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arshies
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There are 7 letters in ARSHIES ( A1E1H4I1R1S1 )
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In petrophysics, Archie's law relates the in-situ electrical conductivity of a sedimentary rock to its porosity and brine saturation:* * * * * C * * t * * * = * * * 1 * a * * * * C * * w * * * * ϕ * * m * * * * S * * w * * * n * * * * * {\displaystyle C_{t}={\frac {1}{a}}C_{w}\phi ^{m}S_{w}^{n}} * Here, * * * * ϕ * * * * * {\displaystyle \phi \,\!} * denotes the porosity, * * * * * C * * t * * * * * {\displaystyle C_{t}} * the electrical conductivity of the fluid saturated rock, * * * * * C * * w * * * * * {\displaystyle C_{w}} * represents the electrical conductivity of the brine, * * * * * S * * w * * * * * {\displaystyle S_{w}} * is the brine saturation, * * * * m * * * {\displaystyle m} * is the cementation exponent of the rock (usually in the range 1.8–2.0 for sandstones), * * * * n * * * {\displaystyle n} * is the saturation exponent (usually close to 2) and * * * * a * * * {\displaystyle a} * is the tortuosity factor. * Reformulated for electrical resistivity, the equation reads * * * * * * R * * t * * * = * a * * ϕ * * − * m * * * * S * * w * * * − * n * * * * R * * w * * * * * {\displaystyle R_{t}=a\phi ^{-m}S_{w}^{-n}R_{w}} * with * * * * * R * * t * * * * * {\displaystyle R_{t}} * for the fluid saturated rock resistivity, and * * * * * R * * w * * * * * {\displaystyle R_{w}} * for the brine resistivity. * The factor * * * * * F * = * * * a * * ϕ * * m * * * * * = * * * * R * * o * * * * R * * w * * * * * * * {\displaystyle F={\frac {a}{\phi ^{m}}}={\frac {R_{o}}{R_{w}}}} * is also called the formation factor, where * * * * * R * ... |