NDLI: Upscaled modeling of well singularity for simulating flow in heterogeneous formations

Content Provider	Springer Nature Link
Author	Chen, Yuguang Wu, Xiao Hui
Copyright Year	2007
Abstract	Subsurface flows are affected by geological variability over a range of length scales. The modeling of well singularity in heterogeneous formations is important for simulating flow in aquifers and petroleum reservoirs. In this paper, two approaches in calculating the upscaled well index to capture the effects of fine scale heterogeneity in near-well regions are presented and applied. We first develop a flow-based near-well upscaling procedure for geometrically flexible grids. This approach entails solving local well-driven flows and requires the treatment of geometric effects due to the nonalignment between fine and coarse scale grids. An approximate coarse scale well model based on a well singularity analysis is also proposed. This model, referred to as near-well arithmetic averaging, uses only the fine scale permeabilities at well locations to compute the coarse scale well index; it does not require solving any flow problems. These two methods are systematically tested on three-dimensional models with a variety of permeability distributions. It is shown that both approaches provide considerable improvement over a simple (arithmetic) averaging approach to compute the coarse scale well index. The flow-based approach shows close agreement to the fine scale reference model, and the near-well arithmetic averaging also offers accuracy for an appropriate range of parameters. The interaction between global flow and near-well upscaling is also investigated through the use of global fine scale solutions in near-well scale-up calculations.
Starting Page	29
Ending Page	45
Page Count	17
File Format	PDF
ISSN	14200597
Journal	Computational Geosciences
Volume Number	12
Issue Number	1
e-ISSN	15731499
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-01-04
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Upscaling Permeability Heterogeneity Well model Well index Singularity Reservoir simulation Subsurface flow Soil Science & Conservation Hydrogeology Geotechnical Engineering Mathematical Modeling and Industrial Mathematics
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

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