A phase‐field model of hydraulic fracture in saturated binary porous media

A phase‐field model of hydraulic fracture in saturated binary porous media In many fields of engineering, especially in geo sciences and rock mechanics, the theoretical and numerical modeling of hydraulic fracturing of porous materials plays an important role. Hydraulic fracturing is a well stimulation technology in which porous materials are fractured by a pressurized liquid. The process involves the pressure injection of the fracking fluid (primarily water, often enriched with filling materials and thickening agents) and accompanied by crack nucleation and propagation as well as mass transport. In this contribution, a macroscopic model based on the Theory of Porous Media (TPM) is presented in view of the description of the aforementioned phenomena. For simplification an incompressible binary model consisting of the phases solid and liquid is used. Attention is paid to the description of the damage of the elastic solid phase. The development of the damage parameter is controlled by an evolution equation, which corresponds to known diffusive phase field models within a continuum mechanical framework. A numerical example shows that the simplified model is indeed capable of simulating hydraulic fracturing of porous media. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings in Applied Mathematics & Mechanics Wiley

A phase‐field model of hydraulic fracture in saturated binary porous media

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Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2017 Wiley Subscription Services
ISSN
1617-7061
eISSN
1617-7061
D.O.I.
10.1002/pamm.201710239
Publisher site
See Article on Publisher Site

Abstract

In many fields of engineering, especially in geo sciences and rock mechanics, the theoretical and numerical modeling of hydraulic fracturing of porous materials plays an important role. Hydraulic fracturing is a well stimulation technology in which porous materials are fractured by a pressurized liquid. The process involves the pressure injection of the fracking fluid (primarily water, often enriched with filling materials and thickening agents) and accompanied by crack nucleation and propagation as well as mass transport. In this contribution, a macroscopic model based on the Theory of Porous Media (TPM) is presented in view of the description of the aforementioned phenomena. For simplification an incompressible binary model consisting of the phases solid and liquid is used. Attention is paid to the description of the damage of the elastic solid phase. The development of the damage parameter is controlled by an evolution equation, which corresponds to known diffusive phase field models within a continuum mechanical framework. A numerical example shows that the simplified model is indeed capable of simulating hydraulic fracturing of porous media. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal

Proceedings in Applied Mathematics & MechanicsWiley

Published: Jan 1, 2017

References

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