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Research on Strength Prediction Model of Sand-like Material Based on Nuclear Magnetic Resonance and Fractal Theory

机译：基于核磁共振和分形理论的砂材料强度预测模型研究

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Micro-pore structure has a decisive effect on the physical and mechanical properties of porous materials. To further improve the composition of rock-like materials, the internal relationship between microscopic characteristics (porosity, pore size distribution) and macroscopic mechanical properties of materials needs to be studied. This study selects portland cement, quartz sand, silica fume, and water-reducing agent as raw materials to simulate sandstone. Based on the Nuclear magnetic resonance (NMR) theory and fractal theory, the study explores the internal relationship between pore structure and mechanical properties of sandstone-like materials, building a compressive strength prediction model by adopting the proportion of macropores and the dimension of macropore pore size as dependent variables. Test results show that internal pores of the material are mainly macropores, and micropores account for the least. The aperture fractal dimension, the correlation coefficient of mesopores and macropores are quite different from those of micropores. Fractal characteristics of mesopores and macropores are obvious. The macropore pore volume ratio has a good linear correlation with fractal dimension and strength, and it has a higher correlation coefficient with pore volume ratio, pore fractal dimension and other variable factors. The compressive strength increases with the growth of pore size fractal dimension, but decreases with the growth of macropore pore volume ratio. The strength prediction model has a high correlation coefficient, credibility and prediction accuracy, and the predicted strength is basically close to the measured strength.
机译：微孔结构对多孔材料的物理和力学性能具有决定性的影响。为了进一步改善岩状材料的组成，需要研究微观特性（孔隙率，孔径分布）与材料的宏观力学性能之间的内部关系。本研究选择了波特兰水泥，石英砂，二氧化硅烟雾和减水剂作为模拟砂岩的原料。基于核磁共振（NMR）理论和分形理论，该研究探讨了砂岩状材料孔隙结构与机械性能之间的内部关系，通过采用宏观孔的比例和Macropore孔的尺寸来构建压缩强度预测模型大小作为依赖变量。测试结果表明，材料的内部孔主要是宏观，而微孔占据最少。孔径分形尺寸，中孔和大孔的相关系数与微孔的相关系数完全不同。中孔和大孔的分形特征是显而易见的。大孔孔体积比具有与分形尺寸和强度的良好线性相关性，并且具有孔体积比，孔分形维数和其他可变因子具有更高的相关系数。抗压强度随着孔径分形尺寸的生长而增加，但随着大孔孔隙体积比的生长而降低。强度预测模型具有高的相关系数，可信度和预测精度，并且预测的强度基本上接近测量的强度。

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