12:166, Zhang

Spring, 2002

·
**Hydraulic Gradient**

** **

** **

** **

·

**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

(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**

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.*

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

*h(0) = h _{1}*

*h(L) = h _{2}*

_{ }

* _{ }* 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) = h _{1}*

*h(L) = h _{2}*

_{ }

* _{ }* 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) = h _{1}*

*h(L) = h _{2}*

_{ }

* _{ }* B. Solve about equation
with the boundary conditions