对于岩石的内耗行为,通常采用Cole-Cole分布的Debye模型进行解释。然而该模型仅能用于解释均匀介质的弛豫耗散过程,对于具有复杂结构的、含有孔隙流体的饱和岩石是不完全合适的。比如低频内耗实验数据就明显不符合该模型,不具有对称“圆弧”型的实模量-虚模量曲线。提出岩石介质中存在地震波波致流体流动的渗透率弛豫尺度效应,可以弥补含Cole-Cole分布Debye模型的不足。岩石内耗实验数据分析显示,所有饱和多孔岩石实模量-虚模量关系曲线均具有相同的高、低温段不对称圆弧型规律,尤其在低温端圆弧曲线散开上扬,随着频率增高,上扬程度加剧。这一现象是微裂隙非均匀岩石的渗透率弛豫尺度效应特征的实验证据,它有助于更好、更深入刻画流体饱和岩石的弛豫耗散机制,拓展改进模型,合理解释实验数据,对饱和流体岩石弛豫过程进行相关的预测研究,还有望从实验数据中提取有关岩石非均匀尺度结构信息。
It is known that viscous and inertial coupling between the frame of a porous rock and its pore fluid dissipates seismic energy by conversion to heat and hence will cause attenuation. Cole-Cole distribution modified Debye model is always used to explain the internal friction of rock. However, this model is suitable only for homogeneous medium, not quite suitable for complex fluid saturated porous rock medium. Obviously, internal friction experimental data under low frequency condition are not coincident with Cole-Cole distribution modified Debye model. Their Re-Ira modulus curves do not have the common "arc-shaped" features represented by Debye model. It is suggested that the behaviours of Re-Im modulus curves can be explained by permeability scale effect in wave-induced fluid relaxation of porous rock medium, which is necessary to be extension to Cole-Cole distribution modified Debye model. Internal friction experimental data show that all the Im-Re curves are alike, with same asymmetric arc-shaped form in both high and low temperature. Especially in low temperature, the curves separate and ascend, and ascend more acutely as the frequency increases. That's a certain evidence of permeability scale effect in fluid relaxation of heterogeneous rocks with micro-cracks. It can be used to improve methods of geological interpretation of acoustical and seismic data and helps to improve the model containing relaxation mechanism of saturated rocks, and to explain the relevant experimental data reasonably. Based on research of predictive model of the relaxation behaviours of fluid saturated rocks, multi-scale structural information about the heterogeneous rocks may be picked up from the experimental data.