EOR using foam

International collaboration between UFJF (Federal University of Juiz de Fora, Brazil), TU Delft (Delft University of Technology, Holland) and PUC-Rio (Pontifical Catholic University of Rio de Janeiro, Brazil) supported by Shell Brazil

 

Phase II — Advancing mathematical and computational modeling to support the implementation of “Foam-assisted WAG” technology in pre-salt reservoirs. (2023– )

The main objectives of this 4-year project are:

  • Investigate field project risks and enhance understanding of foam formation and displacement in porous media, considering Foam Assisted Water Alternating Gas (FAWAG) technology in Pre-salt reservoirs. Develop analytical methods and numerical tools to test and validate commercial simulators.
  • Apply numerical and analytical methods to realistic scenarios, including laboratory experiments and Pre-salt reservoir data, with a focus on physical modeling, mathematical analysis, and numerical simulations of gas flow and surfactant solutions in carbonates.

The main deliverables of this project are:

  • A simplified theoretical model of foam flow that allows for detailed analytical study and is suitable for foam generation, including solving the Riemann problem and finding solutions with traveling waves.
  • A computational simulator that combines finite volume and finite element methods, validated by analytical results and experimental data, capable of simulating complex multiphase flows including foam.
  • Theoretical analyses including the dynamics of surfactant adsorption and its influence on foam generation in complex scenarios, with validation and adjustment of the models using experimental data from laboratories and real reservoirs.

The project has a strong multidisciplinary focus, integrating mathematical analysis and numerical simulations conducted at UFJF, experimental investigations carried out at PUC-Rio, and physical modeling guided by renowned foam EOR experts from TU Delft.

On the Identifiability of Relative Permeability and Foam Displacement Parameters in Porous Media Flow.
FRIBEIRO, L. S. ; MIRANDA, G. B. ; ROCHA, B. M. ; CHAPIRO, G. ; SANTOS, R. WEBER DOS
WATER RESOURCES RESEARCH, v. 60, p. 1-18, 2024.

On the Riemann Problem for the Foam Displacement in Porous Media with Linear Adsorption.
FRITIS, GIULIA C. ; PAZ, PAVEL S. ; LOZANO, LUIS F. ; CHAPIRO, G.
SIAM JOURNAL ON APPLIED MATHEMATICS, v. 84, p. 581-601, 2024.

Numerical simulation of foam displacement impacted by kinetic and equilibrium surfactant adsorption.
DE PAULA, FILIPE F. ; IGREJA, IURY ; QUINELATO, THIAGO O. ; CHAPIRO, G..
ADVANCES IN WATER RESOURCES, v. online, p. 104690, 2024.

Sensitivity analysis and uncertainty quantification based on the analytical solution for nanoparticle-stabilized foam flow in porous media. Geoenergy Science And Engineering.
DANELON, TATIANA ; ROCHA, BERNARDO MARTINS ; DOS SANTOS, RODRIGO WEBER ; CHAPIRO, G.
Geoenergy Science And Engineering, v. online, p. 213285, 2024.

The traveling foam wavefront in fractured porous medium.
CASTRILLÓN VÁSQUEZ, A.J. ; LOZANO, L.F. ; CHAPIRO, G.
JOURNAL OF COMPUTATIONAL PHYSICS, v. 519, p. 113437, 2024.

On Mapping Local Foam Mobility in Porous Media from Computed Tomography Data.
CHAPIGO, G.; QUINELATO, T. O. ; PEREIRA, W. ; DOS SANTOS, R. W. ; ZITHA, P. L. J.
SPE JOURNAL, p. 1-12, 2024.

 

Phase I — Mathematical and computational modeling of foam injection as an enhanced oil recovery technique applied to Brazil pre-salt reservoirs (2018–2023)

The main objectives of this 4-year project are:

  • Improve the understanding of physics and mathematics describing the foam displacement in porous media as an enhanced oil recovery (EOR) technique applied to Brazil pre-salt reservoirs.EOR
  • Develop analytic and numerical methods that can be used to test and validate commercial simulators.

The main deliverables of this project are:

  • Formulation of simple models describing foam displacement, that can be investigated mathematically.
  • Formulation and implementation of precise and robust numerical methods to simulate foam displacement in porous media.
  • The detailed analysis of the solutions obtained mathematically and numerically allowing the validation of commercial simulators.

The project has a strongly multidisciplinary appeal bringing together the mathematical analysis and numerical simulations performed in UFJF, experimental investigation realized in PUC-Rio and physical modeling assisted by renowned experts in foam EOR from TU Delft.

A numerical investigation into the influence of the surfactant injection technique on the foam flow in heterogeneous porous media.
DE PAULA, FILIPE F.; IGREJA, IURY; QUINELATO, THIAGO; CHAPIRO, GRIGORI.
ADVANCES IN WATER RESOURCES, v. 171, p. 104358, 2023.

Traveling Wave Solutions for Non-Newtonian Foam Flow in Porous Media.
DA SILVA PEREIRA, WESLLEY; CHAPIRO, GRIGORI.
TRANSPORT IN POROUS MEDIA, v. online, p. 1, 2023.

