The ImproDeProF project

Two-phase flow in porous media: 

Improvement of the Mechanistic Model DeProF and implementation in practical applications

 

  Research project seed-funded by the European Union (European Social Fund) and Greek national resources in the frameworks of the “Archimedes III: Funding of Research Groups in TEI of Athens” (MlS 379389), a RTD project of the “Education & Lifelong Learning” Operational Program


Summary

Two-phase flow in porous media (2ph pm) occupies a central position in physically important processes with practical applications in the energy and environmental sector industries.

To date, the characterization and modeling of multiphase flows in p.m. has delivered promising theoretical and experimental results over a hierarchy of scales (pore-to-production). Nevertheless, integration across those scales remains an outstanding problem. Likewise, technological progress has enabled laboratory studies to expose latent flow mechanisms; pore-scale phenomena and critical interstitial physical quantities can now be identified and assessed digitally, computationally, or experimentally. At the same time, pragmatic sustainability issues on energy production/management shifted “recovery increase” trends into “process efficiency optimization” scopes and targets. As a consequence, new challenges emerge within a wide spectrum of technological problems, extending from laboratory scales, e.g. design systematic protocols for regular/special core analysis (R/SCAL) for data collection/interpretation, to industrial scales, e.g. unconventional/ enhanced oil recovery (EOR) /carbon capture & sequestration (CCS), soil & aquifer pollution & remediation or operation of trickle-bed reactors.

Without neglecting the fact that the majority of industrial applications of two-phase flow in macroscopically heterogeneous porous media are based on inherently transient processes, to understand the physics of such processes in a deeper context, we need first to understand the stationary case, steady-state two-phase flow in p.m.

The DeProF model:

The scope of the ImproDeProF project is to further develop the DeProF model and to extend and improve the associated tentative theory to reveal the latent physics governing the sought process. The associated flow analysis takes into account:

(1) Disconnected flow - A complete, rigorous, and true-to-mechanism modeling of two-phase flow should incorporate the flow of disconnected non-wetting phase (NWP), a substantial and sometimes prevailing flow pattern. The flow of disconnected NWP is observed in artificial, stochastic, and virtual pore network models, as well as in real p.m. and extends over regimes spanning large and small NWP ganglion dynamics, to NPW droplet flow, to emulsion type flows.

(2) Independent variables – The conventional approach of saturation-dependent relative permeability cannot handle a specific-enough representation of the process phenomenology across the entire spectrum of flow conditions. The set of independent variables is reappraised, considering the inherent, flow rate dependencies of the process.

(3) Inherent degrees of freedom - The process itself is a complex hierarchical system, strongly affected by factors residing at several different length scales and/or occurring over widely different time scales. The correlated and cross-dependent behavior of individual small-scale components (e.g. interactions between the pore-scale geometry of the disconnected NWP and the connected WP) induces a dynamic system behavior at the next scale (e.g. core scale) and so on (e.g. formation scales). Ergodicity is nested within the physics of multiphase flows and is reflected in the incessant reconfiguration of interstitial flow structures even under steady-state flow conditions. Recent simulations suggest that inherent degrees of freedom depend strongly on the extent of the NWP disconnectedness.

Below you may find a list of recent publications produced within the framework of the ImproDeProF project, delineating the latest advances, indicative applications, and future challenges in the development of a tentative theory for two-phase flow in porous media, namely the DeProF theory.


For more Information pls contact the Project leader
Prof. Marios Valavanides
phone: +30 210 538 -7205 (office) -7208 (lab)
e-mail: marval@uniwa.gr   webpage: http://users.uniwa.gr/marval/index_en.html

 

News   (updated Oct. 2021)

Grants! 2 complementary grants were awarded to M.S. Valavanides (UNIWA) for a 3-month research stay at the Institute of Applied Mechanics (MIB) / Univ. of Stuttgart to deploy the project "Laboratory validation of Flow-Dependent Relative Permeability Scaling for steady-state two-phase flow in micro-fluidic pore networks" in collaboration with Prof. H. Steeb and his group.

