Filtration of the underground water to the workings of a large diameter
https://doi.org/10.32454/0016-7762-2019-4-58-67
Abstract
An approximate solution obtained by the author for the problem of the flow of pressure groundwater to a large-diameter water receiving system with a disturbed aquifer with a constant flow rate has been given. The solution has been obtained using the most general method of finding approximate solutions — the method of integral relations of G.I. Barenblatt. Comparison of the computational results based on an approximate solution with computations based on accurate and well-known approximate solution about the inflow of fluids (water, gas, oil) to large-diameter water receiving systems — «big wells» — «enlarged wells». This comparison has shown that an approximate solution provides a calculation of piezometric groundwater level lowering (with a known constant disturbance flow rate) at any point of the aquifer, and also at the wall of the receiving system, with a relative error of less than 5 % for a wide range of times from the beginning of the disturbance. The resulting solution has a disproportionately large area of application in comparison with the «big well» method traditionally used in hydrogeological practice.
About the Author
M. M. Burakov
LP RPDC «KazGIDEK»
Kazakhstan
Kazakhstan
Of. 506, 43а, ul. Mynbaeva, Almaty 050008
References
1. Barenblatt G.I. On Some Approximate Methods in the Theory of One-Dimensional Unsteady Fluid Filtration in the Elastic Mode. Izvestiya AN SSSR. Otdeleniye tekhnicheskikh nauk — News of the Academy of Sciences of the USSR. Department of Technical Sciences, 1954, no. 9, pp. 35-49. (in Russian).
2. Bochever F.M. Teoriya i prakticheskiye metody gidrogeologi-cheskikh raschetov ekspluatatsionnykh zapasov podzemnykh vod [Theory and Practical Methods of Hydrogeological Calculations of the Operational Groundwater Reserves]. Moscow, Nedra Publ., 1968, 328 p. (in Russian).
3. Bochever F.M., Verigin N.N. Metodicheskoye posobiye po raschetam ekspluatatsionnykh zapasov podzemnykh vod dlya vodosnabzheniya [Methodological Manual for Calculating the Operational Reserves of Groundwater for Water Supply]. Moscow, Gosstroyizdat Publ., 1961, 199 p. (in Russian).
4. Burakov M.M. Issledovaniye vodootbora v neodnorodnykh po fil’tratsionnym i yemkostnym svoystvam vodonosnykh plastakh (na primere mestorozhdeniy Tsentral’nogo Kazakhstana). Avtoref. dis. kand. geol.-min. nauk [Investigation of Water Withdrawal in Aquifers That are Heterogeneous in Terms of Filtration and Capacity Properties (by the Example of Fields in Central Kazakhstan). Dis. abstr. of cand. of geol. and min. sci.]. Alma-Ata, 1987, 25 p. (in Russian).
5. Samsonov B.G. Pritok podzemnykh vod k razvedochnym gornym vyrabotkam [Groundwater Inflow to Exploration Workings]. Moscow, Nedra Publ., 1991, 160 p. (in Russian).
6. Samsonov B.G., Rogozhina M.A. Raschetpredel’nogo vodopritoka v razvivayushchuyusya podzemnuyu gornuyu vyrabotku. Ekspress-informatsiya. Gidrogeologiya i inzhenernaya geologiya [Calculation of the Marginal Water Inflow in the Developing Underground Mining Development. Express Information. Hydrogeology and Engineering Geology]. Moscow, VIEMS Publ., 1983, Vol. 4, pp. 1-8. (in Russian).
7. Samsonov B.G., Rogozhina M.A. Resheniye zadachi o pritoke podzemnykh vod v razvivayushchuyusya sistemu gornykh vyrabotok ellipticheskoy formy. Ekspress-informatsiya. Gidrogeologiya i inzhe-nernaya geologiya. Otechestvennyy proizvodstvennyy opyt [Solution of the Problem of Groundwater Inflow into the Developing System of Mine Workings of Elliptical Form. Express Information. Hydrogeology and Engineering Geology. Domestic Production Experience]. Moscow, VIEMS Publ., 1986, Vol. 7, pp. 1-6. (in Russian).
