Abstract
To determine the role of LN2-cooling in the fracturing process of the coal, the LN2-cooling process of the coal samples is divided into three states: initial state, frozen state, and freeze–thaw state. Changes in the mechanical properties and fracture behaviors of the coal samples under three states are systematically evaluated by a series of laboratory experiments. The thermal cracking behavior of the coal during LN2 freeze–thaw is revealed through a crack phase-field model. The results indicate that the compressive strength, elastic modulus, and fracture toughness of the frozen coal significantly increase, while they decrease for the freeze–thaw coal. The tensile strength of the coal under the freeze and freeze–thaw states has an obvious reduction, where a greater decrease for the freeze–thaw coal is induced. The fracture propagation process and induced fracture morphology of the coal under both the freeze and freeze–thaw states become complex, in which a greater change for the freeze–thaw coal is presented. The micro-fracture in the coal during LN2-cooling mainly comes from the temperature gradient and mismatch of thermal stress between adjacent mineral particles. Both fracture growth rate and fracture area in the LN2 thaw process are larger than that in the LN2 freeze process. The variations in the fracturing behaviors of the coal with different LN2 treatment states in the mechanical experiments are well explained by the numerical simulation results.
Highlights
-
The mechanical properties of the coal with different LN2 cooling states are studied systematically through laboratory experiments.
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Effects of the LN2 cooling state on the crack propagation and fracture morphology of the coal in the mechanical tests are analyzed.
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The micro-crack evolution process of the coal during the LN2 freeze–thaw is revealed through a crack phase-field model.
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Both the crack propagation rate and induced crack area inside the coal during the LN2 thaw process are greater than that during the LN2 freeze process.
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Abbreviations
- CBM:
-
Coalbed methane
- QSGS:
-
Quartet structure generation set
- RA:
-
Rise time/amplitude
- \({\sigma }_{\mathrm{t}}\) :
-
Tensile strength
- \({K}_{\mathrm{I}}\) :
-
Mode I fracture toughness
- \({P}_{\mathrm{max}}\) :
-
Maximum loading
- \(D\) :
-
Diameter of the disk
- \({Y}_{I}\) :
-
Geometry factor
- \(t\) :
-
Time
- \(T\) :
-
Temperature
- \(\overline{T }\) :
-
Specified boundary temperature
- \(\overline{Q }\) :
-
Specified boundary heat source
- \(h\) :
-
Convective parameter of heat exchange
- \(Q\) :
-
Heat source
- \({c}_{\mathrm{p}}\) :
-
Heat capacity
- \(\rho\) :
-
Density of the coal
- \(k\) :
-
Heat conductivity
- \({\mathbf{n}}^{\mathrm{T}}\) :
-
Normal unit vector
- \({\varvec{\upsigma}}\) :
-
Stress tensor
- \({\mathbf{F}}_{\mathrm{V}}\) :
-
Volumetric force tensor
- \(\mathbf{D}\) :
-
Elasticity modulus tensor
- \(\mathbf{u}\) :
-
Displacement tensor
- SEM:
-
Scanning electron microscope
- AE:
-
Acoustic emission
- ISRM:
-
International Society for Rock Mechanics
- AF:
-
AE counts/duration
- \({{\varvec{\upvarepsilon}}}^{\mathrm{e}}\) :
-
Elastic strain
- \({{\varvec{\upvarepsilon}}}^{\mathrm{th}}\) :
-
Thermal strain
- \({T}_{0}\) :
-
Reference temperature
- \({{\varvec{\upalpha}}}_{\mathrm{T}}\) :
-
Thermal expansion tensor.
- \(\phi\) :
-
Phase field
- \(d\left(\phi \right)\) :
-
Damage function
- \({l}_{\mathrm{int}}\) :
-
Internal length scale
- \({H}_{\mathrm{d}}\) :
-
State variable function
- \({G}_{\mathrm{c}}\) :
-
Critical energy release rate
- \({G}_{\mathrm{c}0}\) :
-
Strain energy threshold
- \({W}_{\mathrm{s}0}^{+}\) :
-
Tensile part of the undamaged elastic strain energy density
- \({{\varvec{\upvarepsilon}}}_{\mathrm{el}}^{+}\) :
-
Tensile part of the elastic strain tensor
- \({{\varvec{\upvarepsilon}}}_{\mathrm{el},\mathrm{pi}}\) :
-
Principal value of the elastic strain tensor
- \({\mathbf{n}}_{i}\) :
-
Direction vector
- \(\mathbf{C}\) :
-
4th order elasticity tensor
- \({k}_{0}\) :
-
Initial thermal conductivity
- \(g\left(\phi \right)\) :
-
Stiffness weakening function
- \({\mathbf{D}}_{0}\) :
-
Initial elasticity modulus tensor
- \(\nu\) :
-
Poisson’s ratio
- \(E\) :
-
Elastic modulus
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Acknowledgements
This work had been financially supported by the National Natural Science Foundation of China (51604263, U1762105, and 51904270), the China Postdoctoral Science Foundation (2020M673451), the China University of Mining and Technology [3021802, The Fluidization Mining for Deep Coal Resources], and the Natural Science Foundation of Jiangsu Province (BK20160252).
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PH, SS and FG conceived and designed the study. PH performed the numerical simulations and wrote the manuscript. SS, XL and SW carried out the experiment. SS and YG analyzed the experimental results. FG and CC edited this manuscript.
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Hou, P., Su, S., Gao, F. et al. Influence of Liquid Nitrogen Cooling State on Mechanical Properties and Fracture Characteristics of Coal. Rock Mech Rock Eng 55, 3817–3836 (2022). https://doi.org/10.1007/s00603-022-02851-6
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DOI: https://doi.org/10.1007/s00603-022-02851-6