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Abstract
ABSTRACT
Gas that is entrapped when a porous medium imbibes a liquid will eventually be expelled from the medium by molecular diffusion when the sample is kept in contact with a liquid supply. It is shown that the phenomenon can be formulated in terms of a differential equation which contains more than dependent variable. As a result, it is possible to identify the additional relationships that must be established among the dependent variables in order to make a rigorous solution possible.
Because all of the required relationships are not known, an alternate approach of incorporating assumptions which eliminate the need for additional functions was used to obtain an approximate solution for the case of one-dimensional diffusion. The result is shown to be useful for estimating the times involved for the elimination of trapped gas from sandstone samples.
