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  Multiscale Basis functions

  
  Examples of basis functions on a fine grid for homogeneous and heterogeneous elements.
  

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  Example of grid coarsening

  
  This is an example of unstructured grid coarsening using multigrid agglomeration algorithm.
  

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MAY 6-7

JUL 16-20

OCT 10-11

Research Summary

Accurate predictions of the complex interactions between fluid flow and mechanical deformation in fractured geologic formations is of interest in a wide range of reservoir engineering applications including subsurface CO2 sequestration, heavy-oil recovery, wellbore stability, highly-stress sensitive reservoirs like hydrate or shale-gas formations. These two processes, having different physical nature, are strongly coupled.

My current research interests are related to the developing of an efficient simulation methodology for coupled fluid flow and geomechanical deformation of fractured porous media with an explicit treatment of fractures. From the one hand, this cannot be accomplished without a better understanding of physical processes involving mechanical deformation and effects of fracture deformation on a fluid flow. On the other hand, explicit and more accurate treatment of fractures requires more computational resources. This leads to a necessity of developing multiscale or upscale methods for a coupled problem in order to increase the computational efficiency.

The approaches we are using are original in a sense that they allow to uncouple flow and mechanical problems in a presence of fractures since both fluid flow and mechanical deformation are solved using different numerical approximations but on the same conforming grid.

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