Analytical solution and parameter estimation for heat of wetting and vapor adsorption during spontaneous imbibition in tuff

An analytical expression is derived for the thermal response observed during spontaneous imbibition of water into a dry core zeolitic tuff. Sample tortuosity, conductivity, and source strength are estimated from fitting an solution to temperature observations single laboratory test. The closed-form using Green's functions heat conduction in limit “slow” movement; that is, when advection energy with wetting front negligible. has four free parameters efficient parameter estimation. Laboratory data used constrain model include time series mass imbibed, visual location through time, at six locations. reached end hours before visible front. Thus, predominant form heating this tuff due vapor adsorption rock ahead separation significant, compared behavior most materials reported literature. This work first interpretation estimate transport (tortuosity) properties (including conductivity)