A sequential approach for numerical simulation of two-phase multicomponent flow with reactive transport in porous media

Ahusborde, Etienne; Ossmani, Mustapha El

doi:10.1016/j.matcom.2016.11.007

Cited by 14 publications

(18 citation statements)

References 29 publications

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“…• DuMu X employs an SNIA with a dominant and minor component concept (Ahusborde and El Ossmani 2017;Hron et al 2015).…”

Section: Coupling Mmfandrtmentioning

confidence: 99%

“…Moreover, several critical phenomena can be reproduced only by high-resolution simulations. Over the last four decades, numerous approaches have been developed and tested with global implicit or sequential iterative numerical methods (Peszynska and Sun 2002;Nghiem et al 2004;Hao et al 2012;Fan et al 2012;Wei 2012;Wheeler et al 2012;Xu et al 2012;Nardi et al 2014;Steefel et al 2014;Hron et al 2015;Parkhurst and Wissmeier 2015;Ahusborde and El Ossmani 2017;Sin et al 2017a;Brunner and Knabner 2019). A range of multiphase multicomponent flow and transport solvers (e.g., White et al 2012;Xu et al 2014;Sin et al 2017a;Voskov 2017) and geochemical solvers (e.g., Appelo et al 2014;Corvisier et al 2014;Leal et al 2014) were recently developed to model CO 2 geological sequestration systems, among other applications.…”

Section: Introductionmentioning

confidence: 99%

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6. Multiphase Multicomponent Reactive Transport and Flow Modeling

Sin¹,

Corvisier²

2019

Reactive Transport in Natural and Engineered Systems

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This chapter is divided into three main parts: (1) governing processes in multiphase multicomponent flow and reactive transport (MMF&RT), (2) mathematical and numerical approaches of MMF&RT modeling, and (3) applications with respect to CO 2 storage. Thereafter, discussion of other applications that illustrate the ability of existing methods to represent general non-ideal multicomponent gaseous systems within a wide range of temperature and pressure conditions, in addition to their possible interactions with water/brine/rock, are presented. GOVERNING PROCESSES The governing processes and present issues of multiphase flow and geochemical modeling are introduced in this section. The definition of wettability is first presented, which is difficult for several systems; followed by the definitions of capillary pressure, residual and capillary trapping, and heterogeneity. In addition, the relative permeability is introduced, which is a characteristic property of multiphase flow. Recently, novel experimental and numerical technologies have provided further insight into different concepts such as residual nonwetting saturation, maximum relative permeability, governing forces, hysteresis, the impact of heterogeneity, and upscaling from pore-and core-scales. The different regimes of gas diffusion are then discussed in conjunction with corresponding modeling methods. Thereafter, basic formulations of multiphase flow are presented, from immiscible to compositional flows.

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“…• DuMu X employs an SNIA with a dominant and minor component concept (Ahusborde and El Ossmani 2017;Hron et al 2015).…”

Section: Coupling Mmfandrtmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

6. Multiphase Multicomponent Reactive Transport and Flow Modeling

Sin¹,

Corvisier²

2019

Reactive Transport in Natural and Engineered Systems

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“…in a two-or three-phase system. This model can also be applied to underground flow in several disciplines, such as groundwater hydrology [7][8][9], storage [10], environmental [9,11], and/or chemical engineering (involving chemical reactions between the rock and the fluids) [12,13].…”

Section: Previous Numerical Workmentioning

confidence: 99%

Numerical Modeling and Validation of a Novel 2D Compositional Flooding Simulator Using a Second-Order TVD Scheme

