WORK PACKAGE 1:
Objective: To provide a set of equations and relations for immiscible two-phase flow in porous media connecting the physics at the pore scale with the macroscopic level where the porous medium may be described as a homogeneous continuum.
Principal Investigator WP1: Professor Alex Hansen. Partners: Profs. Jan Øystein Haavig Bakke, Dick Bedeaux, Sarah Codd, Eirik Grude Flekkøy, Signe Kjelstrup, Knut Jørgen Måløy, Miguel Rubi, Laurent Talon, Renaud Toussaint, Marios Valavanides. Associate professor: Per Arne Slotte. PhD-candidates: Magnus Aashammer Gjennestad.
Description: This field covers a range of scales and the results are both about the steady state distributions and about the transport laws. The former subject is the analog of equilibrium statistical physics, while the latter addresses the question of how these statistical mechanical results may form or constrain the macroscopic laws of displacement.
We aim to derive the set of thermodynamic equations for immiscible two-phase flow in porous media. The ensemble distribution for steady-state immiscible flow we have derived corresponds to the microcanonical ensemble. The corresponding one for a representative elementary volume would be the canonical ensemble. We will establish ergodicity for the Monte Carlo method for network models.
We will pursue the transport laws along several routes, one of which is based on network simulator for flow in porous media. In this context, we expect to find a non-linear relationship between flow rate and pressure drop for both two- and three-dimensional porous media.
We have recently established that an interesting new class of Onsager reciprocity relations may be derived from time-reversibility at a mesoscopic- rather than microscopic level. These relations serve to constrain the macroscopic laws of dispersion in porous media flow.
Plenary lectures at international conferences and distinguished lectures
Bedeaux, Dick; Savani, Isha; Kjelstrup, Signe; Hansen, Alex; Vassvik, Morten; Santanu, Sinha. Ensemble distribution for immiscible two phase flow in porous media. Interpore conference in Rotterdan, Netherlands; 2017-05-07 – 2017-05-11. NTNU
Bedeaux, Dick; Savani, Isha; Kjelstrup, Signe; Hansen, Alex; Vassvik, Morten; Santanu, Sinha. Ensemble Distribution for Immiscible Two- Phase Flow in Porous Media. Opening PoreLab, Oslo, Norway; 2017-09-05 – 2017-09-08. NTNU
Hansen, Alex; Sinha, Santanu; Bedeaux, Dick; Kjelstrup, Signe; Savani, Isha; Vassvik, Morten. Flow in porous materials – as seen from thermodynamics. 9th International Conference on Porous Media; 2017-05-07 – 2017-05-11. NTNU
- Geoforskning: Fremragende forskning på porenivå, 17 March 2017
- Titan: Kunnskap om olje skal gi verden rent vann, 10 March 2017
S. Sinha, A. T. Bender, M. Danczyk, K. Keepseagle, C. Prather, J. Bray, L. Thrane, J. D. Seymour, S. L. Codd, A. Hansen. Effective Rheology of Two-Phase Flow in Three-Dimensional Porous Media: Experiment and Simulation. Transport in Porous Media 119 (1), 77-94
E.G. Flekkoy, S.R. Pride and R. Toussaint “Onsager symmetry from mesoscopic time reversibility and the hydrodynamic dispersion tensor for coarse-grained systems“ Phys. Rev. E 95 (2017). DOI:10.1103/PhysRevE.95.022136
Savani, I.; Sinha, S.; Hansen, A.; Bedeaux, D.; Kjelstrup, S.; Vassvik, M. A Monte Carlo Algorithm for Immiscible Two-Phase Flow in Porous Media. Transport in Porous Media 2017 ;Volum 116.(2) s. 869-888.
I. Savani, D. Bedeaux, S. Kjelstrup, M. Vassvik, S. Sinha, A. Hansen. “Ensemble distribution for immiscible two-phase flow in porous media” . Phys. Rev. E 95, (2017). DOI = 10.1103/PhysRevE.95.023116.