Colloidal aggregation is quantitatively characterized by a rheological analysis of the colloidal suspension at various particle concentrations. The rheological analysis is combined with fractal concept to estimate the compactness, size, and size variation with shear stress on colloidal aggregates. The rheological measurement is carried out for a colloidal suspension of 24 nm carbon black particles suspended in ethylene glycol. The particle concentration ranges from 6.0 to 8.5 percent in volume, which is non-dilute regime where colloidal gelation occurs. Elastic modulus behavior with the particle concentration provides fractal dimension of aggregates. With the fractal dimension, concentration-dependent shear stress behavior is used to estimate aggregate size and its variation with shear stress through a rheological modeling. The estimated fractal dimension of aggregate is 2.020 and the average aggregate size exponentially decreases with the shear rate in the range 1152.24 nm at 1 s⁻¹ to 150.00 nm at 1000 s⁻¹. These estimations are compared with those from optical measurement using static small-angle X-ray scattering (SAXS) technique. The SAXS analysis gives the fractal dimension of 2.495 and the average aggregate size is 320.56 nm. It is found that the optical measurement gives slightly higher fractal dimension and the aggregate size is numerically close to that predicted one around the shear rate 68.7 s⁻¹ where steep size reduction turns into being slow.

胶体聚集通过在各种颗粒浓度下对胶体悬浮液的流变学分析进行定量表征。流变分析与分形概念相结合，以估计胶体聚集体的致密性，尺寸和尺寸随剪切应力的变化。对悬浮在乙二醇中的24 nm炭黑颗粒的胶体悬浮液进行流变测量。颗粒浓度范围为体积的6.0％至8.5％，这是发生胶体凝胶化的非稀释状态。颗粒浓度下的弹性模量行为提供了聚集体的分形维数。对于分形维数，通过流变模型，使用浓度相关的剪切应力行为来估计骨料尺寸及其随剪切应力的变化。^-1至150.00 nm在1000 s ^-1。将这些估计与使用静态小角度X射线散射（SAXS）技术进行光学测量得到的估计进行比较。SAXS分析的分形维数为2.495，平均聚集体大小为320.56 nm。发现光学测量给出了稍微更高的分形维数，并且聚集体尺寸在数值上接近于剪切速率68.7 s ^-1附近的预测尺寸，在该处剪切尺寸急剧变慢。