Druetta¹,

Picchioni²

2018

Energies

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The aim of this paper is to present the latter and develop a numerical simulator aimed at solving a 2D domain porous medium, using the compositional approach to simulate chemical flooding processes. The simulator consists in a two-phase, multicomponent system solved by the IMplicit in Pressure, Explicit in Concentration (IMPEC) approach, which can be operated under an iterative/non-iterative condition on each time-step. The discretization of the differential equations is done using a fully second order of accuracy, along with a Total Variation Diminishing (TVD) scheme with a flux limiter function. This allowed reducing the artificial diffusion and dispersion on the transport equation, improving the chemical species front tracking, decreasing the numerical influence on the recovery results. The new model was validated against both commercial and academic simulators and moreover, the robustness and stability were also tested, showing that the iterative IMPEC is fully stable, behaving as an implicit numerical scheme. The non-iterative IMPEC is conditionally stable, with a critical time-step above which numerical spurious oscillations begin to appear until the system numerically crashes. The results showed a good correspondence in different grid sizes, being largely affected by the time-step, with caused a decrease in the recovery efficiency in the iterative scheme, and the occurrence of numerical oscillations in the non-iterative one. Numerically speaking, the second-order scheme using a flux splitting TVD discretization proved to be a good approach for compositional reservoir simulation, decreasing the influence of numerical truncation errors on the results when compared to traditional, first-order linear schemes. Along with these studies, secondary recoveries in constant and random permeability fields are simulated before employing them in tertiary recovery processes.

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“…As in [56,57], we propose a sequential approach that splits the original problem into two sub-problems. The first sub-problem computes an implicit two-phase compositional flow where only species present in both phases are taken into account.…”

Section: Introductionmentioning

confidence: 99%

Improvement of numerical approximation of coupled multiphase multicomponent flow with reactive geochemical transport in porous media

Ahusborde

Amaziane

Ossmani

2018

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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In this paper, we consider a parallel finite volume algorithm for modeling complex processes in porous media that include multiphase flow and geochemical interactions. Coupled flow and reactive transport phenomena often occur in a wide range of subsurface systems such as hydrocarbon reservoir production, groundwater management, carbon dioxide sequestration, nuclear waste repository or geothermal energy production. This work aims to develop and implement a parallel code coupling approach for non-isothermal multiphase multicomponent flow and reactive transport simulation in the framework of the parallel open-source platform DuMuX. Modeling such problems leads to a highly nonlinear coupled system of degenerate partial differential equations to algebraic or ordinary differential equations requiring special numerical treatment. We propose a sequential fully implicit scheme solving firstly a multiphase compositional flow problem and then a Direct Substitution Approach (DSA) is used to solve the reactive transport problem. Both subsystems are discretized by a fully implicit cell-centred finite volume scheme and then an efficient sequential coupling has been implemented in DuMuX. We focus on the stability and robustness of the coupling process and the numerical benefits of the DSA approach. Parallelization is carried out using the DUNE parallel library package based on MPI providing high parallel efficiency and allowing simulations with several tens of millions of degrees of freedom to be carried out, ideal for large-scale field applications involving multicomponent chemistry. As we deal with complex codes, we have tested and demonstrated the correctness of the implemented software by benchmarking, including the MoMaS reactive transport benchmark, and comparison to existing simulations in the literature. The accuracy and effectiveness of the approach is demonstrated through 2D and 3D numerical simulations. Parallel scalability is investigated for 3D simulations with different grid resolutions. Numerical results for long-term fate of injected CO2 for geological storage are presented. The numerical results have demonstrated that this approach yields physically realistic flow fields in highly heterogeneous media and showed that this approach performs significantly better than the Sequential Iterative Approach (SIA).

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A sequential approach for numerical simulation of two-phase multicomponent flow with reactive transport in porous media

Cited by 14 publications

References 29 publications

6. Multiphase Multicomponent Reactive Transport and Flow Modeling

6. Multiphase Multicomponent Reactive Transport and Flow Modeling

Numerical Modeling and Validation of a Novel 2D Compositional Flooding Simulator Using a Second-Order TVD Scheme

Improvement of numerical approximation of coupled multiphase multicomponent flow with reactive geochemical transport in porous media

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