Identification of viscoelastic properties from numerical model reduction of pressure diffusion in fluid-saturated porous rock with fractures
Journal article, 2018

This paper deals with the computational homogenization and numerical model reduction of deformation driven pressure diffusion in fractured porous rock. Exposed to seismic waves, the heterogeneity of the material leads to local fluid pressure gradients which are equilibrated via pressure diffusion. However, a macroscopic observer is not able to measure the diffusion process directly but senses the intrinsic attenuation of an apparently monophasic viscoelastic solid. The aim of this paper is to establish a reliable, yet numerically efficient, computational homogenization method to identify the viscoelastic properties of the macroscopic substitute model. Inspired by the Nonuniform Transformation Field Analysis, we incorporate a Numerical
Model Reduction procedure. The proposed method is validated for several scenarios ranging from pressure diffusion in an unfractured poroelastic matrix, via localized pressure diffusion in interconnected fractures embedded in an impermeable matrix, to the fully coupled pressure diffusion both in fractures and the embedding poroelastic matrix.

Poroelasticity with fractures · Computational homogenization · Numerical model reduction

Author

Ralf Jänicke

Chalmers, Industrial and Materials Science, Material and Computational Mechanics

Beatriz Quintal

University of Lausanne

Fredrik Larsson

Chalmers, Industrial and Materials Science, Material and Computational Mechanics

Kenneth Runesson

Chalmers, Industrial and Materials Science, Material and Computational Mechanics

Computational Mechanics

0178-7675 (ISSN) 1432-0924 (eISSN)

Modeling and calculation based homogenization of a porous medium with fluid transport in a network of propagating fractures

Swedish Research Council (VR), 2018-01-01 -- 2022-12-31.

Numerisk modellreduktion vid beräkningsbaserad homogenisering av deformation och strömning i porösa medier

Swedish Research Council (VR), 2016-01-01 -- 2019-12-31.

Subject Categories

Geophysical Engineering

Applied Mechanics

Geophysics

DOI

10.1007/s00466-018-1584-7

More information

Latest update

6/19/2018