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Analysis of Fractured Rock Permeability Evolution Under Unloading Conditions by the Model of Elastoplastic Contact Between Rough Surfaces

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Abbreviations

a :

Contact area

a ec :

Elastic critical contact area

a epc :

Elastoplastic critical contact area

a l :

The largest contact area of asperity

A :

Sample cross-sectional area

A r :

The total real contact area

K :

Permeability

C :

Water compressibility

C f :

Fracture compressibility

E :

Young’s moduli

F :

Contact load

F ec :

Elastic critical contact load

F max :

Maximum contact load before unloading

F ne :

Contact load for elastic deformation

F nep :

Contact load for elastoplastic deformation

H :

Hardness of the asperity

K :

Hardness coefficient

L :

Sample length

R :

Radius of asperity

S d :

Maximum depth of valleys

S h :

Maximum absolute height

S m :

Arithmetical mean height

S p :

Maximum peak height

V u :

Volume of the upstream chamber

V d :

Volume of the downstream chamber

Y :

The yield strength of material

α :

The fitting parameter of the pressure decay curve

δ :

Normal displacement

μ :

Fluid viscosity

ν :

Poisson’s ratio

ω :

Deformation of the asperity

ω c :

Critical deformation at the inception of plastic deformation

ω max :

Maximum contact interference before unloading

ω res :

Residual contact interference after complete unloading

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (No.51374257 and No. 50804060), the Science and Technology Support Project of Guizhou (No. [2020]4Y044) and No. [2018]2787), the Research Fund for Talents of Guizhou University (Grant No. 201901), and the Special Research Funds of Guizhou University (Grant No. 201903). The authors declare that they have no conflict of interest.

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Authors and Affiliations

  1. College Civil Engineering, Guizhou University, Guiyang, 550025, Guizhou, China

    Y. Zhao, C. L. Wang & J. Bi

  2. Guizhou Provincial Key Laboratory of Rock and Soil Mechanics and Engineering Safety, Guiyang, 550025, Guizhou, China

    Y. Zhao, C. L. Wang & J. Bi

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  1. Y. Zhao
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  2. C. L. Wang
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Correspondence to C. L. Wang.

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Zhao, Y., Wang, C.L. & Bi, J. Analysis of Fractured Rock Permeability Evolution Under Unloading Conditions by the Model of Elastoplastic Contact Between Rough Surfaces. Rock Mech Rock Eng 53, 5795–5808 (2020). https://doi.org/10.1007/s00603-020-02224-x

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