Geotechnical and Geological Engineering

, Volume 37, Issue 1, pp 25–41 | Cite as

Mechanism of Zonal Disintegration Phenomenon (ZDP) Around Deep Roadway Under Dynamic Excavation

  • Qiang GaoEmail author
  • Qiangyong Zhang
  • Wen Xiang
Original Paper


Due to the exhaustion of shallow resources, the underground roadway used for coal mining has reached the depth of 1000 m. The zonal disintegration phenomenon (ZDP) in deep rock mass will appear with the increase of depth which is widely different from shallow failure mode.In order to reveal the formation mechanism of ZDP, a new theoretical model is proposed. Based on the strain gradient theory and the deformation theory of plasticity, an elastoplastic damage softening model considering of dynamic excavation is put forward. The dynamic equations and boundary equations are expressed through the Runge–Kutta method. The numerical analysis of rock mass failure induced by blast loading and transient release of in-situ stress after blasting excavation is compiled by Matlab program. Taking the deep tunnel of Dingji coal mine in Huainan mine area as engineering background, the theoretical solutions of radial displacement and stresses present an oscillating mode. The theoretical values are in good agreement with the field measured results in terms of magnitude and change law. The applicability of the elastoplastic damage softening model for ZDP is confirmed and the model can be used to provide theoretical support for the deformation and failure of surrounding rock in deep underground engineering.


Zonal disintegration phenomenon (ZDP) Strain gradient Deformation theory of plasticity Dynamic excavation Numerical analysis Oscillating mode 

List of symbols


Two order derivative of the displacement on time

\(\varDelta r\)

The space step


Modification parameter of the damage variable

\(\delta _{ij}\)

Kronecker symbol

\(\eta _{ijk}\)

High order strain tensor


Isentropic exponent of explosives


Lame constant

\(\rho _{0}\)

The density of the rock mass

\(\rho _{e}\)

The density of explosives

\(\sigma _1\)

The first principal stress

\(\sigma _{0}\)

Residual stress

\(\sigma _{\theta \theta }\)

Tangential stress

\(\sigma _{\theta \theta }^{*}\)

The generalized tangent stress

\(\sigma _{c}\)

Uniaxial compressive strength

\(\sigma _{f}\)

Peak stress

\(\sigma _{ij}\)

Two order Cauchy stress tensor

\(\sigma _{rr}\)

Radial stress

\(\sigma _{rr}^{*}\)

The generalized radial stress

\(\sigma _{s}\)

Yield stress

\(\sigma _{t}\)

The tensile strength

\(\sigma _{zz}\)

Axial stress

\(\sigma _{zz}^{*}\)

The generalized axial stress


The time step

\(\tau _{ijk}\)

Three order stress

\(\tilde{\sigma }\)

Equivalent stress

\(\tilde{\varepsilon }\)

Equivalent strain


Poisson ratio

\(\varepsilon _1\)

The first principal strain

\(\varepsilon _{0}\)

Residual strain

\(\varepsilon _{\theta \theta }\)

Tangential strain

\(\varepsilon _{f}\)

Peak strain

\(\varepsilon _{ij}\)

Eulerian strain tensor

\(\varepsilon _{rr}\)

Radial strain

\(\varepsilon _{s}\)

Yield strain

\(\varepsilon _{u}\)

Ultimate strain

\(\varepsilon _{z0}\)

Initial axis strain


Internal friction angle


Theoretical excavating radius


Radius of disturbed zone


The average speed of expansion


The reflected wave velocity spread


Diameter of blast hole


Diameter of cartridge


Detonation velocity of explosives


Surface gradient operator


Elastic modulus


Lame constants

\(k_{1},\, k_{2}\)

Small parameter perturbation terms


Length of the charging section


Length of the blockage section


Surface normal vector


Dynamic pressure on inner wall


In-situ stress


The pressure on the inner wall of the cylinder


The pressure on the outer wall of the cylinder


Equivalent peak load of the blasting load


Axial stress


Radius of plastic zone


Distance of adjacent blast holes


Start time of in-situ stress transient release


Time of positive pressure


Time of the basting load rising


Macroscopic displacement of material


Radial displacement


Axial displacement



This study was financially supported by the National Key Research and Development Program of China (No. 2016YFC0401804-03), the Project of Taishan scholar Engineering, the National Natural Science Foundation of China (No. 41772282), the Preliminary Research Project of the Underground Experimental Project for the Geological Disposal of High-level Radioactive Waste (No. YKKY-J-2015-25). The authors are deeply grateful for the support.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Research Center of Geotechnical and Structural EngineeringShandong UniversityJinanChina

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