# On the use of the Virtual Element Method for geomechanics on reservoir grids

@inproceedings{Andersen2016OnTU, title={On the use of the Virtual Element Method for geomechanics on reservoir grids}, author={Odd Andersen and H. M. Nilsen and Xavier Raynaud}, year={2016} }

In this paper we study the use of Virtual Element method for geomechanics. Our emphasis is on applications to reservoir simulations. The physical processes that form the reservoirs, such as sedimentation, erosion and faulting, lead to complex geometrical structures. A minimal representation, with respect to the physical parameters of the system, then naturally leads to general polyhedral grids. Numerical methods which can directly handle this representation will be highly favorable, in…

## 12 Citations

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A wide numerical investigation is performed to assess the performances of the developed virtual elements, considering different number of edges describing the elements and different order of approximations of the unknown field.

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This work seeks to approximate the full geomechanics effect on flow without the need of coupling with a geomechamics solver during simulation by means of precomputed pressure response functions.

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- Computer Science, Mathematics
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It is proved exponential convergence of the energy error employing sequences of polygonal meshes geometrically refined is proved, thus extending the classical choices for the decomposition in the Finite Element framework to very general decomposition of the domain.

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