Abstract

Flows with chemical reactions in porous media are fundamental phenomena encountered in many natural, industrial, and scientific areas. For such flows, most existing studies use continuum assumptions and focus on volume-averaged properties on macroscopic scales. Considering the complex porous structures and fluid–solid interactions in realistic situations, this study develops a sophisticated lattice Boltzmann (LB) model for simulating reactive flows in porous media on the pore scale. In the present model, separate LB equations are built for multicomponent flows and chemical species evolutions, source terms are derived for heat and mass transfer, boundary schemes are formulated for surface reaction, and correction terms are introduced for temperature-dependent density. Thus, the present LB model offers a capability to capture pore-scale information of compressible/incompressible fluid motions, homogeneous reaction between miscible fluids, and heterogeneous reaction at the fluid–solid interface in porous media. Different scenarios of density fingering with homogeneous reaction are investigated, with effects of viscosity contrast being clarified. Furthermore, by introducing thermal flows, the solid coke combustion is modeled in porous media. During coke combustion, fluid viscosity is affected by heat and mass transfer, which results in unstable combustion fronts.

Highlights

  • Flows of miscible fluids in porous media are frequently encountered in natural and industrial processes, like underground water movement [1], geologic carbon sequestration [2], enhanced oil recovery [3], and blood transport [4]

  • A multicomponent MRT lattice Boltzmann (LB) model has been presented for studying porous media flows with chemical reactions on the pore scale

  • The obtained results will show the ability of the present LB model in predicting hydrodynamic instabilities at the fluid interface, thermal flows in both pores and solid matrices, and effects of chemical reactions on fluid transport

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Summary

INTRODUCTION

Flows of miscible fluids in porous media are frequently encountered in natural and industrial processes, like underground water movement [1], geologic carbon sequestration [2], enhanced oil recovery [3], and blood transport [4]. Lattice Boltzmann Simulation porous medium with a partially miscible interface between the two fluids, Loodts et al [11] suggested that different density contributions and diffusion rates of the three chemical species (A, B, and C) could introduce eight types of density profiles. Results suggested that the reaction could introduce a non-monotonic viscosity profile and thereby trigger the development of fingering These simulations provided spatial and temporal properties of interface instabilities with chemical reactions, enriching experimental and theoretical findings. LB models have been proposed to simulate flows of reactive fluids in porous media, like methane hydrate dissolution [35], solid coke combustion [32], and reactive mixing with viscous fingering [36]. This work proposes an LB model to simulate pore-scale reactive flows in porous media, with homogeneous and heterogeneous reactions and compressible and incompressible fluid densities being considered

MATHEMATICAL MODEL
LATTICE BOLTZMANN MODEL
DISCUSSION
Solid Coke Combustion With Viscous Fingering
CONCLUSION
DATA AVAILABILITY STATEMENT
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