A 3D compositional miscible gas flooding simulator with dispersion using Element-based Finite-Volume method

Santos, Luiz Otávio Schmall dos; Marcondes, Francisco; Sepehrnoori, Kamy

doi:10.1016/j.petrol.2013.10.004

Cited by 14 publications

(13 citation statements)

References 27 publications

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“…In this work, the EbFVM described by Marcondes and Sepehrnoori (2010), Marcondes et al (2013), and Santos et al (2013) was used to solve the 2D and 3D unstructured reservoirs, respectively. In the EbFVM approach we borrow from the finite-element method the idea of elements and shape functions.…”

Section: Numerical Approachmentioning

confidence: 99%

“…The discretized equations are then linearized through a Newton method and solved together with the molar balance equations. Further details of the numerical approach employed in this paper can be found in Marcondes and Sepehrnoori (2010), Marcondes et al (2013), and Santos et al (2013).…”

Section: N S T S T N S T S T N S T S T N S T S Tmentioning

confidence: 99%

“…Unstructured PEBI grids have been applied to the solution of a thermal recovery process (Liu et al, 2009;Shi et al, 2009). EbFVM (Element based finite volume method) has been applied to the solution of compositional and isothermal problems by Marcondes and Sepehrnoori (2007), Marcondes et al (2013), and Santos et al (2013). This approach is similar to the CVFEM (Control Volume Finite Element Method) approach by Forsyth (1990) and Fung et al (1991), except that the approximated equations are derived from multiphase fluid flow instead of single phase flow.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Eos-Based Numerical Simulation of Thermal Recovery Process Using Unstructured Meshes

Marcondes

Varavei

Sepehrnoori

2015

Braz. J. Chem. Eng.

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-In the past thirty years, the development of compositional reservoir simulators using an equation of state (EOS) has been addressed in the literature. However, the development of compositional thermal simulators in conjunction with the EOS formulation, in particular, has not been addressed extensively. In this work, a fully implicit, thermal, compositional EOS-based simulator in conjunction with unstructured meshes has been developed. In this model, an equation of state is used for equilibrium calculations among phases. Also, the physical properties are calculated based on an EOS, hence obviating the need for using steam tables for calculation of water/steam properties. The governing equations for the model comprise fugacity equations, material balance, pore volume constraint and energy equation. The governing partial differential equations are solved using the EbFVM (Element based Finite Volume Method). Results for several case studies consisting of 2D and 3D reservoirs are presented in order to demonstrate the applicability of the method.

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Section: Numerical Approachmentioning

confidence: 99%

Section: N S T S T N S T S T N S T S T N S T S Tmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An Eos-Based Numerical Simulation of Thermal Recovery Process Using Unstructured Meshes

Marcondes

Varavei

Sepehrnoori

2015

Braz. J. Chem. Eng.

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“…Marcondes and Sepehrnoori (2010) and Marcondes et al (2013) applied the EbFVM to 2D and 3D isothermal, compositional problems using a fully implicit approach. Santos et al (2013) applied the EbFVM to the solution of 3D compositional miscible gas flooding with dispersion, once again associated with the fully implicit approach. These works demonstrated that more accurate solutions can be obtained with the EbFVM compared to Cartesian grids.…”

Section: Introductionmentioning

confidence: 99%

3d Compositional Reservoir Simulation in Conjunction With Unstructured Grids

Araújo

Fernandes

Filho

et al. 2016

Braz. J. Chem. Eng.

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-In the last decade, unstructured grids have been a very important step in the development of petroleum reservoir simulators. In fact, the so-called third generation simulators are based on Perpendicular Bisection (PEBI) unstructured grids. Nevertheless, the use of PEBI grids is not very general when full anisotropic reservoirs are modeled. Another possibility is the use of the Element based Finite Volume Method (EbFVM). This approach has been tested for several reservoir types and in principle has no limitation in application. In this paper, we implement this approach in an in-house simulator called UTCOMP using four element types: hexahedron, tetrahedron, prism, and pyramid. UTCOMP is a compositional, multiphase/multicomponent simulator based on an Implicit Pressure Explicit Composition (IMPEC) approach designed to handle several hydrocarbon recovery processes. All properties, except permeability and porosity, are evaluated in each grid vertex. In this work, four case studies were selected to evaluate the implementation, two of them involving irregular geometries. Results are shown in terms of oil and gas rates and saturated gas field.

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“…Their results were limited to two-dimensional domains. Later, they developed their method for simulation of gas flooding in three dimensions (dos Santos et al 2013). Geiger et al (2004) discussed a CVFE method for simulation of flow in heterogeneous porous media.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic Mesh Adaptivity and Control Volume Finite Element Methods for Numerical Simulation of Multiphase Flow in Porous Media

et al. 2015

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Numerical simulation of multiphase flow in porous media is of great importance in a wide range of applications in science and engineering. The governing equations are the continuity equation and Darcy's law. A novel control volume finite element (CVFE) approach is developed to discretize the governing equations in which a nodecentered control volume approach is applied for the saturation equation, while a CVFE method is used for discretization of the pressure equation. We embed the discrete continuity equation into the pressure equation and ensure that the continuity equation is exactly enforced. Furthermore, the scheme is equipped with dynamic anisotropic mesh adaptivity which uses a metric tensor field approach, based on the curvature of fields of interest, to control the size and shape of elements in the metric space. This improves the resolution of the mesh in the zones of dynamic interest. Moreover, the mesh adaptivity algorithm employs multi-constraints on element size in different regions of the porous medium to resolve multi-scale transport phenomena. The advantages of mesh adaptivity and the capability of the scheme are demonstrated for simulation of flow in several challenging computational domains. The scheme captures the key features of flow while preserving the initial geometry and can be applied for efficient simulation of flow in heterogeneous porous media and geological formations.

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A 3D compositional miscible gas flooding simulator with dispersion using Element-based Finite-Volume method

Cited by 14 publications

References 27 publications

An Eos-Based Numerical Simulation of Thermal Recovery Process Using Unstructured Meshes

An Eos-Based Numerical Simulation of Thermal Recovery Process Using Unstructured Meshes

3d Compositional Reservoir Simulation in Conjunction With Unstructured Grids

Anisotropic Mesh Adaptivity and Control Volume Finite Element Methods for Numerical Simulation of Multiphase Flow in Porous Media

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