SFB 1313 Publication "Hydraulically induced fracturing in heterogeneous porous media using a TPM-phase-field model and geostatistics"

New SFB 1313 publication, published in Proceedings in Applied Mathematics and Mechanics. The work has been developed within the SFB 1313 research projects B02 and B04.

"Hydraulically induced fracturing in heterogeneous porous media using a TPM-phase-field model and geostatistics"

Authors

• Arndt Wagner (University of Stuttgart, SFB 1313 research project B02)
• Alixa Sonntag (University of Stuttgart, SFB 1313 research project B02)
• Sebastian Reuschen (Mercedes-Benz AG, former researcher of SFB 1313 research project B04)
• Wolfgang Nowak (University of Stuttgart, SFB 1313 research projects B04 and B05)
• Wofgang Ehlers (University of Stuttgart, SFB 1313 advisory board member and former researcher of research project B02)

Abstract

Hydraulically induced fracturing is widely used in practice for several exploitation techniques. The chosen macroscopic model combines a phase-field approach to fractures with the Theory of Porous Media (TPM) to describe dynamic hydraulic fracturing processes in fully-saturated porous materials. In this regard, the solid's state of damage shows a diffuse transition zone between the broken and unbroken domain. Rocks or soils in grown nature are generally inhomogeneous with material imperfections on the microscale, such that modelling homogeneous porous material may oversimplify the behaviour of the solid and fluid phases in the fracturing process. Therefore, material imperfections and inhomogeneities in the porous structure are considered through the definition of location-dependent material parameters. In this contribution, a deterministic approach to account for predefined imperfection areas as well as statistical fields of geomechanical properties is proposed. Representative numerical simulations show the impact of solid skeleton heterogeneities in porous media on the fracturing characteristics, e. g. the crack path.