THE METHOD OF PIECEWISE APPROXIMATION OF STATIC CHARACTERISTICS OF DEEP-LYING HYDROLITHOSPHERIC PROCESSES

Abstract

This paper addresses the problem of describing the static characteristics of hydrolithospheric processes in deep-lying aquifers using the Essentuki mineral groundwater field, classified as a Category IV deposit in terms of geological complexity, as a case study. It is shown that classical methods for approximating distributed transfer functions, widely applied in the analysis and design of control systems for shallow aquifers at depths of 50–400 m, are not applicable to deep-lying conditions. This limitation is caused by high gas saturation of groundwater, pronounced structural heterogeneity of reservoirs, complex and often nonlinear hydraulic interaction between production and observation wells, as well as spatial and temporal variability of hydrochemical parameters. A modified method of piecewise approximation of static characteristics of hydrolithospheric processes is proposed. The method is based on the separate identification of parameters of approximating elements over individual distance intervals between wells using the results of pumping tests. The approach was implemented for the Cenomanian–Maastrichtian aquifer of the Novoblagodarnensky area of the Essentuki field, where hydraulic interaction coefficients between wells were calculated and static transfer functions were constructed for different spatial intervals, taking into account actual geological and filtration conditions. The results demonstrate that the use of piecewise approximation provides a better agreement with experimental data compared to homogeneous models and allows spatial variability of filtration properties to be taken into account. The obtained results form a methodological basis for forecasting hydrodynamic and gas–hydrochemical changes, assessing the stability of operating regimes, and developing and synthesizing control systems for regulating discharge rates of deep mineral groundwater wells. The practical significance of the study lies in the applicability of the proposed method to substantiating pilot industrial operation parameters, adjusting design solutions, interpreting monitoring and pumping test data, and formulating scientifically grounded recommendations for groundwater abstraction management, reduction of technogenic disturbances, and preservation of the stability of hydrolithospheric systems under conditions of intensive field development.

Authors

References

1. Bondin I.A., Snurnitsyn G.K. Avtomatizatsiya sistemy upravleniya dobychi i monitoringa skvazhin Es-sentukskogo mestorozhdeniya mineral'nykh podzemnykh vod [Automation of the control system for ex-traction and monitoring of wells at the Essentuki mineral groundwater field], Geologiya i nedropol'zovanie [Geology and Subsoil Use], 2023, No. 3, pp. 159-165.

2. Pershin I.M., Pomelyayko I.S. Sistemnyy analiz ekologicheskogo sostoyaniya zony gipergeneza kurorta Kislovodsk [System analysis of the ecological state of the hypergenesis zone of the Kislovodsk resort], Vestnik Severo-Kavkazskogo federal'nogo universiteta [Bulletin of the North-Caucasus Federal Univer-sity], 2013, No. 3 (36), pp. 74-80.

3. Bondin I.A. Sistemnyy analiz gidrolitosfernykh protsessov Essentukskogo mestorozhdeniya miner-al'nykh podzemnykh vod (Novoblagodarnenskiy uchastok) [System analysis of hydrolithospheric pro-cesses of the Essentuki mineral groundwater field (Novoblagodarnensky area)], Vesnik Sankt-Peterburskogo gosudarstvennogo universiteta tekhnologii i dizayna [Bulletin of Saint Petersburg State University of Industrial Technologies and Design], 2025, No. 2, pp. 5-15.

4. Bondin I.A., Snurnitsyn G.K. Sistemnyy analiz protsessov v gidrolitosfere Essentukskogo mestorozh-deniya mineral'nykh podzemnykh vod [System analysis of hydrolithospheric processes of the Essentuki mineral groundwater field], XII Vserossiyskoy nauchnoy konferentsii «Sis-temnyy sintez i prikladnaya sinergetika»: Sb. materialov konferentsii [XII All-Russian Scientific Conference “System Synthesis and Applied Synergetics”: Conference Proceeding], 2024, pp. 224-230.

5. Malkov A.V., Pershin I.M. Sintez raspredelennykh regulyatorov dlya sistem upravleniya gidro-litosfernymi protsessami: monografiya [Synthesis of distributed controllers for hydrolithospheric pro-cess control systems: monograph]. Moscow: Nauchnyy mir, 2007, 252 p.

6. Malkov A.V., Pershin I.M. Sistemy s raspredelennymi parametrami analiz i sintez: monografiya [Distrib-uted parameter systems: analysis and synthesis: monograph]. Moscow: Nauchnyy mir, 2012, 472 p.

7. Malkov A.V., Pershin I.M., Pomelyayko I.S. Analiz ekologicheskogo sostoyaniya gidromineral'noy bazy kurorta Kislovodsk [Analysis of the ecological state of the hydromineral resource base of the Kislovodsk resort], Izvestiya vysshikh uchebnykh zavedeniy. Geologiya i razvedka [Proceedings of Higher Educa-tional Institutions. Geology and Exploration], 2016, No. 1, pp. 12-22.

