• The propagation path of hydraulic fractures at coal-measure rock interfaces is jointly controlled by interface strength coefficient (η), interface inclination angle (θ), and vertical stress difference coefficient (k).
• When fractures propagate from soft to hard rock, interface strength dominates; larger η promotes interface penetration, whereas from hard to soft rock, vertical stress difference controls the path, with larger k favoring crossing.
• Interface inclination angle θ influences the vertical stress component; smaller θ facilitates penetration, while larger θ leads to fracture propagation along the interface.
• Fracture network complexity increases with higher k and θ, but the complexity of fracture morphology shows a non-monotonic trend, initially decreasing then increasing with rising k and θ.
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