Sponsoring foundations:


DAAD Logo SPWLA Logo

        (a) the German Academic Exchange Service       

(DAAD - 5752335 Research Stays for University Academics and Scientists, 2021)

       (b) the Society of Petrophysicists and Well Log Analysts   

   (SPWLA 2021 Grants & Scholarship recipients)

 

Formation of HINC the Hellenic InterPore National Chapter --> https://www.interpore.org/wp-content/uploads/2019/09/HINC-kick-off-meeting-and-one-day-conference.pdf  https://www.interpore.org/interpore-national-chapter-events/

 

ImproDeProF Project results   (updated Dec. 2022)

Working Papers

  1. Valavanides, M.S., Kamvyssas, G., Zarikos, I. (2019) “Effective permeability of periodically layered sandstones based on homogenization theory”
  2. Valavanides, M.S. (2018) "Estimation of the number density of configurational microstates in two-phase flows in model porous media", http://users.uniwa.gr/marval/publ/Valavanides_Entropy2018.pdf

 Journal Papers

  1. Karadimitriou, N., Valavanides, M.S., Mouravas, K., Steeb, H. (2023) "Flow Dependent Relative Permeability Scaling for Steady-State, Two-Phase Flow in Porous Media: Laboratory Validation on a Microfluidic Network" Petrophysics 64 (5), pp. 656-679, https://doi.org/10.30632/PJV64N5-2023a4, http://users.uniwa.gr/marval/publ/Karadimitriou_etal_Petrophysics2023.pdf
  2. Valavanides, M.S. (2023) “Flowrate Dependency of Steady-State Two-Phase Flows in Pore Networks: Universal, Relative Permeability Scaling Function and System Characteristic Invariants." Transp. in Porous Media 150, 521:557, https://doi.org/10.1007/s11242-023-02012-5
  3. Valavanides, M.S. (2018) "Review of steady-state two-phase flow in porous media: independent variables, universal energy efficiency map, critical flow conditions, effective characterization of flow and pore network" Transp. in Porous Media 123 (1), pp. 42-99, https://doi.org/10.1007/S11242-018-1026-1
  4. Valavanides, M.S. (2018) "Oil fragmentation, interfacial surface transport and flow structure maps for two-phase flow in model pore networks. Predictions based on extensive, DeProF model simulations." Oil & Gas Science and Technology - Rev. IFP Energies nouvelles 73 (6), pp. 1-36, https://doi.org/10.2516/ogst/2017033 also http://users.uniwa.gr/marval/publ/Valavanides_OGST_73_2018.pdf  
  5. Kamvyssas, G., Valavanides, M.S. (2017) "Analytical Solution of the Saturated Flow Problem in 7-Spot, 2D Geometries" Fresenius Environmental Bulletin 26 (9), pp. 5523-5528, http://users.uniwa.gr/marval/publ/Kamvyssas_Valavanides_FEB_26_2017.pdf
  6. Valavanides, M.S., Daras, T. (2016) “Definition and Counting of Configurational Microstates in Steady-State Two-Phase Flows in Pore NetworksEntropy 18 (054), pp. 1-28, http://www.mdpi.com/1099-4300/18/2/54, http://dx.doi.org/10.3390/e18020054
  7. Valavanides, M.S., Totaj, E., Tsokopoulos, M. (2016) “Energy Efficiency Characteristics in Steady-State Relative Permeability Diagrams of Two-Phase Flow in Porous MediaJournal of Petroleum Science and Engineering 147, pp. 181-201 http://dx.doi.org/10.1016/j.petrol.2016.04.039
  8. Tsakiroglou, C.D., Aggelopoulos, C.A., Terzi, K., Avraam, D.G., Valavanides, M.S. (2015) "Steady-state two-phase relative permeability functions of porous media: A revisit" International Journal of Multiphase Flow 73 pp. 34–42, http://dx.doi.org/10.1016/j.ijmultiphaseflow.2015.03.001
  9. Valavanides, M.S., Skouras, E.D. (2014) “Rational solitary well spacing in soil remediation processesFresenius Environmental Bulletin 23(11) pp.2847-2851, http://users.uniwa.gr/marval/publ/Valavanides_Skouras_FEB_23_11_2014.pdf 
  10. Valavanides, M.S. (2014) “Portfolios as off-equilibrium processes: similarities and affinitiesProcedia - Social and Behavioral Sciences 119 pp.539-548, http://dx.doi.org /10.1016/j.sbspro.2014.03.060 
  11. Valavanides, M.S. (2012) “Steady-State Two-Phase Flow in Porous Media: Review of Progress in the Development of the DeProF Theory Bridging Pore- to Statistical Thermodynamics- ScalesOil & Gas Science and Technology 67(5) pp. 787-804, http://dx.doi.org/10.2516/ogst/2012056 also http://users.uniwa.gr/marval/publ/Valavanides_OGST_67_2012.pdf 