Characterization of Foam-Assisted Water-Gas Flow via Inverse Uncertainty Quantification Techniques.
MIRANDA, G. B.; RIBEIRO, L. S.; DA FONSECA FAÇANHA, JULIANA MARIA; PÉREZ-GRAMATGES, AURORA; ROCHA, B. M.; CHAPIRO, G.;DOS SANTOS, R. W..
Lecture Notes in Computer Science, v. 13353, p. 310-322, 2022

Foam-Assisted Water-Gas Flow Parameters: From Core-Flood Experiment to Uncertainty Quantification and Sensitivity Analysis.
VALDEZ, ANDRÉS R.; ROCHA, BERNARDO M.; DA FONSECA FAÇANHA, JULIANA MARIA; DE SOUZA, ALEXANDRE VILELA OLIVEIRA; PÉREZ-GRAMATGES, AURORA; Chapiro, Grigori; SANTOS, RODRIGO WEBER DOS.
TRANSPORT IN POROUS MEDIA, v. 144, p. 189-209, 2022.

On the injectivity estimation in foam EOR.
QUINELATO, THIAGO O.; DE PAULA, FILIPE F.; IGREJA, IURY; LOZANO, LUIS F.; CHAPIRO, GRIGORI.
Journal Of Petroleum Exploration And Production Technology, v. 12, p. 2723-2734, 2022.

The traveling wavefront for foam flow in two-layer porous media.
ÁSQUEZ, A. J. CASTRILLÓN; LOZANO, L. F.; PEREIRA, W. S.; CEDRO, J. B.; CHAPIRO, G..
COMPUTATIONAL GEOSCIENCES, v. 26, p. 1549-1561, 2022.

Bubble-growth regime for confined foams: Comparison between N2-CO2/foam and CO2/foam stabilized by silica nanoparticles.
FAÇANHA, JULIANA M.F.; LOPES, LEANDRO F.; FRITIS, GIULIA; GODOY, PABLO; WEBER DOS SANTOS, RODRIGO; CHAPIRO, GRIGORI; PEREZ-GRAMATGES, AURORA.
JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, v. 218, p. 111006, 2022.

Assessing uncertainties and identifiability of foam displacement models employing different objective functions for parameter estimation.
VALDEZ, ANDRÉS R.; ROCHA, BERNARDO MARTINS; CHAPIRO, GRIGORI; DOS SANTOS, RODRIGO WEBER.
JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, v. 214, p. 110551, 2022.

Mathematical properties of the foam flow in porous media.
LOZANO, LUIS F.; ZAVALA, ROSMERY QUISPE; CHAPIRO, GRIGORI.
COMPUTATIONAL GEOSCIENCES, v. 25, p. 515-527, 2021.

How simplifying capillary effects can affect the traveling wave solution profiles of the foam flow in porous media.
LOZANO, LUIS F.; CEDRO, JHUAN B.; ZAVALA, ROSMERY V. QUISPE; CHAPIRO, GRIGORI.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, v. 139, p. 103867, 2021.

Analytical Solution for the Population-Balance Model Describing Foam Displacement.
ZAVALA, ROSMERY Q.; LOZANO, LUIS F.; ZITHA, PACELLI L. J.; CHAPIRO, GRIGORI.
TRANSPORT IN POROUS MEDIA, v. 144, p. 211-227, 2021.

A Numerical Algorithm to Solve the Two-Phase Flow in Porous Media Including Foam Displacement.
DE PAULA, FILIPE F.; QUINELATO, T. O.; IGREJA, IURY; CHAPIRO, G.
Lecture Notes in Computer Science, v. 12143, p. 18-31, 2020.

Uncertainty quantification and sensitivity analysis for relative permeability models of two-phase flow in porous media.
A.R. Valdez, B.M. Rocha, G. Chapiro, R.W. dos Santos
Journal of Petroleum Science and Engineering, 107297, 2020.

Um estudo de quantificação de incertezas e análise de sensibilidade de funções de fluxo fracionário da equação de Buckley-Leverett.
A. Valdez, R.W. dos Santos, G. Chapiro, B.M. Rocha
Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2020.

Mathematical properties of the foam flow in porous media
L. F. Lozano, R. Q. Zavala, G. Chapiro
Computational Geosciences, 25, 1, 515–527, 2021.

Foam‐Assisted Water–Gas Flow Parameters: From Core‐Flood Experiment to Uncertainty Quantification and Sensitivity Analysis
A.R. Valdez, B.M. Rocha, J.M. F. Façanha, A. V. O. de Souza, A. Pérez‐Gramatges, G.i Chapiro, R. W. dos Santos
Transport in Porous Media, 2021. 

Analytical Solution for the Population-Balance Model Describing Foam Displacement
R.Q. Zavala, L.F. Lozano, P.L.J. Zitha, G. Chapiro
Transport in Porous Media, 1-17, 2021. 

 

 

 

FOSSIL – FOam diSplacement SImuLator 

By Filipe F. de Paula, Thiago Quinelato and Iury Igreja.
  • FOSSIL is our in-house developed simulator of the two-phase non-Newtonian flow of foam through heterogeneous porous media. Combining cutting-edge numerical methods with shared memory parallel computing, FOSSIL provides high-quality simulations of the flow of both compressible and incompressible fluids in a multitude of scenarios including gravity effects and preserving mass conservation. Its intuitive input format allows the user to choose between several mechanistic and population-balance based foam models, various relative permeability and capillary pressure relations, and flexible injection and control criteria.