Abstract
In this paper, Improved Jaya (I-Jaya) and Hybrid I-Jaya-Nonlinear Programming (Hybrid) algorithms were introduced and used for solving the optimum problems of Soil Water Retention Curve (SWRC) parameters. Based on the measured data (12 soil samples with diver textures from different areas of world), optimization solvers including Nonlinear Programming (NP), Genetic algorithm (GA), and Jaya alongside were examined for the proposed algorithms. Five parameters were considered for estimating the van Genuchten model. Additionally, SWRC parameters and Mualem model were used for calculating Unsaturated Permeability Coefficients (UPC) and comparing them with the measured data in the logarithmic scale. The average values of the statistical index were R, R2, MAE, RMSE, and the computational cost as the run time were calculated for the soil samples for both step. The results demonstrated the outperformance of I-Jaya for solving the SWRC optimization problems and estimating UPCs with less computation cost. In addition, I-Jaya could immediately provide suitable initial guesses for the NP algorithm and their combination as a hybrid method could deliver the best accuracy in comparison to other methods.
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Data availability
The data used in this research are taken from UNSODA which is publicly available and the data results in this research are presented in the article.
Abbreviations
- BC:
-
Brooks–Corey model
- GA:
-
Genetic Algorithm
- Hybrid:
-
I-Jaya-Nonlinear
- I-Jaya:
-
Improved Jaya
- MAE:
-
Mean Absolute Error
- NP:
-
Nonlinear Programming
- PDI:
-
Peters–Durner–Iden
- R:
-
Correlation Coefficient
- R2 :
-
Coefficient of Determination
- RMSD:
-
Root Mean Square Difference
- RMSE:
-
Root Mean Square Error
- SWRC:
-
Soil Water Retention Curve
- ULS:
-
Un-weighted Least Squares Regression
- UNSODA:
-
Unsaturated Soil Hydraulic Database
- UPC:
-
Unsaturated Permeability Coefficients
- VG:
-
Van Genuchten’s model with five parameters
- WLS:
-
Weighted Least Squares Regression
- σ:
-
Standard Deviation
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All the authors contributed to the study’s conception and design. Reza Askary carried out data curation, methodology, software development, wrote the original draft, and carried out formal analysis. Mohsen Najarchi and Hossein Mazaheri contributed to the original draft’s conceptualization, validation, supervision, rewriting, and editing. All authors read and approved the final manuscript draft.
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Communicated by: H. Babaie
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Askary, R., Najarchi, M. & Mazaheri, H. Estimating SWRC parameters and unsaturated hydraulic permeability by improved Jaya and hybrid improved jaya optimization algorithms. Earth Sci Inform 15, 2155–2169 (2022). https://doi.org/10.1007/s12145-022-00862-z
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DOI: https://doi.org/10.1007/s12145-022-00862-z