Lecture 12
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Homogeneity and Isotropy
Fetter 4.11
Homogeneity and Isotropy |
The thickness of an aquifer is important.
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Homogeneous - a geologic unit that has the same properties at all locations.
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Heterogeneous - Hydraulic properties vary spatially.
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Examples (A, B, C) of heterogeneous aquifers.
Isotropic - The condition in which hydraulic properties of the aquifer are equal
in all directions.
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Anisotropy - The condition under which one or more of the hydraulic
properties of an aquifer vary according to the direction of flow.
| Intrinsic
permeability may vary with direction fractured rocks! |
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| Kn - Horizontal hydraulic conductivity | |
| Kv - Vertical |

Graphical Method for determining the slope of a potentiometric surface or water table.
| or Hydraulic gradient | |
graph |
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Chapter 5- Principles of Ground-water flow
Ground water possesses-
| Mechanical Thermal and Chemical forms of energy. |
Ground-water flow controlled by Physics and thermodynamics Usually ignore (low T)
Three forces act on ground water
| 1) Gravity | |
| 2) External pressure - atmospheric, overlying water | |
| 3) Molecular attraction - surface tension |
The total energy of a unit volume of water is sum of all three components.
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Kinetic - energy due to motion of water |
Gravitational - potential energy due to the position of a fluid mass wrt datum.
| z = elevation of center of gravity of fluid above reference elevation. |
Fluid pressure à energy due to surrounding fluid pressure.
Divide by r
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- basic equation of fluid mechanics |
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= constant for a frictionless, incompressible fluid. |
Divide by g
| -place units in Energy or J or m(l) | |
Place
units in |
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Because ground water velocity is generally small, Kinetic energy term is neglected.
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Total Head = sum of elevation head and pressure head, dimensions (L)

Schematic showing total head, pressure head, and gravitational head for three piezometers.