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One of the measures of rock quality in terms of availability for flow:

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{ \rm FZI } = \frac{\rm RQI}{\phi_z}

where

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body\rm RQI

Rock Quality Index

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body\phi_z

normalised porosity



Unit = μm


It has much weaker dependence on effective porosity and shaliness and can be often considered constant within a given lithofacies which makes it a very efficient tool for lithofacies analysis

The constant FZI means that permeability strictly follows Cozeny-Karman permeability @model, although it's rarely met in practise.

The FZI depends on grains size distribution, shape and packing .The most popular correlation with a mean grain size 

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bodyD_g
is given asand can be modelled as follows:

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anchorFXZ4LFZI
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{\rm FZI} = a\frac{1}{\sqrt{F_S} \cdot, D_gS_{gV} \, \tau }

where coefficient 

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body

...

--uriencoded--S_%7BgV%7D = \Sigma_e/V_\phi

surface pore area per unit pore volume

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body\Sigma_e

pore surface area

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bodyF_S

pore shape factor

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bodyV_\phi

pore volume

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body\tau

pore channel tortuosity


In some practical cases this can be further simplified to:

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anchorFZI_d
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{\rm FZI} = 0.0037 \cdot \frac{d}{\tau }

where

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bodyd

average grain size

See also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics

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