VNII Galurgy Stock Co., Saint-Petersburg, Russia:

A. S. Sennov, Senior researcher, Candidate of Geological-Mineralogical Sciences, sennov.andrew@yandex.ru

The article deals with hydro-geodynamic schematization, which is a preliminary stage for any subsequent calculations or mathematical modeling. For hydrogeological calculations and simulation in the supra-salt sediments of VKMKS (Upper Kama deposit of potash salts) it is necessary to carry out hydro-geodynamic schematization of the aquifers. Due to complexity of geological structure and extreme heterogeneity of waterphysical properties such a schematization causes some difficulties. On the one hand, the existence of horizontally oriented cracking systems results in noticeable alterations of level surface in one and the same aquifer. Water-transmitting capability of sediments alters from fractions of m²/day up to 5000 and more. On the other hand, dissected terrain relief with relatively great elevation difference also affects shaping of level surface. Added to this is presence of mineralized waters with heightened density and this requires to use pressure heads. Therefore, notwithstanding a large volume of available data, they are difficult to use for detecting a hydrogeodynamical structure of (stream) flows. It is suggested to use for this purpose the multi-dimensional statistical methods. Here is given an example of data array processing by means of factor analysis using the principal components method. The data array in each case is selected using the GIS (geo-information system) techniques, taking into account its appurtenance to specific landscape elements. A number of significant components is being selected both considering formal mathematical criteria and on the basis of their interpretability. The components are being interpreted as aquifers, and interpretation is made mostly using a table of factor loadings, considering a cumulative percent of explained dispersion. So, a phreatic aquifer has perceptibly higher correlation with landscape relief and lower pressure horizon, on the contrary, depends mainly on the longitude, since the general direction of the flow is to the west, towards Kama river, and effect of relief on this horizon is insignificant. The uppermost pressure horizon correlates also with the overlying layer of waterbearing sediments. Significance of the suggested classification has been proved statistically.

1. Chesalov S. М., Shmagin B. А. Statisticheskie metody resheniya gydrogeologicheskih zadach na elektronno-vychislitelnoy mashine (Statistical methods of computer solution of hydrogeological tasks). Мoscow : Nedra, 1989.
2. Belkhiri L., Narany T. S. Using Multivariate Statistical Analysis, Geostatistical Techniques and Structural Equation Modeling to Identify Spatial Variability of Groundwater Quality. Water Resources Management. 2015. Vol. 29, Iss. 6. pp. 2073–2089.
3. Subbarao C., Subbarao V., Chandu N. Characterisation of groundwater contamination using factor analysis. Environmental Geology. 1996. 28 (4). pp. 175–180.
4. Ginzburg L. N., Tokavishchev I. A. Mnogomernyy analiz geokhimicheskikh dannykh Evropy (geokhimicheskoe rayonirovanie i otsenka ekologicheskogo sostoyaniya) (Multivariate analysis of European geochemical data (geochemical zoning and assessment of ecological condition)). Мoscow : JSC "Pangea", 2012. pp. 3–19.
5. Love D., Hallbauer D., Amos A., Hranova R. Factor analysis as a tool in groundwater quality management: two southern African case studies. Physics and Chemistry of the Earth. 2004. Vol. 29. pp. 1135–1143.
6. Hisafumi A., Naoyuki T., Katsuaki K. Application of GIS to Hydrogeological Structure Modelling Aimed at Conservation of Groundwater. Resources Geoinformatics. 2014. Vol. 25, No. 3. pp. 159–168.
7. Owoseni J. O., Tamarautobou E. U., Asiwaju-Bello Y. A. Application of Sequential Analysis and Geographic Information Systems for Hydrochemical Evolution Survey, Shagari Environ, Southwestern Nigeria. American International Journal of Contemporary Research. 2013. Vol. 3, No. 3. pp. 38–48.
8. Yaldygina N. GET MAP – novoe reshenie dlya sozdaniya veb-GIS (GET MAP – a new solution for web-GIS creating). SAPR i grafika = CAD and Graphics. 2016. No. 3. pp. 8–10.
9. Lurie I. K. Geoinformatsionnoe kartografirovanie. Metody geoinformatiki i tsifrovoy obrabotki kosmicheskih snimkov (GIS mapping. Methods of geoinformatics and digital processing of satellite images). Moscow : Knizhnyy Dom “Universitet”, 2010. 424 p.
10. Kevin H. D., Stewart R. Geograficheskie informatsionnye sistemy dlya admini strativno-hozyaystvennogo upravleniya (Geographic Information Systems (GIS) for administrative and economic management). Available at : https://docviewer.yandex.ru/?url=http%3A%2F%2Fwww.esri-cis.ru%2Fupload%2Fiblock%2Fee0%2FWP_GIS4Facility_Management_2010.pdf&name=WP_GIS4Facility_Management_2010.pdf&lang=ru&c=5704c215b013 (accessed : April 06, 2016).
11. Lu Yui. Modelirovanie vliyaniya soleotvalov kaliynykh kombinatov na filtratsionnye svoystva vodovmeshchayushchikh porod (na primere territorii vliyaniya vtorogo Solikamskogo kaliynogo rudoupravleniya): Avtoreferat dissertatsii ... kandidata geologo-mineralogi cheskikh nauk (Modeling the effect of salt piles at potassium plants on filtration properties of water-bearing rocks (on the example of the influence territory of the Solikamsk-2 potassium mine): thesis of inauguration of Dissertation ... of Candidate of Geological-Mineralogical Sciences). Moscow, 2012. 142 p.
12. Fetisov V. V. Geofiltratsionnaya skhematizatsiya nadsolevoy tolshchi Novosolikamskogo uchastka Verkhnekamskogo mestorozhdeniya soley (Geo-filtrational schematization at suprasalt formation of Novosolikamsk site of Verkhnekamskoe salt deposit). Vserossiyskaya konferentsiya po matematicheskomu modelirovaniyu v gidrogeologii : materialy konferentsii (All-Russian Conference on Mathematical Modeling in hydrogeology: materials of conference). Moscow, 2008. Available at : http://hge.spbu.ru/download/sbornik.pdf (accessed : April 06, 2016).
13. Milyutin A. G. Geologiya (Geology). Moscow : Publishing house “Yurayt”, 2014. 543 p.
14. Elektronnyy uchebnik StatSoft. Glavnye komponenty i faktornyy analiz (Electronic textbook StatSoft. Main components and factor analysis). Available at: http://www.statsoft.ru/home/textbook/modules/stfacan.html (accessed : April 06, 2016). (in Russian)
15. Rukovodstvo polzovatelya QGIS (User manual QGIS). Available at: http://docs.qgis.org/2.8/ru/docs/user_manual (accessed : April 06, 2016). (in Russian)
16. Courtney M. G. R. Determining the number of factors to retain in EFA: Using the SPSS R-Menu v2.0 to make more judicious estimations. Practical Assessment, Research and Evaluation. 2013. 18(8). Available at : http://pareonline.net/getvn.asp?v=18&n=8 (accessed : April 06, 2016).
17. Processing Modflow. An Integrated Modeling Environment for the Simulation of Groundwater Flow, Transport and Reactive Processes. Simcore Software. 2012. Available at : http://simcore.com/sites/default/files/pm/v8/pm8.pdf (accessed : April 06, 2016).