Sorption isotherms provide fundamental
information for investigating
the mechanism and phenomenon of gas adsorption on carboniferous rocks.
However, adsorption isotherms of physical adsorbents, such as coal
and shale, give rise to an unexpected and often negative adsorption
phenomenon, which is decreased gas uptake under high pressure. Here,
we demonstrate that a Gibbs discarded amount should be responsible
for the negative adsorption phenomenon. The Gibbs discarded amount,
a product of the free gas density and the adsorbed phase volume, increases
continuously with the increased pressure during sorption isotherm
measurement, but the Gibbs discarded amount has been subtracted from
the absolute adsorption amount in the mass balance calculation. This
leads to not only a linear decline in the sorption isotherm after
adsorption saturation, but also underestimation of the absolute adsorption
capacity on the whole adsorption isotherm. Hence, a piecewise method
is developed to correct the error caused by the Gibbs discarded amount
and is examined by experimental data of CH4-coal sorption,
CH4-shale sorption, and CO2-coal sorption. Results
indicate that the piecewise method is valid in rectifying the underestimation
of Gibbs sorption isotherm and that the Gibbs discarded amount cannot
be neglected any longer in the porous rock adsorption; various densities
of the adsorbed phase estimated by the piecewise method are more practicable
than a constant density as normal. This method may reduce both the
experimental and computational effort required for the determination
of absolute sorption isotherms.