Title: Lattice Boltzmann method for diffusion-limited partial dissolution of fluids

Abstract

A lattice Boltzmann model for two partially miscible fluids is developed. By partially miscible, we mean that although there is a definite interfacial region separating the two fluids with a surface tension force acting at all points of the transition region, each fluid can nonetheless accept molecules from the other fluid up to a set solubility limit. We allow each fluid to diffuse into the other with the solubility and diffusivity in each fluid being input parameters. The approach is to define two regions within the fluid. One interfacial region having finite width, across which most of the concentration change occurs, and in which a surface tension force and color separation step are allowed for. And one miscible fluid region where the concentration of the binary fluids follows an advection-diffusion equation and the mixture as a whole obeys the Navier-Stokes incompressible flow equations. Numerical examples are presented in which the algorithm produces results that are quantitatively compared to exact analytical results as well as qualitatively examined for their reasonableness. The model has the ability to simulate how bubbles of one fluid flow through another while dissolving their contents as well as to a range of practical invasion problems such asmore » injecting supercritical CO₂ into a porous material saturated with water for sequestration purposes.« less

Authors:

Aursjø, Olav ^[1]; Pride, Steven R. ^[2]

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+ Show Author Affiliations

1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); IRIS AS, Stavanger (Norway)
2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Publication Date:

Fri Jul 10 00:00:00 EDT 2015

Research Org.:

Energy Frontier Research Centers (EFRC) (United States). Center for Nanoscale Control of Geologic CO2 (NCGC)

Sponsoring Org.:

USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:

1370612

Alternate Identifier(s):

OSTI ID: 1193519

Grant/Contract Number:  

AC02-05CH11231

Resource Type:

Accepted Manuscript

Journal Name:

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

Additional Journal Information:

Journal Volume: 92; Journal Issue: 1; Related Information: NCGC partners with Lawrence Berkeley National Laboratory (lead); University of California, Davis; Lawrence Livermore National Laboratory; Massachusetts Institute of Technology; Ohio State University; Oak Ridge National Laboratory; Washington University, St. Louis; Journal ID: ISSN 1539-3755

Publisher:

American Physical Society (APS)

Country of Publication:

United States

Language:

English

Subject:

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; bio-inspired; mechanical behavior; carbon sequestration