On the efficiency of the IMPES method for two phase flow problems in porous media

Redondo, Carlos Díaz; Rubio, Gonzalo; Valero, Eusebio

doi:10.1016/j.petrol.2018.01.066

Cited by 13 publications

(5 citation statements)

References 21 publications

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“…FEM (Finite Element Method) is carried out by applying CFD software COMSOL Multiphysics to discretize the governing equations with free triangular mesh elements. For CHNSD coupling model, classical IMPES 28 approach is applied to figure out the solution of pressure and saturation written in PDE (Partial Differential Equation) module in the porous medium, while the coupling interface condition is realized by coding weak form.…”

Section: Model Verification and Comparison With Navier–stokes Methodsmentioning

confidence: 99%

A novel approach to simulate the resin infusion process by two phases coupling free and porous flows intra and inter fiber tows of liquid composite molding

Huang

Qin

et al. 2022

Journal of Composite Materials

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In this work, a coupling Cahn-Hilliard-Navier-Stokes-Darcy two-phase flow model is developed to simulate the resin infusion process intra and inter fiber tow. Navier–Stokes equation is applied in the free flow region while two phases Darcy’s law governs flow in the porous medium. The refined “BJS” (Beavers-Joseph-Saffman) condition is included as the coupling interface condition to solve the two phases and two mediums coupling problems. Flow flux, normal stress and velocity conversations are also taken into consideration as the interface conditions. Transient resin flow front tracking is carried out by adopting Cahn-Hilliard equation in the free flow region based on this novel coupling method and results are compared with quasi realistic model to verify the accuracy of this novel method.

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Section: Model Verification and Comparison With Navier–stokes Methodsmentioning

confidence: 99%

A novel approach to simulate the resin infusion process by two phases coupling free and porous flows intra and inter fiber tows of liquid composite molding

Huang

Qin

et al. 2022

Journal of Composite Materials

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“…As all inner product and matrix-vector product are performed using the CSR technique for all solvers, the OpenMP parallelization is basically the same for the three solvers adopted here, and null values of the transmissibility have no influence. We would like to point out that the use of OpenMP in reservoir simulation has grown in recent years (Wei et al 2015;Meister and Bader 2015;Redondo et al 2018).…”

Section: Openmpmentioning

confidence: 99%

“…The direct consequence is that the calculations become significantly slower and more computational resources (CPU and memory) are necessary. Currently, fast simulations using proprietary softwares are based on parallel computing using, for example, MPI (Message Passing Interface) (Grama et al 2003;Redondo et al 2018).…”

Section: Introductionmentioning

confidence: 99%

An OpenMP parallel implementation using a coprocessor for numerical simulation of oil reservoirs

et al. 2019

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The objective of this work is to parallelize, using the Application Programming Interface (API) OpenMP (Open Multi-Processing) and Intel Xeon Phi coprocessor based on Intel Many Integrated Core (MIC) architecture, the numerical method used to solve the algebraic system resulting from the discretization of the differential partial equation (PDE) that describes the single-phase flow in an oil reservoir. The set of governing equations are the continuity equation and the Darcy's law. The Hydraulic Diffusivity Equation (HDE), for the unknown pressure, is obtained from these fundamental equations and it is discretized by means of the Finite Difference Method (FDM) along with a time implicit formulation. Different numerical tests were performed to study the computational efficiency of the parallelized versions of Conjugate Gradient, BiConjugate Gradient and BiConjugate Gradient Stabilized methods. Speedup results were considered to evaluate the performance of the parallel algorithms for the horizontal well simulation case. The methodology also included a sensibility analysis for different production scenarios including variations on the permeability, formation-valuefactor, well length and production rate.

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“…We may choose certain variables to be considered explicitly or implicitly, independently of the choices in other regions, and this procedure may vary from one time-step to the next [22,72,80,37]. Redondo et al [68] recently discussed the efficiency of the IMPES method for two-phase problems considering high-performance computing applications.…”

Section: Introductionmentioning

confidence: 99%

A Picard-Newton approach for simulating two-phase flow in petroleum reservoirs

Freitas¹,

Souza²,

Souto³

2020

IJAERS

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In this work, we perform a comparative study of some of the most well-known approaches for solving the system of algebraic equations, obtained by discretizing the governing equations using the Finite Volume Method, for a three-dimensional two-phase (water-oil and water-gas) flow in an oil reservoir. We consider that the flow is isothermal, the fluids immiscible, and we take into account the compressibility of the fluid and the porous matrix. We also use a model of well-reservoir coupling for specified flow rates of injection and production. The solution strategies considered are the Fully Implicit Method, the IMPES Method, the Sequential Method, and a Picard-Newton Method, which represents the main contribution of this work. To illustrate the accuracy of the methods, we considered a two-phase flow in slab geometry, two-phase flow in a five-spot arrangement well, and gas production in a reservoir. For the cases simulated here, the Picard-Newton Method was able to correctly reproduce the flow physics with accuracy comparable to the other three methods.

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On the efficiency of the IMPES method for two phase flow problems in porous media

Cited by 13 publications

References 21 publications

A novel approach to simulate the resin infusion process by two phases coupling free and porous flows intra and inter fiber tows of liquid composite molding

A novel approach to simulate the resin infusion process by two phases coupling free and porous flows intra and inter fiber tows of liquid composite molding

An OpenMP parallel implementation using a coprocessor for numerical simulation of oil reservoirs

A Picard-Newton approach for simulating two-phase flow in petroleum reservoirs

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