1 Introduction
1.1 Hydraulic Stimulation in Cave Mining
1.2 Hydraulic Stimulation in ISR Applications
1.3 The Gap
1.4 The Hybrid SCDA-HS Method
2 Methods
2.1 Numerical Simulation of the Hybrid SCDA-HS Method
2.2 Hydro-mechanical Simulation of the Voronoi Grain Structure
2.3 HS Laboratory Experiment
Property | Value % |
---|---|
Mineral distribution (by weight) | |
Quartz | 50.00 |
Orthoclase | 13.00 |
Sodic and intermediate Plagioclase | 16.00 |
Biotite—phlogopite | 15.00 |
Other (Muscovite, Clinochlore, Dolomite) | 6.00 |
Physical properties | |
Bulk density, kg/m3 | 2630.00 |
Porosity, % | 1.20 |
Mechanical properties | |
Young’s modulus, GPaa | 17.13 |
Poisson’s ratioa | 0.24 |
Uniaxial compressive strength (UCS), MPa | 120.94 |
Brazilian tensile strength (BTS), MPa | 6.38 |
3 Numerical Model Assembly and Calibration
3.1 Calibration of Mechanical Properties
Block properties | ||||
---|---|---|---|---|
Mineral | Density (kg/m3) | Young’s modulus (GPa) | Poisson’s ratio | Volume percentage (%) |
Mica (M) | 3050.00 | 11.73 | 0.29 | 16.34 |
Feldspar (F) | 2620.00 | 15.64 | 0.25 | 32.68 |
Quartz (Q) | 2650.00 | 27.37 | 0.21 | 50.98 |
Contact properties | |||||
---|---|---|---|---|---|
Interface | kn (GPa/m) | ks (GPa/m) | φ (°) | c (MPa) | σT (MPa) |
M–M | 79,475.00 | 15,130.00 | 20.25 | 43.16 | 11.20 |
F–F | 113,900.00 | 21,675.00 | 33.75 | 49.80 | 14.56 |
Q–Q | 185,300.00 | 35,105.00 | 40.50 | 56.44 | 17.92 |
M–F | (kn,M + kn,F)/2 | (ks,M + ks,F)/2 | (φ,M + φ,F)/2 | (c,M + c,F)/2 | (σT,M + σT,F)/2 |
M–Q | (kn,M + kn,Q)/2 | (ks,M + ks,Q)/2 | (φ,M + φ,Q)/2 | (c,M + c,Q)/2 | (σT,M + σT,Q)/2 |
F–Q | (kn,F + kn,Q)/2 | (ks,F + ks,Q)/2 | (φ,F + φ,Q)/2 | (c,F + c,Q)/2 | (σT,F + σT,Q)/2 |
Parameter | Laboratory test result | Numerical simulation | Error % | Specimen dimensions (mm) | ||||
---|---|---|---|---|---|---|---|---|
D** | H** | T** | A** | S** | ||||
UCS (MPa) | 120.94^ | 114.46 | 5.11 | 22.50 | 45.00 | – | – | – |
BTS (MPa) | 6.38* | 6.34 | 0.63 | 38.00 | – | 19.00 | – | – |
KIC, NSCB (MPa m1/2) | 1.35# | 1.40 | 3.70 | 50.00 | – | 20.00 | 8.33 | 40.00 |
E (GPa) | 17.13^ | 17.27 | 0.82 | |||||
ν | 0.24^ | 0.23 | 4.16 |
3.2 Calibration of Intact Rock Permeability
Pin | Pout | A | H | μ | L | q̅ | a0 | amax |
---|---|---|---|---|---|---|---|---|
8 MPa | 0 MPa | 3.98 × 10–4 m2 | 0.045 m | 1 × 10–3 Pa.s | 0.145 m | 1.45 × 10–11 m2 | 2 × 10–7 m | 3 × 10−5 m |
4 Fracture Simulations in 3DEC
4.1 SCDA Charging and Hydraulic Fracture Numerical Simulation
Block properties | ||
---|---|---|
Density (kg/m3) | Young’s modulus (GPa) | Poisson’s ratio |
2600 | 57.00 | 0.22 |
Contact properties | ||||
---|---|---|---|---|
kn (GPa/m) | ks (GPa/m) | φ | C (MPa) | σT (MPa) |
217,600.00 | 41,344.00 | 30.00 | 68.00 | 16.00 |
4.2 HS Model Verification in 3DEC
4.3 The Hybrid SCDA-HS Method in the Granular Assembly
5 Results and Discussion
5.1 SCDA Pre-conditioning
Case | X (MPa) | Y (MPa) | Z (MPa) | Stress ratio (XY plane) |
---|---|---|---|---|
1 | 1.00 | 1.00 | 1.00 | 1.0 |
2 | 2.50 | 5.00 | 1.00 | 2.0 |
3 | 5.00 | 5.00 | 1.00 | 1.0 |
4 | 1.00 | 5.00 | 1.00 | 5.0 |