Abstract
A system of improved hydrophysical functions describing the water-retention capacity and hydraulic conductivity of the soil is presented. The mathematical description of the functions is based on the physical ideas about the structure of the pore space of the soil and the capillarity phenomenon. For both functions, the parameters are common. The advantages of the presented functions are described in comparison with the most well-known world analogues, which are used in the Mualem-Van Genuchten method. An example of estimation of the ratio of the hydraulic conductivity of a soil to the filtration coefficient of moisture according to the data on the water-retention capacity of a soil of sandy particle size distribution is given. The presented system of hydrophysical functions of the soil can be used to justify the development and resource-saving technologies in irrigation and drainage construction and irrigation agriculture. Practical application of applied models based on these functions will significantly reduce the energy intensity of the operation of irrigation and drainage systems and the production of agricultural products.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Mualem, Y.: A new model for predicting hydraulic conductivity of unsaturated porous media. Water Resour. Res. 12, 513–522 (1976)
Van Genuchten, M.Th.: A closed form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44, 892–989 (1980)
Haverkamp, R., Vauclin, M., Touma, J., Wierenga, P.J., Vachaud, G.: A comparison of numerical simulation model for one-dimensional infiltration. Soil Sci. Soc. Am. J. 41, 285–294 (1977)
Brutsaert, W.: Probability laws for pore-size distribution. Soil Sci. 101, 85–92 (1966)
Ahuja, L.R., Swartzendruber, D.: An improved form of soil-water diffusivity function. Soil Sci. Soc. Am. Proc. 36, 9–14 (1972)
Terleev, V.V., Mirschel, W., Badenko, V.L., Guseva, I.Yu.: An improved Mualem-Van Genuchten method and its verification using data on Beit Netofa clay. Eurasian Soil Sci. 50(4), 445–455 (2017)
Kosugi, K.: Three-parameter lognormal distribution model for soil water retention. Water Resour. Res. 30, 891–901 (1994)
Kosugi, K.: Lognormal distribution model for unsaturated soil hydraulic properties. Water Resour. Res. 32, 2697–2703 (1996)
Winitzki, S.: A handy approximation for the error function and its inverse. https://sites.google.com/site/winitzki/sergei-winitzkis-files/erf-approx.pdf?attredirects=0
Mualem, Y.: A catalogue of the hydraulic properties of unsaturated soils. Research Project 442. Technion, Israel Institute of Technology, Haifa, Israel (1976)
Terleev, V., Mirschel, W., Nikonorov, A., Ginevsky, R., Lazarev, V., Togo, I., Topaj, A., Moiseev, K., Shishov, D., Dunaieva, I.: Estimating some hydrophysical properties of soil using mathematical modeling. In: MATEC Web of Conferences, vol. 193, Article no. 02035 (2018)
Kobzar, A.I.: Prikladnaya matematicheskaya statistika. Dlya inzhenerov i nauchnyx rabotnikov. Izd. Fizmatlit, Moskva (2006). (rus)
Badenko, V., Badenko, N., Nikonorov, A., Molodtsov, D., Terleev, V., Lednova, J., Maslikov, V.: Ecological aspect of dam design for flood regulation and sustainable urban development. In: MATEC Web of Conferences, vol. 73, Article no. 03003 (2016)
Terleev, V.V., Topazh, A.G., Mirschel, W.: The improved estimation for the effective supply of productive moisture considering the hysteresis of soil water retention capacity. Russ. Meteorol. Hydrol. 40(4), 278–285 (2015)
Medvedev, S., Topaj, A., Badenko, V., Terleev, V.: Medium-term analysis of agroecosystem sustainability under different land use practices by means of dynamic crop simulation. In: IFIP Advances in Information and Communication Technology, vol. 448, pp. 252–261 (2015)
Acknowledgments
The reported study was funded by RFBR according to the research projects No 19-04-00939-a, No 19-016-00148-a.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Terleev, V. et al. (2019). Improved Hydrophysical Functions of the Soil and Their Comparison with Analogues by the Williams-Kloot Test. In: Murgul, V., Pasetti, M. (eds) International Scientific Conference Energy Management of Municipal Facilities and Sustainable Energy Technologies EMMFT 2018. EMMFT-2018 2018. Advances in Intelligent Systems and Computing, vol 983. Springer, Cham. https://doi.org/10.1007/978-3-030-19868-8_45
Download citation
DOI: https://doi.org/10.1007/978-3-030-19868-8_45
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-19867-1
Online ISBN: 978-3-030-19868-8
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)