Conference Proceedings

  1. Valavanides, M.S., Karadimitriou, N., Steeb H. (2022) "Flow Dependent Relative Permeability Scaling for Steady-State, Two-Phase Flow in Porous Media: Laboratory Validation on a Microfluidic Network", SPWLA 63rd Annual Logging Symposium, MS 1391, Stavanger, Norway, June 11-15, https://doi.org/10.30632/SPWLA-2022-0054, https://onepetro.org/SPWLAALS/proceedings/5-SPWLA22/D051S020R002/487799http://users.uniwa.gr/marval/publ/Valavanides_etal_2022_SPWLA63_0054c.pdf 
  2. Karadimitriou, N., Valavanides, M.S., Steeb, H. (2022) "Interstitial Flow Instabilities During Steady-State Two-Phase Flow in Microfluidic Pore Network Models", 13th Panhelenic Scientific Conference of Chemical Engineering PSCCE, Art. P-478, University of Patras, June, 2-4, http://users.uniwa.gr/marval/publ/Karadimitriou_etal_2022_PSXM13_P478.pdf
  3. Valavanides, M.S., Mascle, M., Youssef, S., Vizika, O. (2020) "Steady-State Two-Phase Flow in Porous Media: Laboratory Validation of Flow Dependent Relative Permeability Scaling", E3S Web of Conferences 146, 03002, The Intern. Symp. of the Society of Core Analysts, SCA2019, https://doi.org/10.1051/e3sconf/202014603002
  4. Valavanides, M.S. (2018) "Universal, Flow Dependent Relative Permeability Scaling for Steady-State Two-Phase Flows in Porous Media", International Symposium of the Society of Core Analysts, SCA2018-060, Trondheim, Norway, August 27-30, http://users.uniwa.gr/marval/publ/Valavanides_SCA2018-060.pdf
  5. Valavanides, M.S. (2018) "Taxonomy of Steady-State Two-Phase Flows in Porous Media", International Symposium of the Society of Core Analysts, SCA2018-067, Trondheim, Norway, August 27-30, http://users.uniwa.gr/marval/publ/Valavanides_SCA2018-067.pdf
  6. Valavanides, M.S. (2015) "ImproDeProF Project: Recent Advances and New Challenges in the development of the DeProF tentative theory for steady-state two-phase flow in porous media" SCinTE 2015, Athens, Nov. 5-7
  7. Valavanides, M.S., Skouras, E.D., Kalarakis, A.N., Burganos, V.N. (2015) "Integration of Flow Dependent Relative Permeability Maps for Two-Phase Flow in Porous Media into the COMSOL MultiphysicsTM Earth Science Module" COMSOL 2015 Conference, Grenoble, Oct. 14-16
  8. Skouras, E.D., Kalarakis, A.N., Valavanides, M.S., Burganos, V.N. (2015) "Two-Phase Flow Calculations in Pore Unit-Cells Implementing Mixed FEM/Lattice-Boltzmann Simulators" COMSOL 2015 Conference, Grenoble, Oct. 14-16
  9. Daras, T., Valavanides, M.S. (2015) "Number of Microstates and Configurational Entropy for Steady-State Two-Phase Flows in Pore Networks" AIP Conf. Proc. 1641 pp. 147-154,  http://dx.doi.org/10.1063/1.4905973
  10. Valavanides, M.S., Totaj, E., Tsokopoulos, M. (2015) “Retrospective examination of relative permeability data on steady-state two-phase flow in porous media” in N.E. Mastorakis et al. (Editors) "Proceedings of the International Conference on Mechanics, Materials, Mechanical & Chemical Engineering (MMCE 2015)" ISBN 978-1-61804-295-8, pp.156-165
  11. Valavanides, M.S. (2014) "Operational Efficiency Map and Flow Characterization for Steady-State Two-Phase Flows in Porous Media", paper SCA2014-047, International Symposium of the Society of Core Analysts, Avignon, France, September 8-1, http://users.uniwa.gr/marval/publ/Valavanides_SCA2014-047.pdf
  12. Tsakiroglou, C.D., Aggelopoulos, C.A., Terzi, K., Avraam, D.G., Valavanides, M.S. (2014) "Explicit correlation of the steady-state two-phase relative permeability functions of porous media with the local flow ratesSociety of Core Analysts Symposium - SCA2014, Avignon, France, September 8-14
  13. Valavanides, M.S. (2010) "Optimum Operating Conditions for Steady-State Two-Phase Flow in Pore Networks: Conceptual Justification absed on Statistical Thermodynamics" Society of Petroleum Engineers Annual Conference and Exhibition, SPE135429, Florence, Italy, Sept 19-22, http://users.uniwa.gr/marval/publ/Valavanides_SPE135429_2010.pdf

