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ESTIMATION OF APPROXIMATION ERRORS IN REPRESENTING REAL PARTICLE DIMENSIONS WITH EQUIVALENT DIAMETERS IN SEDIMENTATION ANALYSIS
Abstract
Accurate representation of particle dimensions is essential for reliable sedimentation analysis and assessment of settling dynamics. The use of equivalent diameters-such as Stokes, Feret, and volume-based diameters-introduces approximation errors when replacing real particle dimensions, especially for irregularly shaped particles. This study quantifies these errors by capturing high-resolution 2D images of particles within a bentonite, commonly found in bentonite suspensions characteristic of those occurring in riverine environments, and measuring real particle dimensions. Several equivalent diameters are then calculated to evaluate their effectiveness in approximating true particle sizes. The methodology involves a systematic comparison between real particle dimensions and each equivalent diameter, focusing on error margins associated with each approximation method. Results demonstrate variations in accuracy across different equivalent diameters, providing insights into which parameters best minimize error in sedimentation applications. These findings contribute to more precise sedimentation analyses and support optimized predictions of particle behavior in practical applications.
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