The best mathematical models describing particle size distribution of soils

Modeling Earth Systems and Environment

Volumn 2, Issue 4, 2016, Pages 1-11

  Esmaeelnejad, Leila ^a   Siavashi, Fatemeh ^a   Seyedmohammadi, Javad ^b   Shabanpour, Mahmood ^c  

^a UNIVERSITY OF TEHRAN   (Iran)

^b UNIVERSITY OF TABRIZ   (Iran)

^c UNIVERSITY OF GUILAN   (Iran)

Author keywords

Fitting ability; Fredlund; Soil particle size distribution; Textural groups; Weibull model

Indexed keywords

ACCURACY ASSESSMENT; CLAY SOIL; LOAM; NUMERICAL MODEL; PARTICLE SIZE; SOIL PROPERTY; WEIBULL THEORY;

IRAN;

EID: 85051532666     PISSN: 23636203     EISSN: 23636211     Source Type: Journal    
DOI: 10.1007/s40808-016-0220-9     Document Type: Article

References (37)

1. Bagarello V, Provenzao G, Sgroi A (2009) Fitting particle size distribution models to data from Burundian soils for the BEST procedure and other purposes. Biosyst Eng 104:435–441. doi:10.1016/j.biosystemseng.2009.07.008 DOI: 10.1016/j.biosystemseng.2009.07.008
2. Bah AR, Kravchuk O, Kirchhof G (2009) Fitting performance of particle-size distribution models on data derived by conventional and laser diffraction techniques. Soil Sci Soc Am J 73:1101–1107. doi:10.2136/sssaj2007.0433 DOI: 10.2136/sssaj2007.0433
3. Bayat H, Rastgo M, Mansourizade M, Vereeken H (2015) Particle size distribution models, their characteristics and fitting capability: a review. J Hydol 529:872–889. doi:10.1016/j.jhydrol.2015.08.067 DOI: 10.1016/j.jhydrol.2015.08.067
4. Bittelli M, Campbell GS, Flury M (1999) Characterization of particle-size distribution in soils with a fragmentation model. Soil Sci Soc Am J 63:782–788. doi:10.2136/sssaj1999.634782x DOI: 10.2136/sssaj1999.634782x
5. Botula YD, Cornelis WM, Baert G, Mafuka P, Van Ranst E (2013) Particle size distribution models for soils of the humid tropics. J Soils Sediments 13:686–698. doi:10.1007/s11368-012-0635-5 DOI: 10.1007/s11368-012-0635-5
6. Buchan GD (1989) Applicability of the simple lognormal model to particle-size distribution in soils. Soil Sci 147:155–161. http://journals.lww.com/soilsci/Abstract/1989/03000/APPLICABILITY_OF_THE_SIMPLE_LOGNORMAL_MODEL_TO.1.aspx
7. Buchan GD, Grewal KS, Robson AB (1993) Improved models of particle-size distribution: an illustration of model comparison techniques. Soil Sci Soc Am J 57:901–908. doi:10.2136/sssaj1993.03615995005700040004x DOI: 10.2136/sssaj1993.03615995005700040004x
8. Burnham KP, Anderson DR (2002) Model selection and multi-model inference: a practical information-theoretic approach. Springer Publication, p 488. doi: 10.1007/b97636
9. Campbell GS (1985) Soil physics with basic: transport models for soil-plant systems. Elsevier, Amsterdam
10. Erashin S, Gunal H, Kutlu T, Yetgin B, Coban S (2006) Estimating specific surface area and cation exchange capacity in soils using fractal dimension of particle-size distribution. Geoderma 136(3):588–597. doi:10.1016/j.geoderma.2006.04.014 DOI: 10.1016/j.geoderma.2006.04.014
11. Everitt BS, Landau S, Leese M (2001) Cluster analysis. 4th edn. Arnold, Taylor and Francis Publication, p 237
12. Fredlund MD, Fredlund DG, Wilson GW (2000) An equation to represent grain size distribution. Can Geotech J 37:817–827. doi:10.1139/t00-015 DOI: 10.1139/t00-015
13. Gee GW, Or D (2002) Particle size analysis. Methods Soil Anal Part 4:255–293
14. Gimenez D, Rawls WJ, Pachepsky Y, Watt JPC (2001) Prediction of a pore distribution factor from soil textural and mechanical parameters. Soil Sci 166:79–88. http://journals.lww.com/soilsci/toc/2001/02000
15. Gracza R (1962) Average particle size and specific surface of flours and air classified flour fractions. Cereal Sci Today 7:272
16. Hagen L, Skidmore E, Fryrear D (1987) Using two sieves to characterize dry soil aggregate size distribution. Trans Am Soc Agric Eng 30(1):162–165. doi:10.13031/2013.30420 DOI: 10.13031/2013.30420
17. Haverkamp R, Parlange JY (1986) Predicting the water-retention curve from a particle size distribution: 1. Sandy soils without organic matter. Soil Sci 142:325–339 DOI: 10.1097/00010694-198612000-00001
