Water inflow to imperfect wells in the presence of turbulent and laminar filtration modes
Authors:
Abstract
Drilled wells are widely used for pumping water from water-bearing rocks in urban, industrial, transportation and agricultural water supply, drainage of mines and quarries, water control during construction of large hydraulic structures, etc. Under appropriate hydrogeological conditions, such wells are often equipped with high-performance pumps, as a result of which a significant cone of depression is formed around the well in the aquifer. Filtration rates and hydraulic gradients near the water-receiving part of the well, especially with a confined aquifer, may exceed the values obeying the linear law of filtration. Then in the zone nearest to the well there is most often a turbulent type of movement, characterized, as is known, by a quadratic relationship between the velocity of groundwater and the hydraulic gradient. It occurs more often in fractured rocks, but can also occur in coarse clastic and granular material.
Область исследования:
(Archived) Without section
Funding:
None
References
- Abramov G.K., Babushkin V.D. Methods of Calculation of Water Inflow to Drilling Wells. Gosstroyizdat, 1955. (in Russian)
- Argunov P.P. Calculation of water-flooding installations. Coll. Construction Dewatering and Hydromechanics of Ground Waters, Minstroizdat, 1950, No. 15. (in Russian)
- Babushkin V.D. Influence of position and length of the filter of an imperfect well on its productivity. Izd. in-ta Vodgeo, 1947. (in Russian)
- Bindeman N.N. Methods of Determination of Water Permeability of Rocks by Pumping, Pouring and Injection. Ugletekhizdat, 1951. (in Russian)
- Volodko I.F. To methods of laboratory study of groundwater movement in fractured rocks. Gidrogeologiya i inzhenernaya geologiya, 1941, No. 8. (in Russian)
- Temporary Instruction on Research and Establishment of Technological Mode of Operation of Oil Wells. Gostoptekhizdat, 1954. (in Russian)
- Girinsky I.K. Some issues of groundwater dynamics. To calculation of groundwater movement to wells. Sbornik Gidrogeologiya i inzhenernaya geologiya VSEGINGEO, 1947, No. 9. (in Russian)
- Girinsky N.K. Determination of Filtration Coefficient from Pumping Data at Unsteady Flow Rate and Depressions. Gosgeolizdat, 1950. (in Russian)
- Glogovsky M.M. Flow rate of wells imperfect by the degree of formation penetration. Trudy Mosk. neft. in-ta im. Gubkina, 1951, iss. 11. (in Russian)
- Zamarin E.A. Determination of filtration coefficient by pumping. Vestnik irrigatsii, 1929, No. 1. (in Russian)
- Kamensky G.N. Fundamentals of groundwater dynamics. Ed. I, 1935; ed. II, 1943. (in Russian)
- Kamensky G.N., Klimentov P.P., Ovchinnikov A.M. Hydrogeology of Mineral Deposits. Gosgeolizdat, 1953. (in Russian)
- Kerkis E.E. To the issue of groundwater movement in fractured rocks. Zapiski Gornogo Instituta, 1948, vol. XXII. (in Russian)
- Kerkis E.E. Determination of water permeability of rocks and water inflow to water intakes at development of turbulent groundwater movement. Zapiski Gornogo Instituta, 1956, vol. XXXII, iss. 2. (in Russian)
- Kozlov V.S. Calculation of Drainage Structures. Gosstroyizdat, 1940. (in Russian)
- Krasnopolsky A.A. Ground and Artesian Wells. SPb, 1912. (in Russian)
- Minsky E.M. About liquid and gas inflow to imperfect wells at nonlinear law of resistance. Doklady AN SSSR, 1955, vol. 103, No. 3, pp. 379‑382. (in Russian)
- Nasberg V.M. Development of formulas for calculation of filtration into wells. Tbilisskiy nauchno-issled. gidroenergeticheskiy institut, 1946. (in Russian)
- Nasberg V.M. Generalized Dupuis-Krasnopolsky formula for a pressure perfect well and some of its applications. Izv. Tbilissk. NII sooruzheniy i gidroenergetiki, 1947, vol. I. (in Russian)
- Nasberg V.M. Hydrodynamic grid for filtration without pressure from a well and application of the grid for determination of soil permeability. Izv. Tbilissk. NII sooruzheniy i gidroenergetiki, 1950, vol. III. (in Russian)
- Ogilvi I.A. Theoretical bases of designing of dewatering installations in pressurized water-bearing systems. Avtoreferat kand. dissertatsii, MGRI, 1946. (in Russian)
- Pobedonostsev I.M. Analytical determination of the point of transition of laminar groundwater flow into turbulent one. Voprosy gidrogeologii i inzhenernoy geologii, 1933, iss. 3. (in Russian)
- Pauker I.G. About calculation of filtration coefficient, radius of influence and lowering of piezometric level by data of group pumping from imperfect wells. Zapiski Gornogo Instituta, 1956, vol. XXXII, iss. 2. (in Russian)
- Trojansky S.V. Laws of groundwater movement and drainage of watered mineral deposits. Nauchn. tr. po voprosam gornogo dela (MGRI), 1954, collection No. 13‑14. (in Russian)
- Trojansky S.V. About the laws of groundwater movement in karsted rocks. Theses of reports at the meeting on the study of karst. January 30 – February 3, 1956. Izd-vo AN SSSR, 1956, issue 7. (in Russian)
- Khramushev A.S. Theoretical bases of the graph-analytical method of determination of the coefficient of water-conductivity of fractured and roughly clastic rocks. Sbornik Gidrogeologiya i inzhenernaya geologiya, VSEGINGEO, 1941, No. 8. (in Russian)
- Parny I.A. About inflow to imperfect wells at simultaneous existence of different filtration laws in the formation. , OTN, 1950 No. 6, 1953, No. 2. (in Russian)
- Parny I.A. Fundamentals of Underground Hydraulics. Gostoptekhizdat, 1956. (in Russian)
- Shchelkachev V.I. Analysis of existing methods of well research.NIS Grozn. neft. in-ta i Grozn. obl. izd., 1945. (in Russian)
- Engelund F. On the laminar and turbulent flows of ground water through homogeneous sand. Trans. Dan. Acad. Tech. Sci., No. 3: Contr. Hydraulic Lad. Tech., Univ. of Denmark, Bull. No. 4, 105 pp., 1953 (abstract in Appl. Mech Rev., v. 7, p. 373, 1954).
- Forchheimer P. Hydraulik, 1914 (Russian translation: Forchheimer F. Hydraulik, ONTI, 1930).
- Kozeny J. Theory and calculation of wells. Hydropower and water management, 1933, No. 9 and No. 11.
- Li Wen Hsiung, Bock Paul, Benton Georg S. A new formula for flow into partially penetrating wells in aquifers. Trans. American Geophysical Union, 1954, 35, No. 5.
- Muskat, M. The Flow of homogeneous fluids through Porous Media, New York, 1937. (Russian translation of the book: Muskat, M. The Flow of Homogeneous Liquids and Gases in Porous Media. Gostoptekhizdat, 1949).
- Sliehter Ch. The motions of underground Waters. Water-supply and irrigation, Washington, 1902. (Russian translation by A. D. Stopnevich, Sliehter Ch. Underground Waters. St. Petersburg, 1912).