On the Convergence of Flow and Mechanics Iterative Coupling Schemes in Fractured Heterogeneous Poro-Elastic Media

摘要

In this work we establish the convergence of an adaptation of the fixed-stress split coupling scheme in fractured heterogeneous poro-elastic media. Here, fractures are modeled as possibly non-planar interfaces, and the flow in the fracture is described by a lubrication type system. The flow in the reservoir matrix and in the fracture are coupled to the geomechanics model through a fixed-stress split iteration, in which mass balance equations (for both flow in the matrix and in the fracture) are augmented with fixed-stress split regularization terms. The convergence proof determines the appropriate localized values of these regularization terms.