Comparison between cell-centered and nodal-based discretization schemes for linear elasticity

Nilsen, Halvor Møll; Nordbotten, Jan Martin; Raynaud, Xavier

doi:10.1007/s10596-017-9687-3

Cited by 26 publications

(4 citation statements)

References 25 publications

(82 reference statements)

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“…The Blue marked regions indicate areas of 100% oil saturation; hence, we placed our production wells at the region, while the yellow region is that of 100% water saturation, at an initial state [15].…”

Section: Results and Findingsmentioning

confidence: 99%

Development of 3D flow diagnostic numerical simulator and rock property modelling for a homogeneous faulted reservoir

Muhammed Gwio,

Ayuba,

Aminua

2024

Afr. Sci. Rep.

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Research has shown that faults, especially sealing faults, have become a barrier to flow. Flow diagnostics, on the other hand, are straightforward and controlled numerical flow experiments that are performed to examine a reservoir model, build links and offer rudimentary volume estimates as well as to quickly produce a qualitative representation of the reservoir’s flow patterns. To evaluate, assess, and validate reservoir models and production scenarios, the ’diagnostics’ module in the Matlab Reservoir Simulation Toolbox (MRST) provides a computationally less expensive alternative to running fully featured multiphase simulations. This is done to determine qualitatively regions for well placement to maximize hydrocarbon recovery. Monitoring flow fields, timelines, and tracers—neutral particles in the fluid that flow with the fluid—are all part of flow diagnostics. These techniques are used to determine volumetric communication between a pair of injector-producer wells, as well as flow patterns between injection-production wells and the arrival time between them. To create the grid, the simulation schedule, the wells, upscaling, arrival time computation, and flow diagnostics (drainage and sweep regions) were all done using the Matlab reservoir simulation toolbox (MRST) package by “Makemodel 3” on the data obtained from “SPE 10th comparative solution project” on the MRST package. This was done for a homogeneous anisotropic faulted porous medium. The simulation runs for about 473,739 milliseconds on a fine grid having 20040 active cells while in the coarse model with faster computational time of about 200 seconds, 112 milliseconds. At the early stages of the reservoir bottom-hole pressure for injector I1(about 7000psia) and three producers P1, P2 and P3 remains constant over time (about 3600psia) thanks to pressure support by I1. The extent of residence time after 10 years for the fine, coarse and more coarser model is that fluid element find it easier to transverse through the fault line from I1 to P1, P2 then P3 which takes lesser time than crossing across two intersecting faults, It can also be seen that the sweep efficiency of the fine grid is more effective than the coarse grid. Finally, it has been seen clearly that the fine grid model gives more accurate details but slower computational time while the coarse model which is less accurate but with faster computational time.

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Section: Results and Findingsmentioning

confidence: 99%

Development of 3D flow diagnostic numerical simulator and rock property modelling for a homogeneous faulted reservoir

Muhammed Gwio,

Ayuba,

Aminua

2024

Afr. Sci. Rep.

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“…In addition to the analysis summarized above, it is worth noting that the convergence properties of the MPFA and MPSA methods have been extensively studied numerically. These numerical investigations also consider problems not covered by analysis, due to either challenging coefficients [46], nonlinearities [30], or grids [47]. We will review some of these results here, emphasizing the results that give a most comprehensive understanding of the general features of the MPxA methods.…”

Section: Numerical Investigations Of Convergencementioning

confidence: 99%

“…Contrasting the previous two studies, Nilsen et al emphasized degeneracies of the grid (as opposed to regularity-preserving refinements) [47]. To this end, they considered a series of cases with polyhedral grids, grids of high aspect ratio, and unusual refinement strategies.…”

Section: Robustness On Degenerate Gridsmentioning

confidence: 99%

An Introduction to Multi-point Flux (MPFA) and Stress (MPSA) Finite Volume Methods for Thermo-poroelasticity

Nordbotten

Keilegavlen

2021

SEMA SIMAI Springer Series

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We give a unified introduction to the MPFA-and MPSA-type finite volume methods for Darcy flow and poro-elasticity, applicable to general polyhedral grids. This leads to a more systematic perspective of these methods than has been exposed in previous texts, and we therefore refer to this discretization family as the MPxA methods. We apply this MPxA framework to also define a consistent finite-volume discretization of thermo-poro-elasticity. In order to make the exposition accessible to a wide audience, we avoid much of the technical notation which is used in the research literature, and compensate for this by an expanded summary and literature review of the main properties of the MPxA methods. We close the chapter by a section containing applications to problems with complex geometries and nonlinear physics.

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“…Therefore, the mixed solution method (FVM + FEM) is generally used to solve the fluid and mechanical coupling problems in subsurface porous media [12]. Now, the FVM has been extended to the field of solid mechanics and achieved great success [13][14][15][16]. Suliman et al [17] proposed an enhanced FVM for the purpose of modeling linear elastic structures undergoing bending.…”

Section: Introductionmentioning

confidence: 99%

A comparative study on simulating flow-induced fracture deformation in subsurface media by means of extended FEM and FVM

Han

Yang

et al. 2020

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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Accurate and efficient simulation on the fluid flow and deformation in porous media is of increasing importance in a diverse range of engineering fields. At present, there are only several methods can be used to simulate the deformation of fractured porous media. It is very important to know their application scopes, advantages, and disadvantages for solving the practical problems correctly. Therefore, in this paper, we compared two numerical simulation methods for flow-induced fracture deformation in porous media. One is the Extended Finite Element Method (XFEM), which is based on the classical finite element method and can simulate strong or weak discontinuous problems. The other is developed within the finite-volume framework, termed Extended Finite Volume Method (XFVM). We designed three test cases, including single fracture, cross fractures and eight discrete fractures, to investigate the accuracy and efficiency of XFEM and XFVM. The reference solutions were provided by the commercial software, COMSOL, where the standard finite element method is implemented. The research findings showed that the accuracy of the XFEM was slightly higher than that of the XFVM, but the latter was more efficient. These results are likely to be useful in decision making regarding choice of solving methods for the multi-field coupling problem in fractured porous media.

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Comparison between cell-centered and nodal-based discretization schemes for linear elasticity

Cited by 26 publications

References 25 publications

Development of 3D flow diagnostic numerical simulator and rock property modelling for a homogeneous faulted reservoir

Development of 3D flow diagnostic numerical simulator and rock property modelling for a homogeneous faulted reservoir

An Introduction to Multi-point Flux (MPFA) and Stress (MPSA) Finite Volume Methods for Thermo-poroelasticity

A comparative study on simulating flow-induced fracture deformation in subsurface media by means of extended FEM and FVM

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