Hudson模型适用性及储层微观建模应用*

为明确裂缝间相互作用对各向异性的影响，本文以Hudson模型为例分析了裂缝密度、裂缝倾角对地震波波场、弹性常数和Thomsen系数的影响规律，然后采用“基质-骨架-流体”组合化的方法进行了裂缝储层微观尺度的建模，并与实际测井资料进行了对比。结果表明该模型适用条件为低裂缝密度储层，二阶模型适用的裂缝密度范围比一阶模型大，但在裂缝密度过大时，二阶模型会出现不收敛的现象，模型便不再适用。裂缝储层纵横波速度随裂缝倾角增大而增大，纵波速度对裂缝倾角更为敏感。另外，在与实际测井曲线对比时，在高裂缝密度地层二阶模型的应用效果明显优于一阶模型，说明了在高裂缝密度储层考虑裂缝间的相互作用的必要性。

Hudson model applicability and its application to reservoir micro modeling

To clarify the effect of interactions between fractures on anisotropy, this paper analyzes the effects of fracture density and dip on the snapshot, elastic constants and Thomsen parameters by using Hudson model as an example, then applies "solid-matrix-fluid" combination method to fractured reservoirs microscale modelling and compares the results with measured logging data. The results show Hudson model is applicable to low fracture density reservoirs, and the second-order is applicable to a wider range of fracture densities than the first-order model, but when the fracture density is too high, the second-order model will not converge and no longer be used. The P- and S-wave velocity of the increase as the dip increases, and the P-wave velocity is more sensitive to the fracture dip. In addition, the comparison with measured logging data shows the second-order is more accurate than first-order model for higher fracture density, suggesting consideration of fracture interactions is necessary in high fracture density reservoirs.