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One of the saturation from resistivity models:

(1) \frac{1}{R_t} = \frac{\phi_e^m \, s_w^n }{A R_w} \quad \Rightarrow \quad s_w = \Big ( \frac{A}{\phi_e^m} \; \frac{R_w}{R_t} \Big) ^{1/n}


where

s_w

formation water saturation

\phi_e

effective porosity

R_t

specific electrical resistivity from OH logs

R_w

specific electrical resistivity of formation water

A


dimensionless constant, characterizing the rock matrix contribution to the total electrical resistivity

0.5 ÷ 1,

default value is 1 for sandstones and 0.9 for limestones

m

formation matrix cementation exponent1.5 ÷ 2.5, default value is 2

n

formation matrix water-saturation exponent

1.5 ÷ 2.5, default value is 2


Archie model is usually  used in:

  • high permeable clean sands with low or no shaliness

  • high permeable clean limestones with low or no shaliness

See Also


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

Well & Reservoir Surveillance / Well logging / Reservoir Data Logs (RDL) / Formation Resistivity Log @model

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