JOINT NUMERICAL MICRO-SCALE SIMULATIONS OF MULTI-PHASE FLOW AND NMR RELAXATION BEHAVIOR IN POROUS MEDIA

2013 ◽  
Author(s):  
Oliver Mohnke ◽  
Norbert Klitzsch ◽  
Maik Stiebler
Keyword(s):  
Porous Media ◽  
Nmr Relaxation ◽  
Relaxation Behavior ◽  
Phase Flow ◽  
Micro Scale ◽  
Multi Phase Flow ◽  
Multi Phase

scholarly journals Study of Multi-phase Flow in Porous Media: Comparison of SPH Simulations with Micro-model Experiments

2015 ◽  
Vol 114 (2) ◽  
pp. 581-600 ◽  
Author(s):  
P. Kunz ◽  
I. M. Zarikos ◽  
N. K. Karadimitriou ◽  
M. Huber ◽  
U. Nieken ◽  
...  
Keyword(s):  
Porous Media ◽  
Flow In Porous Media ◽  
Phase Flow ◽  
Micro Model ◽  
Model Experiments ◽  
Media Comparison ◽  
Multi Phase Flow ◽  
Multi Phase

Changes in multi-phase flow properties of carbonate porous media during CO2 injection

2020 ◽  
Vol 60 (2) ◽  
pp. 672
Author(s):  
Mojtaba Seyyedi ◽  
Ausama Giwelli ◽  
Cameron White ◽  
Lionel Esteban ◽  
Michael Verrall ◽  
...  
Keyword(s):  
Porous Media ◽  
Pore Structure ◽  
Relative Permeability ◽  
Carbonate Rock ◽  
Trapping Potential ◽  
Co2 Injection ◽  
Phase Flow ◽  
Residual Trapping ◽  
Multi Phase Flow ◽  
Multi Phase

Impacts of fluid–rock geochemical reactions occurring during CO2 injection into underground formations, including CO2 geosequestration, on porosity and single-phase permeability are well documented. However, their impacts on pore structure and multi-phase flow behaviour of porous media and, therefore, on CO2 injectivity and residual trapping potential, are yet unknown. We found that CO2-saturated brine–rock interactions in a carbonate rock led to a decrease in the sweep efficiency of the non-wetting phase (gas) during primary drainage. Furthermore, they led to an increase in the relative permeability of the non-wetting phase, a decrease in the relative permeability of the wetting phase (brine) and a reduction in the residual trapping potential of the non-wetting phase. The impacts of reactions on pore structure shifted the relative permeability cross-point towards more water-wet condition. Finally, calcite dissolution caused a reduction in capillary pressure of the used carbonate rock. For CO2 underground injection applications, such changes in relative permeabilities, residual trapping potential of the non-wetting phase (CO2) and capillary pressure would reduce the CO2 storage capacity and increase the risk of CO2 leakage.

scholarly journals Probability density function approach for modelling multi-phase flow with ganglia in porous media

2011 ◽  
Vol 688 ◽  
pp. 219-257 ◽  
Author(s):  
Manav Tyagi ◽  
Patrick Jenny
Keyword(s):  
Porous Media ◽  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Transport Equations ◽  
Kolmogorov Equation ◽  
Phase Flow ◽  
Correlation Times ◽  
Multi Phase Flow ◽  
Multi Phase

AbstractA probabilistic approach to model macroscopic behaviour of non-wetting-phase ganglia or blobs in multi-phase flow through porous media is proposed. The key idea is to consider a set of stochastic Markov processes that can mimic the microscopic multi-phase dynamics. These processes are characterized by equilibrium probability density functions (PDFs) and correlation times, which can be obtained from micro-scale simulation studies or experiments. A Lagrangian viewpoint is adopted, where stochastic particles represent infinitesimal fluid elements and evolve in the physical and probability space. Ganglion mobilization and trapping are modelled by a two-state jump process with transition probabilities given as functions of ganglion size. Coalescence and breakup of ganglia influence the ganglion size distribution, which is modelled by a Langevin type equation. The joint probability density function (JPDF) of the chosen stochastic variables is governed by a high-dimensional Chapman–Kolmogorov equation. This equation can be used to derive moment (e.g. saturation, mean mobility etc.) transport equations, which in general do not form a closed system. However, in some special cases, which arise in the limit of one time scale being smaller or larger than the others, a closed set of moment transport equations can be obtained. For slowly varying and quasi-uniform flows, the saturation transport equation appears in closed form with the mean mobility fully determined, if the equilibrium PDFs are known. Furthermore, it is shown how statistical parameters such as mobilization and trapping rates and equilibrium PDFs can be obtained from the birth–death type approach, in which ganglia breakup and coalescence are explicitly considered. A two-equation transport model (one equation for the total saturation and one for the trapped saturation) is obtained in the limit of very fast coalescence and breakup processes. This model is employed to mimic hysteresis in relative permeability–saturation curves; a well known phenomenon observed in the successive processes of imbibition and drainage. For the general case, the JPDF-equation is solved using the stochastic particle method, which was proposed in our previous paper (Tyagi et al. J. Comput. Phys. 227, 2008, 6696–6714). Several one- and two-dimensional numerical simulation results are presented to show the influence of correlation times on the averaged macroscopic flow behaviour.

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