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Estimation of the equivalent elastic modulus in shale formation: Theoretical model and experiment

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Abstract Anisotropy is prevalent in sedimentary rock masses, such as shale formations that contain numerous inherent bedding planes (BPs) and natural fractures (NFs). This study proposes a new methodology to… Click to show full abstract

Abstract Anisotropy is prevalent in sedimentary rock masses, such as shale formations that contain numerous inherent bedding planes (BPs) and natural fractures (NFs). This study proposes a new methodology to determine the equivalent elastic properties of shale formations that uses the weak patches stiffness model and fracture mechanics theory to theoretically consider both BP- and NF-induced anisotropy. First, a series of uniaxial compression tests for Longmaxi shale demonstrates that its apparent elastic modulus ranges from 14.9 to 18.8 GPa. Then, by collecting experimental data and performing a Monte–Carlo simulation method, the NF network is built within the target 3D shale formation, and the equivalent elastic modulus values along a given wellbore wall are estimated. The results reveal that the elastic parameters of shale formations exhibit high directional dependency associated with the presence of BPs and NFs; a higher NF density is also found to lower the BP-induced anisotropy. Wider application of Monte–Carlo simulations in future studies is recommended to calculate the deformation issues of large-scale numerical petroleum engineering modeling when considering the influence of NFs.

Keywords: elastic modulus; model; equivalent elastic; shale formation

Journal Title: Journal of Petroleum Science and Engineering
Year Published: 2017

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