Several soil decontamination processes and enhanced oil recovery techniques involve the co-existence of three immiscible fluids, such as water, a nonaqueous phase liquid and a gas. In this work, a computational framework based on the individual mass balance of each phase is developed, aimed at simulating three-phase flow in a deformable rock through the finite element method, without resorting to specific simplifications that are usually required by standard numerical schemes. Key ingredients of the model are: expression of the residual in terms of mass contents, consistent lumping of the storage terms in the residual and algorithmic (tangent) matrix, consistent integration rules, the use of a minimum relative permeability and a time marching scheme based on trapezoidal integration. Special convective boundary conditions are adopted for pressures to be consistent with the assumed rock wettability properties during co-current imbibition. The resulting numerical scheme can deal with arbitrary saturation and/or pressure boundary conditions. The model is tested by simulating gas injection tests, and both co- and counter-current water imbibition tests, in a deformable core. To assess the performance and robustness of the whole framework, sensitivity analyses are performed upon varying key constitutive, loading and numerical parameters.

A computational framework for immiscible three-phase flow in deformable porous media / A. Gajo, F. Cecinato, B. Loret. - In: JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING. - ISSN 0920-4105. - 165(2018 Jun), pp. 516-534. [10.1016/j.petrol.2018.01.026]

A computational framework for immiscible three-phase flow in deformable porous media

F. Cecinato
Secondo
;
2018-06

Abstract

Several soil decontamination processes and enhanced oil recovery techniques involve the co-existence of three immiscible fluids, such as water, a nonaqueous phase liquid and a gas. In this work, a computational framework based on the individual mass balance of each phase is developed, aimed at simulating three-phase flow in a deformable rock through the finite element method, without resorting to specific simplifications that are usually required by standard numerical schemes. Key ingredients of the model are: expression of the residual in terms of mass contents, consistent lumping of the storage terms in the residual and algorithmic (tangent) matrix, consistent integration rules, the use of a minimum relative permeability and a time marching scheme based on trapezoidal integration. Special convective boundary conditions are adopted for pressures to be consistent with the assumed rock wettability properties during co-current imbibition. The resulting numerical scheme can deal with arbitrary saturation and/or pressure boundary conditions. The model is tested by simulating gas injection tests, and both co- and counter-current water imbibition tests, in a deformable core. To assess the performance and robustness of the whole framework, sensitivity analyses are performed upon varying key constitutive, loading and numerical parameters.
capillary pressures; finite element; gas injection; imbibition; immiscible fluids; relative permeabilities; time marching scheme; fuel technology; geotechnical engineering and engineering geology
Settore ICAR/07 - Geotecnica
Settore ING-IND/30 - Idrocarburi e Fluidi del Sottosuolo
Article (author)
File in questo prodotto:
File Dimensione Formato  
JPSE_post_print.pdf

accesso aperto

Tipologia: Pre-print (manoscritto inviato all'editore)
Dimensione 3.03 MB
Formato Adobe PDF
3.03 MB Adobe PDF Visualizza/Apri
1-s2.0-S0920410518300299-main.pdf

accesso riservato

Tipologia: Publisher's version/PDF
Dimensione 2.22 MB
Formato Adobe PDF
2.22 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/616348
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 2
social impact