Abstract
Unsaturated soils permeability (\( K_{\text{unsat}} \)) is a required parameter when modeling water flow and transport processes in the subsurface. Having highly nonlinear relationship with volumetric water content (θw) and suction (S), the value of \( K_{\text{unsat}} \) varies by several magnitudes when moving from clayey to gravel soils. On the other hand, determination of \( K_{\text{unsat}} \) is very difficult, costly, and time consuming. Recently, adaptive neuro-fuzzy inference system (ANFIS) has been used for modeling and prediction of such complex and nonlinear problems. Investigated in this paper is the capability of ANFIS for modeling \( K_{\text{unsat}} \). The database used in ANFIS modeling is collected from SoilVision. This database contains 4347 \( K_{\text{unsat}} \) test records on 245 soil types collected from all around the world; it approximately covers triangular chart defined by US Department of Agriculture System for classifying mixed soils. In order to get the optimum number of ANFIS training epochs and ANFIS structure, trial and error method was used. To check the predictive capacity of the ANFIS model, several statistics such as determination coefficient (R2), Root Mean Square Error, Mean Absolute Error and Variance Account For were calculated. The results demonstrated that the ANFIS model can be successfully applied for prediction of \( K_{\text{unsat}} \).
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References
Abolpour B, Javan M, Karamouz M (2007) Water allocation improvement in river basin using adaptive neural fuzzy reinforcement learning approach. Appl Soft Comput 7:265–285
Agus SS, Leong E-C, Rahardjo H (2005) Estimating permeability functions of Singapore residual soils. Eng Geol 78:119–133
Alvarez Grima M, Babuška R (1999) Fuzzy model for the prediction of unconfined compressive strength of rock samples. Int J Rock Mech Min Sci 36:339–349
Bicalho KV, Znidarcic D, Ko H-Y (2000) Air entrapment effects on hydraulic properties. Geotechnical Special Publication, pp 517–528
Bicalho K, Znidarcic D, Ko H (2005) An experimental evaluation of unsaturated hydraulic conductivity functions for a quasi-saturated compacted soil. In: Proceedings of the international symposium on advanced experimental unsaturated soil mechanics, Trento, Italy, 27–29 June 2005. CRC Press, pp 325–329
Chandwani V, Vyas SK, Agrawal V, Sharma G (2015) Soft computing approach for rainfall-runoff modelling: a review. Aquat Procedia 4:1054–1061
Chang F-J, Chang Y-T (2006) Adaptive neuro-fuzzy inference system for prediction of water level in reservoir. Adv Water Res 29:1–10
Chiu S (1994) A cluster extension method with extension to fuzzy model identification. In: IEEE fuzzy systems, pp 1240–1245
Chiu T-F, Shackelford CD (1998) Unsaturated hydraulic conductivity of compacted sand-kaolin mixtures. J Geotech Geoenviron Eng 124:160–170
Daniel D (1983) Permeability test for unsaturated soil. ASTM Geotech Test J 6:81–86
Doussan C, Jouniaux L, Thony J-L (2002) Variations of self-potential and unsaturated water flow with time in sandy loam and clay loam soils. J Hydrol 267:173–185
Fredlund DG (2000) The 1999 RM Hardy Lecture: the implementation of unsaturated soil mechanics into geotechnical engineering. Can Geotech J 37:963–986
Fredlund DG, Rahardjo H (1993) Soil mechanics for unsaturated soils. Wiley, New York
Fredlund DG, Xing A (1994) Equations for the soil–water characteristic curve. Can Geotech J 31:521–532
Fredlund DG, Rahardjo H, Fredlund MD (2012) Unsaturated soil mechanics in engineering practice. Wiley, New York
Hamilton J, Daniel D, Olson R (1981) Measurement of hydraulic conductivity of partially saturated soils. Permeability and groundwater contaminant transport. ASTM STP 746:182–196
Hashemi Jokar M, Mirasi S (2017) Using adaptive neuro-fuzzy inference system for modeling unsaturated soils shear strength. Soft Comput. https://doi.org/10.1007/s00500-017-2778-1
