Estimation of saturated hydraulic conductivity from double‐ring infiltrometer measurements

Summary This research aims to determine soil vertical saturated hydraulic conductivity (Ks) in situ from the measured steady infiltration rate (I), initial soil properties and double-ring infiltrometer (DRI) test data. Characterizing the effects of these variables on the measured steady infiltration rate will enable more accurate prediction of Ks. We measured the effects of the ring diameter, head of ponding, ring depth, initial effective saturation and soil macroscopic capillary length on measured steady infiltration rates. We did this by simulating 864 DRI tests with the finite element program HYDRUS-2D and by conducting 39 full-scale in situ DRI tests, 30 Mini-Disk infiltrometer experiments and four Guelph Permeameter tests. The M5′ model trees and genetic programming (GP) methods were applied to the data to establish formulae to predict the Ks of sandy to sandy-clay soils. The nine field DRI tests were used to verify the computer models. We determined the accuracy of the methods with 30% of the simulated DRI data to compare I/KS values of the finite element models with estimates from the suggested formulae. We also used the suggested formulae to predict the Ks values of 30 field DRI experiments and compared them with values measured by Guelph Permeameter tests. Compared with the GP method, the M5′ model was better at predicting KS, with a correlation coefficient of 0.862 and root mean square error (RMSE) of 0.282 cm s−1. In addition, the latter method estimated Ksvalues of the field experiments more accurately, with an RMSE of 0.00346 cm s−1.

[1]  Fatehnia Milad,et al.  New method for predicting the ultimate bearing capacity of driven piles by using Flap number , 2015 .

[2]  T. C. Olson,et al.  MODEL STUDY OF THE DOUBLE‐RING INFILTROMETER AS AFFECTED BY DEPTH OF WETTING AND PARTICLE SIZE , 1961 .

[3]  M. Fatehnia Automated method for determining infiltration rate in soils , 2015 .

[4]  S. Paran,et al.  Automating double ring infiltrometer with an Arduino microcontroller , 2016 .

[5]  M. Schaap,et al.  ROSETTA: a computer program for estimating soil hydraulic parameters with hierarchical pedotransfer functions , 2001 .

[6]  V. Chowdary,et al.  Study of infiltration process under different experimental conditions , 2006 .

[7]  Mohammad Reza Nikoo,et al.  A Game Theoretic Model for Trading Pollution Discharge Permits in River Systems , 2011 .

[8]  Li Ren,et al.  Assessing the Size Dependency of Measured Hydraulic Conductivity Using Double-Ring Infiltrometers and Numerical Simulation , 2007 .

[9]  E. Youngs Estimating hydraulic conductivity values from ring infiltrometer measurements , 1987 .

[10]  Dimitri P. Solomatine,et al.  Neural networks and M5 model trees in modelling water level-discharge relationship , 2005, Neurocomputing.

[11]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[12]  S A El-Swaify,et al.  Measuring Hydrologic Properties of Soil with a Double-ring Infiltrometer and Multiple-depth Tensiometers1 , 1976 .

[13]  W. R. Gardner,et al.  Comparison of Empirical Relationships between Pressure Head and Hydraulic Conductivity and Some Observations on Radially Symmetric Flow , 1971 .

[14]  Pierce H. Jones,et al.  Analysis of Double-Ring Infiltration Techniques and Development of a Simple Automatic Water Delivery System , 2005 .

[15]  Y. Mualem A New Model for Predicting the Hydraulic Conductivity , 1976 .

[16]  M. J. Sully,et al.  Macroscopic and microscopic capillary length and time scales from field infiltration , 1987 .

[17]  W. R. Gardner SOME STEADY‐STATE SOLUTIONS OF THE UNSATURATED MOISTURE FLOW EQUATION WITH APPLICATION TO EVAPORATION FROM A WATER TABLE , 1958 .

[18]  Amin Elshorbagy,et al.  Estimating Saturated Hydraulic Conductivity Using Genetic Programming , 2007 .

[19]  Estimating soil hydraulic conductivity and macroscopic capillary length from the disk infiltrometer , 1998 .

[20]  L. A. Richards Capillary conduction of liquids through porous mediums , 1931 .

[21]  Yi-Bo Luo,et al.  Buffer Index Effects on Hydraulic Conductivity Measurements Using Numerical Simulations of Double-Ring Infiltration , 2010 .

[22]  D. E. Elrick,et al.  Ponded infiltration from a single ring : I. Analysis of steady flow , 1990 .

[23]  Saeed Samadianfard,et al.  M5 Model Tree and Gene Expression Programming Based Modeling of Sandy Soil Water Movement under Surface Drip Irrigation - TI Journals , 2014 .

[24]  J. Šimůnek,et al.  Uniqueness of Soil Hydraulic Parameters Determined by a Combined Wooding Inverse Approach , 2007 .

[25]  Luc Boullart,et al.  Genetic programming: principles and applications , 2001 .