8. Malkov A.V., Pershin I.M., Pomelyayko I.S., Utkin V.A., Korolev B.I., Dubogrey V.F., Khmel' V.V., Per-shin M.I. Kislovodskoe mestorozhdenie uglekislykh mineral'nykh vod: sistemnyy analiz, diagnostika, prognoz, upravlenie: monografiya [Kislovodsk carbonated mineral water field: system analysis, diagnos-tics, forecasting, and control: monograph]. Moscow: Nauka, 2015, 283 p.

9. Pershin I.M., Veselov G.E., Pershin M.I. Approksimatsionnye modeli peredatochnykh funktsiy raspre-delennykh ob"ektov [Approximation models of transfer functions of distributed objects], Izvestiya YuFU. Tekhnicheskie nauki [Izvestiya SFedU. Engineering Sciences], 2015, No. 7 (168), pp. 126-138.

10. Pershin I.M., Veselov G.E., Pershin M.I. Metody approksimatsii peredatochnykh funktsiy raspredelen-nykh ob"ektov [Methods for approximating transfer functions of distributed objects. in: system synthe-sis and applied synergetics], Sistemnyy sintez i prikladnaya sinergetika: Sb. nauchnykh trudov VII Vse-rossiyskoy nauchnoy konferentsii [System Synthesis and Applied Synergetics: Proceedings of the VII All-Russian Scientific Conference], 2015, pp. 106-117.

11. Pershin I.M., Nosova V.A., Rusak S.N. Opredelenie parametrov raspredelennykh zven'ev, ap-proksimiruyushchikh gidrolitosfernye protsessy [Determination of parameters of distributed elements approximating hydrolithospheric processes], Sovremennaya nauka i innovatsii. Nauchnyy zhurnal [Modern Science and Innovations], 2021, Issue No. 2 (34), pp. 10-16.

12. Pershin I.M., Malkov A.V., Krishtal V.A. Postroenie sistemy upravleniya parametrami ekspluatatsii sis-temy dobychi mineral'noy vody v regione KMV [Development of a control system for operational pa-rameters of mineral water extraction in the Caucasian Mineral Waters region], Sovremennaya nauka i in-novatsii [Modern Science and Innovations], 2013, No. 1 (1), pp. 17-23.

13. Kukharova T.V., Pershin I.M., Utkin V.A. Modeling of a decision support system for a psychiatrist based on the dynamics of electrical conductivity parameters, Proceedings of the 2021 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering, ElConRus 2021, 2021, pp. 975-978.

14. Makarova A.A., Kaliberda I.V., Pershin I.M., Kovalev D.A. Modeling a production well flow control system using the example of the verkhneberezovskaya area, Proceedings of the 2022 Conference of Rus-sian Young Researchers in Electrical and Electronic Engineering, ElConRus 2022, 2022, pp. 760-764.

15. Pershin I.M., Papush E.G., Malkov A.V., Kukharova T.V., Spivak A.O. Оperational control of under-ground water exploitation regimes, Proceedings of 2019 3rd International Conference on Control in Technical Systems, CTS 2019, 2019, pp. 77-80.

16. Pershin I.M., Pervukhin D.A., Ilyushin Y.V., Afanaseva О.V. Design of distributed sys-tems of hydro-lithosphere processes management. A synthesis of distributed management systems, IOP Conf. Series: Earth and Environmental Science, 2017, 87, 032029, pp 1-7. doi: 10.1088/1755-1315/87/3/032029 (skop).

17. Kukharova T.V., Pershin I.M., Malkov A.V. The Study of Periodic Ef-fects on Parameters of Hydrolyto-spheric Processes, 2019 International Science and Technology Conference “EastConf”, 2019, pp. 7.

18. Pershin I.M., Kuz'min N.N., Malkov A.V. Formirovanie tselevykh funktsiy v zadachakh upravleniya gidrolitosfernymi protsessami [Formation of objective functions in hydrolithospheric process control problems], 5-ya Rossiyskaya mul'tikonferentsiya po problemam upravleniya: Sb. materialov konferentsii «Informatsionnye tekhnologii v upravlenii» (ITU-2012) [Proceedings of the 5th Russian Multiconfer-ence on Control Problems “Information Technologies in Control” (ITU-2012)], 2012, pp. 622-632.

19. Drovosekova T.I., Pershin I.M. Peculiarities of modelling hydro-lithospheric processes in the region of kavkazskiye mineralnye vody (caucasus mineral springs), Proceedings of the 19th International Confer-ence on Soft Computing and Measurements, SCM 2016, 2016, pp. 215-217.

20. Asadulagi M.A.M., Pershin I.M., Tsapleva V.V. Research on Hydrolithospheric processes using the results of groundwater inflow testing, Water, 2024, Vol. 16, No. 3, pp. 487

Скачивания

Published:

2025-12-30

Issue:

Section:

SECTION II. DATA ANALYSIS, MODELING AND CONTROL

Keywords:

Hydrolithospheric processes, mineral groundwater, Essentuki field, Cenomanian–Maastrichtian aquifer, pumping tests, hydraulic interaction coefficient, piecewise approximation

For citation:

I. А. Bondin THE METHOD OF PIECEWISE APPROXIMATION OF STATIC CHARACTERISTICS OF DEEP-LYING HYDROLITHOSPHERIC PROCESSES. IZVESTIYA SFedU. ENGINEERING SCIENCES – 2025. - № 6. – P. 81-89.