Eulerian network modeling of longitudinal dispersion

Yashar Mehmani, Matthew T. Balhoff

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)8586-8606
Number of pages21
JournalWater Resources Research
Issue number10
StatePublished - Oct 2015

All Science Journal Classification (ASJC) codes

  • Water Science and Technology


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