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Finite volume hydromechanical simulation in porous media
1Department of Mathematics, University of Bergen Bergen, Norway ; Department of Civil and Environmental Engineering, Princeton University New Jersey, USA.
Water Resources Research
|January 10, 2015
Summary
A new cell-centered finite volume method for elasticity enables compatible discretization for coupled hydromechanic flows in porous media, handling fractures and heterogeneity effectively.
Area of Science:
- Geosciences
- Computational Mechanics
- Fluid Dynamics
Background:
- Cell-centered finite volume methods are standard for porous media flow simulation.
- Coupled flow and deformation often use mixed finite-volume-finite element or finite element methods, which have drawbacks.
Purpose of the Study:
- To adapt a novel cell-centered finite volume method for elasticity to coupled hydromechanic flows.
- To provide a compatible finite volume discretization for porous media.
- To address challenges in modeling fractured and fracturing media.
Main Methods:
- Development and application of a cell-centered finite volume method for elasticity.
- Investigation of coupling terms in hydromechanic simulations.
- Implementation of internal boundary conditions for fractured media.
Main Results:
- The cell-centered finite volume method naturally handles coupling terms in hydromechanic flows.
- The framework effectively models fractured and fracturing porous media.
- Numerical examples demonstrate convergence and practical applicability in fractured and heterogeneous media.
Conclusions:
- The proposed cell-centered finite volume method offers a unified approach for coupled hydromechanic flows.
- This method preserves the advantages of finite volume schemes for flow equations.
- It provides a robust tool for simulating complex porous media behaviors.
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