A finite volume scheme with improved well modeling in subsurface flow simulation

Kramarenko, Vasily K.; Nikitin, Kirill D.; Vassilevski, Yuri

doi:10.1007/s10596-017-9685-5

Cited by 5 publications

(5 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The current development and implementation of UFVM are planned to be extended to chemical transport and thermal recovery applications. Also, more elaborate models can be included for unconventional wells [92] and elements of any geometries [93] in the source/sink term discrete equations.…”

Section: Discussionmentioning

confidence: 99%

Semi-Implicit Finite Volume Procedure for Compositional Subsurface Flow Simulation in Highly Anisotropic Porous Media

Echavarría-Montaña

Velásquez

Bueno

et al. 2021

Fluids

View full text Add to dashboard Cite

Subsurface multiphase flow in porous media simulation is extensively used in many disciplines. Large meshes with non-orthogonalities (e.g., corner point geometries) and full tensor highly anisotropy ratios are usually required for subsurface flow applications. Nonetheless, simulations using two-point flux approximations (TPFA) fail to accurately calculate fluxes in these types of meshes. Several simulators account for non-orthogonal meshes, but their discretization method is usually non-conservative. In this work, we propose a semi-implicit procedure for general compositional flow simulation in highly anisotropic porous media as an extension of TPFA. This procedure accounts for non-orthogonalities by adding corrections to residual in the Newton-Raphson method. Our semi-implicit formulation poses the guideline for FlowTraM (Flow and Transport Modeller ) implementation for research and industry subsurface purposes. We validated FlowTraM with a non-orthogonal variation of the Third SPE Comparative Solution Project case. Our model is used to successfully simulating a real Colombian oil field.

show abstract

Section: Discussionmentioning

confidence: 99%

Semi-Implicit Finite Volume Procedure for Compositional Subsurface Flow Simulation in Highly Anisotropic Porous Media

Echavarría-Montaña

Velásquez

Bueno

et al. 2021

Fluids

View full text Add to dashboard Cite

show abstract

“…В заключение данного пункта рассмотрим вопрос о решении на каждом шаге по времени системы (17), (18), которая в векторно-матричной форме представима в виде:…”

Section: численные результатыunclassified

“…Чуть позже аналогичный подход был предложен Д. Писмэном [22,23] и затем развит многими авторами (см., например, [8,9,28,16]). Из недавних работ данного направления отметим [4,18]. Отсутствие необходимости сгущать сетку делает соответствующие вычислительные алгоритмы значительно более экономичными.…”

Section: Introductionunclassified

On wells modeling in filtration problems

Ivanov¹,

Kremer²,

Laevsky³

2019

Sib. Elektron. Mat. Izv.

View full text Add to dashboard Cite

The work is devoted to one of the approaches of wells modeling within numerical oil reservoir simulation. The approach can be consider as fictitious domain method at mixed finite element approximation, which is used for non-stationary filtration processes of two phase fluid in Bukley-Leverett problem. The numerical results are compared with the results for the problem with usual Neumann conditions at the wells boundaries.

show abstract

“…Approximations (9) and (10) are in form (5) but are not equal. Thus, using (9) for flux approximation in cell T + and (10) for flux approximation in cell T − would result in losing a local conservation.…”

Section: Discretizationmentioning

confidence: 99%

“…to split flux in the well vicinity into a linear part and a part that is due to the influence of the well. The NWC scheme is further generalized in [9,10] for polyhedral grids and arbitrary wells. This correction changes only the approximation of one-sided linear fluxes, but use the same logic for their combining as the non-linear multi-point scheme.…”

Section: Introductionmentioning

confidence: 99%

Non-linear multi-point flux approximation in the near-well region

Dotlić¹,

Pokorni²,

Pušić³

et al. 2018

Filomat

View full text Add to dashboard Cite

We consider non-linear multi-point flux approximations (MPFA) scheme for flow simulations in a model of anisotropic porous medium that includes wells. The hydraulic head varies logarithmically and its gradient changes rapidly in the well vicinity. Due to this strong non-linearity of the near-well flow, use of the MPFA scheme in the near well region results in a completely wrong total well flux and an inaccurate hydraulic head distribution. In this article we propose correction of the MPFA scheme. The outcome is a scheme that is second-order accurate even in the well vicinity for anisotropic medium. Solution obtained with this scheme respects minimum and maximum principle, and also, it is non-oscillating.

show abstract

A finite volume scheme with improved well modeling in subsurface flow simulation

Cited by 5 publications

References 19 publications

Semi-Implicit Finite Volume Procedure for Compositional Subsurface Flow Simulation in Highly Anisotropic Porous Media

Semi-Implicit Finite Volume Procedure for Compositional Subsurface Flow Simulation in Highly Anisotropic Porous Media

On wells modeling in filtration problems

Non-linear multi-point flux approximation in the near-well region

Contact Info

Product

Resources

About