A hybrid, multiscale reservoir simulator has been developed
that
directly substitutes pore-scale models for continuum-scale, finite-difference
grids. Over 7500 pore scale models (∼75 million pores) are
inserted into a ∼1 m2 pore-scale region around a
producing well, which is coupled to an outer, fine-scale finite-difference
model with 10 000 cell-centered grids. This computationally
demanding problem is possible because the domain is decomposed into
manageable subdomains (thousands of pore-scale models and one continuum
region) and then coupled together using finite-element mortars to
ensure continuity between the subdomains. Here, flow is single-phase,
single-component, and steady-state, but the potential of the simulator
for more complex, near-well flows is demonstrated. A priori, direct upscaling and a posteriori, global upscaling
are both performed, and it is shown that the direct approach results
in significant inaccuracies in the pressure and flow fields but the
global upscaling approach results in a good approximation.
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