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ARSHIES

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Arshies might refer to
In petrophysics, Archie's law relates the in-situ electrical conductivity of a sedimentary rock to its porosity and brine saturation:*
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*
*
* C
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* t
*
*
* =
*
*
* 1
* a
*
*
*
* C
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* w
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* ϕ
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* m
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* S
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* w
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* n
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* {\displaystyle C_{t}={\frac {1}{a}}C_{w}\phi ^{m}S_{w}^{n}}
* Here,
*
*
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* ϕ
*
*
*
*
* {\displaystyle \phi \,\!}
* denotes the porosity,
*
*
*
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* C
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* t
*
*
*
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* {\displaystyle C_{t}}
* the electrical conductivity of the fluid saturated rock,
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*
*
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* C
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* w
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*
*
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* {\displaystyle C_{w}}
* represents the electrical conductivity of the brine,
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*
*
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* S
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* w
*
*
*
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* {\displaystyle S_{w}}
* is the brine saturation,
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*
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* m
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* {\displaystyle m}
* is the cementation exponent of the rock (usually in the range 1.8–2.0 for sandstones),
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*
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* n
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* {\displaystyle n}
* is the saturation exponent (usually close to 2) and
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*
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* a
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* {\displaystyle a}
* is the tortuosity factor.
* Reformulated for electrical resistivity, the equation reads
*
*
*
*
*
* R
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* t
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* =
* a
*
* ϕ
*
* −
* m
*
*
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* S
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* w
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* −
* n
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* R
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* w
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* {\displaystyle R_{t}=a\phi ^{-m}S_{w}^{-n}R_{w}}
* with
*
*
*
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* R
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* t
*
*
*
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* {\displaystyle R_{t}}
* for the fluid saturated rock resistivity, and
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*
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* R
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* w
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* {\displaystyle R_{w}}
* for the brine resistivity.
* The factor
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* F
* =
*
*
* a
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* ϕ
*
* m
*
*
*
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* =
*
*
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* R
*
* o
*
*
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* R
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* w
*
*
*
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*
*
* {\displaystyle F={\frac {a}{\phi ^{m}}}={\frac {R_{o}}{R_{w}}}}
* is also called the formation factor, where
*
*
*
*
* R
* ...

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