Research Article

Investigation of the Ultrasonic Stimulation Performance on Permeability Enhancement in Coal Seam: Field Tests and In Situ Permeability Evaluation

Table 4

List of symbols.

SymbolDefinition and units

Porosity of coal fracture
Gas pressure in coal fracture (MPa)
The radial distance in coal matrix (m)
Fracture permeability (md)
Permeability coefficient of fracture (m2/(MPa2·s))
Dynamic viscosity of mixed gas (Pa·s)
Universal gas constant (8.314 J/(mol·K))
Temperature of coal mass (K)
Molar mass of mixed gas (kg/mol)
The pressure at standard condition (0.101325 MPa)
Methane density at standard condition
Gas mass transfer item (m3/(m3·s))
Methane density in coal matrix (kg/m3)
Flow coefficient in matrix density flow (m5/(kg·s))
Radius of coal matrix (m)
Cleat compressibility (1/MPa)
Initial permeability coefficient of fracture (m2/(MPa2·s))
Poisson’s ratio
Young’s modulus (MPa)
, Matrix shrinkage constant (MPa; dimensionless)
Initial gas pressure in coal (MPa)
Coal density (kg/m3)
Density of adsorbed methane (kg/m3)
Porosity of coal matrix (dimensionless)
Mass of free methane per unit coal matrix (kg/kg)
Air pressure in roadway space(MPa)
Borehole drainage pressure (MPa)
Langmuir sorption constants (m3/kg; 1/MPa)
Methane pressure in coal fracture (MPa)
Air pressure in coal fracture (MPa)
Methane molar mass (kg/mol)
Length of drainage borehole (m)
Sealing length of the borehole (m)