中文摘要：

实验室岩石趋肤深度分析有助于推断野外电磁法勘探深度.天然多孔岩石孔隙结构十分复杂,往往具有分形特征.研究表明,岩石的分形结构影响其电性特征,岩石的不同电性特征决定趋肤深度大小.本文分析综述了岩石电性特征的频率相关性及电性分形模型与趋肤深度的关系,发现趋肤深度δ与频率f之间存在幂律关系δ∝f-φ（指数φ反映岩石的分形结构特征对趋肤深度的影响）;在低频时建立了趋肤深度与岩石的分形维数和电磁波频率、孔隙度和孔隙溶液电导率的分形解析模型,结果表明趋肤深度随着分形维数的增大而减小.由于岩石结构非均质性影响,野外勘查得到的电磁波趋肤深度往往小于实验室得到的趋肤深度.最后对电磁波在岩石中趋肤深度的研究做了总结和展望.

英文摘要：

The analysis of skin depth of rocks in laboratory contributes to the extrapolation of the electromagnetic field exploration depth.The internal structures of natural porous rock are complex, which are often fractals.Experimental studies have shown that fractal structures of rocks can affect their electrical properties and different electrical properties of rocks can determine the skin depth value.This review analyzed the frequency relativity of the electrical properties,and the relationship between the fractal model of electrical properties and the skin depth are that found the skin depthδhas a powerlaw dependence on frequency fbyδ∝f-φ（φindicates how the fractal structures of rocks affect skin depth）;The skin depth is a fractal function of fractal dimension of rocks,electromagnetic frequency,porosity and conductivity of solution at a low frequency range,which also indicates the skin depth increases with the decreasing of fractal dimension.The heterogeneous property of rocks reduces the depth resolution of field exploration toward the laboratory measurement. A few comments are also made on the future research directions and possible subjects on the study of skin depth of electromagnetic wave in rocks.