Grouting is a typical HM (hydro-mechanical) coupling process between slurry and rock and widely used in underground engineering to reinforce the strength of fractured rock mass. In present work, based on numerical manifold method (NMM), an NMM-HM grouting model is proposed to investigate slurry flowing and analyze grouting efficiency. In this NMM-HM grouting model, the slurry flows in fractures and grouting pressure can cause fracture aperture variation and fracture propagation. Then, two numerical examples for central embedded crack and hydraulic fracturing are adopted to validate the presented model. Furthermore, grouting simulations are conducted on a multi-crack and a roadway with fracture networks. Results show that Grouting pressure in fractures can increase fracture aperture, which is beneficial for grouting efficiency. However, fluid pressure could also cause closure of neighboring fractures or even fracture propagation and failure of rock mass, which will weaken grouting effectiveness. Therefore, the coupled HM impacts on grouting efficiency and grouting pressure should be seriously considered and optimized to achieve the expected grouting performance in practice.

注浆是泥浆与岩石之间典型的HM（水力-机械）耦合过程，广泛应用于地下工程以增强裂隙岩体的强度。在目前的工作中，基于数值流形法（NMM），提出了一种 NMM-HM 注浆模型来研究泥浆流动和分析注浆效率。在此 NMM-HM 注浆模型中，浆液在裂缝中流动和注浆压力会导致裂缝孔径变化和裂缝扩展。然后，采用中心嵌入裂缝和水力压裂的两个数值例子来验证所提出的模型。此外，灌浆模拟是在多裂缝和具有裂缝网络的巷道上进行的。结果表明，裂缝中的注浆压力可以增大裂缝孔径，有利于提高注浆效率。然而，流体压力还会引起邻近裂缝的闭合甚至裂缝扩展和岩体的破坏，从而削弱注浆效果。因此，在实践中应认真考虑和优化耦合HM对注浆效率和注浆压力的影响，以实现预期的注浆性能。