Hayek M (2015) An analytical model for steady vertical flux through unsaturated soils with special hydraulic properties. J Hydrol 527:1153–1160
Hillel D (1982) Introduction to soil physics. Academic Press, New York, p 364
Hillel D, Krentos V, Stylianou Y (1972) Procedure and test of an internal drainage method for measuring soil hydraulic characteristics in situ. Soil Sci 114:395–400
Jang J, Sun C, Mizutani E (1997) Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence. Prentice-Hall, Englewood Cliffs, NJ
Kaymak U, Babuska R (1995) Compatible cluster merging for fuzzy modelling. In: Fuzzy systems, 1995. International joint conference of the fourth IEEE international conference on fuzzy systems and the second international fuzzy engineering symposium, proceedings of 1995 IEEE International, vol 2, pp 897–904
Klute A (1972) The determination of the hydraulic conductivity and diffusivity of unsaturated soils. Soil Sci 113:264–276
Lu N, Likos WJ (2004) Unsaturated soil mechanics. Wiley, New York
Mbonimpa M, Bédard C, Aubertin M, Bussière B (2004) A model to predict the unsaturated hydraulic conductivity from basic soil properties. In: 57th Canadian geotechnical conference
Meerdink J, Benson C, Khire M (1996) Unsaturated hydraulic conductivity of two compacted barrier soils. J Geotech Eng 122:565–576
Mualem Y (1976) A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour Res 12:513–522
Olson R, Daniel D (1981) Measurement of the hydraulic conductivity of fine-grained soils. In: Permeability and groundwater contaminant transport. ASTM STP 746, pp 18–64
Pal NR, Bezdek JC (1995) On cluster validity for the fuzzy c-means model. IEEE Trans Fuzzy Syst 3:370–379
Pradhan B, Sezer EA, Gokceoglu C, Buchroithner MF (2010) Landslide susceptibility mapping by neuro-fuzzy approach in a landslide-prone area (Cameron Highlands, Malaysia). IEEE Trans Geosci Remote Sens 48:4164–4177
Rahimi A, Rahardjo H, Leong E-C (2015) Effect of range of soil–water characteristic curve measurements on estimation of permeability function. Eng Geol 185:96–104
Smith GN (1986) Probability and statistics in civil engineering: an introduction. Collins, London
SoilVision SL (2005) SoilVision: a knowledge-based database system for saturated/unsaturated soil properties, version 4.14. SoilVision Systems Ltd, Saskatoon
Takagi T, Sugeno M (1985) Fuzzy identification of systems and its applications to modeling and control. IEEE Trans Syst Man Cybern 15:116–132
Talei A, Chua LHC, Wong TS (2010) Evaluation of rainfall and discharge inputs used by adaptive network-based fuzzy inference systems (ANFIS) in rainfall–runoff modeling. J Hydrol 391:248–262
Tindall JA, Kunkel JR, Anderson DE (1999) Unsaturated zone hydrology for scientists and engineers. Prentice Hall, Upper Saddle River
To-Viet N, Min T-K, Shin H (2013) Using inverse analysis to estimate hydraulic properties of unsaturated sand from one-dimensional outflow experiments. Eng Geol 164:163–171
Van Genuchten MT (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44:892–898
Yarar A, Onucyıldız M, Copty NK (2009) Modelling level change in lakes using neuro-fuzzy and artificial neural networks. J Hydrol 365:329–334
Yeon I, Kim J, Jun K (2008) Application of artificial intelligence models in water quality forecasting. Environ Technol 29:625–631
Yurdusev MA, Firat M (2009) Adaptive neuro fuzzy inference system approach for municipal water consumption modeling: an application to Izmir, Turkey. J Hydrol 365:225–234
Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353
Zhuang J, Nakayama K, Yu G, Miyazaki T (2001) Predicting unsaturated hydraulic conductivity of soil based on some basic soil properties. Soil Tillage Res 59:143–154
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Hashemi Jokar, M., Khosravi, A., Heidaripanah, A. et al. Unsaturated soils permeability estimation by adaptive neuro-fuzzy inference system. Soft Comput 23, 6871–6881 (2019). https://doi.org/10.1007/s00500-018-3326-3
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DOI: https://doi.org/10.1007/s00500-018-3326-3