 

Conference extnd abstracts / posters

  1. Valavanides, M.S., Sinha, S., Hansen, A., (2020). ”Relative magnitude of capillary over bulk viscosity resistances for NWP blobs flowing within periodic capillary tubesInterPore 2020, Qingdao, China, May 24-29
  2. Morfopoulos, A., Valavanides, M.S. (2019) "Correlations between cross-over and critical-flow conditions in steady-state, two-phase flow in porous media - Do they exist?InterPore2019, 11th International Conference on Porous Media, Valencia, Spain, May 6-10
  3. Valavanides, M.S. (2017) "Steady-state two-phase flow in porous media: independent variables, critical flow conditions, universal energy efficiency map and effective, flow and system characterization." PoreLab Group Kick-off Meeting, Oslo, Norway, Sept. 2017
  4. Valavanides, M.S. (2016) "A new methodology for effective, two-phase flow characterization of pore network structures" InterPore2016, 8th International Conference on Porous Media, Cincinnati, OH USA, May 9-12
  5. Valavanides, M.S., Daras, T. (2015) "Configurational Entropy Maps for Steady-State Two-Phase Flows in Pore Networks implementing the DeProF model algorithm" InterPore2013, 7th International Conference on Porous Media, Padova, Italy, May 18-21
  6. Valavanides, M.S. (2013) "Capillary vs Viscous Flow: Introduction of a Normative Methodology for the Characterization of 2-Ph Flow in P.M.6th Panhellenic Symposium on Porous Media, Kavala, Greece, September 9-10
  7. Valavanides, M.S., Kamvyssas, G., Totaj, E. (2013) "Retrospective Examination of Relative Permeability Data and Operational Efficiency Aspects for Steady-State 2-Phase Fow in Porous Media" 6th Panhellenic Symposium on Porous Media, Kavala, Greece, September 9-10  
  8. Tsakiroglou, C., Aggelopoulos, C.A., Terzi, K., Avraam, D.G., Valavanides, M.S. (2013) “Dependence of the Steady-State Relative Permeability Functions of Porous Media on Flow Rates: A RevisitPSPM-6, 6th Panhellenic Symposium on Porous Media, Kavala, Greece, September 9-10  
  9. Valavanides, M.S., Kamvyssas, G. (2013) “Operational Efficiency Map of Steady-State Two-Phase Flow in Porous Media ProcessesInterPore2013, 5th International Conference on Porous Media, Prague, Czech Rep., May 21-24

Other 

  1. Karadimitriou, N., Valavanides, M.S., Mouravas, K., Steeb, H. (2023) Video snapshots from "Flow Dependent Relative Permeability Scaling for Steady-State, Two-Phase Flow in Porous Media: Laboratory Validation on a Microfluidic Network" Petrophysics, S.I. "Energy Transition", SPWLA-D-23-00008, http://users.uniwa.gr/marval/HydroLab/FC770_k0736_Ca479e-5_20220209_snpsts0001-1181.mp4
  2. Valavanides, M.S. (2013) "Transformer for steady-state relative permeability data"  -  You may download the hyperlinked excel file in your PC, input your steady-state relperm data and discover what are the local optimum operation conditions in your process, what is the character of flow (capillary/viscous) for each condition and what is the maximum attainable process operational efficiency in your system. In case you need help just send an email to marval@uniwa.gr
  3. Valavanides, M.S., Totaj, E., Tsokopoulos, M. (2015) "Retrospective Examination of Relative Permeability Data on Steady-State 2-Ph Flow in Porous Media Transformation of Rel-Perm Data (kro, krw) into Operational Efficiency Data (fEU)" ImproDeProF /Archimedes III, project internal report http://users.uniwa.gr/marval/ArchIII/retrorelperm.pdf.
  4. Valavanides, M.S. (2013) “Comments on [Analysis of Fundamentals of Two-Phase Flow in Porous Media Using Dynamic Pore-Network Models: A Review by V. Joekar-Niasar and S. M. Hassanizadeh (2012) Crit. Rev. Env. Sci. Tech. 42:18 pp. 1895–1976]” manuscript submitted to Crit. Rev. Env. Sci. Tech., unsolicited
  5. Valavanides, M.S. (2012) “From Pore to Network to DeProF TO aSaPP: Development of a Complete Theory for Steady-State Two Phase Flow in Porous Media, Spanning Pore- to Statistical Thermodynamics- Scales”, Gordon Research Conference on ‘Flow and Transport in Porous Media’, Les Diablerets, Switzerland, June  24-29
     
