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Estimating Particle-Size Distribution from Limited Soil Texture Data

T. H. Skaggs*, L. M. Arya, P. J. Shouse and B. P. Mohanty

George E. Brown, Jr. Salinity Lab., 450 W. Big Springs Rd., Riverside, CA 92507



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Fig. 1. Particle-size classification system used in this study. The system differs from the USDA system only in that particle-size is expressed in terms of the particle radius (instead of diameter) and the units are micrometers (instead of mm).

 


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Fig. 2. The USDA soil texture classification system (top) and the range of soil textures covered in this study (bottom).

 


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Fig. 3. Estimated and fitted distributions for selected particle-size data. In each plot, the solid line is the estimate given by Eq. [4] and the dashed line is the fitted distribution P defined by Eq. [8]. The circles are the measured particle-size data, with the three filled circles in each plot corresponding to the values used as input in Eq. [4]: cl, cl + si, and cl + si + fvfs. Table 1 contains parameter and goodness-of-fit values for each plot. cl, clay fraction; fvfs, fine plus very fine sand fraction; si, silt fraction.

 


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Fig. 4. Histograms of the average absolute deviations AAD (top) and AADP (bottom).

 


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Fig. 5. Histograms of the maximum absolute deviations MAD (top) and MADP (bottom).

 


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Fig. 6. Illustration of the average absolute deviation (AAD) obtained for each soil. The size of a point is proportional to AAD, with the largest value being AAD = 12.8%. The plot demonstrates that was a poor estimate of the particle-size distribution whenever the silt mass fraction was greater than about 70%.

 


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Fig. 7. The data and model distributions from Fig. 3 replotted to illustrate the linear relationship that is indicated by Eq. [2]. In these plots data can be shown only for r > r0 and P(r) < 1. The two filled circles in each plot correspond to the cl + si and cl + si + fvfs values used as input in Eq. [4]. cl, clay fraction; fvfs, fine plus very fine sand fraction; si, silt fraction.

 





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