Abstract

In general, macroscopic two-phase flows in porous media form mixtures of connected- and disconnected-oil flows. The latter are classified as oil ganglion dynamics and drop traffic flow, depending on the characteristic size of the constituent fluidic elements of the non-wetting phase, namely, ganglia and droplets. These flow modes have been systematically observed during flow within model pore networks as well as real porous media. Depending on the flow conditions and on the physicochemical, size and network configuration of the system (fluids and porous medium), these flow modes occupy different volume fractions of the pore network. Extensive simulations implementing the DeProF mechanistic model for steady-state, one-dimensional, immiscible two-phase flow in typical 3D model pore networks have been carried out to derive maps describing the dependence of the flow structure on capillary number, Ca, and flow rate ratio, r. The model is based on the concept of decomposition into prototype flows. Implementation of the DeProF algorithm, predicts key bulk and interfacial physical quantities, fully describing the interstitial flow structure: ganglion size and ganglion velocity distributions, fractions of mobilized/stranded oil, specific surface area of oil/water interfaces, velocity and volume fractions of mobilized and stranded interfaces, oil fragmentation, etc. The simulations span 5 orders of magnitude in Ca and r. Systems with various viscosity ratios and intermediate wettability have been examined. Flow of the non-wetting phase in disconnected form is significant and in certain cases of flow conditions the dominant flow mode. Systematic flow structure mutations with changing flow conditions have been identified. Some of them surface-up on the macroscopic scale and can be measured e.g. the reduced pressure gradient. Other remain in latency within the interstitial flow structure e.g. the volume fractions of − or fractional flows of oil through − connected-disconnected flows. Deeper within the disconnected-oil flow, the mutations between ganglion dynamics and drop traffic flow prevail. Mutations shift and/or become pronounced with viscosity disparity. They are more evident over variables describing the interstitial transport properties of process than variables describing volume fractions. Τhis characteristic behavior is attributed to the interstitial balance between capillarity and bulk viscosity.

Highlights

  • Fluid flow in porous media, i.e. porous rocks, fracture networks and granular media, is subject to considerable interdisciplinary research activity in physics, earth sciences and engineering

  • Using these extensive simulations and the associated flow structure maps, it is possible to understand the mechanisms underlying the significant mutations observed in two-phase flows in porous media in mixtures of connected and disconnected oil flow and reveal the systematic nature of these mutations

  • A core feature of the Decomposition into Prototype Flows (DeProF) model is the detection of all flow configurations that are physically admissible under the imposed macroscopic flow conditions

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Summary

INTRODUCTION

Fluid flow in porous media, i.e. porous rocks, fracture networks and granular media, is subject to considerable interdisciplinary research activity in physics, earth sciences and engineering. Previous works by Valavanides and Payatakes (2000; 2001; 2002; 2003; 2004) addressed the performance of the DeProF model, benchmarked the specificity of its predictions and revealed critical flow characteristics over a single order of magnitude on Ca and for systems with specific viscosity ratio values À to simulate the Avraam and Payatakes (1995) experiments Using these extensive simulations and the associated flow structure maps, it is possible to understand the mechanisms underlying the significant mutations observed in two-phase flows in porous media in mixtures of connected and disconnected oil flow (connected-oil pathway flow, small and large ganglion dynamics, drop traffic flow) and reveal the systematic nature of these mutations. The mechanistic model DeProF developed by Valavanides and Payatakes (2000, 2001, 2012), can be used to obtain the solution to the problem of steady-state two-phase flow in pore networks, by predicting the reduced macroscopic pressure gradient, x, given the values of physical quantities defining the flow conditions and the oil-water-p.m. system properties

The independent variables for steady-state twophase flow in pore networks
The DeProF model equations
I max nGi
Physically Admissible Flow Configurations
PORE NETWORK
Pore Network Geometry
Mobilization of drops and ganglia
VARIABLES DESCRIBING THE INTERSTITIAL FLOW STRUCTURE
Mean ganglion sizes
Imax 1
Imax 0 m
Interstitial flow structure in terms of transport properties
SIMULATIONS OF STEADY-STATE 2-PH FLOW IN PORE NETWORKS
Reduced pressure gradient
Reduced mechanical power dissipation
Interfacial areas and oil disconnectedness
Energy efficiency of steady-state two-phase flow in porous media processes
Findings
Discussion of results
CONCLUSION

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