Acoustic, resistivity and nuclear magnetic resonance (NMR) logging are important means of reservoir evaluation. In this paper, the information of pore structure, such as the aspect ratio and the shape, is obtained by rock physical experiments like constant velocity mercury injection and casting thin section. Taking pore structure information as a link, the theoretical relations among acoustic-NMR, acoustic-resistivity and resistivity-NMR of rocks are studied, respectively, based on the differential equivalent model and fractal theory, and the theoretical derivation results are verified by AE acoustic emission experiment, rock resistivity experiment and NMR experiment. It is found that there is a power function relationship between the P/S wave velocity and the geometric mean value of NMR T₂. Moreover, there are also power function relationships between the slowness of P/S wave and resistivity, and between the value of NMR T₂ and the increase rate of resistance. Based on the above relationship, the gas reservoir can be identified by acoustic-resistivity-NMR multi-parameters in well G of the study area. Compared with the conventional P/S velocity ratio and P-wave slowness intersection method, the separation effect of gas and water is more obvious.

声波，电阻率和核磁共振（NMR）测井是评价储层的重要手段。本文通过等速注汞，薄壁铸造等岩石物理实验，获得了长径比和形状等孔隙结构信息。以微分当量模型和分形理论为基础，以孔隙结构信息为纽带，分别研究了岩石的声波核磁共振，声波电阻率和电阻率核磁共振的理论关系，并通过声声法验证了理论推导结果。发射实验，岩石电阻率实验和NMR实验。发现P / S波速与NMR T ₂的几何平均值之间存在幂函数关系。此外，在P / S波的慢度与电阻率之间，以及NMR T ₂的值与电阻的增加率之间也存在幂函数关系。基于以上关系，可以通过研究区G井的声阻抗率-NMR多参数来识别储气层。与常规的P / S速度比和P波慢度交会法相比，气水分离效果更加明显。