Multi-scale approach for modeling the transversely isotropic elastic properties of shale considering multi-inclusions and interfacial transition zone

Abstract

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Experimental Study and Numerical Modeling of Fracture Propagation in Shale Rocks During Brazilian Disk Test

“…Anisotropy has been included in some of these numerical simulations by decreasing the values of mechanical properties, such as elastic modulus, cohesion coefficients or fracture toughness, in precise locations of the domain in order to create weak layers which affect fracture extents and shapes. However, Chen et al (2016) showed that the introduction of weak bands is not enough to entirely reproduce the real anisotropic mechanical response of the shale rocks. It should be considered that in addition to the presence of the voids and microfractures, there are many types of inclusions, such as quartz, calcite and dolomite, forming a locally heterogeneous structure for the shales.…”

An Improved Micromechanical Framework for Saturated Concrete Repaired by the Electrochemical Deposition Method considering the Imperfect Bonding

“…The Micromechanical Approaches to Represent the Imperfect Bonding. There are mainly two analytical models to represent the imperfect bonding between the inclusion phase and matrix phase [23][24][25][26][27]. One is the spring layer model, also known as the interface model, which involves a very thin interfacial zone of unspecified thickness [23][24][25].…”

“…One is the spring layer model, also known as the interface model, which involves a very thin interfacial zone of unspecified thickness [23][24][25]. The other is the interphase model, which describes the interfacial zone as a layer between particles and matrix of a specified thickness and of elastic constants different from those of the matrix and the particles [26,27]. In this paper, the interphase model is utilized to represent the imperfect bonding between the deposition products and the intrinsic concrete matrix.…”

An Extended Grain‐Based Model Accounting for Microstructures in Rock Deformation

“…Since macroscopic rock failure is attributed to complicated micromechanisms that are involved in the cracking process (Hajiabdolmajid & Kaiser, ), reliable interpretation of the microscopic fracturing mechanism relies on an in‐depth knowledge of the effects of grain‐scale structures. Chen et al () found that the introduction of weak bands is insufficient to capture the entire anisotropic mechanical behavior of transversely isotropic shale rocks, while other types of inclusions (e.g., quartz, calcite, and dolomite) forming local heterogeneity should also be considered. Meng and Pan () presented quantitative correlations between mineral compositions and failure duration, microstructures, and failure duration, which indicate significant reliance of macromechanical properties of rocks on their petrographic characteristics.…”