22–25 May 2023
Europe/London timezone

Multicontinuum non-equilibrium theory for coupled flow and deformation in fractured rocks

22 May 2023, 10:50
15m
Oral Presentation (MS03) Flow, transport and mechanics in fractured porous media MS03

Speaker

Marco Dentz (IDAEA-CSIC)

Description

Coupled flow and deformation in fractured media is often modeled by the classical dual-porosity poroelasticity theory. The latter is based on the Barenblatt hypothesis of pressure equilibrium inside the rock matrix. This is a reasonable assumption if the characteristic time scales for pressure propagation in the matrix are comparable or smaller than the characteristic fracture time scales. Under large permeability contrasts between the fracture and matrix domains, these conditions may not be met, and the flow and deformation behaviors are dominated by non-equilibrium effects, which manifest in long-tails in flux responses. Using volume averaging, we derive a multicontinuum approach that accounts for pressure non-equilibrium in the rock matrix, and compare it to the classial dual porosity approach. We use explicit analytical solutions to identify the dominant time scales and time regimes, and to evaluate the scaling behaviors of the flux response in consolidation and production scenarios. The flux evolution at a production well is characterized by decay behaviors that are different from the classical dual porosity approach. These behaviors are related in the proposed multicontinuum theory to the permeability contrast and the permeability distribution across the matrix blocks.

Participation In-Person
Country Spain
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Primary authors

Marco Dentz (IDAEA-CSIC) Sandro Andrés (Department of Civil Engineering: Hydraulics, Energy and Environment, Universidad Politécnica de Madrid, Madrid, Spain) Luis Cueto-Felgueroso (Universidad Politecnica de Madrid)

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