Abstract

The embedded discrete fracture model (EDFM) has been popular for the modeling of fractured reservoirs due to its flexibility and efficiency while maintaining the complex geometry of fracture networks. Though the EDFM has been validated for single-phase flow simulations, some recent cases show that the EDFM might result in apparent errors in multiphase flow situations. The projection-based embedded discrete fracture model (pEDFM) and the integrally embedded discrete fracture model (IEDFM) are two recently developed methods, which intend to improve the accuracy of the EDFM. In this study, a projection-based integrally embedded discrete fracture model (pIEDFM) is proposed, which combines the advantages of the pEDFM and the IEDFM. Similar to the pEDFM, the pIEDFM uses a kind of additional connections between fracture and nonneighboring matrix cells to obtain more physically authentic velocity fields. As a significant improvement, a semi-analytical cone-shaped pressure distribution that follows the IEDFM is adopted in the pIEDFM to capture the sharp pressure change near the fracture surfaces. Comparisons with benchmark results and explicit-fracture fine grid simulation results show that the pIEDFM provides accurate solutions using a moderate amount of grids. The proposed pIEDFM is also applied to coupled flow and geomechanical simulation for fractured reservoirs. Comparison of our coupled simulation results with that of the EDFM shows that the pIEDFM is applicable for the coupled simulation, and the different methods for matrix-fracture transmissibility between the pIEDFM and the EDFM may lead to deviations in stress fields predicted by geomechanical modeling, which eventually affects the oil production, water cut, and oil saturation profiles.

Highlights

  • Numerical simulation approaches for fractured reservoirs have drawn great attention in past decades

  • Similar to the projection-based embedded discrete fracture model (pEDFM), additional matrix-fracture connections are added in the projection-based integrally embedded discrete fracture model (pIEDFM) between a fracture element and the nonneighboring matrix elements along the fracture projection directions. e transmissibilities of neighboring and nonneighboring matrix-fracture connections in the pIEDFM are derived semi-analytically using the methods in the integrally embedded discrete fracture model (IEDFM). e accuracy of the pIEDFM is validated by benchmark results and fine grid simulation results. e proposed pIEDFM is applied in coupled flow and geomechanical simulation for fractured reservoirs. e applicability of the proposed numerical method is examined

  • Applications of pIEDFM in Coupled Flow and Geomechanical Simulations e proposed pIEDFM is applied in coupled flow and geomechanical reservoir simulations. e simulation scenarios are repeated using the original embedded discrete fracture model (EDFM) for comparisons of the reservoir geomechanical behaviors predicted by the pIEDFM and the EDFM

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Summary

Introduction

Numerical simulation approaches for fractured reservoirs have drawn great attention in past decades. Erefore, the water flux along the fracture is overestimated, and the water flux across the fracture is underestimated [25] To solve this problem, a projection-based embedded discrete fracture model (pEDFM) is proposed by Tene and others. Rao et al [28] modified the original pEDFM and developed a micro-translation algorithm to help select projection-face combinations Another limitation of the EDFM is the oversimplified assumption for pressure distribution in the matrix domain adjacent to fracture. In the IEDFM, the transmissibilities of matrix-fracture connections are derived semi-analytically, which obtains the more realistic pressure distribution near the fracture surfaces and improves the accuracy of modeling flow in fractured reservoirs. A projection-based integrally embedded discrete fracture model (pIEDFM) is proposed in this study, which combines the advantages of the pEDFM and the IEDFM. Similar to the pEDFM, additional matrix-fracture connections are added in the pIEDFM between a fracture element and the nonneighboring matrix elements along the fracture projection directions. e transmissibilities of neighboring and nonneighboring matrix-fracture connections in the pIEDFM are derived semi-analytically using the methods in the IEDFM. e accuracy of the pIEDFM is validated by benchmark results and fine grid simulation results. e proposed pIEDFM is applied in coupled flow and geomechanical simulation for fractured reservoirs. e applicability of the proposed numerical method is examined

Governing Equations for Fractured Reservoir Simulation
Projection-Based Integrally Embedded Discrete Fracture Model
Modeling of Geomechanics
Validation of the pIEDFM
Conclusions
Full Text
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