The basis of many fundamental groundwater transport models involves the “Domenico” analytical solution to the following
Posted: Fri Jul 15, 2022 5:15 pm
The basis of many fundamental groundwater transport modelsinvolves the “Domenico” analytical solution to the followingtransport equation:
a. Does the “D” in this equation refer to diffusion ordispersion? Why?
b. Describe each of the terms in this equation (i.e. whattransport process does each term represent?)
C. Describe each of the symbols in this equation (i.e. what doeseach symbol represent?). Don’t worry about the partialdifferential operator, ∂. (8 marks)
C
x
y
z
t
R
D
λ
R∂t∂C=Dx∂x2∂2C+Dy∂y2∂2C+Dz∂z2∂2C−vx∂x∂C−λC
R∂t∂C Dx∂x2∂2C Dy∂y2∂2C Dz∂z2∂2C Vx∂x∂C
a. Does the “D” in this equation refer to diffusion ordispersion? Why?
b. Describe each of the terms in this equation (i.e. whattransport process does each term represent?)
C. Describe each of the symbols in this equation (i.e. what doeseach symbol represent?). Don’t worry about the partialdifferential operator, ∂. (8 marks)
C
x
y
z
t
R
D
λ
R∂t∂C=Dx∂x2∂2C+Dy∂y2∂2C+Dz∂z2∂2C−vx∂x∂C−λC
R∂t∂C Dx∂x2∂2C Dy∂y2∂2C Dz∂z2∂2C Vx∂x∂C