Developing Mathematical Models of Saturated Hydraulic Conductivity in Iraqi soils

Year 2025, Volume: 10 Issue: 2, 412 - 424, 01.09.2025

Hadeel Amer Jabbar , Alaa Salih Ati , Mohammed Hassan Sabri Bahia

https://doi.org/10.28978/nesciences.1721628

Abstract

Saturated hydraulic conductivity (Ksat) is a fundamental parameter in hydrology and modeling surface and groundwater flow, as well as the transport of dissolved materials within the soil. Estimating saturated conductivity by field or laboratory methods is often expensive and time-consuming. The hydraulic conductivity parameter is the most important parameter in modeling the hydraulic properties of soils in saturated and unsaturated soils and is subject to high variability and spatial differences across spatial scales. The study aims to develop a mathematical model for estimating the saturated hydraulic conductivity (ks) in Iraqi soils using basic physical properties. A theoretical model was initially proposed based on effective relative porosity ( er). However, regression analysis performed on empirical data collected from multiple soil samples across Iraq indicated that proposed theoretical relationship (ks = 75. er) did not hold under actual conditions. Instead, an empirical model was derived using linear regression Ks= 12.29 er+ 24.5, with a coefficient of determination (R2) of 0.443. This model suggests a moderate inverse correlation between er and ks, likely due to textural and structural characteristics specific to the studied soils. The findings emphasize the need for localized calibration of hydraulic models to ensure accuracy in soil-water management practices.

Keywords

saturated hydraulic conductivity , soil physical , chemical properties

References

• Al-Hassan, M. J. A., Ati, A. S., & Hussein, H. H. (2023, April). Spatial Distribution of Soil Quality and Health Index for the Umm Al-Naaj Marsh in Maysan. In IOP Conference Series: Earth and Environmental Science (Vol. 1158, No. 2, p. 022039). IOP Publishing. 10.1088/1755-1315/1158/2/022039
• Alwazzan, T. T., & Ati, A. S. (2024). Assessment of soil quality and health using some physical and biological properties for Fadak Farm Project. Iraqi Journal of Agricultural Sciences, 55(3), 1011-1024. https://doi.org/10.36103/ddeegt17
• Black, G.R. (1965). Methods of Soil Analysis, Part 1 and 2. American Society of Agronomy.
• Dowad, S. S., & Jasim, A. A. (2023). Evaluation of the performance of locally developed combine equipment used for several agricultural operations at once. Diyala Agricultural Sciences Journal, 15(1), 93-103. https://doi.org/10.52951/dasj.23150110
• Gandhi, N., Prakruthi, B., & Vijaya, C. (2024). Effect of Industrial Emissions on Haematological and Biochemical Parameters of Channa striata Fresh Water Fish. International Journal of Aquatic Research and Environmental Studies, 4(1), 115-119. https://civilica.com/doc/1772131/
• Hillel, D. (2004). Introduction to environmental soil physic. Elserier Science, San Diego, California. https://doi.org/10.1016/B978-0-12-348655-4.X5000-X
• Ismail, A. S. H., & Mahmud, Q. H. (2024). Study the Influence of Tin Oxide SnO2 Doping on the Optical and Structural Properties of Titanium Oxide TiO2. International Academic Journal of Innovative Research, 11(1), 61–65. https://doi.org/10.9756/IAJIR/V11I1/IAJIR1107
• JH, D. (2002). Water retention and storage. Physical Methods, 688-690.
• Keïta, A., Koïta, M., Niang, D., & Lidon, B. (2019). Waso: An innovative device to uncover independent converging opinions of irrigation system farmers. Irrigation and Drainage, 68(3), 496-506. https://doi.org/10.1002/ird.2319
• Khayyun, T. S., & Mahdi, H. H. (2019, August). Hydraulic conductivity estimation by using groundwater modelling system program for upper zone of Iraqi aquifers. In IOP Conference Series: Materials Science and Engineering (Vol. 584, No. 1, p. 012054). IOP Publishing. 10.1088/1757-899X/584/1/012054
• Khudhur, T. M. (2024). Effect of Preparation Method on the Physical Properties of SnO2 Thin Films. International Academic Journal of Science and Engineering, 11(2), 22–27. https://doi.org/10.71086/IAJSE/V11I2/IAJSE1145
• Madesh, M., Karuppuswamy, P., & Bhagyanathan, C. (2018). Improving Mechanical Properties of Recycled Aluminium ADC 12 Alloys through RAR Earth Addition. International Journal of Advances in Engineering and Emerging Technology, 9(2), 70-77. https://erlibrary.org/erl/ijaeet/article/view/227
• Mahdee, H. S., Ati, A. S., & Rahim, B. R. (2023, December). Role of clay minerals on saturated hydraulic conductivity in different region of Iraq. In IOP Conference Series: Earth and Environmental Science (Vol. 1262, No. 8, p. 082006). IOP Publishing. 10.1088/1755-1315/1262/8/082006
• Masood, T. K., & Salim, S. B. (2022). Spatial variability of hydro-related physical properties of Al-Rasheed loam. Iraqi Journal of Agricultural Sciences, 53(1), 164-172. https://doi.org/10.36103/ijas.v53i1.1521
• Naji, H. S., & Ati, A. S. (2019). A re-saturation impact on soil retention curve for five different textured soils. Biochemical & Cellular Archives, 19(2). 10.35124/bca.2019.19.2.3087
• Nasr, M. M., & Ati, A. S. (2023, December). Hysteresis in Soil, Its Causes and Influences. In IOP Conference Series: Earth and Environmental Science (Vol. 1262, No. 8, p. 082052). IOP Publishing. 10.1088/1755-1315/1262/8/082052
• Pedregosa, F., Varoquaux, G., Gramfort, A., Michel, V., Thirion, B., Grisel, O., ... & Duchesnay, É. (2011). Scikit-learn: Machine learning in Python. the Journal of machine Learning research, 12, 2825-2830.
• Razvanchy, H. A. S., & Fayyadh, M. A. (2023). Study soil development and classification in erbil province, kurdistan, iraq using mathematical indices. Iraqi Journal of Agricultural Sciences, 54(6), 1802-1813. https://doi.org/10.36103/ijas.v54i6.1879
• Sengupta, R., & Deshmukh, P. (2024). Multi-Stage Filtration Systems for Continuous Separation in Fine Chemical Production. Engineering Perspectives in Filtration and Separation, 13-16. https://filtrationjournal.com/index.php/epfs/article/view/EPFS24104
• Su, M., Liu, C., Wang, L. P., & Zheng, W. (2022). Prediction of saturated hydraulic conductivity of sandy soil using Sauter mean diameter of soil particles. European Journal of Soil Science, 73(2), e13229. https://doi.org/10.1111/ejss.13229
• Udayakumar, R., Mahesh, B., Sathiyakala, R., Thandapani, K., Choubey, A., Khurramov, A., ... & Sravanthi, J. (2023, November). An integrated deep learning and edge computing framework for intelligent energy management in IoT-based smart cities. In 2023 International Conference for Technological Engineering and its Applications in Sustainable Development (ICTEASD) (pp. 32-38). IEEE. https://doi.org/10.1109/ICTEASD57136.2023.10585232
• West, L. T., Abreu, M. A., & Bishop, J. P. (2008). Saturated hydraulic conductivity of soils in the Southern Piedmont of Georgia, USA: Field evaluation and relation to horizon and landscape properties. Catena, 73(2), 174-179. https://doi.org/10.1016/j.catena.2007.07.011