Impact of planned heterogeneity of hydraulic conductivity on the results of pumping in an isolated unconfined layer
https://doi.org/10.33623/0579-9406-2021-3-113-123
Abstract
The paper presents the results of numerical simulation of cluster pumping test in an heterogeneous aquifer with transmissivtyvariability described by the model of a stationary random field of its logarithm with a given scale of correlation in the plan. The case of comparable planar distance to observation wells and correlation scale is considered. Parameters of the model of transmissivity heterogeneity of the simulated aquifer are obtained from the data of experimental tests carried out within the limits of the South Voronezhskoye groundwater field. The simulation has shown that the average results of interpretation of these cluster pumping data correspond to the geometric value of the transmissivity, which confirms the previously obtained approximate theoretical result for the model of small-scale heterogeneity and extends it to an almost important case of similarity of cluster well test planar sizes and spatial scale of heterogeneity. Thus, the present study has confirmed the possibility to apply standard methods in processing of cluster pumping data under planned heterogeneity conditions to estimate the equivalent aquifer transmissivity in the well cluster location area.
About the Authors
N. E. Sizov
Lomonosov Moscow State University
Russian Federation
Russian Federation
119991, Moscow, GSP-1, Leninskiye Gory, 1
S. P. Pozdniakov
Lomonosov Moscow State University
Russian Federation
Russian Federation
119991, Moscow, GSP-1, Leninskiye Gory, 1
N. N. Muromets
Lomonosov Moscow State University
Russian Federation
Russian Federation
119991, Moscow, GSP-1, Leninskiye Gory, 1
References
1. Боревский Б.В., Самсонов Б.Г., Язвин Л.С. Методика определения параметров водоносных горизонтов по данным откачек. М.: Недра, 1973. 304 с.
2. Мироненко В.А., Шестаков В.М. Теория и методы интерпретации опытно-фильтрационных работ. М.: Недра, 1978. 325 с.
3. Муромец Н.Н., Самарцев В.Н., Хакимова А.А., Василевский П.Ю. Влияние фильтрационной неоднородности донных отложений на разгрузку подземных вод в бассейне малой реки в естественных и нарушенных условиях // Вестн. Моск. ун-та. Сер. 4. Геология. 2018. № 1. С. 89–98.
4. Поздняков С.П., Сизов Н.Е., Лехов В.А. Размер зоны санитарной охраны водозаборной скважины в слоистонеоднородном пласте // Инженерная геология. 2019. Т. 14, № 2. С. 74–81.
5. Синдаловский Л.Н. ANSDIMAT — программный комплекс для определения параметров водоносных пластов. СПб.: Наука, 2011. 335 с.
6. Швидлер М.И. Фильтрационные течения в неоднородных пористых средах. М.: Гостоптехиздат, 1963. 136 с.
7. Швидлер М.И. Статистическая гидродинамика пористых сред. М.: Недра, 1985. 287 с.
8. Dagan G, Lessoff S.R. Transmissivity upscaling in numerical aquifer models of steady well flow: conditional statistics // Water Resour Res. 2007. Vol. 43, N 10. P. V. doi.org/10.1029/2007WR006028.
9. Harbaugh, A.W. MODFLOW-2005, The U.S. Geological Survey modular ground-water model—the Ground-Water Flow Process // U.S. Geol. Surv. Techniques and Methods 6-A16. 2005. P. V. DOI: org/10.3133/tm6A16.
10. Firmani G., Fiori A., Bellin A. Three-dimensional numerical analysis of steady state pumping tests in heterogeneous confined aquifers // Water Resour. Res. 2006. Vol. 42, W03422. DOI: 10.1029/2005WR004382.
11. Gelhar L.W. Stochastic subsurface hydrology. Prentice-Hall, 1993. 390 p.
12. Indelman P. Transient pumping well flow in weakly heterogeneous formations // Water Resour. Res. 2003. Vol. 39, N 10. P.V. 7-1–7-10. DOI: org/10.1029/2003WR002036.
13. Indelman P., Fiori A., Dagan G. Steady flow toward wells in heterogeneous formations: Mean head and equivalent conductivity // Water Resour. Res. 1996. Vol. 32, N 7. P. 1975–1983.
14. Pozdniakov S.P., Tsang C.F. A semianalytical approach to spatial averagingg of hydraulic conductivity in heterogeneous aquifers // J. Hydrology. 1999. Vol. 216, N 1-2. P. 78–98.
15. Remy N., Boucher A, Wu J. Applied Geostatistics with SGeMS. Cambridge, UK: Cambridge University Press, 2009.
Review
For citations:
Sizov N.E., Pozdniakov S.P., Muromets N.N. Impact of planned heterogeneity of hydraulic conductivity on the results of pumping in an isolated unconfined layer. Moscow University Bulletin. Series 4. Geology. 2021;1(3):113-123. (In Russ.) https://doi.org/10.33623/0579-9406-2021-3-113-123
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