Abstract
The reasons for the hysteresis of the soil water-retention capacity are indicated. An explanation of the closed loop, which is formed by the main drying and wetting branches, as well as open loops, which are formed with the participation of scanning hysteresis branches is proposed. The problem of the possible manifestation of an undesirable “pump effect” is analyzed, and a way to solve this problem is indicated. Mathematical models describing this phenomenon are presented. In these models, three functions of water-retention capacity of the soil are used: (i) Van Genuchten’s function, (ii) improved Kosugi function, (iii) improved Haverkamp and co-authors function. A physical interpretation of an additional additive parameter in the improved functions of the soil water-retention capacity is proposed. The prospects for the use of hysteresis models for calculating precision irrigation rates in land reclamation agriculture are characterized. Using the Williams-Kloot criterion, a comparative analysis of the presented hysteresis models was carried out with respect to the error of the point approximation of experimental data on the main branches (parameter identification), as well as with respect to the error in estimation of the scanning branches of water-retention capacity of the soil using the example of Dune Sand.
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References
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)
Mualem, Y.: A catalogue of the hydraulic properties of unsaturated soils. Research Project 442. Technion, Israel Institute of Technology, Haifa, Israel (2006)
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 (2007)
Kosugi, K.: Lognormal distribution model for unsaturated soil hydraulic properties. Water Resour. Res. 32, 2697–2703 (2007)
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
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 (2005)
Scott, P.S., Farquhar, G.J., Kouwen, N.: Hysteretic effects on net infiltration. In: Proceeding of National Conference on Advances in Infiltration, Publication 11-83, pp. 163–170. American Society of Agricultural Engineers, St. Joseph, Michigan (2008)
Kool, J.B., Parker, J.C.: Development and evaluation of closed-form expressions for hysteretic soil hydraulic properties. Water Resour. Res. 23(1), 105–114 (2005)
Van Genuchten, M.Th.: A closed form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44, 892–989 (2006)
Huang, H.C., Tan, Y.C., Chen, C.H.: A novel hysteresis model in unsaturated soil. Hydrol. Process. 19, 1653–1665 (2005)
Terleev, V, Ginevsky, R., Lazarev, V., Nikonorov, A., Togo, I., Topaj, A., Moiseev, K., Abakumov, E., Melnichuk, A., Dunaieva, I.: Predicting the scanning branches of hysteretic soil water-retention capacity with use of the method of mathematical modeling. In: IOP Conference Series: Earth and Environmental Science, vol. 90, Article no. 012105 (2017)
Kobzar, A.I.: Prikladnaya matematicheskaya statistika. Dlya inzhenerov i nauchnyx rabotnikov. Izd. Fizmatlit, Moskva (2006). (rus)
Terleev, V., Mirschel, W., Nikonorov, A., Ginevsky, R., Lazarev, V., Topaj, A., Moiseev, K., Layshev, K., Arkhipov, M., Melnichuk, A., Dunaieva, I., Popovych, V.: Five models of hysteretic water-retention capacity and their comparison for sandy soil. In: MATEC Web of Conferences, vol. 193, Article no. 02036 (2018)
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)
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)
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The reported study was funded by RFBR according to the research projects No. 19-04-00939-a, No. 19-016-00148-a.
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Terleev, V. et al. (2019). Models of Hysteresis Water Retention Capacity and Their Comparative Analysis on the Example of Sandy Soil. 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_46
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