A new approach for accounting of hydraulic fracture in simulation models based on unstructured grids
https://doi.org/10.24887/2587-7399-2018-2-47-51
Abstract
The article presents a mathematical model of the inflow to the fracture on PEBI grids. In the proposed approach, the fracture is represented as a set of faces, where each face has its own properties (permeability, width, cross-sectional area). A well corresponds to a node from which a fracture or several fractures emanate at specified angles. The boundary condition at the node is a constant pressure or a constant flow of liquid. Flows from the cells to the faces correspond to flows from the matrix to the fracture, additional flows are recorded in the fracture itself through the faces to the well, taking into account its conductivity.
About the Authors
A. P. Roshchektaev
Gazpromneft NTC LLC
Russian Federation
Russian Federation
Saint-Petersburg
A. V. Yakasov
Gazpromneft NTC LLC
Russian Federation
Russian Federation
Saint-Petersburg
References
1. Brezzi F., Fortin M., Mixed and hybrid finite element methods, New York: Springer-Verlag, 1991. 362 p.
2. Brezzi F., Lipnikov K., Simoncini V., A family of mimetic finite difference methods on polygonial and polyhedral meshes, Math. Models Methods Appl. Sci., 2005, V. 15, pp. 1533-1553.
3. Samarskiy A.A., Koldoba A.V., Poveshchenko YU.A. et al., Raznostnyye skhemy na neregulyarnykh setkakh (Difference schemes on irregular grids), Minsk: Kriteriy Publ., 1996.
4. Natvig J.R., Skaflestad B., Multiscale mimetic solvers for efficient streamline simulation of fractures reservoirs, SPE 119132-MS, 2009.
Review
For citations:
Roshchektaev A.P., Yakasov A.V. A new approach for accounting of hydraulic fracture in simulation models based on unstructured grids. PROneft. Professionally about Oil. 2018;(2):47-51. (In Russ.) https://doi.org/10.24887/2587-7399-2018-2-47-51
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