A New Class of Locally Conservative Numerical Schemes for Coupling Multiphase Flows and Reservoir Geomechanics

Event details
Date | 16.09.2014 |
Hour | 15:30 › 16:30 |
Speaker | Prof. Marcio A. Murad, National Laboratory for Scientific Computing LNCC/MCTI, Brazil |
Location |
GC A1 416
|
Category | Conferences - Seminars |
We propose a new iterative coupled formulation based on Biot's theory of poroelasticity for multiphase flows of linear compressible fluids in strongly heterogeneous carbonated rocks including the geomechanics of theadjacent impermeable geological formations. Within the framework of the so-called iteratively coupled methods and fixed-stress split algorithm we develop mixed finite element methods for the flow and geomechanics subsystems which furnish locally conservative Darcy velocity and total Lagrangian fluid mass content in the sense of Coussy, Such fields are input for the transport problem for the water saturation which is formulated in terms of the Lagrangian porosity. The numerical resolution of the saturation equation is accomplished within a fractional step method. The predictor step is discretized by a higher-order non-oscillatory finite volume central scheme whereas the corrector based on Godunov or Strang splittings. The geomechanics step is solved in larger domains including the over-burden, up to the surface, under-burden and side-burdens up to the far field where boundary conditions are enforced. Numerical simulations of a water-flooding problem in secondary oil recovery are presented in domains characterized by images provided by seismic data processing . In addition simulations including the nonlinear stress-strain behavior of the adjacent rocks are performed showing the effects of irreversible deformation upon finger grow and breakthrough curves.
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