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2021 | OriginalPaper | Chapter

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

Authors : Tameem Almani, Kundan Kumar, Abdulrahman Manea

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2019

Publisher: Springer International Publishing

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Abstract

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.

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Metadata
Title
On the Convergence of Flow and Mechanics Iterative Coupling Schemes in Fractured Heterogeneous Poro-Elastic Media
Authors
Tameem Almani
Kundan Kumar
Abdulrahman Manea
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-55874-1_4

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