Courtesy J. H. Wittke & T. E. Bunch, 2004-2008
Definition of Porosity
Vv ≡ void volume
VT ≡ total volume
VV
φ≡
≡ Total Porosity
VT
Properties of Real Rocks
That Influence Porosity
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•
•
•
•
•
•
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Sorting
Shape
Clay minerals
Cementation
Bound water
Fracturing
Diagenesis
Solution
•
Particle size (only weakly)
S
Pore
Grain
Rg
Courtesy Jon Burger, UH and Chevron
Geological Classifications of Porosity
• Matrix (intergranular)
Between the grains. Think marbles.
• Fracture
Natural and induced
• Vugular
Think of a “vug” as a very small cavern.
• Fenestral
Disconnected small holes in carbonates, often due to biological action. “windows”
• Intragranular
• Intracrystaline
Think of a flaw in a diamond
Courtesy Jon Burger, UH and Chevron
Courtesy Jon Burger, UH and Chevron
Courtesy Jon Burger, UH and Chevron
Courtesy Jon Burger, UH and Chevron
How is porosity formed?
• Sediment grains are transported by water or air • Ensembles of packed sediment grains contain porosity • As sediments are compacted into rocks, the porosity can persist
Engineering Classification of Porosity
• Total Porosity
VV φ≡ VT
• Effective Porosity
Connected porosity that allows fluid flow through the rock
Looks like it might be disconnected and not contribute to “effective” porosity.
Be careful.
Looks like it might be connected and contribute to “effective” porosity.
Be careful.
Courtesy Jon Burger, UH and Chevron
Simple Model of Matrix Porosity
Cubic Packing of Identical Spheres
Unit Cell
Calculate the porosity. φ≡ S
Pore
Grain
Vv
VT
Rg
Vv = VT − Vg where Vg ≡ volume of grains
2D picture to aid 3D calculation
Note: You must define the unit cell in such a way that the entire rock can be constructed from contiguous copies of the unit cell.
However, the unit cell can be moved for computational convenience.
Simple Model of