Journal of Rock Mechanics and Geotechnical Engineering (Feb 2016)

Effects of porosity on seismic velocities, elastic moduli and Poisson's ratios of solid materials and rocks

  • Chengbo Yu,
  • Shaocheng Ji,
  • Qi Li

DOI
https://doi.org/10.1016/j.jrmge.2015.07.004
Journal volume & issue
Vol. 8, no. 1
pp. 35 – 49

Abstract

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The generalized mixture rule (GMR) is used to provide a unified framework for describing Young's (E), shear (G) and bulk (K) moduli, Lame parameter (λ), and P- and S-wave velocities (Vp and Vs) as a function of porosity in various isotropic materials such as metals, ceramics and rocks. The characteristic J values of the GMR for E, G, K and λ of each material are systematically different and display consistent correlations with the Poisson's ratio of the nonporous material (ν0). For the materials dominated by corner-shaped pores, the fixed point at which the effective Poisson's ratio (ν) remains constant is at ν0 = 0.2, and J(G) > J(E) > J(K) > J(λ) and J(G) 0.2 and ν0 J(Vp) and J(Vs) 0.2 and ν0 0.2 and ν0 = 0.2, respectively. For natural rocks containing thin-disk-shaped pores parallel to mineral cleavages, grain boundaries and foliation, however, the ν fixed point decreases nonlinearly with decreasing pore aspect ratio (α: width/length). With increasing depth or pressure, cracks with smaller α values are progressively closed, making the ν fixed point rise and finally reach to the point at ν0 = 0.2.

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