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Reactivation of Fractures in Subsurface Reservoirs—A Numerical Approach Using a Static-Dynamic Friction Model

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Numerical Mathematics and Advanced Applications ENUMATH 2017 (ENUMATH 2017)

Abstract

Fluid-induced slip of fractures is characterized by strong multiphysics couplings. Three physical processes are considered: Flow, rock deformation and fracture deformation. The fractures are represented as lower-dimensional objects embedded in a three-dimensional domain. Fluid is modeled as slightly compressible, and flow in both fractures and matrix is accounted for. The deformation of rock is inherently different from the deformation of fractures; thus, two different models are needed to describe the mechanical deformation of the rock. The medium surrounding the fractures is modeled as a linear elastic material, while the slip of fractures is modeled as a contact problem, governed by a static-dynamic friction model. We present an iterative scheme for solving the non-linear set of equations that arise from the models, and suggest how the step parameter in this scheme should depend on the shear modulus and mesh size.

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Acknowledgements

This work was partially funded by the Research Council of Norway, TheMSES project, grant no. 250223, and travel support funded by Statoil, through the Akademia agreement.

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Correspondence to Runar L. Berge .

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Berge, R.L., Berre, I., Keilegavlen, E. (2019). Reactivation of Fractures in Subsurface Reservoirs—A Numerical Approach Using a Static-Dynamic Friction Model. In: Radu, F., Kumar, K., Berre, I., Nordbotten, J., Pop, I. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2017. ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-319-96415-7_60

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