12:166, Zhang

Spring, 2002

Groundwater Flow Equations

·
Hydraulic Conductivity Tensor

Note: In most cases, the off-diagonal terms are zeros

·        Darcy’s Law in Three Dimensions

·        Steady-State Flow vs. Unsteady-State Flow or Transient Flow

Steady–state flow is the flow where v does not change with time

(but it may change spatially)

Unstead-state or transient flow is the flow where v change with time

·        Groundwater Flow Equations

In a heterogeneous and anisotropic medium in 3-D

·         For unsteady-state flow:

·         For steady-state flow:

In a homogeneous and isotropic medium in 3-D

·        For unsteady-state flow:

·        For steady-state flow:

·        Boundary Conditions

Head boundary, e.g., a constant head boundary

Flux boundary, e.g., a no-flow boundary

Reading:     Section 4.7 – 4.10 of the text (p.125 - 132). Optional homework on the back.

Optional Homework
But sorry no bonus for this homework)

1.      A. Under what assumptions can groundwater flow be described by the following mathematical model?

h(0) = h1

h(L) = h2

B. Solve about equation with the boundary conditions.

2.      A. Under what assumptions can groundwater flow be described by the following mathematical model?

h(0) = h1

h(L) = h2

B. Solve about equation with the boundary conditions.

3.      A. Under what assumptions can groundwater flow be described by the following mathematical model?

h(0) = h1

h(L) = h2

B. Solve about equation with the boundary conditions