8. Samsonov B.G., Rogozhina M.A., Plakida E.K. Otsenka dosto-vernosti opredeleniya gidrogeologicheskikh parametrov sposobom opytno-fil’tratsionnykh nablyudeniy pri vodootlive. Ekspress-infor-matsiya. Gidrogeologiya i inzhenernaya geologiya. Otechestvennyy proizvodstvennyy opyt [Estimation of the Reliability of the Determination of Hydrogeological Parameters by the Method of Experimental Filtration Observations with a Watering Factor. Express Information. Hydrogeology and Engineering Geology. Domestic Production Experience]. Moscow, VIEMS Publ., 1986, vol. 2, pp. 1—8. (in Russian).
9. Spravochnik po spetsial’nym funktsiyam s formulami, grafikami i matematicheskimi tablitsami [Handbook of Special Functions with Formulas, Graphs and Mathematical Tables]. Ed. M. Abramo-witz, I. Stegun. Moscow, Nauka Publ., 1979, 831 p. (in Russian).
10. Spravochnoye rukovodstvo gidrogeologa [Reference Guide Hydrogeologist] Ed. V.M. Maximov. Moscow, Nedra Publ., 1967, vol. 1, 592 p. (in Russian).
11. Kharin O.N. [Derivation of Approximate Formulas Characterizing the Operation of an Enlarged Well with a Constant Flow Rate in the Conditions of an Elastic Mode]. Trudy MING i GP imeni akad. I.M. Gubkina «Razrabotka neftyanykh i gazovykh mestorozhdeniy ipodzemnaya gidrodinamika» [Proc. of the MING and GP named Acad. I.M. Gubkin «Development of Oil and Gas Fields and Underground Hydrodynamics»], 1964, Vol. 55, pp. 41—47. (in Russian).
12. Shestakov V.M. Terminology Issues in Hydrogeodynamics. Vod-nyye resursy — Water Resources, 1984, Vol. 8, No. 5, pp. 156—159. (in Russian).
13. Schelkachev V.N. Razrabotka neftevodonosnykhplastovpri uprugom rezhime [Development of Oil Reservoirs in the Elastic Mode]. Moscow, Gostoptekhizdat Publ., 1959, 467 p. (in Russian).
14. Schelkachev V.N. Investigation of the Unsteady Filtration Flow of an Elastic Fluid to a Circular Battery of Sewers. Doklady AN SSSR — Reports of the Academy of Sciences of the USSR, 1951, Vol. 79, no. 4, pp. 577—580. (in Russian).
15. Schelkachev V.N. Refinement of the Approximate Formula for Determining the Pressure Drop on the Wall of an Enlarged Well, Fired with a Constant Flow Rate. Trudy MING i GP imeni akad. I.M. Gubkina «Podzemnaya gidrodinamika» [Proc. of the MING and GP named Acad. I.M. Gubkin «Underground Fluid Dynamics»], 1964, Vol. 33, pp. 5—13. (in Russian).
16. Schelkachev V.N., Vlyushin V.E. Further Simplification of the Approximate Formula for Calculating the Pressure Drop on the Wall of an Enlarged Well Put Into Operation With a Constant Flow Rate in an Elastic Mode. Izvestiya VUZov. Neft’ i gaz — News of Universities. Oil and Gas, 1963, no. 7, pp. 77—82. (in Russian).
17. Ingersoll L.R., Adler F.T., Plass H.T., Ingersoll A.S. Theory of heat exchangers for the heat pump. Journal ofAmerican Society of Heating and Ventilating, 1950, vol. 22, no. 5, pp. 113—123.
18. Van Everdingen A.F., Hurst W. The application of the Laplace transformation to flow problems in reservoirs. Petroleum Transactions, AIME, 1949, no. 12, pp. 305—324.
19. Theis C.V. The Relation Between the Lowering of the Piezometric Surface and the Rate and Duration of Discharge of a Well Using Ground-Water Storage. Transactions. American Geophysical Union, 1935, vol. 16, pp. 519-524.
Review
For citations:
Burakov M.M. Filtration of the underground water to the workings of a large diameter. Proceedings of higher educational establishments. Geology and Exploration. 2019;(4):58-67. (In Russ.) https://doi.org/10.32454/0016-7762-2019-4-58-67
Views:
503
Email this article 