Two‐scale continuum model for simulation of wormholes in carbonate acidization

Mohan K. R. Panga; Murtaza Ziauddin; Vemuri Balakotaiah

doi:10.1002/aic.10574

journal article Sep 06, 2005

Two‐scale continuum model for simulation of wormholes in carbonate acidization

Mohan K. R. Panga Murtaza Ziauddin Vemuri Balakotaiah

AIChE Journal Vol. 51 No. 12 pp. 3231-3248 · Wiley

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Abstract

AbstractA two‐scale continuum model is developed to describe transport and reaction mechanisms in reactive dissolution of a porous medium, and used to study wormhole formation during acid stimulation of carbonate cores. The model accounts for pore level physics by coupling local pore‐scale phenomena to macroscopic variables (Darcy velocity, pressure and reactant cup‐mixing concentration) through structure‐property relationships (permeability‐porosity, average pore size‐porosity, and so on), and the dependence of mass transfer and dispersion coefficients on evolving pore scale variables (average pore size and local Reynolds and Schmidt numbers). The gradients in concentration at the pore level caused by flow, species diffusion and chemical reaction are described using two concentration variables and a local mass‐transfer coefficient. Numerical simulations of the model on a two‐dimensional (2‐D) domain show that the model captures the different types of dissolution patterns observed in the experiments. A qualitative criterion for wormhole formation is developed and it is given by Λ ∼ O(1), where Λ =
. Here, keff is the effective volumetric dissolution rate constant, DeT is the transverse dispersion coefficient, and uo is the injection velocity. The model is used to examine the influence of the level of dispersion, the heterogeneities present in the core, reaction kinetics and mass transfer on wormhole formation. The model predictions are favorably compared to laboratory data. © 2005 American Institute of Chemical Engineers AIChE J, 2005

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Details

Published: Sep 06, 2005
Vol/Issue: 51(12)
Pages: 3231-3248
License: View

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Cite This Article

Mohan K. R. Panga, Murtaza Ziauddin, Vemuri Balakotaiah (2005). Two‐scale continuum model for simulation of wormholes in carbonate acidization. AIChE Journal, 51(12), 3231-3248. https://doi.org/10.1002/aic.10574

Two‐scale continuum model for simulation of wormholes in carbonate acidization

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