MRST - Transforming research on reservoir simulation

 Testside $\nabla \cdot \vec{v} = q, \qquad v = - \nabla p$ This is the result of a multiscale simulation using 141 coarse blocks to coarsen a fine grid with 3241 cells. We compute basis functions by locally approximating solution of the pressure equation $\nabla \cdot \vec{v} = q$ where the velocity is a result of the empirical Darcy's law, $\vec{v} = - \nabla p$. The fine grid is a Voronoi diagram of staggered grid points, resulting in a PEBI grid. The grid adapts to wells and faults. The transport equation is used to find the saturation as time progresses. We have quadratic type relative permeability curves, $k_{rw} = s_w^2$... Adaptive updating of the basis functions is used to account for changes in fluid mobility. The MsRSB basis functions are straightforward to define for complex grids, and give good results... Published April 30, 2015