Fractures have a significant effect on the mechanical properties of coal and rock, and fracture structure is complex. Combinined with indoor physical tests and corresponding numerical simulation tests, the relationships among rock mechanics parameters, cleat complexity, and wave velocity were analysed. Based on the conversion relationships between coal and rock cleat complexity and coal seam fissure complexity, four calculation models of rock mechanics parameters based on coal bed fracture complexity and wave velocity were established. The results indicate that coal with different cleat density, quantity, or angle has noticeable fractal characteristics, and cleat fractal dimension can be used to characterize the cleat complexity. The fractal dimension of deep lateral resistivity curve can characterize the fracture complexity of coal beds. There is a good linear positive correlation between cleat fractal dimension and fractal dimension of deep lateral resistivity logging curve. Velocity and cleat complexity have no significant correlation, and the attenuation coefficient increases with the increase in cleat complexity. Uniaxial compressive strength of coal and rock decrease with the increase in cleat complexity and is more sensitive to the change in cleat angle than to cleat density and cleat quantity changes. Young's modulus of coal and rock decrease with the increase in cleat complexity and is more sensitive to the change in cleat quantity than cleat density or angle changes. Poisson's ratio of coal increase with the increase in cleat complexity and is more sensitive to the change in cleat quantity than cleat density or angle changes. The tensile strength of coal and rock increases with the increase in cleat complexity and is more sensitive to the change of cleat quantity than cleat density and angle changes. Centralized distribution of cleats has more significant influence on the uniaxial compressive strength, Young's modulus, Poisson's ratio, and tensile strength of coal than an even distribution. The calculation models of rock mechanics parameters based on fracture complexity are suitable for the study area. The method of combining the fracture complexity of coal beds with acoustic wave velocity to calculate rock mechanical parameters are feasible.
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