中文摘要：

根据岩石孔隙的分形特性及毛管理论，建立核磁共振T2谱与电阻率指数的幂指数关系，结合岩石物理实验数据定量分析孔隙结构对导电特性的影响。结果表明：核磁共振T2随着电阻率指数I的增大而呈幂指数减小，核磁拟合指数与饱和度指数呈良好的正相关；T2谱与电阻率指数的对应性研究为岩电参数尤其是饱和度指数的分析提供了定量依据。

英文摘要：

The power function relationship between nuclear magnetic resonance （NMR） T2 specturm and resistivity index was established on the basis of fractal property of core and capillary bundle theory. Quantitative descriptions between pore structure and conducitivity propery were investigated by combination of theory and petrophysical data. The ：results show that NMR T2 bears favourable power function relationship with resistivity,which decreases with the increase of resistivity inedx. The NMR T2 fitted exponent bears favourable linear relationship with saturation exponent,which increases with the increase of saturation ex- ponent. The corresponence investigation between NMR T2 and resistivity index gives quantitative analysis for Archie parame-ters,especially for saturation exponent.