 

Past Events

Minisymposium MS18: "Innovative Methods for Characterization, Monitoring, and In-Situ Remediation of Contaminated Soils and Aquifers", held Online-only within  InterPore2020 Aug. 30 - Sep.  4, 2020, Co-organizers: C.D. Tsakiroglou (FORTH/ICE-HT), M.S. Valavanides (UniWA), O. Vizika (IFP-EN), Qi Li (Chinese Academy of Sciences)

The efficacy of methods used for the characterization, monitoring, and remediation of contaminated soils and aquifers is unavoidably associated with the multi-scale properties of unsaturated and saturated zones. The development of innovative, and cost-effective methods for (i) mapping and monitoring polluted soils and surface emissions from spread pollutants, and (ii) in situ soil and aquifer remediation rely on information resulting from lab-, pilot-, and field-scale tests along with process modeling and simulation in porous media. Toward this direction, earlier and new knowledge concerning the multiphase and multi-component transport and reactive processes in multi-scale porous media must be handled in the light of interdisciplinary approaches (e.g. geology, chemistry, chemical engineering, physics, etc.) for understanding, analyzing, and modeling the complex processes involved. For this mini-symposium, we invite experimental and theoretical contributions that focus on the development, application, and interpretation of innovative techniques for the characterization / monitoring / in situ remediation (e.g. biological treatment, thermal treatment, advanced oxidation, electro-remediation, nanoremediation, hybrid technologies, etc.) of soils and aquifers at a broad hierarchy of scales ranging from the pore- to the field-scale.

Minisymposium MS 1.12: "Simulation (Lab, Virtual) As a Source of New Knowledge", held within the 8th International Conference on Porous Media, May 9-12, Cincinnati, Ohio, USA, Co-organizers: M.S. Valavanides (TEI Athens), A. Hansen (NTNU), V.N. Burganos (FORTH/ICE-HT)

The mini-symposium focused on simulations within a virtual or real model domain under pre-selected or controlled conditions, in order to observe and retrieve data and measurable information within flow in porous media phenomena. The purpose is to grasp a representative image and give a better understanding of the physics of the process at the REV scale, provide insight into the pertinent mechanisms, and then integrate this knowledge (not just information) into sound theoretical inferences on the macroscopic description of the processes. Topics addressed: (a) Implementation of current simulation technologies into providing a better understanding of the phenomenology of multi-phase flow in porous medium (understanding by simulating), (b) Design of efficient experimental protocols that will bridge modeling with data interpretation and application into improved functional description and characterization of flow and porous media (synthesis), (c) Other ideas/approaches integrating simulation into new knowledge, for improving tentative theories on multi-phase flows in porous media.

Minisymposium MS 1.3: "Unconventional Modelling of Multi-Phase Flows in Porous Media",  held in parallel to the 7th International Conference on Porous Media, May 18-21, Padova, Italy, Co-organizers: M.S. Valavanides (TEI Athens), M. A. Ioannidis (U. Waterloo), C.D. Tsakiroglou (FORTH/ICE-HT), O. Vizika (IFP-REN)

The mini-symposium focused on unconventional modeling of multi-phase flows, with special consideration on disconnected flow regimes, process’ inherent degrees of freedom, a reappraisal of true-to-mechanism independent variables, etc. New approaches integrating current knowledge into a unified theory for multi-phase flow in p.m. have been communicated and emerging research perspectives have been addressed.


 

Invitation

to join an international effort for Retrospective Examination of Relative Permeability Data (Dec. 2013)

Dear Colleagues and Fellow Researchers,

You are invited to join the ImproDeProF project team efforts in collecting laboratory-measured relative permeability data sets. As a follow-up of the ImproDeProF project, it is planned to establish a data base of relative permeability data sets, and to conduct a retrospective examination focusing on latent critical flow conditions for steady-state two-phase flow in porous media.

So far, the data base comprises a total of 179 relative permeability diagrams pertaining to laboratory runs collected from 35 published works (see [3] and [2] above). 

If you have rel-perm data sets that you are willing to share or that could be used in this re-investigation, please contact Dr. Marios Valavanides (marval@uniwa.gr).

 

 

 

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  1. marval k24-29
  2. Mr DeProF, M24-29