AIChE Journal · 1987 · 45 citations · 19 references
EngineeringChemical EngineeringGeologyPetrophysicsReaction EngineeringReservoir SimulationFluid-flow In Porous MediaKinetic ModelingPorous MaterialsPorous Media FlowRock-fluid InteractionsTransport In Porous MediaPercolationPercolation In Porous MediaPore EvolutionPore Network AnalysisPore Network ModelsPore Size EffectsPore StructurePore Structure Evolution
Abstract A model of pore structure evolution has been developed for gas‐solid reactions exhibiting pore closure behavior. A cylindrical pore network of constant coordination number is used to represent the porous medium, and both discrete and continuous distributions of pore size are considered. The mathematical model takes into consideration the effects of pore overlapping and nonuniform pore growth, and follows the formation of inaccessible volume in the interior of the reacting particles by use of percolation theory concepts. The model is applied, along with an appropriate diffusion and reaction model, to the investigation of the transient behavior of calcined limestone particles in an environment of sulfur dioxide.
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An introduction to percolation theory
V. K. S. Shante, Scott Kirkpatrick · Advances In Physics · 1971 · 2.5K citations
Scaling theory of percolation clusters
D. Stauffer · Physics Reports · 1979 · 2.4K citations
Natural Sciences, Materials Science, Condensed Matter Physics +9