Adaptive Parameterization for Solving of Thermal/Compositional Nonlinear Flow and Transport With Buoyancy
- Mark Khait (Delft University of Technology) | Denis Voskov (Delft University of Technology and Stanford University)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- April 2018
- Document Type
- Journal Paper
- 522 - 534
- 2018.Society of Petroleum Engineers
- molar formulation, Operator-Based Linearization, nonlinear solvers, thermal-compositional simulation
- 8 in the last 30 days
- 251 since 2007
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The nonlinear nature of flow and transport in porous media requires a linearization of the governing numerical-model equations. We propose a new linearization approach and apply it to complex thermal/compositional problems. The key idea of the approach is the transformation of discretized mass- and energy-conservation equations to an operator form with separate space-dependent and state-dependent components. The state-dependent operators are parameterized using a uniformly distributed mesh in parameter space. Multilinear interpolation is used during simulation for a continuous reconstruction of state-dependent operators that are used in the assembly of the Jacobian and residual of the nonlinear problem. This approach approximates exact physics of a simulation problem, which is similar to an approximate representation of space and time discretization performed in conventional simulation. Maintaining control of the error in approximate physics, we perform an adaptive parameterization to improve the performance and flexibility of the method. In addition, we extend the method to compositional problems with buoyancy. We demonstrate the robustness and convergence of the approach using problems of practical interest.
|File Size||1 MB||Number of Pages||13|
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