 

 

mll, rev. fall 2002