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Archie's law : ウィキペディア英語版
Archie's law
In petrophysics, Archie's law relates the in-situ electrical conductivity of a sedimentary rock to its porosity and brine saturation:

:C_t = \frac C_w \phi^m S_w^n

Here, \phi\,\! denotes the porosity, C_t the electrical conductivity of the fluid saturated rock, C_w represents the electrical conductivity of the brine, S_w is the brine saturation, m is the cementation exponent of the rock (usually in the range 1.8–2.0 for sandstones), n is the saturation exponent (usually close to 2) and a is the tortuosity factor.
Reformulated for electrical resistivity, the equation reads
:R_t = a \phi^ S_w^ R_w
with R_t for the fluid saturated rock resistivity, and R_w for the brine resistivity.
The factor
:F = \frac = \frac
is also called the formation factor, where R_o is the resistivity of the rock filled with only water (S_w=1).
The factor
:I = \frac = S_w^
is also called the resistivity index.
It is a purely empirical law attempting to describe ion flow (mostly sodium and chloride) in clean, consolidated sands, with varying intergranular porosity. Electrical conduction is assumed not to be present within the rock grains or in fluids other than water.
Archie's law is named after Gus Archie (1907–1978) who developed this empirical quantitative relationship between porosity, electrical conductivity, and brine saturation of rocks. Archie's law laid the foundation for modern well log interpretation as it relates borehole electrical conductivity measurements to hydrocarbon saturations (which, for fluid saturated rock, equals 1 - S_w).
==Parameters==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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