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The stiffnesses constants, Young's moduli, Poisson's ratios, and bulk moduli of these rocks, were also calculated. The velocity anisotropies, together with the behavior of the elastic constants for dry rocks, indicate that: (1) the elastic anisotropy of the sandstones and sandy shales is due to
measure rocks is extremely important for ground control and methane control objectives in underground coal mining. The elastic modulus, or Young’s modulus, and shear modulus are used when deformations in underground mines need to be computed. Experimentally, the elastic modulus can be determined from the
Sep 11, 2020· In the hydrocarbon industry, Young's modulus is used to design hydraulic fracturing mechanisms. Rigid rocks with a high value of Young's modulus will result in narrower fractures than rocks with a lower rigidity. Shear Modulus. The shear modulus, µ (Pa) or G describes the rigidity of a material, its resistance to shear strain/angular distortions.
Young's Modulus, or lambda E, is an elastic modulus is a measure of the stiffness of a material. It is used extensively in quantitative seismic interpretation, rock physics, and rock mechanics. It is defined as the ratio of uniaxial stress to uniaxial strain when linear elasticity applies.
technique for estimation of the dynamic Young’s modulus of sedimentary rocks is the elastic wave theory, which is grounded in the principles of acoustic wave propagation through a porous rock [5–15]. According to such an approach, the dynamic Young’s modulus is estimated using the velocity of waves, elastic constants, and rock density [16].
Typical Values of Young’s Elastic Modulus and Poisson’s Ratio for Pavement Materials Young’s Elastic Modulus Poisson’s Ratio Material (E or Mr), psi (μ or ν) Asphalt concrete 32 F 2,000,000 – 5,000,000 0.25 – 0.30 (uncracked) 70 F 300,000 – 500,000 0.30 – 0.35 140 F 20,000 – 50,000 0.35 – 0.40 Portland cement concrete 3,000,000 – 5,000,000 0.15 (uncracked) Similar to
In Figure 1, E0 is the value of Young’s Modulus at zero confining pressure. 22000 4000 2 Fig. 1. Variation of Emax(E e) with 1= 3. 3.2 Cross-anisotropy The Young's modulus Ee for elastic strains of soft rock is assumed to be cross-anisotropic. From the test results it was seen that the Young's modulus, Ee for elastic
Neither a significant frequency dependence nor a pronounced strain amplitude dependence was observed, providing a Young's modulus of (75 ± 7) GPa and a Poisson's ratio of (0.28 ± 0.02). These values are characteristic of Calcare Massiccio in undamaged condition. elastodynamics, laboratory measurement, moduli
Empirical estimation of rock mass modulus E. Hoek and M.S. Diederichs Based on an analysis of an extensive data set from China and Taiwan the authors have proposed two new equations for empirical estimates of the deformation modulus of rock masses. These estimates are based on the Geological Strength Index (GSI), the
Figure 1. Dynamic Young’s modulus (Edynamic), static Young’s modulus (Estatic) and axial stress (sz) versus axial strain, from a laboratory triaxial compression test (using 12 MPa confining stress) on Castlegate sandstone. This rock is an outcrop with 28.8% porosity. It consists of 70% quartz, 30% feldspar and rock fragments, and no clay
the dynamic Young's modulus, Ed, Poisson's ratio <d, and shear modulus Gd are calculated from the measured shear and longitudinal wave velocities Vs and Vp (about 1.5 Vs) as follows where ( is the unit weight of the rock and g is the acceleration due to gravity. An example of
Young's modulus, the Young modulus or the modulus of elasticity in tension, is a mechanical property that measures the tensile stiffness of a solid material. It quantifies the relationship between tensile stress (force per unit area) and axial strain
Jan 01, 2017· Young modulus is one of a basic geo-mechanical parameters used for the defining of the phenomena in rock mass. It is determined based on a uni-axial compressive test. According to the International Society of Rock Mechanics one may calculate it in three different ways as the tangent, secant and average modulus.
Average values of elastic moduli along the tangential (E T) and radial (E R) axes of wood for samples from a few species are given in the following table as ratios with elastic moduli along the longitudinal (E L) axis. Since the modulus of elasticity values are determined from bending, the tabulated values given above includes an effect of
the dynamic Young's modulus, Ed, Poisson's ratio <d, and shear modulus Gd are calculated from the measured shear and longitudinal wave velocities Vs and Vp (about 1.5 Vs) as follows where ( is the unit weight of the rock and g is the acceleration due to gravity. An example of
physical rock properties which were taken in this study are tensile strength, compressive strength, dry density, mean hardness of rock, mean grain size, Young’s modulus, Schmidt hammer rebound number and Schimazek’s F- abrasivity. The rock samples were collected from eight mines and one high way’s …
In below sub-sections the process of estimating rock mechanical properties and on-situ stress profiles are briefly reviewed. 2.1 Elastic properties Dynamic elastic rock properties including the Young’s modulus (EMDyn) and Poisson’s ratio ( ) are calculated in relation with the rock density, , and
Modulus of elasticity or Young's modulus ( E ): The ratio of stress to corresponding strain below the proportionality limit of a material. Values of E for various rocks are shown in Table A-1 in the Appendix. Modulus of deformation of a rock mass ( Em ): The ratio of stress (p) to …
International Journal of Rock Mechanics & Mining Sciences ] (]]]]) ]]]–]]] Technical note Estimating unconﬁned compressive strength and elastic modulus of a fault breccia mixture of weak blocks and strong matrix S. Kahraman , M. Alber Ruhr-University, Institute for Geology, Mineralogy and Geophysics, 44780 Bochum, Germany Accepted 31 March 2006
dynamic values of Young's modulus for a wide range of rock types. The data are obtained from a number of BGS boreholes, which had been comprehensively sampled and geophysically logged. Dynamic elastic moduli The dynamic elastic moduli of a material are expressed as follows: Young's modulus …