Numerical simulation of oil-water displacements in naturally fractured reservoirs using a hybrid grid MPFA-streamline (SLS-HyG) formulation

Teixeira, J.C.; Carvalho, Darlan Karlo Elisiário de; Cavalcante, Túlio de Moura; Angelim, K.C.L.; Lyra, Paulo Roberto Maciel

doi:10.1016/j.compgeo.2022.104963

Computers and Geotechnics

2022

DOI: 10.1016/j.compgeo.2022.104963

|View full text |Cite

Numerical simulation of oil-water displacements in naturally fractured reservoirs using a hybrid grid MPFA-streamline (SLS-HyG) formulation

J.C. Teixeira¹,

Darlan Karlo Elisiário de Carvalho²,

Túlio de Moura Cavalcante³

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

A Hybrid Method Combining Mimetic Finite Difference and Discontinuous Galerkin for Two‐Phase Reservoir Flow Problems

Rao,

He,

Kwak

et al. 2024

Numerical Methods in Fluids

View full text Add to dashboard Cite

We introduce a new hybrid numerical approach that integrates the Mimetic Finite Difference (MFD) and Discontinuous Galerkin (DG) methods, termed the MFD‐DG method. This technique leverages the MFD method to adeptly manage arbitrary quadrilateral meshes and full permeability tensors, addressing the flow equation for both edge‐center and cell‐center pressures. It also provides an approximation for phase fluxes across interfaces and within cells. Subsequently, the DG scheme, equipped with a slope limiter, is applied to the convection‐dominated transport equation to compute nodal and cell‐average water saturations. We present two numerical examples that demonstrate the MFD's capability to deliver high‐precision approximations of pressure and flux distributions across a broad spectrum of grid types. Furthermore, our proposed hybrid MFD‐DG method demonstrates a significantly enhanced ability to capture sharp water flooding fronts with greater accuracy compared to the traditional Finite Difference (FD) Method. To further demonstrate the efficacy of our approach, four numerical examples are provided to illustrate the MFD‐DG method's superiority over the classical Finite Volume (FV) method and MFDM, particularly in scenarios characterized by anisotropic permeability tensors and intricate geometries.

show abstract

A Hybrid Method Combining Mimetic Finite Difference and Discontinuous Galerkin for Two‐Phase Reservoir Flow Problems

Rao,

He,

Kwak

et al. 2024

Numerical Methods in Fluids

View full text Add to dashboard Cite

show abstract

Hybrid Mimetic Finite Difference and Streamline Methods for Numerical Simulation of Two-phase Flow in Fractured Reservoirs

Rao,

Guo,

et al. 2024

Computers and Geotechnics

View full text Add to dashboard Cite

A novel streamline simulation method for fractured reservoirs with full-tensor permeability

Rao,

He,

Kwak

et al. 2024

Physics of Fluids

View full text Add to dashboard Cite

In this work, we develop a novel streamline (SL) simulation method that integrates seamlessly within the embedded discrete fracture model (EDFM). The novel SL-based method is developed based on a hybrid of two-point flux approximation (TPFA) and mimetic finite difference (MFD) methods, which is applicable to a two-phase anisotropic flow in fractured reservoirs. We refer to this novel approach as EDFM-TPFA-MFD-SL. The approach is operated in an IMplicit Pressure Explicit Saturation (IMPES) manner. First, this work establishes a novel EDFM utilizing a hybrid TPFA-MFD scheme to solve the pressure equation for phase flux approximation. Subsequently, we introduce a practical streamline tracing workflow designed to derive the distribution of streamlines within the reservoir domain and the time-of-flight distribution along each individual streamline. This feature allows for the parallel computation of water saturation along the streamlines. Two numerical examples are presented to validate the superiority of the proposed EDFM-TPFA-MFD-SL method compared to the existing streamline-based EDFM on cases with full-tensor permeability. The results show that the proposed method could significantly mitigate the numerical dissipation and reduce the computation costs. Another numerical example demonstrates the effectiveness of the proposed method in dealing with complex fracture networks and providing rapid flow diagnostics, indicating its significant potential for real-world field applications.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Numerical simulation of oil-water displacements in naturally fractured reservoirs using a hybrid grid MPFA-streamline (SLS-HyG) formulation

Cited by 3 publications

References 40 publications

A Hybrid Method Combining Mimetic Finite Difference and Discontinuous Galerkin for Two‐Phase Reservoir Flow Problems

A Hybrid Method Combining Mimetic Finite Difference and Discontinuous Galerkin for Two‐Phase Reservoir Flow Problems

Hybrid Mimetic Finite Difference and Streamline Methods for Numerical Simulation of Two-phase Flow in Fractured Reservoirs

A novel streamline simulation method for fractured reservoirs with full-tensor permeability

Contact Info

Product

Resources

About