Purpose: simulation of the filtration process from an irrigation canal made in an earthen channel.
Materials and methods. One of the most common methods in the waterworks construction and operation is the filtration process modeling. In practice, the use of mathematical modeling based on the use of mathematical analogies of various physical processes, which are described by the same differential equations, is widespread. The electric analogy method (EGDA) is based on the analogy between the groundwater velocity and the electrical current flow and allows solving various filtration problems on models of electrically conductive materials. The purpose of modeling the groundwater velocity using the EGDA method is to develop a model similar to a full-scale object, for studying the ongoing filtration processes with its help.
Results. A flow net and a filtration velocity profile which were used to study free filtration from a canal in an earthen channel were constructed. As a result of the study, the specific filtration flow rate, filtration rate were determined and a comparison with the values obtained by calculation was made. Comparison of the results obtained from the flow net with the calculation formula showed that their values coincide with an error of 1.26 %. The specific flow rate determined by the calculation method coincides with the flow net value for the selected belt of equal pressure with an error of 2.8 %.
Conclusions: the EGDA method allows determine effectively the seepage water losses from the canal, however, when quantifying the seepage flow, it gives more significant errors due to the complexity of complete recording when modeling the real conditions of the object under consideration.
doi: 10.31774/2712-9357-2023-13-3-256-273
filtration, waterworks, irrigation canal, earthen channel, electric analogy method
Talalaeva V. F., Sklyarenko E. O. Irrigation canal filtration study by electric analogy method. Land Reclamation and Hydraulic Engineering. 2023;13(3):256–273. (In Russ.). https://doi.org/10.31774/2712-9357-2023-13-3-256-273.
1. Kotlov O.N., Frolova L.A., Savelyeva Yu.Yu., Kozub Yu.G., Gusakova I.N., 2021. Razvitie metodov modelirovaniya fil'tratsii pri proektirovanii i ekspluatatsii gidrotekhnicheskikh sooruzheniy [Development of filtration modeling methods for design and operation of hydraulic structures]. Izvestiya VNIIG imeni B. E. Vedeneeva [Proc. of the VNIIG named after B. E. Vedeneev], vol. 300, pp. 43-57. (In Russian).
2. Tao R., Yang M., Li S., 2018. Filtration of micro-particles within multi-fiber arrays by adhesive DEM-CFD simulation. Journal of Zhejiang University: Science A, vol. 19(1),
pp. 34-44, https:doi.org/10.1631/jzus.A1700156.
3. Kieckhefen P., Pietsch S., Dosta M., Heinrich S., 2020. Possibilities and limits of computational fluid dynamics – discrete element method simulations in process engineering: a review of recent advancements and future trends. Annual Review of Chemical and Biomolecular Engineering, vol. 11, pp. 397-422, https:doi.org/10.1146/annurev-chembioeng-110519-075414.
4. Opalev A.S., Palivoda A.A., 2022. Modelirovanie sistemy zhidkost' – tverdye chastitsy pri sopryazhennom reshenii zadachi v Rocky Dem i Ansys Fluent [Modeling of the liquid-solid particle system in the coupling solution of the task in Rocky Dem and Ansys Fluent]. Gornyy informatsionno-analiticheskiy byulleten' [Mining Informational and Analytical Bulletin], vol. 12-1, pp. 78-93, https:doi.org/10.25018/02 36_1493_2022_121_0_78. (In Russian).
5. Filchakov P.F., Panchishin V.I., 1961. Integratory EGDA, modelirovanie potentsialnykh poley na elektroprovodnoy bumage [Integrators EHDA, Modeling of Potential Fields on the Conductive Paper]. Kyiv, AN Ukrainian SSR Publ., 244 p. (In Russian).
6. Druzhinin N.I., 1966. Izuchenie regionalnykh potokov podzemnykh vod metodom elektrogidrodinamicheskikh analogiy [The Study of the Regional Groundwater Flow by Electrohydrodynamic Analogy Method]. Moscow, Nedra Publ., 123 p. (In Russian).
7. Buldey V.R., 1975. Modelirovanie gidromeliorativnykh sistem [Modeling Irrigation Systems]. Kyiv, Naukova Dumka Publ., 253 p. (In Russian).
8. Umar N., 2020. Sources of irrigation in the state of Uttar Pradesh: A regional analysis. International Journal of Applied Research, vol. 6(10), pp. 984-993, https:doi.org/10.22271/allresearch.2020.v6.i10o.7681.
