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The Characteristics and Laws of Fracture Damage in the Long-Term Production Process of High-Temperature Geothermal Resources

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Abstract

Geothermal energy is an important renewable energy source, among which hot dry rocks (HDRs) are abundant and potential. The HDRs mass is dense, so the fractures become the only flow and heat transfer channel for fluids. It is of great engineering significance to reveal the fractures damage characteristics and laws in the long-term production process. Therefore, we carried out the real triaxial injection experiments and the water impact fracture experiments. The fracture damage characteristics and laws were analyzed by computed tomography scanning, sonic wave testing, scanning electron microscopy, and morphological scanning. To analyze the stress distribution and potential damage area, we established a thermo-hydro-mechanical coupling model based on experiments. The results obtained are as follows: the fracture morphology and volume increase significantly with the increase of temperature and stress difference, and the temperature effect is more obvious. The weak cementation in the original fracture is destroyed, accompanied by the germination of microcracks and the expansion of fractures along the tip. The maximum increase of fracture length and aperture can increase about 50 mm and 0.2 mm, and the maximum increase of fracture volume can reach 100 times. The variation of coarse-grained granite is more pronounced than that of fine-grained granite. More, there are intergranular fractures and transgranular fractures in fracture expansion. The simulation results strongly confirmed the experimental results. The fractures are the main potential damage areas, mainly shear damage in the early stage and tension damage in the later stage. The research results are expected to guide optimizing the scheme and enhancing the heat extraction.

Highlights

  • Cold water injection experiments into high-temperature granite fractures under real triaxial conditions are carried out and analyzed.

  • The morphological changes of the fracture surface before and after the water impact are compared using morphological scanning.

  • The changes of effective stress, Von Mises stress and Tresca stress of rocks are analyzed by using thermo-hydro-mechanical coupling model.

  • Different damage methods and spalling methods of granite fractures are analyzed with experiments and numerical simulation.

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Abbreviations

\(A_{1}\) :

Heat transfer areas of fluid and rock matrix (m2)

\(A_{2}\) :

Heat transfer areas of fluid and fracture matrix (m2)

\(C_{{\text{f}}}\) :

Fluid compression coefficient (1/Pa)

\(c_{{\text{p,f}}}\) :

Isobaric heat capacity of the working fluid [J/(kg °C)]

\(c_{{\text{p,s}}}\) :

Isobaric heat capacity of the rock matrix [J/(kg °C)]

\(E\) :

Young’s modulus (Pa)

\(F_{i}\) :

Volumetric force component (N/m3)

\(g\) :

Gravitational acceleration vector (m/s2)

\(h_{f1}\) :

Convective heat transfer coefficients of fluid and rock matrix [W/(m2 °C)]

\(h_{f2}\) :

Convective heat transfer coefficients of fluid and fracture matrix [W/(m2 °C)]

\(k_{{\text{F}}}\) :

Fracture permeability (m2)

\(K_{{\text{S}}}\) :

Volume modulus of the rock skeleton material (Pa)

\(p\) :

Pore pressure (Pa)

\(Q_{{\text{sm, fF}}}\) :

Heat transfer from rock matrix to fracture fluid (W/m3)

\(Q_{{\text{sm, sF}}}\) :

Heat transfer from the rock matrix to the fractured matrix (W/m3)

\(Q_{{\text{sF, fF}}}\) :

Heat transfer from the fractured matrix to the fracture fluid (W/m3)

\(S\) :

Comprehensive water storage coefficient (1/Pa)

\(t\) :

Time (s)

\(T_{{\text{f}}}\) :

Fluid temperature (°C)

\(T_{{{\text{sm}}}}\) :

Rock matrix temperature (°C)

\(T_{{{\text{sF}}}}\) :

Fracture matrix temperature (°C)

\(T_{0}\) :

The initial temperature of the rock (°C)

\(u\) :

The velocity of the fluid (m/s)

\(\upsilon_{i}\) :

Displacement component (m)

\(\mu_{{\text{f}}}\) :

Fluid dynamic viscosity (Pa s)

\(\sigma_{{\text{e}}}\) :

Rock effective stress (Pa)

\(\sigma_{ij}\) :

Stress component (Pa)

\(\sigma_{{{\text{tre}}}}\) :

Tresca stress (Pa)

\(\sigma_{{{\text{von}}}}\) :

Von Mises stress (Pa)

\(\sigma_{1}\) :

The first principal stresses (Pa)

\(\sigma_{2}\) :

The second principal stresses (Pa)

\(\sigma_{3}\) :

The third principal stresses (Pa)

\(\nu\) :

Poisson’s ratio

\(\delta_{ij}\) :

Cronek symbol

\(\varphi_{{\text{F}}}\) :

Fracture porosity

\(\lambda_{{{\text{eff}}}}\) :

Equivalent thermal conductivity of fractures [W/(m °C)]

\(\lambda_{{\text{s}}}\) :

Rock matrix thermal conductivity [W/(m °C)]

\(\left( {\rho c_{{\text{p}}} } \right)_{{{\text{eff}}}}\) :

Fracture equivalent volume heat capacity [J/(m3 °C)]

\(\rho_{{\text{f}}}\) :

Fluid density (kg/m3)

\(\rho_{{\text{s}}}\) :

Rock matrix density (kg/m3)

\(\varepsilon_{ij}\) :

Strain component

\(\alpha_{{\text{B}}}\) :

Biot–Willis coefficient

\(\alpha_{{\text{T}}}\) :

The thermal expansion coefficient of rocks (1/°C)

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Acknowledgements

The authors would like to acknowledge the National Natural Science Foundation of China (Grant No. 52104034), the Major Program of the National Natural Science Foundation of China (Grant No. 52192624), the National Key R&D Program of China (Grant No. 2018YFB1501804), the Foundation of State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Bei**g (Grant No. PRP/open-2110).

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FX: Methodology, Experiment, Validation, Writing-original draft, Data curation. YS: Investigation, Writing-review and editing, Data curation, Formal analysis. XS: Conceptualization, Resources, Writing-original draft, Writing-review. GL: Conceptualization, Resources, Writing-review. ZS: Writing-review and editing, Experiment. SL: Writing-original draft, Experiment.

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Correspondence to Yu Shi.

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Xu, F., Shi, Y., Song, X. et al. The Characteristics and Laws of Fracture Damage in the Long-Term Production Process of High-Temperature Geothermal Resources. Rock Mech Rock Eng 56, 275–299 (2023). https://doi.org/10.1007/s00603-022-03098-x

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