Estimating specific surface area and cation exchange capacity in soils using fractal dimension of particle-size distribution

Abstract Fractal scaling has been proposed as a method to evaluate spatial variability of soil properties. Fractal scaling of particle-size distribution, which controls many dynamic and static processes such as transmission of water and solutes, water holding capacity, heat storage and conductivity, etc., has been widely studied. We evaluated surface fractal dimensions for particle-size distributions, D s , and their relation to specific surface area, SSA, and cation exchange capacity, CEC, for 22 soils with textures, ranging from sandy loam to clay, derived from distinct parent materials under diverse soil forming processes in central Anatolia, Turkey. Values of D s ranged from 2.45 to 2.94, finer textures giving greater D s values. Relationships between D s and SSA or CEC were successfully described by second degree polynomial regression equations ( R 2  = 0.76 and 0.74 for SSA and CEC, respectively). The results revealed that D s can be used as an integrating index in estimating the SSA and the CEC of soils from particle-size distribution, which can be useful in modeling studies.

[1]  G. Campbell,et al.  Characterization of Particle-Size Distribution in Soils with a Fragmentation Model , 1999 .

[2]  L. E. Scriven,et al.  Hydraulic Conductivity of Porous Media at Low Water Content , 1990 .

[3]  G. Gee,et al.  Particle-size Analysis , 2018, SSSA Book Series.

[4]  W. Bleam The Nature of Cation-Substitution Sites in Phyllosilicates , 1990 .

[5]  E. Perfect,et al.  Fractal Theory Applied to Soil Aggregation , 1991 .

[6]  R. A. Shcherbakov,et al.  SCALING OF SOIL WATER RETENTION USING A FRACTAL MODEL , 1995 .

[7]  E. Perfect,et al.  Fractal Dimensions of Soil Aggregate‐size Distributions Calculated by Number and Mass , 1992 .

[8]  Martin Thullner,et al.  The relationship between fractal properties of solid matrix and pore space in porous media , 2005 .

[9]  E. O. Mclean Soil pH and Lime Requirement , 1982 .

[10]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[11]  Susan E. Powers,et al.  Models for Estimating Soil Particle-Size Distributions , 2002 .

[12]  G. Sposito The Chemistry of Soils , 2008 .

[13]  E. Perfect,et al.  Fractal Characterization of Soil Aggregation and Fragmentation as Influenced by Tillage Treatment , 1997 .

[14]  Guanhua Huang,et al.  Evaluation of soil water retention curve with the pore–solid fractal model , 2005 .

[15]  Scott W. Tyler,et al.  Fractal processes in soil water retention , 1990 .

[16]  Wenzhi Zhao,et al.  Fractal features of soil particle size distribution and the implication for indicating desertification , 2004 .

[17]  Garrison Sposito,et al.  Fractal Fragmentation, Soil Porosity, and Soil Water Properties: I. Theory , 1991 .

[18]  G. Bouyoucos THE HYDROMETER AS A NEW AND RAPID METHOD FOR DETERMINING THE COLLOIDAL CONTENT OF SOILS , 1927 .

[19]  Scott W. Tyler,et al.  Fractal scaling of soil particle-size distributions: analysis and limitations , 1992 .

[20]  W. Rawls,et al.  Predicting Saturated Hydraulic Conductivity Utilizing Fractal Principles , 1993 .

[21]  Yongfu Xu Calculation of unsaturated hydraulic conductivity using a fractal model for the pore-size distribution , 2004 .

[22]  A. Klute Methods of soil analysis. Part 1. Physical and mineralogical methods. , 1988 .

[23]  Scott W. Tyler,et al.  Application of Fractal Mathematics to Soil Water Retention Estimation , 1989 .

[24]  Edith Perrier,et al.  Generalizing the fractal model of soil structure : the pore-solid fractal approach , 1999 .

[25]  H. Millán,et al.  On the fractal scaling of soil data. Particle-size distributions , 2003 .

[26]  Walter J. Rawls,et al.  Fractal models for predicting soil hydraulic properties: a review , 1997 .

[27]  M. Kleber,et al.  Predicting carbon content in illitic clay fractions from surface area, cation exchange capacity and dithionite‐extractable iron , 2002 .

[28]  F. Nachtergaele Soil taxonomy—a basic system of soil classification for making and interpreting soil surveys: Second edition, by Soil Survey Staff, 1999, USDA–NRCS, Agriculture Handbook number 436, Hardbound , 2001 .

[29]  Garrison Sposito,et al.  Fractal Fragmentation, Soil Porosity, and Soil Water Properties: II. Applications , 1991 .

[30]  Garrison Sposito,et al.  The surface chemistry of soils , 1984 .

[31]  D. Kleinbaum,et al.  Applied regression analysis and other multivariable methods, 3rd ed. , 1998 .

[32]  Jack F. Paris,et al.  A Physicoempirical Model to Predict the Soil Moisture Characteristic from Particle-Size Distribution and Bulk Density Data 1 , 1981 .

[33]  D. W. Nelson,et al.  Total Carbon, Organic Carbon, and Organic Matter , 1983, SSSA Book Series.

[34]  L. Ahuja,et al.  Use of Brooks-Corey Parameters to Improve Estimates of Saturated Conductivity from Effective Porosity , 1999 .

[35]  D. Kleinbaum,et al.  Applied Regression Analysis and Other Multivariate Methods , 1978 .

[36]  P. Koorevaar,et al.  Elements of soil physics , 1985 .

[37]  A. Lutenegger,et al.  Determination of Surface Area of Fine-Grained Soils by the Ethylene Glycol Monoethyl Ether (EGME) Method , 2002 .

[38]  D. W. Nelson,et al.  Total Carbon, Organic Carbon, and Organic Matter 1 , 1982 .