18. Hwang SI (2004) Effect of texture on the performance of soil particle-size distribution models. Geoderma 123:363–371. doi:10.1016/j.geoderma.2004.03.003 DOI: 10.1016/j.geoderma.2004.03.003
19. Hwang SI, Hong SP (2006) Estimating relative hydraulic conductivity from log-normally distributed particle-size data. Geoderma 133:421–430. doi:10.1016/j.geoderma.2005.08.006 DOI: 10.1016/j.geoderma.2005.08.006
20. Hwang SI, Lee KP, Powers SE (2002) Models for estimating soil particle-size distributions. Soil Sci Soc Am J 66:1143–1150. http://www.envsci.rutgers.edu/~gimenez/SoilPhysics/Homework02/Hwang2002.pdf
21. Jaky J (1944) Soil mechanics. (In Hungarian.) Egyetemi Nyomada, Budapest
22. Lima JEFW, Silva EM (2007) Selecao de modelos para o tracado de curvas granulometricas de sedimentos em suspensao em rios. Rev Bras Eng Agric Ambient 11:101–107. http://www.scielo.br/pdf/rbeaa/v11n1/v11n1a13.pdf
23. Nemes A, Wosten JHM, Lilly A, Voshaar JHO (1999) Evaluation of different procedures to interpolate particle-size distributions to achieve compatibility within soil databases. Geoderma 90:187–202. doi:10.1016/S0016-7061(99)00014-2 DOI: 10.1016/S0016-7061(99)00014-2
24. Nimmo J (2004) Porosity and pore size distribution. Encycl Soils Environ 3:295–303. http://wwwrcamnl.wr.usgs.gov/uzf/abs_pubs/papers/nimmo.04.encyc.por.ese.pdf
25. Pasikatan M, Steele J, Milliken G, Spillman C, Haque E (1999) Particle size distribution and sieving characteristics of first-break ground wheat. SABE paper MC99-129. St. Joseph, Mich.: ASABE
26. Posadas AN, Giménez D, Bittelli M, Vaz CM, Flury M (2001) Multifractal characterization of soils particle-size distributions. Soil Sci Soc Am J 65:1361–1367. http://www.dista.unibo.it/~bittelli/articoli/multifractal.pdf
27. Rizea N, Radu L, Rodica L, Store VM, Aldae MM (2009) Reaction buffering capacity of soils in the Zlatna area. Sci Pap Ser A LII, 70–75. http://www.agro-bucuresti.ro/images/Proiecte/2009/11_Reaction_buffering_capacity_of_soils_in_the_Zlatna_Area.pdf
28. Rosin P, Rammler E (1933) The laws of governing the fineness of powdered coal. J Inst Fuel 7:29–36. http://ci.nii.ac.jp/naid/10006950361
29. Shangguan W (2012) An investigation of soil particle-size distribution models for the conversion of soil texture classification from ISSS and Katschinskis to FAO/USDA system. In: Paper presented at PEDOFRACT VII Workshop on scaling in particulate and porous media: modeling and use in predictions, A coruna
30. Shirazi MA, Boersma L (1984) A unifying quantitative analysis of soil texture. Soil Sci Soc Am J 48:142–147. doi:10.2136/sssaj1984.03615995004800010026x DOI: 10.2136/sssaj1984.03615995004800010026x
31. SPSS Inc. (2015) IBM SPSS Statistics for windows. Version 23
32. Su YZ, Zhao WZ, Zhang TH (2004) Fractal features of soil particle size distribution and the implication for indicating desertification. Geoderma 122:43–49. doi:10.1016/j.geoderma.2003.12.003 DOI: 10.1016/j.geoderma.2003.12.003
33. Vereecken H, Weynants M, Javaux M, Pachepsky M, Schaap MG, van Cenuchten MTH (2010) Using pedotransfer functions to estimate the van Genuchten-Mualem soil hydraulic properties: a review. Vadose Zone J 9(4):795–820. doi:10.2136/vzj2010.0045 DOI: 10.2136/vzj2010.0045
34. Vipulanandan C, Ozgurel HG (2009) Simplified relationships for particle-size distribution and permeation groutability limits for soils. J Geotech Geoenviron Eng. doi:10.1061/(ASCE)GT.1943-5606.0000064
35. Weipeng W, Jianli L, Bingzi Z, Jiabao Z, Xiaopeng L, Yifan Y (2015) Critical evaluation of particle size distribution using soil data obtained with a laser diffraction method. PLoS One 10(4):e0125048. doi:10.1371/journal.pone.0125048 DOI: 10.1371/journal.pone.0125048
36. Wraith JM, Or D (1998) Nonlinear parameter estimation using spreadsheet software. J Nat Resour Life Sci Educ 27:13–19. https://www.agronomy.org/files/jnrlse/issues/1998/e96-29.pdf
37. Zhuang J, Jin Y, Miyazaki T (2001) Estimating water retention characteristic from soil particle-size distribution using a non-similar media concept. Soil Sci 166:308–321. http://journals.lww.com/soilsci/Abstract/2001/05000/ESTIMATING_WATER_RETENTION_CHARACTERISTIC_FROM.2.aspx