Upscaling to General Quadrilateral Grids

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Abstract/Contents

Abstract
Flexible grid generation techniques can often lead to simulation grids that do not conform (i.e. overlay) to the underlying geological grid where fine scale properties are defined. This makes the problem of flow-based upscaling more complicated. In this work, a general upscaling technique is developed that can compute coarse quadrilateral grid tensors resulting from any fine scale geological grid. The method includes an extension of Durlofsky's periodic boundary condition upscaling technique to general quadrilateral grids. The numerical solution is accomplished using triangle-based finite element methods. Analytical solutions, available for rectangles and parallelograms, are reproduced exactly by this technique. Numerical results for general quadrilateral cells indicate that reasonable effective permeability estimates are obtained.

Description

Type of resource text
Date created May 2000

Creators/Contributors

Author He, Chuanping
Primary advisor Durlofsky, Louis J.
Primary advisor Edwards, Michael G.
Degree granting institution Stanford University, Department of Petroleum Engineering

Subjects

Subject School of Earth Energy & Environmental Sciences
Genre Thesis

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User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.

Preferred citation

Preferred Citation
He, Chuanping. (2000). Upscaling to General Quadrilateral Grids. Stanford Digital Repository. Available at: https://purl.stanford.edu/fm774hx8787

Collection

Master's Theses, Doerr School of Sustainability

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