9. Jha R., Smakhtin V., 2008. A review of methods of hydrological estimation at ungauged sites in India. International Water Management Institute, Colombo, Sri Lanka, 28 p.
10. Ishchenko A.V., Vishnevsky V.V., 2005. Raschety i issledovaniya avariynykh situatsiy protivofil'tratsionnykh ustroystv kamenno-zemlyanoy plotiny [Calculations and studies of emergency situations of impervious devices of a rock-and-earth dam]. Vodnoe khozyaystvo Rossii: problemy, tekhnologii, upravlenie [Water Sector of Russia: Problems, Technologies, Management], vol. 7, no. 4, pp. 415-428. (In Russian).
11. Anakhaev K.N., Aniskin N.A., Amshokov B.Kh., Anakhaeva Kh.K., 2017. Raschet fil'tratsii v zemlyanoy plotine na pronitsaemom osnovanii s protivofil'tratsionnoy diafragmoy [Calculation of filtration in earth dam with impervious diaphragms on permeable foundations]. Gidrotekhnicheskoe stroitel'stvo [Power Technology and Engineering], no. 7, pp. 42-47. (In Russian).
12. Balamirzoev A.G., 2005. Metodika rascheta fil'tratsionnoy bezopasnosti gidro-tekhnicheskikh sooruzheniy na treshchinovatom zagipsovannom osnovanii [The method of calculating the filtration safety of hydro-technical structures on a cracked gypsum base]. Izvestiya vysshikh uchebnykh zavedeniy. Severo-Kavkazskiy region. Tekhnicheskie nauki [Bulletin of Higher Educational Institutions. North Caucasian Region. Technical Science], no. 4(132), pp. 86-90. (In Russian).
13. Bestuzheva A.S., Anakhaev K.K., 2020. O fil'tratsii cherez odnorodnuyu gruntovuyu plotinu s zamkom na vodopronitsaemom osnovanii [Seepage through a homogeneous earth-fill dam with a cut-off wall on a permeable foundation]. Gidrotekhnicheskoe stroitel'stvo [Power Technology and Engineering], no. 1, pp. 35-42. (In Russian).
14. Kosichenko Yu.M., Ugrovatova E.G., Baev O.A., 2015. Obosnovanie raschetnykh zavisimostey fil'tratsionnykh soprotivleniy konstruktsiy oblitsovok kanalov [Justification of the calculated dependences of seepage resistances of channel lining structures]. Izvestiya VNIIG imeni B. E. Vedeneeva [Proc. of the VNIIG named after B.E. Vedeneev], vol. 278, pp. 35-46. (In Russian).
15. Kolganov A.V., Baev O.A., Baklanova D.V., 2022. Rezul'taty naturnykh issledovaniy magistral'nogo kanala v Respublike Kalmykiya [Results of field studies of the main canal in the Republic of Kalmykia]. Prirodobustroystvo [Environmental Engineering], no. 3, pp. 108-114, https:doi.org/10.26897/1997-6011-2022-3-108-114. (In Russian).
16. Kosichenko Yu.M., Baklanova D.V., Baev O.A., Kosichenko M.Yu., 2014. [Calculating groundwater head of between-rivers massif under unsteady filtration from reservoir]. Nauchnyy zhurnal Rossiyskogo NII problem melioratsii, no. 3(15), pp. 120-138, available: http:www.rosniipm-sm.ru/article?n=739 [accessed 12.04.2023]. (In Russian).
17. Sidorenko G.I., Togo I., Mikhalev M.A., Izmaylov R.A., Boronin V.N., 2018. Modeling of filtration flows under hydraulic engineering structures. Construction of Unique Buildings and Structures, 12(75), pp. 68-75, https:doi.org/10.18720/CUBS.75.3.
18. Kolenkina E.I., Nikitin V.F., Logvinov O.A., Smirnov N.N., 2020. Fil'tratsionnyye techeniya v poristykh sredakh: monografiya [Filtration Flows in Porous Medium: monograph]. Moscow, FGU FNTs NIISI RAN Publ., 73 p. (In Russian).
19. Sologaev V.I., 2021. Primenenie analogii fil'tratsii i elektrichestva pri modelirovanii zashchity ot podtopleniya v gorodskom stroitel'stve [Use of filtration and electricity analogy in simulation of underflooding protection in urban construction]. Vestnik SibADI [The Russian Automobile and Highway Industry Journal], vol. 18, no. 4(80), pp. 450-462, https:doi.org/10.26518/2071-7296-2021-18-4-450-462. (In Russian).
