Equivalent elastic moduli of a rock mass consisting of orthorhombic layers

Gerrard, C M

doi:10.1016/0148-9062(82)90705-7

Cited by 70 publications

(22 citation statements)

References 3 publications

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“…It should be pointed out that the above equation can also be obtained by simplifying the classical homogenization model [21].…”

Section: The Stress-strain Relationship For An Equivalent Transverselmentioning

confidence: 99%

“…When the thicknesses of the layers are very small compared with the characteristic length, e.g. the dimensions of a storage cavern, classical homogenization methods are usually utilized to account for the influence of the volume fraction and, preferably, of distribution and morphology of the inclusions (including the discontinuities) [21,22]. Good agreement can be achieved by using these homogenized continuum methods.…”

Section: Introductionmentioning

confidence: 98%

“…The classical homogenization methods (e.g. in Reference [21]) generally assumed that the stresses in the individual phase are uniform.…”

Section: Introductionmentioning

confidence: 99%

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A new Cosserat‐like constitutive model for bedded salt rocks

Yang

Daemen

et al. 2009

Num Anal Meth Geomechanics

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SUMMARYSalt rocks are commonly used as geologic host rocks for storage of gas and crude oil, and are being considered for the disposal of radioactive waste. Different from the salt rock domes in many countries, the salt rock formations in China are usually laminar with many alternating layers, i.e. rock salt, anhydrite, and/or mudstone. Considering the unique stratigraphic characteristics of these salt rocks, a new Cosseratlike medium constitutive model is proposed in order to facilitate efficient modeling of the mechanical behavior of these formations. In this model, a new representative volume element, containing two different layers, is employed to simulate the compatibility of the meso-displacement between two different layers and also the bending effect. A new method for the deformation and failure analysis of bedded salt rocks is derived therefrom. Having the macro-average stresses, the conventional stresses in the different layers can be obtained in sequence. The conventional stresses can then be utilized in a routine way for the strength and failure analysis. For the initial numerical modeling, the new Cosserat-like medium is reduced to a transversely isotropic one. The simplified constitutive model for layered media is then implemented into FLAC3D codes. A test sample validates that the results by using the numerical model are in good agreement with that by using the built-in model, and the mesh size for the new model is reduced greatly. Finally, an application for the stability of oil storage caverns in deep thinly bedded salt rocks is carried out. The effects on convergence of storage caverns and on the failure of surrounding rock due to the presence of the mudstone interlayers (hard phase) are discussed in detail.

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“…It should be pointed out that the above equation can also be obtained by simplifying the classical homogenization model [21].…”

Section: The Stress-strain Relationship For An Equivalent Transverselmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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A new Cosserat‐like constitutive model for bedded salt rocks

Yang

Daemen

et al. 2009

Num Anal Meth Geomechanics

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“…Because the application section uses these formulae, Appendix A records the shape of the compliance tensor for an isotropic transverse material and gives the expressions of the five elastic coefficients as a function of the volume fractions of each layer and of the layer elastic properties. Gerrard [18] extended Salamon method's to orthorhombic layers. More recently, Rijpsman and Zijl [19] studied the case of imperfectly layered rock types: stratified rock with deviations from a perfect layering.…”

Section: Literature Reviewmentioning

confidence: 99%

Upscaling of elastic properties for large scale geomechanical simulations

Chalon

Mainguy

Longuemare

et al. 2004

Num Anal Meth Geomechanics

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SUMMARYLarge scale geomechanical simulations are being increasingly used to model the compaction of stress dependent reservoirs, predict the long term integrity of under-ground radioactive waste disposals, and analyse the viability of hot-dry rock geothermal sites. These large scale simulations require the definition of homogenous mechanical properties for each geomechanical cell whereas the rock properties are expected to vary at a smaller scale. Therefore, this paper proposes a new methodology that makes possible to define the equivalent mechanical properties of the geomechanical cells using the fine scale information given in the geological model. This methodology is implemented on a synthetic reservoir case and two upscaling procedures providing the effective elastic properties of the Hooke's law are tested. The first upscaling procedure is an analytical method for perfectly stratified rock mass, whereas the second procedure computes lower and upper bounds of the equivalent properties with no assumption on the small scale heterogeneity distribution. Both procedures are applied to one geomechanical cell extracted from the reservoir structure. The results show that the analytical and numerical upscaling procedures provide accurate estimations of the effective parameters. Furthermore, a large scale simulation using the homogenized properties of each geomechanical cell calculated with the analytical method demonstrates that the overall behaviour of the reservoir structure is well reproduced for two different loading cases.

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“…There are theoretical studies in the literature to develop constitutive models for describing the deformation behavior of rock masses [11], and to estimate the strength and deformation properties of rock masses [12][13][14], which have a limited applicability for variation or uncertainty evaluation requirements. Most of them used assumptions and simplification for representing fractured rock masses with much simplified or regular fracture system geometry so that the models cannot make a good representation of the complex fractured rocks in nature.…”

Section: Introductionmentioning

confidence: 99%