18.06.2020

DEFENCE Redchyts

Redchyts D.O. "UNSTEADY COUPLED PROBLEMS OF THE DYNAMICS OF A LIQUID, GAS, AND LOW-TEMPERATURE PLASMA" (Doct. Phys.-Math. Sci.)

HYDRODYNAMICS AND ACOUSTICS

2018 ◊ Volume 1 (91) ◊ Issue 1 p. 53-69

V. L. Polyakov*

* Institute of Hydromechanics of NAS of Ukraine, Kyiv, Ukraine

Calculation of the unsteady effect of reclamation drainage with in-depth consideration of the effect of the zone of aeration and infiltrations

Gidrodin. akust. 2018, 1(1):53-69

https://doi.org/10.15407/jha2018.01.053

TEXT LANGUAGE: Russian

ABSTRACT

The analytical solution is obtained for a non-linear problem of a non-steady groundwater flow to systematic horizontal drain system in view of the impact of the aeration zone and infiltration. On its base the equation for calculation of a reliable drain spacing at given requirements to soil drainage is derived. The solution behavior is illustrated on several examples, the expedience of more exact description of water exchange between the saturated and unsaturated zones is demonstrated that makes it possible to increase the drain spacing.

KEY WORDS

systematic drainage, free groundwater flow, differential water capacity, drain spacing, analytical solution, infiltration

REFERENCES

  1. K. K. Bashkis, “On the analysis of methods for calculation of horizontal drainage”, Trudy Lit. NIIGiM. The issues of land draining with pottery drainage, vol. IX, pp. 5–24, 1974.
  2. V. A. Ionat, Calculation of horizontal drainage in heterogeneous soils. Tallinn: Est. NIIZiM, 1962.
  3. A. I. Murashko, An agricultural drainage in the humid zone. Moscow: Kolos, 1982.
  4. A. V. Myaskov, E. S. Semerinov, M. A. Zhuravlev, et al., “The design of trenchless drainage”, Leningrad: SevNIIGiM, 1982, ch. Analysis of the results of the calculation of distances between drains by different methods, pp. 67–83.
  5. R. Eggelsman, Guide to drainage. Moscow: Kolos, 1984.
  6. R. R. V. der Pboeg, M. B. Kirkham, and M. Marquardt, “The Golding equation for soil drainage: Its origin, evolution and use”, Soil Science Society of America Journal, vol. 63, pp. 33–39, 1999. https://doi.org/10.2136/sssaj1999.03615995006300010006x.
  7. K. Watson and F. Whisler, “Comparison of drainage equations for the gravity drainage of stratified profiles”, Soil Science Society of America Journal, vol. 40, no. 5, pp. 631–635, 1976. https://doi.org/10.2136/sssaj1976.03615995004000050051x.
  8. V. L. Polyakov and Y. I. Kalugin, “Mathematical modeling of water exchange between the saturated and unsaturated zones of a drained soil”, Reports of NAS of Ukraine, no. 6, pp. 38–46, 2016.
  9. E. V. Shein, Ed., Field and laboratory methods for studying of physical properties and soil regimes: A methodological guidance. Moscow: MGU Publications, 2001.
  10. M. T. V. Genuchten, “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils”, Soil Science Society of America Journal, vol. 44, no. 5, pp. 892–898, 1980. https://doi.org/10.2136/sssaj1980.03615995004400050002x.
  11. J. A. Vrugt, W. Bouten, H. V. Gupta, and J. W. Hopmans, “Toward improved identifiability of soil hydraulic parameters: On the selection of a suitable parametric model”, Vadose Zone Journal, vol. 2, pp. 98–113, 2003. https://doi.org/10.2136/vzj2003.9800.
  12. A. I. Ivickii, G. I. Afanasik, and A. I. Mihalcevich, Designing and calculating the regulatory network of drainage and humidification systems on peat soils (recommendations). Minsk: Uradzhai, 1979.
  13. V. P. Nasikovskii and V. Y. Shapran, “Experimental determination of water loss coefficient and lack of saturation”, Melioration and Water Management, vol. 19, pp. 134–142, 1991.
  14. P. Y. Polubarinova-Kochina, V. G. Pryazhinskaya, and V. N. Emih, Mathematical methods in irrigation. Moscow: Nauka, 1969.
  15. V. L. Polyakov, Filtration deformations in drained soils: Theory and applications. Kiev: Agrar Media Group, 2014.
  16. V. M. Shestakov, Theoretical basis for assessing of backwater, dewatering and drainage. Moscow: MGU Publications, 1965.
  17. V. L. Polyakov, “Calculation of the effect of a single imperfect horizontal drain in an unrestricted reservoir with the allowance for aeration zone”, Hydroengineering Construction, no. 5, pp. 21–31, 2016.
  18. V. L. Polyakov, “Evaluation of filtration deformations of loose soils on a flowing well example, ” Problems of Water Supply, Drainage and Hydraulics.
  19. A. I. Ivickii, Fundamentals of design and calculation of drainage and drainage-humidifying systems. Minsk: Nauka i Tehnika, 1988.
  20. I. V. Minaev, “On calculation of distances between the drains”, Hydroengineering and Melioration, no. 2, pp. 41–44, 1985.
  21. W. Wenyan, S. Bing, and L. Zhilu, “Drain-spacing calculation considering influence of evaporation”, Journal of Irrigation and Drainage Engineering, vol. 120, no. 3, pp. 563–572, 1994. https://doi.org/10.1061/(asce)0733-9437(1994)120:3(563).
  22. B. S. Maslov, Ed., Melioration and water management. 3. Dehumidification. Handbook. Moscow: Agropromizdat, 1985.
  23. B. S. Maslov, V. S. Stankevich, and V. Y. Chernenok, Drying and moisturizing systems. Moscow: Kolos, 1981.
  24. A. Y. Oleinik and V. L. Polyakov, Drainage of wetlands. Kiev: Naukova Dumka, 1987.
  25. A. Y. Oleinik, Geohydrodynamics of drainage. Kiev: Naukova Dumka, 1981.
  26. N. G. Pivovar, N. G. Bugai, V. L. Fridrihson, A. I. Krivonog, and V. V. Krivonog, A drainage with fibrous filters for protection of the territories from underflooding. Kiev: Institute of Hydromechanics of NASU, 2000.
  27. N. N. Verigin, Ed., Methods of filtration calculations of irrigation and drainage systems. Moscow: Kolos, 1970.