# Istrazivanja i projektovanja za privreduJournal of Applied Engineering Science

STATISTICAL METHOD FOR A HYDRAULIC CONDUCTIVITY ESTIMATE USing EMPIRICAL FORMULAS

DOI: 10.5937/jaes0-34334
This is an open access article distributed under the CC BY 4.0

Volume 20 article 952 pages: 455-463

Dulovičová Renáta*
Institute of Hydrology, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84104 Bratislava, Slovakia

Ovcharovichova Janka
Civil Engineering Technology, HACC College, 1500 North Third Street, PA 17102 PA, USA

Velísková Yvetta
Institute of Hydrology, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84104 Bratislava, Slovakia

Sediment’s hydraulic conductivity is one of the key inputs for estimating solute and water movement in a vadose zone. Laboratory and field measurements are time consuming and subject to substantial inaccuracies. Thus numerous empirical formulas have been adopted to predict hydraulic conductivity from measurable soil properties such as grain size distribution, soil temperature or bulk density. The objective of this study was twofold: (1) assess the hydraulic conductivities calculated from empirical formulas and (2) develop a simple method to estimate hydraulic conductivities for clayey sand sediments. Using sediment samples extracted from irrigation canals in Zitny Ostrov, Southern Slovakia, we evaluated fourteen empirical formulas. Three sets of parameters were assessed using common statistical methods. The sets included computed hydraulic conductivities, logarithmically transformed hydraulic conductivities, and measured values of hydraulic conductivities. Field measurements and laboratory investigations of hydraulic conductivities were performed to supplement our empirical calculations. The three sets of parameters were compared and formed the foundation for developing an original regression equation: Ksat me = 0.019 (LTKsat)2 + 0.183 (LTKsat) + 4.863– an equation that captures the variables with reasonable agreement. The logarithmically transformed and measured values correlated, yielding R2 = 0.945. Thus, the measured values validated our regression equation.

View article

This work was supported by the contract No. VEGA-02/0025/19.

1. Dulovičová, R, Velísková, Y. (2005). The saturated hydraulic conductivity of silts in the main canals of the Žitný Ostrov canal network (in Slovak). Acta Hydrologica Slovaca, Vol.6, No.2: 274-282. ISSN: 1335-6291

2. Habtamu, F.,M., Tamene, M., and B. Geremew Sinshaw, B.G. (2019). Evaluating Saturated Hydraulic Conductivity under Different Land Use types, Gumara Watershed, Tana Sub-basin. Journal of Academia and Industrial Research (JAIR),Vol. 7, Issue 9: 124, ISSN: 2278-5213

3. Duong, T.,T, Minh, D.,D, and Yasuhara, K. (2019). Assessing the Effects of Rainfall Intensity and Hydraulic Conductivity on Riverbank Stability. MDPI Water Journal 201911(4), 741, https://doi.org/10.3390/w 11040741

4. Wang, Y., Jin, M., Deng, Z. (2018). Alternative Model for Predicting Soil Hydraulic Conductivity Over the Complete Moisture Range. American Geophysical Union, https://doi.org/10.1029/2018.WR023037

5. Ren, X.W. and Santamarina, J.C. (2018). The hydraulic conductivity of sediments: A pore size perspective. Technical note, Engineering Geology, Vol. 233: 48 – 54, https://doi.org/10.1016/j.enggeo.2017.11.022

6. Hwang, H.T., Jeen, S.W., Suleiman, A.A. and Lee, K.K. (2017). Comparison of Saturated Hydraulic Conductivity Estimated by Three Different Methods. Water - Open Access Journal, MDPI, 9, 942: 1 – 15, https://www.mdpi.com/2073-4441/9/12/942

7. Ghanbarian, B., Taslimitehrani, V. and Pachepsky, A. (2017). Accuracy of sample dimension-dependent pedotransfer functions in estimation of soil saturated hydraulic conductivity. Catena, Vol. 149, Part 1: 374-380, https://doi.org/10.1016/j.catena.2016.10.015

8. Gadi, V. K., Tang, Y.R., Das, A., Monga, Ch., Garg, A. Berretta, Ch. and Sahoo L. (2017). Spatial and temporal variation of hydraulic conductivity and vegetation growth in green infrastructures using infiltrometer and visual technique. Catena, Vol. 155: 20 – 29, https://doi.org/10.1016/j.catena.2017.02.024

9. Yusuf, U.S., Slim, M.D. and Uchechukwu, E.A. (2016). Hydraulic Conductivity of Compacted Laterite Treated with Iron Ore Tailings. Advances in Civil Engineering, Vol. 2016, Article ID 4275736, 8 pages, http://doi.org/10.1155/2016/4275736

10. Hussain F. and Nabi G. (2016). Empirical Formulae Evaluation for Hydraulic Conductivity Determination Based on Grain Size Analysis. Original Research Paper. Pyrex Journal of Research in Environmental Studies, Vol 3 (3): 026-032, http://www.pyrexjournals.org/pjres

11. Dulovičová, R, Velísková, Y, Schűgerl, R. (2016). Hydraulic conductivity of silts in Chotárny channel at Žitný ostrov (in Slovak). Acta Hydrologica Slovaca, Vol.17, No.2: 149-156. ISSN 1335-6291

12. Špaček, J. (1987). Assesment of hydraulic conductivity from total granularity curves(in Czech). Meliorace, No. 23: 1-13.

13. Jánošik, J., Jarabicová, M., Pásztorová, M. and Vitková, J. (2009). Utilization of granularity analyses by assessment of saturated hydraulic conductivity. In: Conference on water management of young engineers 2009, Bratislava, Slovakia.

14. Kosorin, K. (1975). The field measurements of bottom permeability and lateral additions of discharge at Rye Island channels - SVI and SVII. In: Institute of Hydraulics and Hydrology, Slovak Academy of Sciences. Partial task No.II-7-3/6-2.

15. Dulovičová, R, Velísková, Y. (2010 a).Aggradation of Irrigation Canal Network in Žitný Ostrov, Southern Slovakia. ASCE Journal of Irrigation and Drainage Engineering, Vol.136, No.6: 421-428. https://doi.org/10.1061/(ASCE) IR.1943-4774.0000190

16. Dulovičová, R, Velísková, Y. (2010b).Aggradation changes at Žitný Ostrov canals (in Slovak). Acta Hydrologica Slovaca, Vol.11, No.2: 219-226. ISSN: 1335-6291

17. Hogg, R.V., McKean, J. and Craig, A.T. (2014). Introduction to mathematical statistics. Pearson Education Limited, Seventh Edition, London, U.K.