Equivalent properties of rock strata: static and dynamic analysis

Sheshenin, S. V.; Kalinin, E. V.; Bujakov, M. I.

doi:10.1002/(sici)1096-9853(199708)21:8<569::aid-nag891>3.0.co;2-2

Cited by 7 publications

(4 citation statements)

References 8 publications

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“…In the dynamic effective elastic moduli method [12,16,23], the effective modulus of the rock mass is calculated by…”

Section: Conventional Effective Elastic Moduli Methodsmentioning

confidence: 99%

“…A DDM is adopted here to validate the equivalent medium methods. If a harmonic incident P-wave with the form of v = V 0 exp(iot) is applied at the left boundary (x = 0) of the rock mass, the transmitted wave at x = S is derived as written in Equation (12) [5,6,21].…”

Section: Evaluation Of Equivalent Medium Methodsmentioning

confidence: 99%

“…Treating the incident wave as the sum of a series of harmonic waves in the frequency domain, then the components of the transmitted wave in the frequency domain are obtained by Equation (12). The transmitted wave is thus determined by the sum of all the wave components.…”

Section: Evaluation Of Equivalent Medium Methodsmentioning

confidence: 99%

“…The other category is the 'effective moduli method (EMM)', in which the jointed rock mass is treated as a continuous medium, and the effects of joints on the rock mass properties are reflected by the effective moduli of the equivalent medium [9][10][11][12]. The static effective elastic moduli method deduces the effective elastic moduli based on special distribution and the stiffness of constitutes in a composite [13].…”

Section: Introductionmentioning

confidence: 99%

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Evaluation of equivalent medium methods for stress wave propagation in jointed rock mass

Fan²,

2011

Num Anal Meth Geomechanics

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SUMMARYThis paper evaluates the existing equivalent medium methods for jointed rock mass and further develops the equivalent viscoelastic medium method proposed by the authors. The advantages and limitations of different equivalences to the discontinuous rock mass are discussed. Theoretical derivation of stress wave propagation through the equivalent viscoelastic medium is carried out by adopting the Fourier transformation method, and the parameters of the equivalent viscoelastic medium method are determined analytically. The frequency dependence and the wave attenuation phenomenon can be properly described when the imaginary terms of the complex moduli of the rock mass are included. The results show that the equivalent viscoelastic medium method is able to predict the effective velocity and the stress wave transmission coefficient in a rock mass more accurately than the conventional effective elastic moduli methods. An example of the stress wave propagation through rock mass with parallel joints shows that the equivalent viscoelastic medium method is promising and worthy to be further explored for application in practical rock engineering problems.

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“…In the dynamic effective elastic moduli method [12,16,23], the effective modulus of the rock mass is calculated by…”

Section: Conventional Effective Elastic Moduli Methodsmentioning

confidence: 99%