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EPSRC Reference:
GR/S70968/01
Title:
Higher Resolution Wave-Oriented Upwind Schemes for Conservation Laws with Emphasis on Flow in Porous Media
Principal Investigator:
Edwards, Professor MG
Other Investigators:
Weatherill, Professor N
Morgan, Professor K
Researcher Co-Investigators:
Project Partners:
Department:
Civil Engineering
Organisation:
Swansea University
Scheme:
Standard Research (Pre-FEC)
Starts:
08 November 2004
Ends:
07 April 2008
Value (£):
221,866
EPSRC Research Topic Classifications:
Oil & Gas Extraction
EPSRC Industrial Sector Classifications:
Energy
Related Grants:
Panel History:
Panel Date
Panel Name
Outcome
11 Sep 2003
Engineering Prioritisation Panel (C) 11/09/03
Deferred
Summary on Grant Application Form
Development of both higher-dimensional and higher-order methods for reservoir simulation on general unstructured grids is proposed. Currently standard first order single-point upstream weighting methods are employed in reservoir simulation for integrating the essentially hyperbolic system components. These methods introduce both coordinate-line numerical diffusion (even in 1-D) and cross-wind diffusion into the solution that is grid and geometry dependent. These effects are particularly important when steep fronts and shocks are present and for cases where flow is across grid coordinate lines. Rather than upwind along coordinate lines, new higher-dimensional schemes are proposed that upwind in the direction of the wave paths in order to minimise crosswind diffusion. Higher-order schemes are also proposed for multiphase-flow reservoir systems in 2-D and 3-D on general unstructured grids. The dual development will lead to new schemes for unstructured grid reservoir simulation that provide sharp reliable estimates of key oil recovery parameters by minimising crosswind and directional diffusion effects. The new schemes will be tested across a spectrum of typical flow regimes, for a range of mobility ratios, gravity numbers, heterogeneous permeability tensors and grid types.
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Project URL:
Further Information:
Organisation Website:
http://www.swan.ac.uk