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

Mehmani, Yashar; Balhoff, Matthew T.

doi:10.1002/2015WR017543

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

Journal Article · 30 September 2015 · Water Resources Research

DOI: https://doi.org/10.1002/2015WR017543 · OSTI ID:1371116

Mehmani, Yashar ^[1]; Balhoff, Matthew T. ^[2]

Stanford Univ., CA (United States). Dept. of Energy Resources Engineering
Univ. of Texas, Austin, TX (United States). Dep.t of Petroleum and Geosystems Engineering

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.

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Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Center for Frontiers of Subsurface Energy Security (CFSES)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0001114

OSTI ID:: 1371116

Journal Information:: Water Resources Research, Journal Name: Water Resources Research Journal Issue: 10 Vol. 51; ISSN 0043-1397

Publisher:: American Geophysical Union (AGU)Copyright Statement

Country of Publication:: United States

Language:: English

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