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Soil Science Society of America Journal 63:1063-1070 (1999)
© 1999 Soil Science Society of America

DIVISION S-1-SOIL PHYSICS

Relationship between the Hydraulic Conductivity Function and the Particle-Size Distribution

Lalit M. Aryaa, Feike J. Leija, Peter J. Shousea and Martinus Th. van Genuchtena

a US Salinity Lab., USDA-ARS, 450 W. Big Springs Rd., Riverside, CA 92507 USA

larya{at}ussl.ars.usda.gov

We present a model to compute the hydraulic conductivity, K, as a function of water content, {theta}, directly from the particle-size distribution (PSD) of a soil. The model is based on the assumption that soil pores can be represented by equivalent capillary tubes and that the water flow rate is a function of pore size. The pore-size distribution is derived from the PSD using the Arya-Paris model. Particle-size distribution and K({theta}) data for 16 soils, representing several textural classes, were used to relate the pore flow rate and the pore radius according to , where qi is the pore flow rate (cm3 s-1) and ri is the pore radius (cm). Log c varied from about -2.43 to about 2.78, and x varied from {approx}2.66 to {approx}4.71. However, these parameters did not exhibit a systematic trend with textural class. The model was used to independently compute the K({theta}) function, from the PSD data for 16 additional soils. The model predicted K({theta}) values from near saturation to very low water contents. The agreement between the predicted and experimental K({theta}) for individual samples ranged from excellent to poor, with the root mean square residuals (RMSR) of the log-transformed K({theta}) ranging from 0.616 to 1.603 for sand, from 0.592 to 1.719 for loam, and from 0.487 to 1.065 for clay. The average RMSR for all textures was 0.878.

Abbreviations: PSD, particle-size distribution • RMSR, root mean square residuals




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