One of the most challenging issues in reservoir modeling relies on the development of proper numerical schemes for coupling flow and geomechanics with ability to handle highly heterogeneous coefficients with complex spatial distributions while preserving local conservation properties and computational efficiency. Among the class of iterative schemes where hydrodynamics is solved first, we may highlight the fixed strain and stress split. While the fixed strain presents only conditioned stability, the unconditional stable fixed stress split is more efficient, since the source term involving the time-derivative of the total mean stress admits a much slower characteristic time scale compared to the other

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