Simulation of anisotropic heterogeneous near-well flow using MPFA methods on flexible grids

Mundal, S.S.; Keilegavlen, Eirik; Aavatsmark, Ivar

doi:10.1007/s10596-009-9167-5

Cited by 10 publications

(5 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, this comes at a computational cost. Methods for well modeling have been widely discussed in the literature [13,14,15,16,17,18,12]. A commonly used method is the Peaceman model [14,17,18].…”

Section: Colmated Layermentioning

confidence: 99%

Second-order accurate finite volume method for well-driven flows

Dotlić

Vidović

Pokorni

et al. 2016

Journal of Computational Physics

View full text Add to dashboard Cite

We consider a finite volume method for a well-driven fluid flow in a porous medium. Due to the singularity of the well, modeling in the near-well region with standard numerical schemes results in a completely wrong total well flux and an inaccurate hydraulic head. Local grid refinement can help, but it comes at computational cost. In this article we propose two methods to address the well singularity. In the first method the flux through well faces is corrected using a logarithmic function, in a way related to the Peaceman model. Coupling this correction with a non-linear second-order accurate two-point scheme gives a greatly improved total well flux, but the resulting scheme is still inconsistent. In the second method fluxes in the near-well region are corrected by representing the hydraulic head as a sum of a logarithmic and a linear function. This scheme is second-order accurate.

show abstract

Section: Colmated Layermentioning

confidence: 99%

Second-order accurate finite volume method for well-driven flows

Dotlić

Vidović

Pokorni

et al. 2016

Journal of Computational Physics

View full text Add to dashboard Cite

show abstract

“…Unstructured grids, noticeably Voronoi-or PEBI-grids (see, e.g., [10,12] and the references herein) allow for accurate modeling of both geology and well paths, and as such appear to be ideal for handling of the problem in question. As an example, Mundal, Keilegavlen, and Aavatsmark [11] studied near-well flow on generalized grids in two dimensions. The approach appears promising, but so far successful use of unstructured grids has been limited to two-dimensional and small 3-D (actually 2.5-D) models.…”

Section: Summary Of the Grid Sensitivity Testmentioning

confidence: 99%

Horizontal simulation grids as alternative to structure-based grids for thin oil-zone problems: a comparison study on a Troll segment

Pettersen¹

2011

Comput Geosci

View full text Add to dashboard Cite

The layering in reservoir simulation grids is often based on the geology, e.g., structure tops. In this paper we investigate the alternative of using horizontal layers, where the link to the geology model is by the representation of the petrophysics alone. The obvious drawback is the failure to honor the structure in the grid geometry. On the other hand, a horizontal grid will honor the initial fluid contacts perfectly, and horizontal wells can also be accurately represented. Both these issues are vital in thin oil-zone problems, where horizontal grids may hence be a viable alternative. To investigate this question, a number of equivalent simulation models were built for a segment of the Troll Field, both geology-based and horizontal, and various combinations of these. In the paper, it is demonstrated that the horizontal grid was able to capture the essentials of fluid flow with the same degree of accuracy as the geology-based grid, and near-well flow was considerably more accurate. For grids of comparable resolution, more reliable results were obtained by a horizontal grid than a geo-grid. A geo-grid with local grid refinement and a horizontal grid produced almost identical results, but the ratio of computing times was almost 20 in favor of the horizontal grid. In the one-phase regions of the reservoir, relatively coarse cells can be used without significant loss of accuracy.

show abstract

“…The multi-point flux approximation FVM and FEM can incorporate fulltensor anisotropy, and are applied on fully unstructured grids providing the highest level of geometric flexibility. The FVM methods have been applied to multi-scale problems in petroleum reservoir, atmospheric and oceanic modelling (Aavatsmark et al, 1996;Ding & Jeannin, 2001;Aavatsmark, 2002;Chen et al, 2003;Mundal et al, 2010;Neale et al, 2010), while the FEM is used in the FEFLOW groundwater modelling code (Diersch, 2002). Hiebert et al (1993) and Fung et al (1994) compare the discretization schemes described above (refined Cartesian, hybrid radial-Cartesian, refined CVFD, as well as a hybrid radial-CVFD scheme) for simulating near-well processes in regional petroleum reservoir models.…”

Section: Introductionmentioning

confidence: 99%

“…They show that a radial scheme provides the greatest accuracy and efficiency for simulating near-well processes, compared with the refined Cartesian or CVFD schemes and that, while the hybrid radial-CVFD grid provides greater flexibility and accuracy across the boundary than the hybrid radial-Cartesian grid, the results from these two schemes are comparable. Comparison of the two-point and multi-point flux approximation FVMs show that the multi-point scheme is less computationally efficient and only necessary for highly anisotropic simulations (Mundal et al, 2010).…”

Section: Introductionmentioning

confidence: 99%

An integrated modelling approach for assessing the effect of multiscale complexity on groundwater source yields

Upton

Jackson

Butler

et al. 2020

Journal of Hydrology

View full text Add to dashboard Cite

A new multi-scale groundwater modelling methodology is presented to simulate pumped water levels in abstraction boreholes within regional groundwater models, providing a robust tool for assessing the sustainable yield of supply boreholes and improving our understanding of groundwater availability during drought. A 3D borehole-scale model, which solves the Darcy-Forchheimer equation in cylindrical co-ordinates to simulate both linear and non-linear radial flow to a borehole in a heterogeneous aquifer, is embedded within a Cartesian grid, using a hybrid radial-Cartesian finite difference method. The local-scale model is coupled to a regional groundwater model, ZOOMQ3D, using the OpenMI model linkage software, providing a flexible and efficient tool for assessing the behaviour of a groundwater source within its regional hydrogeological context during historic droughts and under climate change. The advantages of the new method are demonstrated through application to a Chalk supply borehole in the UK.

show abstract

Simulation of anisotropic heterogeneous near-well flow using MPFA methods on flexible grids

Cited by 10 publications

References 33 publications

Second-order accurate finite volume method for well-driven flows

Second-order accurate finite volume method for well-driven flows

Horizontal simulation grids as alternative to structure-based grids for thin oil-zone problems: a comparison study on a Troll segment

An integrated modelling approach for assessing the effect of multiscale complexity on groundwater source yields

Contact Info

Product

Resources

About