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Title: Eulerian network modeling of longitudinal dispersion: EULERIAN NETWORK MODELING OF DISPERSION

Abstract

A novel Eulerian network model that incorporates “shear dispersion,” the stretching of solute due to nonuniform velocity profiles within pore throats is developed. The superposing transport method (STM) is nonlocal in time (i.e., uses information from several previous time steps) and is equivalent to performing network-wide time convolutions of elementary throat response functions. Predicted macroscopic longitudinal dispersion coefficients for disordered sphere packs are in good agreement with published experimental data. We further investigate the impact of mixing assumptions within pores on macroscopic longitudinal dispersion and find the dependence to be weak for disordered sphere packs. Limitations of Eulerian network models as a whole are also discussed, and their inappropriateness for ordered porous media concluded.

Authors:
 [1];  [2]
  1. Stanford Univ., CA (United States). Dept. of Energy Resources Engineering
  2. Univ. of Texas, Austin, TX (United States). Dep.t of Petroleum and Geosystems Engineering
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Center for Frontiers of Subsurface Energy Security (CFSES)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1371116
Alternate Identifier(s):
OSTI ID: 1402157
Grant/Contract Number:  
SC0001114
Resource Type:
Accepted Manuscript
Journal Name:
Water Resources Research
Additional Journal Information:
Journal Volume: 51; Journal Issue: 10; Related Information: CFSES partners with University of Texas at Austin (lead); Sandia National Laboratory; Journal ID: ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; nuclear (including radiation effects); carbon sequestration

Citation Formats

Mehmani, Yashar, and Balhoff, Matthew T. Eulerian network modeling of longitudinal dispersion: EULERIAN NETWORK MODELING OF DISPERSION. United States: N. p., 2015. Web. doi:10.1002/2015WR017543.
Mehmani, Yashar, & Balhoff, Matthew T. Eulerian network modeling of longitudinal dispersion: EULERIAN NETWORK MODELING OF DISPERSION. United States. doi:10.1002/2015WR017543.
Mehmani, Yashar, and Balhoff, Matthew T. Thu . "Eulerian network modeling of longitudinal dispersion: EULERIAN NETWORK MODELING OF DISPERSION". United States. doi:10.1002/2015WR017543. https://www.osti.gov/servlets/purl/1371116.
@article{osti_1371116,
title = {Eulerian network modeling of longitudinal dispersion: EULERIAN NETWORK MODELING OF DISPERSION},
author = {Mehmani, Yashar and Balhoff, Matthew T.},
abstractNote = {A novel Eulerian network model that incorporates “shear dispersion,” the stretching of solute due to nonuniform velocity profiles within pore throats is developed. The superposing transport method (STM) is nonlocal in time (i.e., uses information from several previous time steps) and is equivalent to performing network-wide time convolutions of elementary throat response functions. Predicted macroscopic longitudinal dispersion coefficients for disordered sphere packs are in good agreement with published experimental data. We further investigate the impact of mixing assumptions within pores on macroscopic longitudinal dispersion and find the dependence to be weak for disordered sphere packs. Limitations of Eulerian network models as a whole are also discussed, and their inappropriateness for ordered porous media concluded.},
doi = {10.1002/2015WR017543},
journal = {Water Resources Research},
number = 10,
volume = 51,
place = {United States},
year = {2015},
month = {10}
}

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Cited by: 7 works
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