The wave propagation through a rock system is affected by the rock microstructure and the pore fluid. By considering the rock microstructure, the upper and lower bounds of P-wave modulus can be refined in the inclusion-based effective medium model. However, the effects of patchy saturation and squirt flow are not included. The patchy saturation due to the inhomogeneous distribution of different fluids and the squirt flow induced by wave propagation can lead to a difference in fluid pressures. Thus, we introduce the fluid pressures to the inclusion-based effective medium model to describe the variation of P-wave modulus during the wave propagation. We assume that the fluid pressures mainly generate the variation of the P-wave modulus and update the elastic tensor. By adjusting the model parameter related to effective fluid modulus, the proposed model can keep good consistency with the known boundary models. Finally, we analyze the effect of water saturation, frequency, and the pressure difference of different fluids on P-wave modulus with the proposed model.

波在岩石系统中的传播受岩石微观结构和孔隙流体。通过考虑岩石微观结构，可以在基于包裹体的有效介质模型中细化纵波模量的上下界。但是，不包括不均匀饱和度和喷射流的影响。由于不同流体的不均匀分布和波传播引起的喷射流而导致的片状饱和度会导致流体压力的差异。因此，我们将流体压力引入基于夹杂物的有效介质模型，以描述波传播过程中纵波模量的变化。我们假设流体压力主要产生纵波模量的变化并更新弹性张量。通过调整与有效流体模量相关的模型参数，该模型与已知边界模型保持良好的一致性。最后，