Adaptive Dynamic Multilevel Simulation of Fractured Geothermal Reservoirs

Adaptive Dynamic Multilevel Simulation of Fractured Geothermal Reservoirs

Hosseinimehr, S.M. (TU Delft Numerical Analysis)
Vuik, Cornelis (TU Delft Numerical Analysis)
Hajibeygi, H. (TU Delft Reservoir Engineering)

2020

An algebraic dynamic multilevel (ADM) method for fully-coupled simulation of flow and heat transport in heterogeneous fractured geothermal reservoirs is presented. Fractures are modeled explicitly using the projection-based embedded discrete method (pEDFM), which accurately represents fractures with generic conductivity values, from barriers to highly-conductive manifolds. A fully implicit scheme is used to obtain the coupled discrete system including mass and energy balance equations with two main unknowns (i.e., pressure and temperature) at fine-scale level. The ADM method is then developed to map the fine-scale discrete system to a dynamic multilevel coarse grid, independently for matrix and fractures. To obtain the ADM map, multilevel multiscale coarse grids are constructed for matrix as well as for each fracture at all coarsening levels. On this hierarchical nested grids, multilevel multiscale basis functions (for flow and heat) are solved locally at the beginning of the simulation. They are used during the ADM simulation to allow for accurate multilevel systems in presence of parameter heterogeneity. The resolution of ADM simulations is defined dynamically based on the solution gradient (i.e. front tracking technique) using a user-defined threshold. The ADM mapping occurs algebraically using the so-called ADM prolongation and restriction operators, for all unknowns. A variety of 2D and 3D fractured test cases with homogeneous and heterogeneous permeability maps are studied. It is shown that ADM is able to model the coupled mass-heat transport accurately by employing only a fraction of fine-scale grid cells. Therefore, it promises an efficient approach for simulation of large and real-field scale fractured geothermal reservoirs. All software developments of this paper is publicly available at https://gitlab.com/DARSim2simulator.

Adaptive mesh refinement
Flow in porous media
Fractured porous media
Geothermal energy
Mass-heat transfer coupling
Multiscale simulation

http://resolver.tudelft.nl/uuid:7fca7472-5d2d-4af1-8260-f5890c1c3576

https://doi.org/10.1016/j.jcpx.2020.100061

2590-0552

Journal of Computational Physics: X, 7, 1-24

Institutional Repository

journal article

© 2020 S.M. Hosseinimehr, Cornelis Vuik, H. Hajibeygi