Abstract
Klinkenberg-corrected gas permeability (k) estimation in tight-gas
sandstones is essential for gas exploration and production in
low-permeability porous rocks. Most models for estimating k are a
function of porosity (ϕ), tortuosity (τ), pore shape factor (s) and a
characteristic length scale (lc). Estimation of the latter, however, has
been the subject of debate in the literature. Here we invoke two
different upscaling approaches from statistical physics: (1) the EMA and
(2) critical path analysis (CPA) to estimate lc from pore throat-size
distribution derived from mercury intrusion capillary pressure (MICP)
curve. τ is approximated from: (1) concepts of percolation theory and
(2) formation resistivity factor measurements (F = τ/ϕ). We then
estimate k of eighteen tight-gas sandstones from lc, τ, and ϕ by
assuming two different pore shapes: cylindrical and slit-shaped.
Comparison with Klinkenberg-corrected k measurements showed that τ was
estimated more accurately from F measurements than from percolation
theory. Generally speaking, our results implied that the EMA estimated k
within a factor of two of the measurements and more precisely than CPA.
We further found that the assumption of cylindrical pores yielded more
accurate k estimates when τ was estimated from concepts of percolation
theory than the assumption of slit-shaped pores. However, the EMA with
slit-shaped pores estimated k more precisely than that with cylindrical
pores when τ was estimated from F measurements.