Archie resistivity relationship

symbols, variables and units

ρ_t, ρ_w: Ω·m; φ, S_w: dimensionless; a, m, n: empirical parameters.

applicable conditions and boundaries

is approximated by clean, low clay rock; parameters need to be calibrated experimentally or by well logging.

formula source code

The following is a copyable LaTeX expression.

\rho_t=a\rho_w\phi^{-m}S_w^{-n}

Reference and Extended Learning

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.