The upward flow of gas plays a role in many subsurface systems, including those related to oil and gas recovery, carbon dioxide storage, and groundwater remediation. Macroscopic invasion percolation (macro‐IP) is a modeling approach suitable for the simulation of upward gas flow, including bubble flow, in porous media, but few studies have compared simulations with experiments. Monte Carlo suites of macro‐IP simulations in two‐ and three‐dimensional domains were compared with small‐scale (∼10 cm) thin‐tank experiments of gas injection in homogeneous, initially water‐saturated sand, where transient gas saturations were quantified at the local scale. Comparisons were based on gas saturations and the spatial moments of the gas distribution and were performed for resolutions between 1 by 1 mm and 5 by 5 mm. Simulations were conducted both with and without a stochastic selection modification of the macro‐IP approach. Two‐dimensional simulations without stochastic selection were able to reproduce the spatial moments of the experimental gas distributions using reasonable estimates of local gas saturations at resolutions coarser than or equal to 2 by 2 mm. Three‐dimensional simulations were also able to reproduce the spatial moments at a resolution of 4 by 4 mm, but required higher‐than‐expected gas saturations to accurately represent the injected gas volume. Finer discretizations in two‐ and three‐dimensional simulations were unable to reproduce injected gas volumes without considering stochastic selection or without the use of unreasonably high local gas saturations. This suggests a lower limit on the grid block size for macro‐IP without stochastic selection of approximately three to four grain diameters. By including stochastic selection of the next invaded site in the macro‐IP simulations, observed gas saturations could be reproduced using finer discretization.
Rapid groundwater fluxes often influence subsurface temperature distributions during in situ thermal remediation using electrothermal or conduction heating technologies. This study used a numerical approach to evaluate the impact of groundwater flow on electrothermal heating, as well as the effectiveness of several upgradient heat loss management strategies, in a hypothetical treatment volume. Design alternatives using upgradient (i) hydraulic barriers, (ii) physical barriers, and (iii) increased energy input are evaluated. Results indicate that target temperatures can be achieved, despite the presence of local groundwater flow velocities greater than 0.3 m/day, through the careful design and implementation of the alternatives evaluated. However, physical barriers need to be designed to prevent groundwater flow through the heated volume to be effective. Field data from an electrothermal application are also presented, where boiling temperatures were achieved after steam injection and upgradient pumping wells were implemented.
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